Citations

H-index according to Web of Science: 9

Currently over 500 citations (autocitations excluded) in international literature out of which almost 400 are 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 2008. 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

  8. Li J, Zhao B, Li H, Zheng JA Study of flux limiter using Fokker-Planck and fluid simulations of planar laser-driven ablation PLASMA PHYSICS AND CONTROLLED FUSION Volume: 52 Issue: 8 Article Number: 085008 Published: AUG 2010 ISSN: 0741-3335

  9. Thomas, A.G.R., Tzoufras, M., Robinson, A.P.L., Kingham, R.J., Ridgers, C.P., Sherlock, M., Bell, A.R. A review of Vlasov-Fokker-Planck numerical modeling of inertial confinement fusion plasma (2012) Journal of Computational Physics, 231 (3) pp. 1051-1079. ISSN: 0021-9991

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

  13. Hong, H; El Din, MS Variant quantifier elimination JOURNAL OF SYMBOLIC COMPUTATION, 47 (7):883-901; SI 10.1016/j.jsc.2011.05.014 JUL 2012 ISSN: 0747-7171

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

  2. Wallerberger, M; Igenbergs, K; Schweinzer, J; Aumayr, F Fast computation of close-coupling exchange integrals using polynomials in a tree representation COMPUTER PHYSICS COMMUNICATIONS 182 (3): 775-778 MAR 2011 ISSN: 0010-4655

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

  4. Thomas, A.G.R., Tzoufras, M., Robinson, A.P.L., Kingham, R.J., Ridgers, C.P., Sherlock, M., Bell, A.R. A review of Vlasov-Fokker-Planck numerical modeling of inertial confinement fusion plasma (2012) Journal of Computational Physics, 231 (3) pp. 1051-1079. 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

  12. Choi, W; Goullet, A; Jo, TC An iterative method to solve a regularized model for strongly nonlinear long internal waves JOURNAL OF COMPUTATIONAL PHYSICS 230 (5): 2021-2030 MAR 1 2011 ISSN: 0021-9991

  13. Esler JG, Pearce JD Dispersive dam-break and lock-exchange flows in a two-layer fluid JOURNAL OF FLUID MECHANICS Volume: 667 Pages: 555-585 Published: JAN 25 2011 ISSN: 0022-1120

  14. Boonkasame, A; Milewski, P The Stability of Large-Amplitude Shallow Interfacial Non-Boussinesq Flows STUDIES IN APPLIED MATHEMATICS, 128 (1):40-58; 10.1111/j.1467-9590.2011.00528.x JAN 2012 ISSN: 0022-2526

  15. Stewart, AL; Dellar, PJ Multilayer shallow water equations with complete Coriolis force. Part 3. Hyperbolicity and stability under shear JOURNAL OF FLUID MECHANICS, 723 289-317; 10.1017/jfm.2013.121 MAY 2013 ISSN: 0022-1120

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

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96b
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96c
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96d
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97a
Hong H., Liska R., Steinberg S. Testing Stability by Quantifier Elimination. Journal of Symbolic Computation , V. 24(#2) pp. 161-187 Aug 1997.
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R. Liska and B. Wendroff. Composite schemes for conservation laws.
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98b
L. Kocbach and R. Liska. Generation and verification of algorithms for symbolic-numeric processing.
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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.

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99a
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99b
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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/

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01b
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01c
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02a
R. Liska and B. Wendroff.
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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.

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03
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  51. Popov, I.V., Fryazinov,I.V. Method of adaptive artificial viscosity 2011 Physics of Particles and Nuclei Letters, 8 (5) pp. 487-490.0

  52. Cayzac, R; Carette, E; de Roquefort, TA; Renard, FX; Roux, D; Balbo, P; Patry, JN Computational Fluid Dynamics and Experimental Validations of the Direct Coupling Between Interior, Intermediate and Exterior Ballistics Using the Euler Equations JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME 78 (6):, art. no. 061006 10.1115/1.4003812 NOV 2011 ISSN: 0021-8936

  53. Liu, Q., Xu, X., Wu, J. An adaptive explicit time integration algorithm for hydrodynamic equations and application in ICF (2011) Jisuan Wuli/Chinese Journal of Computational Physics, 28 (2) pp. 174-180.

  54. Mikhailovskaya, M.N., Rogov, B.V. Monotone compact running schemes for systems of hyperbolic equations (2012) Computational Mathematics and Mathematical Physics, 52 (4) pp. 578-600. ISSN 0965-5425

  55. Dehnen, W., Aly, H. Improving convergence in smoothed particle hydrodynamics simulations without pairing instability 2012 Monthly Notices of the Royal Astronomical Society , 425 ( 2 ) pp. 1068 - 1082 .10.1111/j.1365-2966.2012.21439.x ISSN: 0035-8711

  56. Eichwald, O., Bensaad, H., Ducasse, O., Yousfi, M. Effects of numerical and physical anisotropic diffusion on branching phenomena of negative-streamer dynamics 2012 Journal of Physics D: Applied Physics, 45 ( 38 ) , art. no. 3852030 ISSN: 0022-3727

  57. Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan From suitable weak solutions to entropy viscosity Book Editor(s): Salvetti, MV; Geurts, B; Meyers, J; et al. 2nd Workshop on Quality and Reliability of Large-Eddy Simulations Univ Pisa, Pisa, ITALY Date: SEP 09-11, 2009 QUALITY AND RELIABILITY OF LARGE-EDDY SIMULATIONS II Book Series: ERCOFTAC Series Volume: 16 Pages: 373-390 DOI: 10.1007/978-94-007-0231-8_34 Published: 2011 ISSN: 1382-4309 ISBN: 978-94-007-0231-8

  58. Jung, Y.G., Chang, K.S. Shock focusing flow field simulated by a high-resolution numerical algorithm, 2012 Shock Waves , 22 ( 6 ) pp. 641 - 645. ISSN: 0938-1287

  59. Saurel, R; Huber, G; Jourdan, G; Lapebie, E; Munier, L Modelling spherical explosions with turbulent mixing and post-detonation PHYSICS OF FLUIDS, 24 (11) Article Number: 115101:10.1063/1.4761835 NOV 2012 ISSN: 1070-6631

  60. Zingan, V., Guermond, J.-L., Morel, J., Popov, B. Implementation of the entropy viscosity method with the discontinuous Galerkin method (2013) Computer Methods in Applied Mechanics and Engineering, 253 pp. 479-490. ISSN: 0045-7825

  61. Nazarov, M., Hoffman, J. Residual-based artificial viscosity for simulation of turbulent compressible flow using adaptive finite element methods 2013 International Journal for Numerical Methods in Fluids, 71 ( 3 ) pp. 339 - 357 . 0 ISSN: 0271-2091

  62. Happenhofer, N.,Grimm-Strele, H., Kupka, F., Loew-Baselli, B., Muthsam, H. A low Mach number solver: Enhancing applicability 2013 Journal of Computational Physics, 236 ( 1 ) pp. 96 - 118. ISSN: 0021-9991

  63. Munoz, D.J., Springel, V., Marcus, R., Vogelsberger, M., Hernquist, L. Multidimensional, compressible viscous flow on a moving Voronoi mesh 2013 Monthly Notices of the Royal Astronomical Society , 428 ( 1 ) pp. 254 - 279 . ISSN: 0035-8711

  64. Saurel, R., Huber, G., Jourdan, G., Lapebie, E., Munier, L. Modelling spherical explosions with