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Citations

Currently over 360 citations in international literature out of which are over 270 from international journals.

84
Liska R. Program For Stability and Accuracy Analysis of Finite-Difference Methods. Computer Physics Communications V. 34(#1-2) pp. 175-186 1984

  1. Donea J., Quartapelle L., Selmin V. An Analysis of Time Discretization in the Finite-Element Solution of Hyperbolic Problems. Journal of Computational Physics, V. 70(#2) pp. 463-499 1987. ISSN: 0021-9991

  2. Ganzha V.G., Vorozhtsov E.V. The Stability Analysis of Difference-Schemes by Numerical-Solution of the Generalized Routh-Hurwitz Problem. Computer Physics Communications, V. 43(#2) pp. 209-216 1987. ISSN: 0010-4655

  3. Ganzha V.G., Vorozhtsov E.V. Computer-Aided Analysis of Difference Schemes For Partial Differential Equations. J. Wiley, New York, 1996.

87
Drska L., Liska R. Computer algebra application to the physics of high parameter plasmas. In: 18th ECLIM, Prague 1987, 4-8 May Book of Abstract, 82.
  1. Hora H. Nonlinear Effects and Nonthermal Plasmas. Nuclear Instruments and Methods in Physics Research, Section A-Accelerators Spectrometers Detectors and Associated Equipment 1988, Vol 271, Iss 1, pp. 117-125. ISSN: 0168-9002

  2. Eliezer S., Hora H. Double-Layers in Laser-Produced Plasmas Source. Physics Reports - Review Section of Physics Letters 1989, Vol 172, Iss 6, pp. 339-407. ISSN: 0370-1573

89
V. Ganzha and R. Liska, Application of the REDUCE computer algebra system to stability analysis of difference schemes, in Computers and Mathematics '89, MIT, June 13-17, E. Kaltofen and S. M. Watt, eds., New York, 1989, Springer-Verlag, pp. 119-129.
  1. Werner M. Seiler. Computer Algebra and Differential Equations - An Overview. MathPAD vol. 7, pp. 34-49, 1997. MuPAD, Paderborn.

90a
Liska R. , Drska L. FIDE: a REDUCE package for automation of FInite difference method for solving pDE. In S. Watanabe and M. Nagata, editors, ISSAC '90, Proceedings of the International Symposium on Symbolic and Algebraic Computation Tokyo, August 20-24, 1990, 169-176, ACM Press, Addison Wesley, New York, (1990). ISBN: 0-201-54892-5

  1. Steinberg S., Roache P. Finite-Difference Algorithm Design and Automatic Code Generation. In Computer Algebra and Its Application to Mechanics, Proceedings of CAAM-90 (Novosibirsk, Irkutsk, Aug 28- Sept 3, 1990) V.G. Ganzha, V.M. Rudenko, E.V. Vorozhtsov eds., Nova Science, Commack NY, pp. 15-29, 1992.

  2. Kawata S., Iijima K., Boonmee C., Manabe Y. Computer-Assisted Scientific-Computation Simulation-Software-Development System : Including a Visualization System. IFIP Transactions A-Computer Science and Technology V. 48 pp. 145-153 1994. ISSN 0926-5473 ISBN 0-444-81543-0

  3. Ganzha V.G., Vorozhtsov E.V., Boers J., van Hulzen J.A. Symbolic-Numeric Stability Investigation of Jameson's Schemes for the Thin-layer Navier-Stokes Equations. In Proceedings ISSAC'94 (Oxford, UK, July 20-22,1994) J. von zur Gathen, M. Giesbrecht eds., ACM Press, New York, pp. 234-241, 1994.

  4. Ganzha V.G., Vorozhtsov E.V. Computer-Aided Analysis of Difference Schemes For Partial Differential Equations. J. Wiley, New York, 1996.

  5. Cremer J.F., Palmer R.S., Zippel R.E. Creating Scientific Software. Transactions of the Society for Computer Simulation V. 14(#1) pp. 37-49 Mar 1997.

  6. Manabe Y., Kawata S. , Boonmee C. Use of Stored-Numerical Data Information Extracted from a Computing Program in Scientific Visualization. International Journal of Modelling and Simulation, Vol.17, No.2, pp.166-168 1998. ISSN: 0228-6203

  7. Ganzha V.G., Vorozhtsov E.V. Diagram Design and Analysis of Aerodynamics Problems with Mathematica. Selcuk Journal of Applied Mathematics, Vol. 1, No.1, pp. 21-46, 2000.

  8. Bidegaray-Fesquet, B. Stability of FD-TD schemes for Maxwell-Debye and Maxwell-Lorentz equations. SIAM JOURNAL ON NUMERICAL ANALYSIS 46 (5): 2551-2566 2007. ISSN: 0036-1429

90b
Drska L., Liska R., Sinor M. 2 Practical Packages For Computational Physics : GCPM, RLFI. Computer Physics Communications , V. 61(#1-2) pp. 225-230 1990

  1. Nucci M.C. Interactive Reduce Programs fo Calculating Classical, Non-Classical, and Approximate Symmetries of Differential Equations. In Computational and Applied Mathematics II. Differential Equations, W.F. Ames, and P.J. Van der Houwen, Eds., Elsevier, Amsterdam (1992) pp. 345-350.

  2. Nucci M.C. Symmetries in Symbolic Computation. In "Differential Equations with Applications to Mathematical Physics" ed. W.F. Ames, E.M. Harrell II, J.V. Herod, pp. 249-260, Academic Press, Boston, 1993.

  3. Nucci M.C. Iterating the Nonclassical Symmetries Method. Physica D, V. 78(#1-2) pp. 124-134 Nov 1, 1994. ISSN: 0167-2789

  4. Allassia F., Nucci M.C. Symmetries and their Equations For the Laminar Boundary-Layer Model. Journal of Mathematical Analysis and Applications, V. 201(#3) pp. 911-942 Aug 1, 1996. ISSN: 0022-247X

  5. Belkov A.A., Lanyov A.V., Schaale A. Calculation of Heat-Kernel Coefficients and Usage of Computer Algebra. Computer Physics Communications, V. 95(#2-3) pp. 123-130 Jun 1996. ISSN: 0010-4655

91a
R. Liska and M. Yu. Shashkov. Algorithms for difference schemes construction on non-orthogonal logically rectangular meshes. In S. M. Watt, editor, International Symposium on Symbolic and Algebraic Computation, ISSAC'91, Bonn, July 15-17, 419-426, ACM Press, New York, (1991).

  1. Brackbill J.U. An Adaptive-Grid With Directional Control. Journal of Computational Physics V. 108(#1) pp. 38-50 Sep 1993. ISSN: 0021-9991

  2. Whalen P.P. Algebraic Limitations On 2-Dimensional Hydrodynamics Simulations. Journal of Computational Physics V. 124(#1) pp. 46-54 Mar 1, 1996. ISSN: 0021-9991

  3. Martinson WS, Barton PI. Distributed models in plantwide dynamic simulators. AICHE JOURNAL 47: (6) 1372-1386 JUN 2001. ISSN: 0001-1541

  4. Vladimir P. Gerdt, Yuri A. Blinkov and Vladimir V. Mozzhilkin Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations. SIGMA, SYMMETRY, INTEGRABILITY and GEOMETRY: METHODS and APPLICATIONS Vol. 2 (2006), Paper 051, 26 pages. ISSN 1815-0659

91b
R. Liska. Numerical code generation for finite difference schemes solving. In C. Brezinski and U. Kulisch, editors, Computational and Applied Mathematics I - Algorithms and theory, Selected and revised papers from the 13th IMACS World Congress, Dublin, Ireland, July 22-26 1991, 295-303, Elsevier, IMACS, Amsterdam, (1992).

  1. Kawata S., Iijima K., Boonmee C., Manabe Y. Computer-Assisted Scientific-Computation Simulation-Software-Development System : Including a Visualization System. IFIP Transactions A-Computer Science and Technology V. 48 pp. 145-153 1994. ISSN 0926-5473 ISBN 0-444-81543-0

  2. Manabe Y., Kawata S., Boonmee C. Use of Stored-Numerical Data Information Extracted from a Computing Program in Scientific Visualization. International Journal of Modelling and Simulation, Vol.17, No.2, pp.166-168(1998). ISSN: 0228-6203

92a
Drska L., Limpouch J., Liska R. Fokker-Planck Simulations of Ultrashort-Pulse Laser Plasma Interactions. Laser and Particle Beams , V. 10(#3) pp. 461-471 1992. ISSN: 0263-0346

  1. Pulsifer P.E., Whitney K.G. Fokker-Planck Analysis of Short-Pulse Laser-Heating in the Hot-Spot Model Approximation. Physical Review E, V. 50(#6) pp. 4926-4936 Dec 1994. ISSN: 1063-651X

  2. Bell, A.R., Transport in Laser-Produced Plasmas, In: Laser-Plasma Interactions 5: Inertial Confinement Fusion, ed. Hooper M.B., SUSSP Publications, Edinburgh & Institute of Physics Publishing, London 1995, pp. 139-167.

  3. A.A. Andreev, I.V. Kurnin, Numerical simulation of subpicosecond laser plasma x-ray emission, JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS 13 (1996), 402-405. ISSN: 0740-3224

  4. Zhang Y., Zhang J., Pan S.H., Nie Y.X. A Simple-Model For Electron-Temperature and Penetration Depth in Interaction of Ultra-Short Laser-Pulses With Solid Targets. Journal of Physics D-Applied Physics, V. 30(#4) pp. 655-660 Feb 21, 1997. ISSN: 0022-3727

  5. Andreev AA, Borodin VG, Komarov VM, et al. Simulation of the population inversion at hydrogen-like FIX and LiIII ion transitions in a recombining laser plasma. OPTICS AND SPECTROSCOPY 84: (3) 318-323 MAR 1998. ISSN: 0030-400X

  6. Ethier S, Matte JP. Electron kinetic simulations of solid density Al plasmas produced by intense subpicosecond laser pulses. I. Ionization dynamics in 30 femtosecond pulses. PHYS PLASMAS 8: (5) 1650-1658 Part 1 MAY 2001. ISSN: 1070-664X

  7. Andreev AA ABSORPTION OF A SHORT LASER-PULSE OBLIQUELY INCIDENT ONTO HIGHLY INHOMOGENEOUS-PLASMA IZVESTIYA AKADEMII NAUK SERIYA FIZICHESKAYA (JUN 1994) Vol.58, iss.6, p.167-174 ISSN: 0367-6765

92b
Drska L., Liska R., Sinor M. Computer algebra and integrated mathematical systems in education of physical sciences. In: R.A. de Groot and J. Nadrchal, editors, Physics Computing '92, World Scientific, Singapore, (1993), pp. 320-321.

  1. Damiano J.P., Scotto M., Ribero J.M. Computer-Algebra Systems and Electromagnetic Problems. IEEE Antennas and Propagation Magazine V. 38(#6) pp. 92-98 Dec 1996. ISSN: 1045-9243

  2. Damiano, J.P., Ghio, G. Computer Algebra Systems Applied To Some Electromagnetic Problems. Annales Des Telecommunication - Annals of Telecommunications 1997, Vol 52, Iss 5-6, pp. 306-318. ISSN: 0003-4347

93a
Liska R., Steinberg S. Applying Quantifier Elimination To Stability Analysis of Difference-Schemes. Computer Journal , V. 36(#5) pp. 497-503 1993.

  1. V. Weispfenning. Solving parametric polynomial equations and inequalities by symbolic algorithms. In J. Fleischer, J. Grabmeier, F. W. Hehl, and W. Kuchlin, editors, Computer Algebra in Science and Engineering. World Scientific Publishing, 1995.

  2. Hong H. The Exact Region of Stability For Maccormack Scheme. Computing V. 56(#4) pp. 371-383 1996. ISSN: 0010-485X

  3. Ioakimidis N.I. Quantifier Elimination in Applied Mechanics Problems With Cylindrical Algebraic Decomposition. International Journal of Solids and Structures, V. 34(#30) pp. 4037-4070 Oct 1997. ISSN: 0020-7683

  4. Weispfenning V. Simulation and Optimization by Quantifier Elimination. Journal of Symbolic Computation, V. 24(#2) pp. 189-208 Aug 1997. ISSN: 0747-7171

  5. Caviness B.F., Johnson J.R., eds. Quantifier Elimination and Cylindrical Algebraic Decomposition. Springer Verlag, Wien, 1998.

  6. Petru Pau, Josef Schicho. Quantifier Elimination for Trigonometric Polynomials by Cylindrical Trigonometric Decomposition. Electronic Proceedings of the 5th International IMACS Conference on Applications of Computer Algebra El Escorial, Spain June 24-27, 1999.

  7. Pau P, Schicho J. Quantifier elimination for trigonometric polynomials by cylindrical trigonometric decomposition. JOURNAL OF SYMBOLIC COMPUTATION 29: (6) 971-983 JUN 2000. ISSN: 0747-7171

  8. Hirokazu Anai and Volker Weispfenning. Deciding linear-trigonometric problems. Proceedings of ISSAC'2000. International Symposium on Symbolic and Algebraic Computation, pp. 14-22, ACM Press 2000.

  9. Ratschan S. Quantified constraints under perturbation. JOURNAL OF SYMBOLIC COMPUTATION 33: (4) 493-505 APR 2002. ISSN: 0747-7171

  10. Johannes Grabmeier, Erich Kaltofen, Volker Weispfenning. Computer algebra handbook. Springer, New York 2003. ISBN:3-540-65466-6

  11. Weispfenning, V. Robust stability for parametric linear ODEs. (2007) Lecture Notes in Computer Science, 4770 LNCS Computer Algebra in Scientific Computing 10th International Workshop, CASC 2007, Bonn, Germany, September 16-20, 2007, pp. 402-422. ISSN: 0302-9743

  12. Hong H, El Din MS Variant Real Quantifier Elimination: Algorithm and Application ISSAC2009: PROCEEDINGS OF THE 2009 INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION Pages: 183-190, 2009 34th International Symposium on Symbolic and Algebraic Computation, JUL 28-31, 2009 Korea Inst Adv Study, Seoul, SOUTH KOREA ISBN: 978-1-60558-609-0

93b
R. Liska, M. Yu. Shashkov, and A.V. Solovjov, Support-operators Method for PDE Discretization: Symbolic Algorithms and Realization, Mathematics and Computers in Simulation, IMACS,V.35, 1993, pp. 173-183.

  1. Martinson WS, Barton PI. Distributed models in plantwide dynamic simulators. AICHE JOURNAL 47: (6) 1372-1386 JUN 2001. ISSN: 0001-1541

  2. Vladimir P. Gerdt, Yuri A. Blinkov and Vladimir V. Mozzhilkin. Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations. SIGMA, SYMMETRY, INTEGRABILITY and GEOMETRY: METHODS and APPLICATIONS Vol. 2 (2006), Paper 051, 26 pages. ISSN 1815-0659

94a
Kocbach L., Liska R. Closed-Form Formula For the Exchange Integrals in the Impact-Parameter Treatment of Heavy-Particle Collisions. Journal of Physics B-Atomic Molecular and Optical Physics , V. 27(#18) pp. L619-L624 Sep 28, 1994.
  1. Kuang J.Y., Lin C.D. 2-Center Exchange Integrals For Complex Exponent Slater Orbitals. Journal of Physics B-Atomic Molecular and Optical Physics, V. 29(#24) pp. L889-L895 Dec 28, 1996. ISSN: 0953-4075

94b
Liska R, Steinberg S. Using Computer Algebra To Test Stability. Working Notes, Oct 1994. University of New Mexico, Albuquerque.

  1. Weispfenning V. Simulation and Optimization by Quantifier Elimination. Journal of Symbolic Computation, V. 24(#2) pp. 189-208 Aug 1997. ISSN: 0747-7171

  2. M. Wester. A Critique of the Mathematical Abilities of CA Systems. In: Computer Algebra Systems, A Practical Guide, editor M.J. Wester, Wiley, 1999, p. 25-60.

94c
Limpouch J., Drska L., Liska R. Fokker-Planck Simulations of Interactions of Femtosecond Laser-Pulses With Dense-Plasmas. Laser and Particle Beams , V. 12(#1) pp. 101-110 1994.

  1. Gibbon P., Forster E. Short-Pulse Laser-Plasma Interactions. Plasma Physics and Controlled Fusion, V. 38(#6) pp. 769-793 Jun 1996. ISSN: 0741-3335

  2. Yashin V.E., Andreev A.A., Bayanov V.I., Vankov A.B., Kozlov A.A., Kurnin I.V., Solovev N.A., Chizhov S.A. Production of High-Contrast Picosecond Pulses in a Nd-Glass Laser System and their Application For the Generation of X-Ray-Radiation in a High-Temperature Plasma. Laser Physics, V. 8(#2) pp. 556-560 Mar-Apr 1998. ISSN: 1054-660X

  3. Duclous, R., Dubroca, B., Filbet, F., Tikhonchuk, V. High order resolution of the Maxwell-Fokker-Planck-Landau model intended for ICF applications (2009) Journal of Computational Physics, 228 (14) pp. 5072-5100. ISSN: 0021-9991

94d
Feagin J.M., Kocbach L., Liska R., Numez A. Mathematica Notebook and Package On Matrix Elements of Coulomb Interaction between Electrons. University of Bergen, 1994. http://www.fi.uib.no/AMOS/mathME

  1. M.P. Barnett. Molecular integrals and information processing. International Journal of Quantum Chemistry, vol. 95, is. 6, pp. 791-805 2003. ISSN: 0020-7608

  2. M.P. Barnett, J.F. Capitani, J. von zur Gathen, J. Gerhard. Symbolic Calculation in Chemistry: Selected Examples. International Journal of Quantum Chemistry, vol. 100, is. 2, pp. 80-104 2004. ISSN: 0020-7608

  3. Roger W. Anderson, Vincenzo Aquilanti and Cristiane da Silva Ferreira Exact computation and large angular momentum asymptotics of 3nj symbols: Semiclassical disentangling of spin networks THE JOURNAL OF CHEMICAL PHYSICS 129, 161101, 2008. ISSN: 0021-9606

95a
R. Liska, L. Margolin, and B. Wendroff. Nonhydrostatic two-layer models of incompressible flow, Computers and Math. with Applic., 29, 9, 25-37, (1995).

  1. Runar Holdahl, Helge Holden, and Knut-Andreas Lie. Unconditionally Stable Splitting Methods for the Shallow Water Equations. BIT, Vol. 39, No.3, pp. 451-472 (1999). ISSN: 0006-3835

  2. Choi W, Camassa R. Fully nonlinear internal waves in a two-fluid system. JOURNAL OF FLUID MECHANICS 396: 1-36 OCT 10 1999. ISSN: 0022-1120

  3. SR Clarke, ER Johnson. Supercritical leaps in two-layer hydraulics. - maths.monash.edu.au Submitted to Proceedings of the 14th Australasian Fluid Mechanics Conference, 2001.

  4. Barannyk LL, Papageorgiou DT. Fully nonlinear gravity-capillary solitary waves in a two-fluid system of finite depth. JOURNAL OF ENGINEERING MATHEMATICS 42: (3-4) 321-339 APR 2002. ISSN: 0022-0833

  5. Antar N, Moodie TB. Weakly nonhydrostatic effects in compositionally-driven gravity flows. STUD APPL MATH 111: (2) 239-267 AUG 2003. ISSN: 0022-2526

  6. Antar, N; Moodie, TB. Self-similarity and the evaluation of long-time nonhydrostatic effects in compositionally driven gravity flows in deep surroundings. STUDIES IN APPLIED MATHEMATICS, 114 (3): 211-239 APR 2005. ISSN: 0022-2526

  7. Teshukov, VM; Gavrilyuk, SL. Three-dimensional nonlinear dispersive waves on shear flows. STUDIES IN APPLIED MATHEMATICS 116 (3): 241-255 APR 2006. ISSN: 0022-2526

  8. Camassa, R; Choi, W; Michallet, H; Rusas, PO; Sveen, JK. On the realm of validity of strongly nonlinear asymptotic approximations for internal waves. JOURNAL OF FLUID MECHANICS; FEB 25 2006; v.549, p.1-23. ISSN: 0022-1120

  9. Barros, R.; Gavrilyuk, S. L.; Teshukov, V. M. Dispersive nonlinear waves in two-layer flows with free surface. I. Model derivation and general properties. STUDIES IN APPLIED MATHEMATICS 119 (3): 191-211 OCT 2007. ISSN: 0022-2526

  10. Jo, TC; Choi, WY. On stabilizing the strongly nonlinear internal wave model. STUDIES IN APPLIED MATHEMATICS 120 (1): 65-85 JAN 2008. ISSN: 0022-2526

  11. Barros, R; Choi, W Inhibiting Shear Instability Induced by Large Amplitude Internal Solitary Waves in Two-Layer Flows with a Free Surface STUDIES IN APPLIED MATHEMATICS 122 (3): 325-346 APR 2009 ISSN: 0022-2526

95b
Communication Liska R. 1995. (published later in Hong H., Liska R., Steinberg S. Testing Stability by Quantifier Elimination. Journal of Symbolic Computation , V. 24(#2) pp. 161-187 Aug 1997. )
  1. LeVeque R.J. High-Resolution Conservative Algorithms For Advection in Incompressible-Flow. SIAM Journal On Numerical Analysis V. 33(#2) pp. 627-665 Apr 1996.

95c
Hong H., Jahn M., Liska R., Robidoux N., Steinberg S. Parallel quantifier elimination on SP2. In Electronic proceedings of the 1-st IMACS Conference on Applications of Computer Algebra, Albuquerque, May 1995.

  1. Ioakimidis N.I. Quantifier Elimination in Applied Mechanics Problems with Cylindrical Algebraic Decomposition. International Journal of Solids and Structures, V. 34(#30) pp. 4037-4070 Oct 1997. ISSN: 0020-7683

95d
Abdallah C.T., Dorato P., Liska R., Steinberg S., Wang W. Applications of quantifier elimination theory to control system design, Technical Report EECE95-007, University of New Mexico, 1995.

  1. J Garloff. Application of Bernstein Expansion to the Solution of Control Problems. Reliable Computing 6, 303-320 (2000). ISSN: 1385-3139

95e
E. Kant and A. Yau and R. Liska and S. Steinberg. A problem-solving environment for generating certifiably correct problems to solve evolution equations. Preprint, March 1995.

  1. Korelc, J. Automatic generation of finite-element code by simultaneous optimization of expressions. Theoretical Computer Science, Volume 187, Issue 1-2, 15 November 1997, Pages 231-248. ISSN: 0304-3975

96a
Abdallah C.T., Dorato P., Yang W., Liska R., and Steinberg S. Applications of quantifier elimination theory to control system design. Proceedings 4th IEEE Mediteranean Symposium on Control and Automation, June 1996, Maleme, Crete, pp. 340-345.

  1. Jirstrand M. Nonlinear Control-System Design by Quantifier Elimination. Journal of Symbolic Computation V. 24(#2) pp. 137-152 Aug 1997. ISSN: 0747-7171

  2. A. Dolzmann and T. Sturm. REDLOG: Computer algebra meets computer logic. SIGSAM Bulletin (ACM Special Interest Group on Symbolic and Algebraic Manipulation), V. 31 (#2), pp. 2-9 (1997).

  3. Mats Jirstrand. Curve Following for Nonlinear Dynamic Systems Subject to Control Constraints. 1997 American Control Conference, 15th, Albuquerque, NM; UNITED STATES; 4-6 June 1997. pp. 1838-1842. 1997.

  4. Thomas Sturm and Volker Weispfenning. Computational geometry problems in Redlog. In Dongming Wang, editor, Automated Deduction in Geometry, volume 1360 of Lecture Notes in Artificial Intelligence (Subseries of LNCS), pages 58-86. Springer-Verlag, Berlin Heidelberg, 1998.

  5. Andreas Dolzmann, Thomas Sturm, and Volker Weispfenning. Real quantifier elimination in practice. In B. H. Matzat, G.-M. Greuel, and G. Hiss, editors, Algorithmic Algebra and Number Theory, pages 221-247. Springer, Berlin, 1998.

  6. Dolzmann A, Sturm T, Weispfenning V. A new approach for automatic theorem proving in real geometry. JOURNAL OF AUTOMATED REASONING 21: (3) 357-380 DEC 1998. ISSN: 0168-7433

  7. H Anai. Solving LMI and BMI Problems by Quantifier Elimination. Proceedings of IMACS-ACA 1998, Prague.

  8. Weispfenning V. Mixed Real-Integer Linear Quantifier Elimination. ISSAC'99, Proceedings of the International Symposium on Symbolic and Algebraic Computation, S. Dooley editor.pp. 129-136, ACM Press, New York, 1999. ISBN: 1-58113-073-2

  9. J Garloff. Application of Bernstein Expansion to the Solution of Control Problems. Reliable Computing 6, 303-320 (2000). ISSN: 1385-3139

  10. Corrado Guarino Lo Bianco and Aurelio Piazzi. Worst-Case Optimal Static Output Feedback for Uncertain Systems. Optimization and Engineering, Volume 3, Number 4. December 2002, Pages: 379 - 393. ISSN: 1389-4420

  11. Anai, H. Yanami, H. Hara, S. SyNRAC: a maple-package for solving real algebraic constraints toward a robust parametric control toolbox. SICE 2003 Annual Conference, 4-6 Aug. 2003. Volume: 1, On page(s): 346- 351 Vol.1. ISBN: 0-7803-8352-4

  12. A Dolzmann, A Seidl. REDLOG First-Order Logic for the Masses. J.JSSAC (2003) Vol. 10, No. 1, pp. 23 - 33 .

  13. Johannes Grabmeier, Erich Kaltofen, Volker Weispfenning. Computer algebra handbook. Springer, New York 2003. ISBN:3-540-65466-6

  14. H Anai, S Hara. Parametric Robust Control by Quantifier Elimination. J.JSSAC (2003) Vol. 10, No. 1, pp. 41 - 51.

  15. Hirokazu Anai and Hitoshi Yanami. SyNRAC: A Maple-Package for Solving Real Algebraic Constraints. Lecture Notes in Computer Science Springer-Verlag GmbH Volume 2657 / 2003. Chapter: pp. 828 - 837. ISSN: 0302-9743

  16. F Benhamou, F Goualard, E Languenou, M Christie. Interval constraint solving for camera control and motion planning. ACM Transactions on Computational Logic, Vol. 5, No. 4, p. 732-767, 2004. ISSN: 1529-3785

  17. Herrero, P., Sainz, M.A., Vehi, J., Jaulin, L. Quantified Set Inversion with applications to control. 2004 Proceedings of the IEEE International Symposium on Computer-Aided Control System Design, pp. 179-183.

  18. Anai, H., Yanami, H., Hara, S., Sakabe, K. Fixed-structure robust controller synthesis based on symbolic-numeric computation: Design algorithms with a CACSD toolbox. 2004 Proceedings of the IEEE International Conference on Control Applications 2, pp. 1540-1545.

  19. Sakabe, K., Yanami, H., Anai, H., Hara, S. A MATLAB toolbox for robust control synthesis by symbolic computation. SICE 2004 Annual Conference, Vols 1-3 Pages: 1968-1973 Published: 2004 SICE 2004 Annual Conference, AUG 04-06, 2005 Sapporo, JAPAN. ISBN: 4-907764-22-7

  20. Stefan Ratschan. Efficient Solving of Quantified Inequality Constraints over the Real Numbers. ACM Transactions on Computational Logic 7 (4), pp. 723-748, 2006. ISSN: 1529-3785

  21. Kitamoto, T., Yamaguchi, T. On the computation of the defining polynomial of the algebraic riccati equation. (2007) Lecture Notes in Computer Science, 4770 LNCS Computer Algebra in Scientific Computing 10th International Workshop, CASC 2007, Bonn, Germany, September 16-20, 2007, Proceedings Ganzha, V.G.; Mayr, E.W.; Vorozhtsov, E.V. (Eds.) pp. 224-235. ISSN: 0302-9743

  22. Hyodo, N., Hong, M., Yanami, H., Hara, S., Anai, H. Solving and visualizing nonlinear parametric constraints in control based on quantifier elimination : A MATLAB toolbox for parametric control system design. 2007 Applicable Algebra in Engineering, Communications and Computing 18 (6), pp. 497-512. ISSN: 0938-1279

  23. Kitamoto, T; Yamaguchi, T. The optimal H-infinity norm of a parametric system achievable using a static feedback controller. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES E90A (11): 2496-2509 NOV 2007. ISSN: 0916-8508

  24. Yanami H, Anai H. The Maple package SyNRAC and its application to robust control design. FUTURE GENERATION COMPUTER SYSTEMS-THE INTERNATIONAL JOURNAL OF GRID COMPUTING THEORY METHODS AND APPLICATIONS Volume: 23 Issue: 5 Pages: 721-726 Published: JUN 2007. International Workshop on Computer Algebra Systems and their Applications, 2006 Reading, ENGLAND. ISSN: 0167-739X

  25. Kitamoto, T; Yamaguchi, T. The optimal H-infinity norm of a parametric system achievable by an output feedback controller. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES E91A (7): 1713-1724 JUL 2008. ISSN: 0916-8508

  26. Kitamoto, T., Yamaguchi, T. On the Hankel singular values for a parametric system (2008) Proceedings of the SICE Annual Conference, art. no. 4655236, pp. 3309-3314. ISBN: 978-4-907764-30-2

  27. Kitamoto, T. Expressions of the phase and gain margins as roots of polynomials and its applications (2009) ICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings, art. no. 5335293, pp. 1498-1503. ISBN: 978-490776433-3

96b
Liska R., Steinberg S. The Stability of Boundary Conditions. 2-nd IMACS International Conference on Applications of Computer Algebra, RISC, Linz, Austria. July 1996.

  1. Ioakimidis N.I. Quantifier Elimination in Applied Mechanics Problems with Cylindrical Algebraic Decomposition. International Journal of Solids and Structures, V. 34(#30) pp. 4037-4070 Oct 1997. ISSN: 0020-7683

96c
R. Liska and B. Wendroff: Composite Schemes for Conservation Laws, 1996, LA-UR 96-3589, LANL, Los Alamos.

  1. Li, L; Barry, DA. Groundwater effects on sediment transport: A modelling study of the mechanisms underlying beach dewatering for erosion control HYDRAULICS OF RIVERS WATER WORKS AND MACHINERY, VOL II, THEME D, PROCEEDINGS; 2001; p.294-305 29th Annual Congress of the International-Association-of-Hydraulic-Engineering-and-Research (IAHR); September 16-21, 2001; BEIJING INT CONVENT CTR; BEIJING, PEOPLES R CHINA.

  2. Li L, Barry DA, Pattiaratchi CB, Masselink, G. BeachWin: modelling groundwater effects on swash sediment transport and beach profile changes. ENVIRONMENTAL MODELLING & SOFTWARE 17: (3) 313-320 2002. ISSN: 1364-8152

  3. Dauhoo, MZ; Appadu, AR. A comparative study of three composite schemes: Lax-Wendroff/Lax-Friedrichs, Mac-Cormack/Lax-Friedrichs and corrected Lax-Friedrichs Lax-FriedrichS schemes, based on conservation laws COMPUTATIONAL FLUID DYNAMICS 2004, PROCEEDINGS; 2006;p.823-824 3rd International Conference on Computational Fluid Dynamics; July 12-16, 2004; Toronto, CANADA.

96d
S. Steinberg and R. Liska. Stability analysis by quantifier elimination, Mathematics and Computers in Simulation,42, 4-6, 629-638, (1996).
  1. Banshchikov A, Bourlakova L. Computer algebra and problems of motion stability. MATH COMPUT SIMULAT 57: (3-5) 161-174 Sp. Iss. SI SEP 26 2001. ISSN 0378-4754

  2. Bidegaray-Fesquet, B. Stability of FD-TD schemes for Maxwell-Debye and Maxwell-Lorentz equations. SIAM JOURNAL ON NUMERICAL ANALYSIS 46 (5): 2551-2566 2007. ISSN: 0036-1429

97a
Hong H., Liska R., Steinberg S. Testing Stability by Quantifier Elimination. Journal of Symbolic Computation , V. 24(#2) pp. 161-187 Aug 1997.
  1. Sturm T., Weispfenning. Computational Geometry Problems in REDLOG. Lecture Notes in Computer Science Vol. 1360, Selected Papers from the International Workshop on Automated Deduction in Geometry, editor: D. Wang, 1996, ACM, pp. 58-86.

  2. Dolzmann A., Sturm T. Simplification of Quantifier-Free Formulas over Ordered Fields. Journal of Symbolic Computation, V. 24(#2) pp. 209-231 Aug 1997. ISSN: 0747-7171

  3. A. Dolzmann and T. Sturm. REDLOG: Computer algebra meets computer logic. SIGSAM Bulletin (ACM Special Interest Group on Symbolic and Algebraic Manipulation), V. 31 (#2), pp. 2-9 (1997).

  4. Dolzmann A, Sturm T, Weispfenning V. A new approach for automatic theorem proving in real geometry. JOURNAL OF AUTOMATED REASONING 21: (3) 357-380 DEC 1998. ISSN: 0168-7433

  5. Thomas Sturm and Volker Weispfenning. Computational geometry problems in Redlog. In Dongming Wang, editor, Automated Deduction in Geometry, volume 1360 of Lecture Notes in Artificial Intelligence (Subseries of LNCS), pages 58 86. Springer-Verlag, Berlin Heidelberg, 1998.

  6. Durran D. Numerical Methods For Wave Equations in Geophysical Fluid Dynamics. Springer-Verlag, New York, 1998.

  7. Andreas Dolzmann, Thomas Sturm, and Volker Weispfenning. Real quantifier elimination in practice. In B. H. Matzat, G.-M. Greuel, and G. Hiss, editors, Algorithmic Algebra and Number Theory, pages 221-247. Springer, Berlin, 1998.

  8. Sturm T. Reasoning over networks by symbolic methods. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING 10: (1) 79-96 SEP 1999. ISSN: 0938-1279

  9. Ying JQ, Xu L, Lin ZP. A computational method for determining strong stabilizability of n-D systems. JOURNAL OF SYMBOLIC COMPUTATION 27: (5) 479-499 MAY 1999. ISSN: 0747-7171

  10. M. Wester. A Critique of the Mathematical Abilities of CA Systems In: Computer Algebra Systems, A Practical Guide, editor M.J. Wester, Wiley, 1999, p. 25-60.

  11. Gobel M, Kuchlin W, Muller S, Weber A. Extending a Java based framework for scientific software-components. 2nd Workshop on Computer Algebra in Scientific Computing (CASC 99), MAY 31-JUN 04, 1999 MUNICH, GERMANY CASC'99: COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING Pages: 207-222. 1999. ISBN: 3-540-66047-X

  12. El Kahoui M, Weber A. Deciding Hopf bifurcations by quantifier elimination in a software-component architecture. JOURNAL OF SYMBOLIC COMPUTATION 30: (2) 161-179 AUG 2000. ISSN: 0747-7171

  13. Pau P, Schicho J. Quantifier elimination for trigonometric polynomials by cylindrical trigonometric decomposition. JOURNAL OF SYMBOLIC COMPUTATION 29: (6) 971-983 JUN 2000. ISSN: 0747-7171

  14. Gonzalez-Campos, N; Gonzalez-Vega, L. Computing the Cylindrical Algebraic Decomposition adapted to a set of equalities COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING; 2000; p.203-217 3rd Workshop on Computer Algebra in Scientific Computing (CASC 2000); October 5-9, 2000; UNIV SAMARKAND; SAMARKAND, UZBEKISTAN.

  15. G. Lafferriere, G.J. Pappas, G. Schneider and S. Yovine. Parameter Synthesis in Robot Motion Planning Using Symbolic Reachability Computation. In: Proceedings of 8th IEEE Mediterranean Conference on Control and Automation. Rio, Greece, July 2000. 6 p.

  16. Brown CW. Improved projection for cylindrical algebraic decomposition. J SYMB COMPUT 32: (5) 447-465 NOV 2001. ISSN: 0747-7171

  17. Banshchikov A, Bourlakova L. Computer algebra and problems of motion stability. MATH COMPUT SIMULAT 57: (3-5) 161-174 Sp. Iss. SI SEP 26 2001. ISSN 0378-4754

  18. Lafferriere G, Pappas GJ, Yovine S. Symbolic reachability computation for families of linear vector fields. J SYMB COMPUT 32: (3) 231-253 SEP 2001. ISSN: 0747-7171

  19. H. Anai and V. Weispfenning. Reach set computations using real quantifier elimination. In M. D. Di Benedetto and A. Sangiovanni-Vincentelli, editors, Hybrid Systems: Computation and Control HSCC 2001, Lecture Notes in Computer Science, Vol. 2034, pp.63-?.

  20. Stefan Ratschan. Approximate Quantified Constraint Solving by Cylindrical Box Decomposition. Reliable Computing 8:(1),21-42, 2002. ISSN: 1385-3139

  21. Ratschan S. Quantified constraints under perturbation. JOURNAL OF SYMBOLIC COMPUTATION 33: (4) 493-505 APR 2002. ISSN: 0747-7171

  22. R.J. LeVeque. Finite Volulme Methods for Hyperbolic Problems. Cambridge University Press, 2002.

  23. M. El Kahoui, A. Weber. Symbolic Equilibrium Point Analysis in Parametrized Polynomial Vector Fields. in V.G. Ganzha, E.W. Mayr, E.V. Vorozhtsov (editors), Computer Algebra in Scientific Computing, CASC 2002, 71-83, Technische Universitat Munchen, 2002.

  24. S. Ratschan. Continuous first-order constraint satisfaction. In J. Calmet, B. Benhamou, O. Caprotti, L. Henocque, and V. Sorge, editors, Artificial Intelligence, Automated Reasoning, and Symbolic Computation, number 2385 in LNCS, pages 181-195. Springer, 2002.

  25. JQ Ying, L Xu, M Kawamata. Robust Stability and Stabilization of n-D Systems. CD Proceeding of MTNS 2002, editors: D.S. Gilliam, J. Rosenthal Fifteenth International Symposium on Mathematical Theory of Networks and Systems University of Notre Dame, August 12-16, 2002 http://www.mtns2004.be/mtns2002/.

  26. WM Seiler, A Weber. Deciding ellipticity by quantifier elimination Computer Algebra in Scientific Computing - CASC 2003, V.G. Ghanza, E.W. Mayr, E.V. Vorozhtsov (eds.), TU München 2003, pp. 347-355.

  27. A Dolzmann, A Seidl. REDLOG First-Order Logic for the Masses. J.JSSAC (2003) Vol. 10, No. 1, pp. 23 - 33.

  28. Johannes Grabmeier, Erich Kaltofen, Volker Weispfenning. Computer algebra handbook. Springer, New York 2003. ISBN:3-540-65466-6

  29. Stefan Ratschan. Convergent Approximate Solving of First-Order Constraints by Approximate Quantifiers. ACM Transactions on Computational Logic. volume 5, nr 2, pages 264-281, 2004, ISSN: 1529-3785

  30. Richardson, DG; Krandick, W. Compiler-enforced memory semantics in the SACLIB computer algebra library. COMPUTER ALGEBRA IN SCIENFIFIC COMPUTING, PROCEEDINGS, LECTURE NOTES IN COMPUTER SCIENCE 3718: 330-343 2005 8th International Workshop on Computer Algebra in Scientific Computing; September 12-16, 2005; Kalamata, GREECE Editor: Ganzha, VG; Mayr, EW; Vorozhtsov, EV. ISSN: 0302-9743

  31. Strzebonski, A.W. Cylindrical Algebraic Decomposition using validated numerics. (2006) Journal of Symbolic Computation, 41 (9) pp. 1021-1038. ISSN: 0747-7171

  32. Brown, CW; El Kahoui, M; Novotni, D; Weber, A. Algorithmic methods for investigating equilibria in epidemic modeling. JOURNAL OF SYMBOLIC COMPUTATION 41 (11): 1157-1173 NOV 2006. ISSN: 0747-7171

  33. Sturm, T. New domains for applied quantifier elimination. Source: LECTURE NOTES IN COMPUTER SCIENCE; 2006; v.4194, p.295-301 Conference: 9th International Workshop on Computer Algebra in Scientific Computing (CASC 2006); September 11-15, 2006; Chisinau, MOLDOVA.

  34. Kitamoto, T; Yamaguchi, T. The optimal H-infinity norm of a parametric system achievable using a static feedback controller. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES E90A (11): 2496-2509 NOV 2007. ISSN: 0916-8508

  35. Kitamoto, T., Yamaguchi, T. On the computation of the defining polynomial of the algebraic riccati equation. (2007) Lecture Notes in Computer Science, 4770 LNCS Computer Algebra in Scientific Computing 10th International Workshop, CASC 2007, Bonn, Germany, September 16-20, 2007, Proceedings Ganzha, V.G.; Mayr, E.W.; Vorozhtsov, E.V. (Eds.) pp. 224-235. ISSN: 0302-9743

  36. Weispfenning, V. Robust stability for parametric linear ODEs. (2007) Lecture Notes in Computer Science, 4770 LNCS Computer Algebra in Scientific Computing 10th International Workshop, CASC 2007, Bonn, Germany, September 16-20, 2007, pp. 402-422. ISSN: 0302-9743

  37. Zinovik, I., Kroening, D., Chebiryak, Y. An algebraic algorithm for the identification of glass networks with periodic orbits along cyclic attractors. 2007 Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 4545 LNCS, pp. 140-154.

  38. Niu, W., Wang, D. Algebraic approaches to stability analysis of biological systems. (2008) Mathematics in Computer Science, 1 (3) pp. 507-539. ISSN: 1661-8270

  39. Kitamoto, T; Yamaguchi, T. The optimal H-infinity norm of a parametric system achievable by an output feedback controller. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES E91A (7): 1713-1724 JUL 2008. ISSN: 0916-8508

  40. Kitamoto, T., Yamaguchi, T. On the Hankel singular values for a parametric system (2008) Proceedings of the SICE Annual Conference, art. no. 4655236, pp. 3309-3314. ISBN: 978-4-907764-30-2

  41. Kitamoto, T Extension of the Algorithm to Compute H-infinity Norm of a Parametric System IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES E92A (8): 2036-2045 AUG 2009 ISSN: 0916-8508

  42. Kitamoto, T Algebraic Approach to the Computation of the Defining Polynomial of the Algebraic Riccati Equation COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING, PROCEEDINGS LNCS 5743: 168-179 2009 ISSN: 0302-9743, ISBN: 978-3-642-04102-0

  43. El Kahoui, M., Otto, A. Stability of disease free equilibria in epidemiological models (2009) Mathematics in Computer Science, 2 (3) pp. 517-533. ISSN: 166-18270

  44. Kitamoto, T. Expressions of the phase and gain margins as roots of polynomials and its applications (2009) ICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings, art. no. 5335293, pp. 1498-1503. ISBN: 978-490776433-3

97b
R. Liska and B. Wendroff. Analysis and computation with stratified fluid models.
J. Comp. Phys.,137, 212-244, (1997).

  1. Runar Holdahl, Helge Holden, and Knut-Andreas Lie. Unconditionally Stable Splitting Methods for the Shallow Water Equations. BIT, Vol. 39, No.3, pp. 451-472 (1999). ISSN: 0006-3835

  2. Eleuterio F. Toro. Shock-Capturing Methods for Free-Surface Shallow Flows. John Wiley & Sons, 2001. ISBN: 0471987662

  3. Kreiss, HO; Ystrom, J. A note on viscous conservation laws with complex characteristics. BIT NUMERICAL MATHEMATICS 46: S55-S59 Suppl. S NOV 2006. ISSN: 0006-3835

  4. Percival, JR; Cotter, CJ; Holm, DD. A Euler-Poincare framework for the multilayer Green-Nagdhi equations. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 41 (34): Art. No. 344018 AUG 29 2008. ISSN: 1751-8113

  5. Bresch, D. Shallow-Water Equations and Related Topics (2009) Handbook of Differential Equations: Evolutionary Equations, 5 pp. 1-104. ISSN: 18745717, ISBN: 978-044453222-0 Book series Volume Editors: Dafermos C.M., Pokorny M.

  6. Bajpayi, M., Raghurama Rao, S.V. A Finite Variable Difference Relaxation Scheme for hyperbolic-parabolic equations (2009) Journal of Computational Physics, 228 (20) pp. 7513-7542. ISSN: 0021-9991

  7. Stewart, A.L., Dellar, P.J. Multilayer shallow water equations with complete Coriolis force. Part 1. Derivation on a non-traditional beta-plane (2010) Journal of Fluid Mechanics, 651 pp. 387-413. ISSN: 0022-1120

97c
H. Hong, R. Liska, S. Steinberg Logic, quantifiers, computer algebra and stability. SIAM News 30 (6), 10, 1997

  1. Banshchikov A, Bourlakova L. Computer algebra and problems of motion stability. MATH COMPUT SIMULAT 57: (3-5) 161-174 Sp. Iss. SI SEP 26 2001. ISSN 0378-4754

97d
H. Hong, R. Liska eds. Applications of Quantifier Elimination. Journal of Symbolic Computation 1997; 24(2), pp.123. special issue.

  1. Ioakimidis N.I. Application of Computer-Generated Finite-Difference Equations To Decision and Inverse Problems in Elasticity. Computers and Structures V. 68(#5) pp. 529-541 Sep 1998. ISSN: 0045-7949

  2. Ioakimidis NI. Derivation of feasibility conditions in engineering problems under parametric inequality constraints with classical Fourier elimination. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 48 (11): 1583-1599 AUG 20 2000. ISSN: 0029-5981

98a
R. Liska and B. Wendroff. Composite schemes for conservation laws.
SIAM J. Numer. Anal., 35, 6, 2250-2271 (1998).

  1. Brassier, MS, Gallice, G. A Roe scheme for the bi-temperature model of magnetohydrodynamics. In 16th International Conference on Numerical Methods in Fluid Dynamics Bruneau, CH,ed., LECTURE NOTES IN PHYSICS 515, 1998, pp. 260-265 JUL 06-10, 1998, ARCACHON, FRANCE SPRINGER. ISSN 0075-8450 ISBN 3-540-65153-5

  2. Runar Holdahl, Helge Holden, and Knut-Andreas Lie. Unconditionally Stable Splitting Methods for the Shallow Water Equations. BIT, Vol. 39, No.3, pp. 451-472 (1999). ISSN: 0006-3835

  3. Androsov AA, Vol'tsinger NE, Liberman YM, Romanenkov DA. Modeling the dynamics of waters in the Strait of Gibraltar. IZVESTIYA ATMOSPHERIC AND OCEANIC PHYSICS 36: (4) 484-499 JUL-AUG 2000. ISSN: 0001-4338

  4. Berezovski A, Engelbrecht J, Maugin GA. Thermoelastic wave propagation in inhomogeneous media. ARCHIVE OF APPLIED MECHANICS 70: (10) 694-706 DEC 2000. ISSN: 0939-1533

  5. Berezovski, A; Engelbrecht, J; Maugin, GA. Two-dimensional thermoelastic wave propagation in inhomogeneous media. FIFTH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND NUMERICAL ASPECTS OF WAVE PROPAGATION; 2000; p.113-117 5th International Conference on Mathematical and Numerical Aspects of Wave Propagation; July 10-14, 2000; SANTIAGO DE COMPOSTELA, SPAIN. ISBN: 0-89871-470-2

  6. Lage, A.C.V.M., Fjelde, K.K., Time, R.W. Underbalanced Drilling Dynamics: Two-Phase Flow Modeling and Experiments. Proceedings of the IADC/SPE Asia Pacific Drilling Technology Conference, APDT pp. 117-128 2000.

  7. S. Brassier, G. Gallice. A Roe Scheme for the Bi-Temperature Model of Magnetohydrodynamics. Computers and Mathematics with Applications 41, 257-267, (2001). ISSN: 0898-1221

  8. Smolarkiewicz PK, Margolin LG, Wyszogrodzki AA. A class of nonhydrostatic global models. JOURNAL OF THE ATMOSPHERIC SCIENCES 58: (4) 349-364 2001. ISSN: 0022-4928

  9. Berezovski A, Maugin GA. Simulation of thermoelastic wave propagation by means of a composite wave-propagation algorithm. J COMPUT PHYS 168: (1) 249-264 MAR 20 2001. ISSN: 0021-9991

  10. L. Li and D. A. Barry. GROUNDWATER EFFECTS ON SEDIMENT TRANSPORT: A MODELLING STUDY OF THE MECHANISMS UNDERLYING BEACH DEWATERING FOR EROSION CONTROL XXIX IAHR CONGRESS, Sept. 16-21, 2001. Beijing, China. p. 294.

  11. Berezovski, A; Maugin, GA. Application of wave-propagation algorithm to two-dimensional thermoelastic wave propagation in inhomogeneous media. GODUNOV METHODS: THEORY AND APPLICATIONS; 2001; p.109-116 International Conference on Godunov Methods - Theory and Applications; October 18-22, 1999; OXFORD, ENGLAND. ISBN: 0-306-46601-5

  12. Berezovski A, Maugin GA. Thermoelastic wave and front propagation. JOURNAL OF THERMAL STRESSES 25: (8) 719-743 AUG 2002. ISSN: 0149-5739

  13. Shi J, Hu CQ, Shu CW. A technique of treating negative weights in WENO schemes. JOURNAL OF COMPUTATIONAL PHYSICS 175: (1) 108-127 JAN 1 2002. ISSN: 0021-9991

  14. R.J. LeVeque. Finite Volulme Methods for Hyperbolic Problems. Cambridge University Press, 2002.

  15. Lage ACVM, Fjelde KK, Time RW. Underbalanced drilling dynamics: Two-phase flow modeling and experiments. SPE J 8: (1) 61-70 MAR 2003. ISSN: 1086-055X

  16. Shu CW. High-order finite difference and finite volume WENO schemes and discontinuous galerkin methods for CFD INT J COMPUT FLUID D 17: (2) 107-118 APR 2003. ISSN: 1061-8562

  17. Sebastian K, Shu CW. Multidomain WENO finite difference method with interpolation at subdomain interfaces. JOURNAL OF SCIENTIFIC COMPUTING 19: (1-3) 405-438 DEC 2003. ISSN: 0885-7474

  18. Rossmanith J.A. A constrained transport method for the shallow water MHD equations. In T. Hou and E. Tadmor, editors, Hyperbolic Problems Theory, Numerics, Applications, pages 851-860, Berlin, Heidelberg, 2003. Springer. Ninth International Conference in Pasadena March 2002. ISBN: 3-540-44333-9

  19. De Vuyst, F. Stable and accurate hybrid finite volume methods based on pure convexity arguments for hyperbolic systems of conservation law. JOURNAL OF COMPUTATIONAL PHYSICS; JAN 20 2004; v.193, no.2, p.426-468. ISSN: 0021-9991

  20. Rasulov M. The finite differences scheme for the first order system of nonlinear differential equations in a class of discontinuous functions. APPLIED MATHEMATICS AND COMPUTATION 154 (3): 671-681 JUL 15 2004. ISSN: 0096-3003

  21. Feng, LL; Shu, CW; Zhang, MP. A hybrid cosmological hydrodynamic/N-body code based on a weighted essentially nonoscillatory scheme. ASTROPHYSICAL JOURNAL, 612 (1): 1-13 Part 1 SEP 1 2004. ISSN: 0004-637X

  22. Berezovski, A; Maugin, GA. Stress-induced phase-transition front propagation in thermoelastic solids. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 24 (1): 1-21 JAN-FEB 2005. ISSN: 0997-7538

  23. Rasulov, M., Asian, Z., Pakdil, O. Finite differences method for shallow water equations in a class of discontinuous functions. Applied Mathematics and Computation (New York) 160 (2), pp. 343-353 2005. ISSN: 0096-3003

  24. Praud O., Fincham A.M. The structure and dynamics of dipolar vortices in a stratified fluid. (2005) Journal of Fluid Mechanics, 544, pp.1-22. ISSN: 0022-1120

  25. Toro, EF; Titarev, VA. MUSTA fluxes for systems of conservation laws. JOURNAL OF COMPUTATIONAL PHYSICS 216 (2): 403-429 AUG 10 2006. ISSN: 0021-9991

  26. Appadu, A.R., Dauhoo, M.Z., Rughooputh, S.D.D.V. Efficient shock-capturing numerical schemes using the approach of minimised integrated square difference error for hyperbolic conservation laws. Computational Science and Its Applications - ICCSA 2007, Pt 3, Proceedings, LECTURE NOTES IN COMPUTER SCIENCE Volume: 4707 Pages: 774-789, 2007. ISSN: 0302-9743

  27. Kumar, V., Raghurama Rao, S.V. Composite scheme using localized relaxation with non-standard finite difference method for hyperbolic conservation laws. (2008) Journal of Sound and Vibration, 311 (3-5) pp. 786-801. ISSN: 0022-460X

  28. Yoon, D., Hwang, W. Two-dimensional Riemann problem for Burgers' equation. (2008) Bulletin of the Korean Mathematical Society, 45 (1) pp. 191-205. ISSN: 1015-8634

  29. Appadu, A.R., Dauhoo, M.Z., Rughooputh, S.D.D.V. Control of numerical effects of dispersion and dissipation in numerical schemes for efficient shock-capturing through an optimal Courant number. (2008) Computers and Fluids, 37 (6) pp. 767-783. ISSN: 0045-7930

  30. Aureli, F., Maranzoni, A., Mignosa, P., Ziveri, C. A weighted surface-depth gradient method for the numerical integration of the 2D shallow water equations with topography. (2008) Advances in Water Resources, 31 (7) pp. 962-974. ISSN: 0309-1708

  31. Aureli, F; Maranzoni, A; Mignosa, P; Ziveri, C. Dam-break flows: Acquisition of experimental data through an imaging technique and 2D numerical modeling. JOURNAL OF HYDRAULIC ENGINEERING-ASCE 134 (8): 1089-1101 AUG 2008. ISSN: 0733-9429

  32. Liu, G., Zhang, S. High order hybrid central-WENO AMR method for gaseous detonation. (2008) Jisuan Wuli/Chinese Journal of Computational Physics, 25 (4) pp. 387-395. ISSN: 1001-246X

  33. Marghany, M., Hashim, M., Cracknell, A.P. Volterra algorithm for modelling sea surface current circulation from satellite altimetry data. COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2008, PT 2, PROCEEDINGS (2008) Lecture Notes in Computer Science , 5073 LNCS (PART 2) pp. 119-128. ISSN: 0302-9743

  34. Pathak, K; Povitsky, A Multi-Time Step Modeling of Plume Dynamics in Nanosecond-Scale Carbon Ablation JOURNAL OF NANOSCIENCE AND NANOTECHNOLOGY 8 (11): 6075-6081 NOV 2008 ISSN: 1533-4880

  35. Shu, C.-W. High order weighted essentially nonoscillatory schemes for convection dominated problems (2009) SIAM Review, 51 (1) pp. 82-126. ISSN: 0036-1445

  36. Eleuterio F. Toro Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction, Springer; 3rd edition (April 27, 2009)

  37. Piotrowski, Z.P., Smolarkiewicz, P.K., Malinowski, S.P., Wyszogrodzki, A.A. On numerical realizability of thermal convection (2009) Journal of Computational Physics, 228 (17) pp. 6268-6290. ISSN: 0021-9991

  38. Dubey, RK; Kadalbajoo, MK Composite high resolution localized relaxation scheme based on upwinding for hyperbolic conservation laws INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 61 (6): 638-657 OCT 30 2009 ISSN: 0271-2091

  39. Dubey, R.K. A composite semi-conservative scheme for hyperbolic conservation laws (2010) Applied Mathematics and Computation, 215 (9) pp. 3335-3342. ISSN: 0096-3003

  40. A.R.Appadu and M.Z.Dauhoo A NOTE ON THE TWO VERSIONS OF LAX-FRIEDRICHS SCHEME Proceedings of the 2007 International Conference On Scientific Computing, CSC'2007 Editors Hamid R. Arabnia, Jack Y. Yang and Mary Qu Yang June 25-28, 2007, Las Vegas, Nevada, USA, CSREA Press 2007, pp. 55-61 ISBN 1-60132-037-X

  41. Marghany, M. Volterra - Lax-wendroff algorithm for modelling sea surface flow pattern from jason-1 satellite altimeter data (2009) Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 5730 LNCS pp. 1-18. ISSN: 0302-9743 ISBN: 364210648X; 978-364210648-4

  42. Jerez Galiano, S., Uh Zapata, M. A new TVD flux-limiter method for solving nonlinear hyperbolic equations (2010) Journal of Computational and Applied Mathematics, 234 (5) pp. 1395-1403. ISSN: 0377-0427

  43. Marghany, M. Finite difference model for modeling sea surface current from RADARSAT-1 SAR data (2009) International Geoscience and Remote Sensing Symposium (IGARSS), 2, art. no. 5418123, pp. II487-II490. ISBN: 978-142443395-7

98b
L. Kocbach and R. Liska. Generation and verification of algorithms for symbolic-numeric processing.
J. Symbolic Computation, 25, 367-382, (1998).

  1. Caillat, J; Dubois, A; Sundvor, I; Hansen, JP. Classical and semiclassical calculations of electron transfer cross sections in keV-energy ion-molecule collisions. PHYSICAL REVIEW A, 70 (3): Art. No. 032715 SEP 2004. p.032715-1-032715-10. ISSN: 1050-2947

  2. GR Laureano, DS de Freitas. Using Meta-inference with Prolog to Preserve Accuracy in Numerical Equation Solving. The 12th Biennial Computational Techniques and Applications Conference 27 September - 1 October 2004 The University of Melbourne, Victoria, Australia http://www.conferences.unimelb.edu.au/CTAC2004.

98c
R. Liska, M. Shashkov and B. Swartz, Smoothly blending successive circular interpolants in two and three dimensions. Technical Report LA-UR 98-4969, LANL, Los Alamos (1998).

  1. Sequin CH, Lee K, Yen J. Fair, G(2)- and C-2-continuous circle splines for the interpolation of sparse data points. COMPUTER-AIDED DESIGN 37 (2): 201-211 FEB 2005. ISSN: 0010-4485

98d
Hong, H., Liska, R., Robidoux, N., Steinberg, S. Eliminating Variables in Parallel. Workshop on Parallel Symbolic Computation, October 1-3, 1998 MSRI, Berkeley, California, U.S.A.

  1. Khanin, R., Cartmell, M. Parallelization of Perturbation Analysis: Application to Large-scale Engineering Problems. 2001 Journal of Symbolic Computation 31 (4), pp. 461-473. ISSN: 0747-7171

99a
R. Liska and B. Wendroff. 2D Shallow Water Equations by Composite Schemes.
Int. J. Numerical Methods in Fluids, 30, 461-479 (1999).

  1. Runar Holdahl, Helge Holden, and Knut-Andreas Lie. Unconditionally Stable Splitting Methods for the Shallow Water Equations. BIT, Vol. 39, No.3, pp. 451-472 (1999). ISSN: 0006-3835

  2. Louaked M, Hanich L. TVD-multiresolution scheme for the shallow water equations. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 331: (9) 745-750 NOV 1 2000. ISSN: 1631-073X

  3. Honzatko R., Janda M. and Kozel K. Numerical Solution Of 2d Steady And Unsteady Flows Using Composite. Proceedings of ALGORITMY 2000 Conference on Scientific Computing, pp. 68-74, 2000.

  4. Eleuterio F. Toro. Shock-Capturing Methods for Free-Surface Shallow Flows. John Wiley & Sons, 2001. ISBN: 0471987662

  5. Wang JW, Liu RX. The composite finite volume method on unstructured meshes for the two-dimensional shallow water equations. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 37: (8) 933-949 DEC 30 2001. ISSN: 0271-2091

  6. Lalli, F; Berti, D; Miozzi, M; Miscione, F; Porfidia, B; Serva, L; Vittori, E; Romano, GP. Analysis of breakwater-induced environmental effects at Pescara (Adriatic sea, Italy) channel-harbor. PROCEEDINGS OF THE ELEVENTH (2001) INTERNATIONAL OFFSHORE AND POLAR ENGINEERING CONFERENCE, VOL II; 2001; p.404-408, 11th International Offshore and Polar Engineering Conference (ISOPE-2001); June 17-22, 2001; STAVANGER, NORWAY.

  7. Shi J, Hu CQ, Shu CW. A technique of treating negative weights in WENO schemes. JOURNAL OF COMPUTATIONAL PHYSICS. 175: (1) 108-127 JAN 1 2002. ISSN: 0021-9991

  8. R.J. LeVeque. Finite Volulme Methods for Hyperbolic Problems. Cambridge University Press, 2002.

  9. Ha SY, Yu SH. Wave front tracing and asymptotic stability of planar travelling waves for a two-dimensional shallow river model. J DIFFER EQUATIONS 186: (1) 230-258 NOV 20 2002. ISSN: 0022-0396

  10. Lalli, F; Miozzi, M; Romano, GP. Some remarks on river mouth flow, PROCEEDINGS OF THE TWELFTH (2002) INTERNATIONAL OFFSHORE AND POLAR ENGINEERING CONFERENCE, VOL 3; 2002; p.659-664 12th International Offshore and Polar Engineering Conference (ISOPE-2002); May 26-31, 2002; KYUSHU, JAPAN Editor: Chung, JS; Koterayama, W; Kim, CH; Li, Y. ISBN: 1-880653-58-3

  11. Shu CW. High-order finite difference and finite volume WENO schemes and discontinuous galerkin methods for CFD. INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS 17: (2) 107-118 APR 2003. ISSN: 1061-8562

  12. Sebastian K, Shu CW. Multidomain WENO finite difference method with interpolation at subdomain interfaces. JOURNAL OF SCIENTIFIC COMPUTING 19: (1-3) 405-438 DEC 2003. ISSN: 0885-7474

  13. Tang, HZ. Solution of the shallow-water equations using an adaptive moving mesh method. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS; MAR 10 2004; v.44, no.7, p.789-810. ISSN: 0271-2091

  14. Rao P. A moving domain formulation for modeling two dimensional open channel transient flows. APPLIED MATHEMATICS AND COMPUTATION 154 (3): 769-781 JUL 15 2004. ISSN: 0096-3003

  15. Feng, LL; Shu, CW; Zhang, MP. A hybrid cosmological hydrodynamic/N-body code based on a weighted essentially nonoscillatory scheme. ASTROPHYSICAL JOURNAL, 612 (1): 1-13 Part 1 SEP 1 2004. ISSN: 0004-637X

  16. Aureli F, Mignosa P. Flooding scenarios due to levee breaking in the Po river. PROCEEDINGS OF THE INSTITUTION OF CIVIL ENGINEERS-WATER MANAGEMENT 157 (1): 5-14 MAR 2004. ISSN: 1741-7589

  17. Lalli, F; Falchi, M; De Antoniis, L; Romano, GP. Jet-wall interaction in shallow water. PROCEEDINGS OF THE FOURTEENTH (2004) INTERNATIONAL OFFSHORE AND POLAR ENGINEERING CONFERENCE, VOL 3; 2004; p.313-320 Conference: 14th International Offshore and Polar Engineering Conference (ISOPE 2004); May 23-28, 2004; Toulon, FRANCE. ISBN: 1-880653-62-1

  18. Farrall, M., Simmons, K., Hibberd, S., Gorse, P. A numerical model for oil film flow in an aero-engine bearing chamber and comparison with experimental data. Proceedings of the ASME Turbo Expo 2004 4 pp. 409-417.

  19. Lamby, P; Muller, S; Stiriba, Y. Solution of shallow water equations using fully adaptive multiscale schemes. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 49 (4): 417-437 OCT 10 2005. ISSN: 0271-2091

  20. Wang, J.-W., Liu, R.-X. Combined finite volume-finite element method for shallow water equations. Computers and Fluids 34 (10), pp. 1199-1222, 2005. ISSN: 0045-7930

  21. Chen, JZ; Shi, ZK; Hu, YM. High-resolution central difference scheme for the shallow water equations. ACTA OCEANOLOGICA SINICA, 24 (5): 39-45 2005. ISSN: 0253-505X

  22. Chen J.-Z., Shi Z.-K. High-resolution semi-discrete central scheme for dam-break problems. (2005) Journal of Hydrodynamics, 17 (5), pp.585-589.

  23. Farrall M, Simmons K, Hibberd S, et al. A numerical model for oil film flow in an aeroengine bearing chamber and comparison to experimental data. JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER-TRANSACTIONS OF THE ASME 128 (1): 111-117 JAN 2006. ISSN: 0742-4795

  24. Cueto-Felgueroso L., Colominas I., Fe J., Navarrina F., Casteleiro M. High-order finite volume schemes on unstructured grids using moving least-squares reconstruction. Application to shallow water dynamics. (2006) International Journal for Numerical Methods in Engineering, 65 (3), pp.295-331. ISSN: 0029-5981

  25. Farrall, M; Hibberd, S; Simmons, K; Giddings, D. Prediction of air/oil exit flows in a commercial aero-engine bearing chamber. PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART G-JOURNAL OF AEROSPACE ENGINEERING 220 (G3): 197-202 JUN 2006. ISSN: 0954-4100

  26. Liang, DF; Lin, BL; Falconer, RA. A boundary-fitted numerical model for flood routing with shock-capturing capability. JOURNAL OF HYDROLOGY 332 (3-4): 477-486 JAN 15 2007. ISSN: 0022-1694

  27. Lalli, F; Falchi, M; Romano, GP; Romolo, A; Verzicco, R. Jet-wall interaction in shallow waters. INTERNATIONAL JOURNAL OF OFFSHORE AND POLAR ENGINEERING 17 (3): 213-217 SEP 2007. ISSN: 1053-5381

  28. Touma, R. Central unstaggered finite volume methods for shallow water equations (2007) AIP Conference Proceedings, 936 pp. 551-554. ISSN: 0094-243X

  29. Bland-Hawthorn, J; Sutherland, R; Agertz, O; Moore, B. The source of ionization along the Magellanic Stream. ASTROPHYSICAL JOURNAL 670 (2): L109-L112 Part 2 DEC 1 2007. ISSN: 0004-637X

  30. Yoon, D., Hwang, W. Two-dimensional Riemann problem for Burgers' equation. (2008) Bulletin of the Korean Mathematical Society, 45 (1) pp. 191-205. ISSN: 1015-8634

  31. Appadu, A.R., Dauhoo, M.Z., Rughooputh, S.D.D.V. Control of numerical effects of dispersion and dissipation in numerical schemes for efficient shock-capturing through an optimal Courant number. (2008) Computers and Fluids, 37 (6) pp. 767-783. ISSN: 0045-7930

  32. Chen, J., Shi, Z., Hu, Y. A comparative study of high-resolution central scheme for solving the 2D shallow water equations. (2008) 2nd International Conference on Bioinformatics and Biomedical Engineering, iCBBE 2008, art. no. 4535196, pp. 4629-4632.

  33. Shu, C.-W. High order weighted essentially nonoscillatory schemes for convection dominated problems (2009) SIAM Review, 51 (1) pp. 82-126. ISSN: 0036-1445

  34. Bland-Hawthorn, J Warm gas accretion onto the Galaxy GALAXY DISK IN COSMOLOGICAL CONTEXT, PROCEEDINGS OF THE 254TH SYMPOSIUM OF THE IAU : 241-254 2009 ISSN: 1743-9213 ISBN: 978-0-521-88985-8

  35. Touma, R Central unstaggered finite volume schemes for hyperbolic systems: Applications to unsteady shallow water equations APPLIED MATHEMATICS AND COMPUTATION 213 (1): 47-59 JUL 1 2009 ISSN: 0096-3003

  36. Piotrowski, Z.P., Smolarkiewicz, P.K., Malinowski, S.P., Wyszogrodzki, A.A. On numerical realizability of thermal convection (2009) Journal of Computational Physics, 228 (17) pp. 6268-6290. ISSN: 0021-9991

99b
R. Liska and B. Wendroff. Composite Centered Schemes for Multidimensional Conservation Laws.
In Hyperbolic Problems: Theory, Numerics, Applications, Seventh International Conference in Zürich, February 1998, Vol. II ETH Zürich, February 9-13, 1998. Editors M. Fey and R. Jeltsch, 661-670, Birkhäuser, ISNM1 Int. Ser Numer. Math., Vol.130, Basel, 1999.

  1. Lukacova-Medvid'ova M, Saibertova J, Warnecke G. Finite volume evolution Galerkin methods for nonlinear hyperbolic systems J COMPUT PHYS 183: (2) 533-562 DEC 10 2002. ISSN: 0021-9991

99c
R. Liska and B. Wendroff.
Where numerics can benefit from computer algebra in finite difference modelling of fluid flows.
In V. Ganzha, E.W. Mayr, and E.V. Vorozhtsov, editors, Computer Algebra in Scientific Computing, CASC-99, pages 268-286, Berlin, Heidelberg, 1999. Springer-Verlag.
Proceedings of the Second Workshop on Computer Algebra in Scientific Computing, Munich, May 31-June 4, 1999.

  1. B. Karasozen, V.G. Tsybulin. Conservative Finite Difference Schemes for Cosymmetric Systems. In V. Ganzha, E.W. Mayr, and E.V. Vorozhtsov, editors, Computer Algebra in Scientific Computing, CASC 2001, 363-375, Springer Verlag, Berlin, 2001.

  2. Johannes Grabmeier, Erich Kaltofen, Volker Weispfenning. Computer algebra handbook. Springer, New York 2003. ISBN:3-540-65466-6

  3. Frischmuth K, Tsybulin VG. Families of equilibria and dynamics in a population kinetics model with cosymmetry. PHYSICS LETTERS A 338 (1): 51-59 APR 18 2005. ISSN: 0375-9601

99c
Liska, R., Drska, L., Limpouch, J., Sinor, M., Wester M. and Winkler F. Computer Algebra, Algorithms, Systems and Applications February 1999. Available at http://kfe.fjfi.cvut.cz/ liska/ca/

  1. Ahmed HM Recurrence relation approach for expansion and connection coefficients in series of classical discrete orthogonal polynomials INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS Volume: 20 Issue: 1 Pages: 23-34 Published: 2009 ISSN: 1065-2469

00
Hong, H., Liska, R., Robidoux, N., Steinberg, S. Elimination of variables in parallel. (2000) SIAM News, 33 (8), pp. 12-13.
  1. Marco, A., Martinez, J.-J. Parallel computation of determinants of matrices with polynomial entries. 2004 Journal of Symbolic Computation 37 (6), pp. 749-760. ISSN: 0747-7171

  2. Marco, A., Martinez, J.-J. Structured matrices in the application of bivariate interpolation to curve implicitization. 2007 Mathematics and Computers in Simulation 73 (6), pp. 378-385. ISSN: 0378-4754

01a
Li H., Colgate S.A., Wendroff B., Liska R. Rossby wave instability of thin accretion disks. III. Nonlinear simulations. ASTROPHYSICAL JOURNAL 551: (2) 874-896, Part 1 APR 26 2001.

  1. Bisnovatyi-Kogan GS, Lovelace RVE. Advective accretion disks and related problems including magnetic fields. NEW ASTRONOMY REVIEWS 45: (11-12) 663-742 DEC 2001. ISSN: 1387-6473

  2. Davis SS. Vorticity-induced wave motion in a compressible protoplanetary disk. ASTROPHYS J 576: (1) 450-461 Part 1 SEP 1 2002. ISSN: 0004-637X

  3. Kronberg PP. Intergalactic magnetic fields. PHYSICS TODAY 55: (12) 40-46 DEC 2002. ISSN: 0031-9228

  4. Cameron AGW. Some nucleosynthesis effects associated with r-process jets. ASTROPHYS J 587: (1) 327-340 Part 1 APR 10 2003. ISSN: 0004-637X

  5. Klahr HH, Bodenheimer P. Turbulence in accretion disks: Vorticity generation and angular momentum transport via the global baroclinic instability. ASTROPHYS J 582: (2) 869-892 Part 1 JAN 10 2003. ISSN: 0004-637X

  6. Kronberg PP. Galaxies and the magnetization of intergalactic space. PHYSICS OF PLASMAS 10: (5) 1985-1991 Part 2 MAY 2003. ISSN: 1070-664X

  7. Barge, P; Viton, M. KH 15D: A star eclipsed by a large-scale dusty vortex? ASTROPHYSICAL JOURNAL; AUG 20 2003; v.593, no.2, pt.2, p.L117-L120. ISSN: 0004-637X

  8. Marcos, CD; Marcos, RD. On the nature of the proposed blob in the inner preplanetary disk of the Herbig Ae/Be star HD141569: evidence for a giant vortex? NEW ASTRONOMY; JUL 2003; v.8, no.5, p.401-414. ISSN: 1384-1092

  9. Hall, IM; Bassom, AP; Gilbert, AD. The effect of viscosity on the stability of planar vortices with fine structure. Quarterly Journal of Mechanics and Applied Mathematics; Nov. 2003; vol.56, pt.4, p.649-57. ISSN: 0033-5614

  10. Smith, SGL; Tobias, SM. Vortex dynamos. Journal of Fluid Mechanics; 10 Jan. 2004; vol.498, p.1-21. ISSN: 0022-1120

  11. Yecko, P.A. Accretion disk instability revisited Transient dynamics of rotating shear flow. Astronomy and Astrophysics 425 (2), pp. 385-393, 2004. ISSN: 0004-6361

  12. Bodenheimer, P. Planet formation in disks. ASTRONOMICAL SOCIETY OF THE PACIFIC CONFERENCE SERIES; 2004; v.323, p.329-336 Conference on Star Formation in the Interstellar Medium held in honor of David Hollenbach, Chris McKee and Frank Shu; June 30 - July 3, 2003; Lake Tahoe, CA Editor: Johnstone, D; Adams, FC; Lin, DNC; Neufeld, DA; Ostriker, EC. ISBN: 1-58381-185-0

  13. De Val Borro, M; Artymowicz, P. Instabilities and vorticity generation in protoplanetary disks. ASTRONOMICAL SOCIETY OF THE PACIFIC CONFERENCE SERIES; 2004; v.321, p.333-334 Conference: Conference on Extrasolar Planets - Today and Tomorrow held at the 19th IAP Colloqium; June 30 - July 4, 2003; Paris, FRANCE Editor: Beaulieu, JP; Des Etangs, AL; Terquem, C. ISBN: 1-58381-183-4

  14. Klahr, H; Bodenheimer, P. Tornados and hurricanes in planet formation. REVISTA MEXICANA DE ASTRONOMIA Y ASTROFISICA, SERIE DE CONFERENCIAS; 2004; p.87-90 Conference on Gravitational Collapse - From Massive Stars to Planets; December 8-12, 2003; Ensenada, MEXICO Editor: GarciaSegura, G; TenorioTagle, G; Yorke, JFH. ISSN: 1405-2059 ISBN: 970-32-1160-7

  15. Inaba, S; Barge, P; Daniel, E; Guillard, H. A two-phase code for protoplanetary disks. ASTRONOMY & ASTROPHYSICS, 431 (1): 365-379 FEB 2005. ISSN: 0004-6361

  16. Barranco, JA; Marcus, PS. Three-dimensional vortices in stratified protoplanetary disks. ASTROPHYSICAL JOURNAL, 623 (2): 1157-1170 Part 1 APR 20 2005. ISSN: 0004-637X

  17. Johnson, BM; Gammie, CF. Linear theory of thin, radially stratified disks. ASTROPHYSICAL JOURNAL; JUN 20 2005; v.626, no.2, pt.1, p.978-990. ISSN: 0004-637X

  18. Johnson, BM; Gammie, CF. Vortices in thin, compressible, unmagnetized disks. ASTROPHYSICAL JOURNAL, 635 (1): 149-156 Part 1 DEC 10 2005. ISSN: 0004-637X

  19. Tagger, M; Melia, F. A possible Rossby wave instability origin for the flares in Sagittarius A. ASTROPHYSICAL JOURNAL; JAN 1 2006; v.636, no.1, pt.2, p.L33-L36. ISSN: 0004-637X

  20. Varniere, P; Tagger, M. Reviving Dead Zones in accretion disks by Rossby vortices at their boundaries. ASTRONOMY & ASTROPHYSICS 446 (2): L13-L16 FEB 2006. ISSN: 0004-6361

  21. Klahr, H; Bodenheimer, P. Formation of giant planets by concurrent accretion of solids and gas inside an anticyclonic vortex. ASTROPHYSICAL JOURNAL 639 (1): 432-440 Part 1 MAR 1 2006. ISSN: 0004-637X

  22. Schecter, DA; Montgomery, MT. Conditions that inhibit the spontaneous radiation of spiral inertia-gravity waves from an intense mesoscale cyclone. JOURNAL OF THE ATMOSPHERIC SCIENCES 63 (2): 435-456 FEB 2006. ISSN: 0022-4928

  23. Masset, FS; Morbidelli, A; Crida, A; Ferreira, J. Disk surface density transitions as protoplanet traps. ASTROPHYSICAL JOURNAL 642 (1): 478-487 Part 1 MAY 1 2006. ISSN: 0004-637X

  24. Johansen, A; Henning, T; Klahr, H. Dust sedimentation and self-sustained Kelvin-Helmholtz turbulence in protoplanetary disk midplanes. ASTROPHYSICAL JOURNAL 643 (2): 1219-1232 Part 1 JUN 1 2006. ISSN: 0004-637X

  25. Cassen, P. Protostellar disks and planet formation. Source: SAAS-FEE ADVANCED COURSE; 2006; v.31, p.369-448 Conference: 31st Advance Course of the Swiss-Society-of-Astrophysics-and-Astronomy; April 2001; Les Diablerets, SWITZERLAND.

  26. Inaba, S; Barge, P. Dusty vortices in protoplanetary disks. ASTROPHYSICAL JOURNAL 649 (1): 415-427 Part 1 SEP 20 2006. ISSN: 0004-637X

  27. Ou, SL; Tohline, JE. Unexpected dynamical instabilities in differentially rotating neutron stars. ASTROPHYSICAL JOURNAL 651 (2): 1068-1078 Part 1 NOV 10 2006. ISSN: 0004-637X

  28. Shen, Yue; Stone, James M.; Gardiner, Thomas A. Three-dimensional compressible hydrodynamic simulations of vortices in disks. ASTROPHYSICAL JOURNAL 653 (1): 513-524 Part 1 DEC 10 2006. ISSN: 0004-637X

  29. Tagger, M; Varniere, P. Accretion-ejection instability, MHD Rossby wave instability, diskoseismology, and the high-frequency QPOs of microquasars. Astrophysical Journal; 1 Dec. 2006; vol.652, no.2, pt.1, p.1457-65. ISSN: 0004-637X

  30. Petersen, M.R., Stewart, G.R., Julien, K. Baroclinic vorticity production in protoplanetary disks. II. vortex-growth and longevity. (2007) Astrophysical Journal, 658 (2 I) pp. 1252-1263. ISSN: 0004-637X

  31. Wareing, CJ; Zijlstra, AA; O'Brien, TJ. Vortices in the wakes of asymptotic giant branch stars. ASTROPHYSICAL JOURNAL 660 (2): L129-L132 Part 2 MAY 10 2007. ISSN: 0004-637X

  32. De Val-Borro, M., Artymowicz, P., D'Angelo, G., Peplinski, A. Vortex generation in protoplanetary disks with an embedded giant planet. (2007) Astronomy and Astrophysics, 471 (3) pp. 1043-1055. ISSN: 0004-6361

  33. Lovelace, RVE; Romanova, MM. Three disk oscillation modes of rotating magnetized neutron stars. ASTROPHYSICAL JOURNAL 670 (1): L13-L16 Part 2 NOV 20 2007. ISSN: 0004-637X

  34. Regev, O. Hydrodynamical activity in thin accretion disks. (2007) New Astronomy Reviews, 51 (10-12) pp. 819-827. ISSN: 1387-6473

  35. Jin, LP; Arnett, WD; Sui, N; Wang, XM. An interpretation of the anomalously low mass of mars. ASTROPHYSICAL JOURNAL LETTERS 674 (2): L105-L108 FEB 20 2008. IDS Number: 291YW ISSN: 0004-637X

  36. Masset, F.S. Planet-disk interactions. (2008) EAS Publications Series, 29 pp. 165-244. ISSN: 1633-4760

  37. Lyra, W; Johansen, A; Klahr, H; Piskunov, N Embryos grown in the dead zone Assembling the first protoplanetary cores in low mass self-gravitating circumstellar disks of gas and solids ASTRONOMY & ASTROPHYSICS 491 (3): L41-L44 DEC 2008 ISSN: 0004-6361

  38. Mudryk, LR; Murray, NW. RAPID: A fast, high resolution, flux-conservative algorithm designed for planet-disk interactions. NEW ASTRONOMY 14 (1): 71-87 JAN 2009. ISSN: 1384-1076

  39. Lyra, W., Johansen, A., Klahr, H., Piskunov, N. Standing on the shoulders of giants Trojan Earths and vortex trapping in low mass self-gravitating protoplanetary disks of gas and solids (2009) Astronomy and Astrophysics, 493 (3) pp. 1125-1139. ISSN: 0004-6361

  40. Matsumura, S; Pudritz, RE; Thommes, EW THE GROWTH AND MIGRATION OF JOVIAN PLANETS IN EVOLVING PROTOSTELLAR DISKS WITH DEAD ZONES ASTROPHYSICAL JOURNAL 691 (2): 1764-1779 FEB 1 2009 ISSN: 0004-637X

  41. Lyra, W; Johansen, A; Zsom, A; Klahr, H; Piskunov, N Planet formation bursts at the borders of the dead zone in 2D numerical simulations of circumstellar disks ASTRONOMY & ASTROPHYSICS 497 (3): 869-888 APR 2009 ISSN: 0004-6361

  42. Lesur, G; Papaloizou, JCB On the stability of elliptical vortices in accretion discs ASTRONOMY & ASTROPHYSICS 498 (1): 1-12 APR 2009 ISSN: 0004-6361

  43. Mamatsashvili, GR; Rice, WKM Vortices in self-gravitating gaseous discs MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 394 (4): 2153-2163 APR 21 2009 ISSN: 0035-8711

  44. Shariff, K. Fluid mechanics in disks around young stars (2009) Annual Review of Fluid Mechanics, 41 pp. 283-315. ISSN: 0066-4189

  45. Lovelace, R.V.E., Turner, L., Romanova, M.M. Stability of the magnetopause of disk-accreting rotating stars (2009) Astrophysical Journal, 701 (1) pp. 225-235. ISSN: 0004-637X

  46. Rebusco, P; Umurhan, OM; Kluzniak, W; Regev, O Global transient dynamics of three-dimensional hydrodynamical disturbances in a thin viscous accretion disk PHYSICS OF FLUIDS 21 (7): Art. No. 076601 JUL 2009 ISSN: 1070-6631

  47. Yang, CC; Menou, K Rayleigh adjustment of narrow barriers in protoplanetary discs MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 402 (4): 2436-2440 MAR 2010 ISSN: 0035-8711

  48. Kato, MT; Fujimoto, M; Ida, S Dust concentration at the boundary between steady super/sub-keplerian flow created by inhomogeneous growth of magneto-rotational instability (2010) Astrophysical Journal, 714 (2) pp. 1155-1169. ISSN: 0004-637X

01b
R. Liska, B. Wendroff. Comparison of several difference schemes on 1D and 2D test problems for the Euler equations. Technical Report LA-UR-01-6225, Los Alamos National Laboratory, 2001. Conservation Laws Preprint Server, http://www.math.ntnu.no/conservation/2001/049.html, 2001.

  1. Alouges F, De Vuyst F, Le Coq G, Lorin, E. A process of reduction of the numerical diffusion of usual order one Flux Difference Schemes for nonlinear hyperbolic systems. COMPTES RENDUS MATHEMATIQUE; OCT 1 2002; v.335, no.7, p.627-632. ISSN: 1631-073X

  2. J.A. Greenough, W.J. Rider. A quantitative comparison of numerical methods for the compressible Euler equations: fifth-order WENO and piecewise-linear Godunov. Journal of Computational Physics, 2004, v. 196, p. 259-281. ISSN: 0021-9991

  3. Layton, AT; Minion, ML. Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics. JOURNAL OF COMPUTATIONAL PHYSICS; MAR 1 2004; v.194, no.2, p.697-715. ISSN: 0021-9991

  4. Loubere, R; Ovadia, J; Abgrall, R. A Lagrangian discontinuous Galerkin-type method on unstructured meshes to solve hydrodynamics problems. International Journal for Numerical Methods in Fluids; 28 Feb. 2004; vol.44, no.6, p.645-63. ISSN: 0271-2091

  5. Weber S, Maire PH, Loubere R, Riazuelo G, Michel P, Tikhonchuk V, Ovadia J. A transport simulation code for inertial confinement fusion relevant laser-plasma interaction. COMPUTER PHYSICS COMMUNICATIONS 168 (3): 141-158 JUN 15 2005. ISSN: 0010-4655

  6. Qu K, Shu C, Chew YT. Simulation of shock-wave propagation with finite volume lattice Boltzmann method. INTERNATIONAL JOURNAL OF MODERN PHYSICS C Volume: 18 Issue: 4 Pages: 447-454 Published: APR 2007. ISSN: 0129-1831

  7. Elizarova, TG; Bulatov, OV Numerical simulation of gas flows on the basis of quasi-hydrodynamic equations MOSCOW UNIVERSITY PHYSICS BULLETIN 64 (6): 589-593 DEC 2009 ISSN: 0027-1349

01c
R. Liska and B. Wendroff. Shallow water conservation laws on a sphere. In: H. Freistühler and G. Warnecke, Editors, International Series of Numerical Mathematics vol. 141, Birkhauser Verlag, Basel (2001), pp. 673-682.

  1. James A. Rossmanith. A wave propagation method for hyperbolic systems on the sphere. Journal of Computational Physics Volume 213, Issue 2 , 10 April 2006, Pages 629-658. ISSN: 0021-9991

02a
R. Liska and B. Wendroff.
Comparison of several difference schemes for the Euler equations in 1D and 2D. 2002. available at http://www-troja.fjfi.cvut.cz/liska/CompareEuler/compare8

  1. Mosedale A, Drikakis D. Assessment of very high order of accuracy in implicit LES models. JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME Volume: 129 Issue: 12 Pages: 1497-1503 Published: DEC 2007. ISSN: 0098-2202

  2. Tchekhovskoy, A., McKinney, J.C., Narayan, . Wham: A WENO-based general relativistic numerical scheme - I. Hydrodynamics. 2007 Monthly Notices of the Royal Astronomical Society, 379 (2) pp. 469-497. ISSN: 0035-8711

02b
R. Liska, M. Shashkov and B. Wendroff. Lagrangian Composite Schemes on Triangular Unstructured Grids, Technical report LAUR-02-7834, Los Alamos National Laboratory, 2002.

  1. Despres B, Mazeran C. Lagrangian gas dynamics in two dimensions and Lagrangian systems. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 178 (3): 327-372 DEC 2005. ISSN: 0003-9527

03
R. Liska and B. Wendroff.
Comparison of several difference schemes on 1D and 2D test problems for the Euler equations.
SIAM J. Scientific Computing,25(3):995-1017, 2003.

  1. Skandera D. 3D code for simulations of fluid flows. CZECHOSLOVAK JOURNAL OF PHYSICS 54: 59-64 Part 1-3 Suppl. C, 2004. ISSN: 0011-4626

  2. De Vuyst, F. Stable and accurate hybrid finite volume methods based on pure convexity arguments for hyperbolic systems of conservation law. JOURNAL OF COMPUTATIONAL PHYSICS; JAN 20 2004; v.193, no.2, p.426-468. ISSN: 0021-9991

  3. J.A. Greenough, W.J. Rider. A quantitative comparison of numerical methods for the compressible Euler equations: fifth-order WENO and piecewise-linear Godunov. Journal of Computational Physics, 2004, v. 196, p. 259-281. ISSN: 0021-9991

  4. J. Castor. Radiation Hydrodynamics. Cambridge University Press, 2004.

  5. Anita T. Layton. Conservative multi-implicit integral deferred correction methods with adaptive mesh refinement, Proceedings of the 12th Annual Conference of the CFD Society of Canada (2004).

  6. Skandera D. Numerical Modelling of the Origin and Evolution of Plasma Instabilities. Proceedings of Workshop 2005, 56-57, Czech Technical University in Prague, 2005.

  7. Skandera, D. Different strategies of the central approach to the numerical hydrodynamics. COMPUTER PHYSICS COMMUNICATIONS, 169 (1-3): 238-242 JUL 1 2005. ISSN: 0010-4655

  8. Gardiner, TA; Stone, JM. An unsplit Godunov method for ideal MHD via constrained transport. JOURNAL OF COMPUTATIONAL PHYSICS, 205 (2): 509-539 MAY 20 2005. ISSN: 0021-9991

  9. Helzel, C; Berger, MJ; Leveque, RJ. A high-resolution rotated grid method for conservation laws with embedded geometries. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 26 (3): 785-809 2005. ISSN: 1064-8275

  10. Ha, Y; Kim, YJ. Explicit solutions to a convection-reaction equation and defects of numerical schemes. JOURNAL OF COMPUTATIONAL PHYSICS 220 (1): 511-531 DEC 20 2006. ISSN: 0021-9991

  11. Berthon, C. Numerical approximations of the 10-moment Gaussian closure. MATHEMATICS OF COMPUTATION 75 (256): 1809-1831 2006. ISSN: 0025-5718

  12. Berthon, C. Why the MUSCL-Hancock scheme is L-1-stable. NUMERISCHE MATHEMATIK 104 (1): 27-46 JUL 2006. ISSN: 0029-599X

  13. Wareing, CJ; Zijlstra, AA; O'Brien, TJ. Vortices in the wakes of asymptotic giant branch stars. ASTROPHYSICAL JOURNAL 660 (2): L129-L132 Part 2 MAY 10 2007. ISSN: 0004-637X

  14. Saurel, R., Franquet, E., Daniel, E., Le Metayer, . A relaxation-projection method for compressible flows. Part I: The numerical equation of state for the Euler equations. 2007 Journal of Computational Physics,223 (2) pp. 822-845. ISSN: 0021-9991

  15. Tchekhovskoy, A., McKinney, J.C., Narayan, . Wham: A WENO-based general relativistic numerical scheme - I. Hydrodynamics. 2007 Monthly Notices of the Royal Astronomical Society, 379 (2) pp. 469-497. ISSN: 0035-8711

  16. Ducasse, O., Papageorghiou, L., Eichwald, O., Spyrou, N., Yousfi, M. Critical analysis on two-dimensional point-to-plane streamer simulations using the finite element and finite volume methods. 2007 IEEE Transactions on Plasma Science, 35 (5 I) pp. 1287-1300. ISSN: 0093-3813

  17. Kurganov, A; Lin, CT. On the reduction of numerical dissipation in central-upwind schemes. COMMUNICATIONS IN COMPUTATIONAL PHYSICS; FEB 2007; v.2, no.1, p.141-163. ISSN: 1815-2406

  18. Qurrat-Ul-Ain, Qamar, S., Warnecke, A high-resolution space-time conservative method for non-linear hyperbolic conservation laws. 2007 International Journal of Computational Methods, 4 (2) pp. 223-247.

  19. Christov, I., Popov, B. New non-oscillatory central schemes on unstructured triangulations for hyperbolic systems of conservation laws. (2008) Journal of Computational Physics, 227 (11) pp. 5736-5757. ISSN: 0021-9991

  20. Kadioglu, SY; Klein, R; Minion, ML. A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics. JOURNAL OF COMPUTATIONAL PHYSICS 227 (3): 2012-2043 JAN 10 2008. ISSN: 0021-9991

  21. Thornber, B., Mosedale, A., Drikakis, D., Youngs, D.,Williams, R.J.R. An improved reconstruction method for compressible flows with low Mach number features. Journal of Computational Physics, 227 (10) pp. 4873-4894. 2008. ISSN: 0021-9991

  22. Murphy, J.W., Burrows, A. BETHE-hydro: An arbitrary Lagrangian-Eulerian multidimensional hydrodynamics code for astrophysical simulations. (2008) Astrophysical Journal, Supplement Series, 179 (1) pp. 209-241. ISSN: 0067-0049

  23. Alouges, F., De Vuyst, F., Le Coq, G., Lorin, E. The reservoir technique: a way to make Godunov-type schemes zero or very low diffuse. Application to Colella-Glaz solver. (2008) European Journal of Mechanics, B/Fluids, 27 (6) pp. 643-664. ISSN: 0997-7546

  24. Ha, Y. Comparison between the positive schemes and WENO for high Mach jets in 1D 2007 Communications of the Korean Mathematical Society, 22 (4) pp. 609-621.0 ISSN: 1225-1763

  25. Thornber, Ben Implicit large eddy simulation for unsteady multi-component compressible turbulent flows, Supervisor: Drikakis, Dimitris PhD Thesis, Cranfield University, 2007.

  26. Siklosi, Malin Aspects of viscous shocks PhD Thesis, KTH, Stockholm, 2004.

  27. Jean-Philippe Braeunig Sur la simulation d'écoulements multi-matériaux par une méthode eulérienne directe avec capture d'interfaces en dimensions 1, 2 et 3 A pure eulerian method with interface capturing for multi-material fluid flows in dimension 1, 2 and 3 PhD Thesis, Ecole Normale Supérieure de CACHAN, 2007

  28. Elizarova, TG; Shil'nikov, EV Capabilities of a quasi-gasdynamic algorithm as applied to inviscid gas flow simulation COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 49 (3): 532-548 MAR 2009 ISSN: 0965-5425

  29. Cada, M., Torrilhon, M. Compact third-order limiter functions for finite volume methods 2009 Journal of Computational Physics, 228 (11) pp. 4118-4145 ISSN: 0218-2025

  30. Popov, I.V., Fryazinov, I.V. Finite difference method for two-dimensional equations of gas dynamics using artificial viscosity 2009 Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 5434 LNCS pp. 469-475.0 ISSN: 0302-9743

  31. Johnsen, E., Larsson, J., Bhagatwala, A.V., Cabot, W.H., Moin, P., Olson, B.J., Rawat, P.S., Shankar, S.K., Sjoegreen, B., Yee, H.C., Zhong, X., Lele, S.K. Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves 2010 Journal of Computational Physics, 229 (4) pp. 1213-1237 ISSN: 0218-2025

  32. van Dam, A.; Zegeling, P. A. Balanced Monitoring of Flow Phenomena in Moving Mesh Methods COMMUNICATIONS IN COMPUTATIONAL PHYSICS 7 (1): 138-170 JAN 2010 ISSN: 1815-2406

  33. Springel, V. E pur si muove: Galilean-invariant cosmological hydrodynamical simulations on a moving mesh 2010 Monthly Notices of the Royal Astronomical Society, 401 (2) pp. 791-851 ISSN: 0035-8711

  34. Elizarova, TG; Bulatov, OV Numerical simulation of gas flows on the basis of quasi-hydrodynamic equations MOSCOW UNIVERSITY PHYSICS BULLETIN 64 (6): 589-593 DEC 2009 ISSN: 0027-1349

  35. Stone JM, Gardiner TA, Teuben P, et al. ATHENA: A NEW CODE FOR ASTROPHYSICAL MHD ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES Volume: 178 Issue: 1 Pages: 137-177, SEP 2008 ISSN: 0067-0049

  36. Kim H, Laforest M, Yoon D AN ADAPTIVE VERSION OF GLIMM'S SCHEME Dedicated to Professor James Glimm on the occasion of his 75th birthday ACTA MATHEMATICA SCIENTIA Volume: 30 Issue: 2 Pages: 428-446 Published: MAR 2010 ISSN: 0252-9602

  37. Kamm, J.R., Shashkov, M.J. A pressure relaxation closure model for one-dimensional, two-material Lagrangian hydrodynamics based on the Riemann problem (2010) Communications in Computational Physics, 7 (5) pp. 927-976. ISSN: 1815-2406

  38. Sutherland, RS A new computational fluid dynamics code I: Fyris Alpha ASTROPHYSICS AND SPACE SCIENCE 327 (2): 173-206 JUN 2010 ISSN: 0004-640X

04a
Liska R., Shashkov M., Ganzha V. Analysis and optimization of inner products for mimetic finite difference methods on a triangular grid. (2004) Mathematics and Computers in Simulation, 67 (1-2), pp. 55-66

  1. Brezzi, F., Lipnikov, K., Simoncini, V. A family of mimetic finite difference methods on polygonal and polyhedral meshes. Mathematical Models and Methods in Applied Sciences 15 (10), pp.1533-1551, 2005. ISSN: 0218-2025

  2. Breil, J., Maire, P.-H. A cell-centered diffusion scheme on two-dimensional unstructured meshes. (2007) Journal of Computational Physics, 224 (2) pp. 785-823. ISSN: 0021-9991

  3. Beirao Da Veiga, L. A residual based error estimator for the Mimetic Finite Difference method. (2008) Numerische Mathematik, 108 (3) pp. 387-406. ISSN: 0029-599X

  4. Cangiani, A; Manzini, G. Flux reconstruction and solution post-processing in mimetic finite difference methods. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 197 (9-12): 933-945 2008. ISSN: 0045-7825

04b
M. Kucharík, R. Liska, J. Limpouch, and P. Váchal.
ALE simulations of high-velocity impact problem.
Czechoslovak Journal of Physics, 54, C391-C396, (2004).

  1. Iizuka, Y; Kawata, S; Kodera, T; Ogoyski, AI; Kikuchi, T Study on target structure for direct-indirect hybrid implosion mode in heavy ion inertial fusion NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT 606 (1-2): 165-168 JUL 11 2009 ISSN: 0168-9002

04c
V. Ganzha, R. Liska, M. Shashkov, and C. Zenger.
Mimetic finite difference methods for diffusion equations on unstructured triangular grid.
In M. Feistauer, V. Dolejší, P. Knobloch, K. Najzar editors Proceedings of Enumath 2003, pages 368-377, Springer-Verlag, 2004.

  1. Arraras, A; Portero, L; Jorge, JC Convergence of fractional step mimetic finite difference discretization for semilinear parabolic problems APPLIED NUMERICAL MATHEMATICS 60 (4): 473-485 Sp. Iss. SI APR 2010 ISSN 0168-9274

05
H. Li, S.T. Li, J. Koller, B.B. Wendroff, R. Liska, C.M. Orban, E.P.T. Liang, and D.N.C. Lin.
Potential vorticity evolution of a protoplanetary disk with an embedded protoplanet.
Astrophysical Journal, 624(2), 1003-1009, (2005).

  1. Daisaka, JK; Tanaka, H; Ida, S. Orbital evolution and accretion of protoplanets tidally interacting with a gas disk - II. Solid surface density evolution with type-I migration. ICARUS 185 (2): 492-507 DEC 2006. ISSN: 0019-1035

  2. De Val-Borro, M., Artymowicz, P., D'Angelo, G., Peplinski, A. Vortex generation in protoplanetary disks with an embedded giant planet. (2007) Astronomy and Astrophysics, 471 (3) pp. 1043-1055. ISSN: 0004-6361

  3. Ou, SL; Ji, JH; Liu, L; Peng, XM. Disk-planet interaction simulations. I. Baroclinic generation of vortensity and nonaxisymmetric rossby wave instability. ASTROPHYSICAL JOURNAL 667 (2): 1220-1228 Part 1 OCT 1 2007. ISSN: 0004-637X

  4. Petersen, M.R., Julien, K., Stewart, G.R. Baroclinic vorticity production in protoplanetary disks. I. vortex formation. (2007) Astrophysical Journal, 658 (2 I) pp. 1236-1251. ISSN: 0004-637X

  5. Ji, J., Ou, S., Liu, L. Baroclinic generation of potential vorticity in an embedded planet-disk system. (2007) Proceedings of the International Astronomical Union, 3 (S249) pp. 407-412. ISSN: 1743-9213

  6. D'Angelo, G; Lubow, SH. Evolution of migrating planets undergoing gas accretion. ASTROPHYSICAL JOURNAL 685 (1): 560-583 SEP 20 2008. ISSN: 0004-637X

  7. Paardekooper, S.-J., Baruteau, C., Crida, A., Kley, W. A torque formula for non-isothermal type i planetary migration - I. Unsaturated horseshoe drag 2010 Monthly Notices of the Royal Astronomical Society 401 (3), pp. 1950-1964 ISSN: 0035-8711

08
Liska R. and Shashkov M. Enforcing the discrete maximum principle for linear finite element solutions of second-order elliptic problems. COMMUNICATIONS IN COMPUTATIONAL PHYSICS Volume: 3 Issue: 4 Pages: 852-877 Published: APR 2008. ISSN: 1815-2406

  1. Yuan GW, Sheng ZQ. Monotone finite volume schemes for diffusion equations on polygonal meshes. JOURNAL OF COMPUTATIONAL PHYSICS Volume: 227 Issue: 12 Pages: 6288-6312 Published: JUN 1 2008. ISSN: 0021-9991

  2. Korotov, S; Krizek, M; Solc, J On a Discrete Maximum Principle for Linear FE Solutions of Elliptic Problems with a Nondiagonal Coefficient Matrix NUMERICAL ANALYSIS AND ITS APPLICATIONS 5434: 384-391 2009 ISSN: 0302-9743

  3. Darwish, M; Moukalled, F A Compact Procedure for Discretization of the Anisotropic Diffusion Operator NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS 55 (5): 339-360 2009 ISSN: 1040-7790

  4. Karatson, J; Korotov, S AN ALGEBRAIC DISCRETE MAXIMUM PRINCIPLE IN HILBERT SPACE WITH APPLICATIONS TO NONLINEAR COOPERATIVE ELLIPTIC SYSTEMS SIAM JOURNAL ON NUMERICAL ANALYSIS 47 (4): 2518-2549 2009 ISSN: 0036-1429

  5. Sheng ZQ, Yue JY, Yuan GW MONOTONE FINITE VOLUME SCHEMES OF NONEQUILIBRIUM RADIATION DIFFUSION EQUATIONS ON DISTORTED MESHES SIAM JOURNAL ON SCIENTIFIC COMPUTING 31 (4): 2915-2934 2009 ISSN: 1064-8275

  6. Nakshatrala, K.B., Valocchi, A.J. Non-negative mixed finite element formulations for a tensorial diffusion equation (2009) Journal of Computational Physics, 228 (18) pp. 6726-6752. ISSN: 0021-9991

  7. Yuan, G., Hang, X., Sheng, Z., Yue, J. Progress in numerical methods for radiation diffusion equations (2009) Jisuan Wuli/Chinese Journal of Computational Physics, 26 (4) pp. 475-500. ISSN: 1001-246X

  8. Evans, J.A., Hughes, T.J.R., Sangalli, G. Enforcement of constraints and maximum principles in the variational multiscale method (2009) Computer Methods in Applied Mechanics and Engineering, 199 (1-4) pp. 61-76. ISSN: 0045-7825

  9. Lipnikov, K., Svyatskiy, D., Vassilevski, Y. A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes (2010) Journal of Computational Physics, 229 (11) pp. 4017-4032. ISSN: 0021-9991

Souhrnná tabulka - počet citací

citace v časopisech v knihách ve sbornících celkem
  a dizertacích    
84 2 1   3
87 2     2
89 1     1
90a 5 1 2 8
90b 3   2 5
91a 4     4
91b 2     2
92a 6   1 7
92b 2     2
93a 5 1 6 12
93b 2     2
94a 1     1
94b 1 1   2
94c 3     3
94d 2     2
95a 10   1 11
95b 1     1
95c 1     1
95d 1     1
95e 1     1
96a 13 1 13 27
96b 1     1
96c 1   2 3
96d 2     2
97a 21 4 19 44
97b 5 1 1 7
97c 1     1
97d 2     2
98a 30 2 11 43
98b 1   1 2
98c 1     1
98d 1     1
99a 26 2 8 36
99b 1     1
99c 1 1 1 3
00 2     2
01a 44   4 48
01b 7     7
01c 1     1
02a 2     2
02b 1     1
03 31 4 3 38
04a 4     4
04b 1     1
04c 1     1
05 7     7
08 8   1 9
celkem 271 19 76 366
       

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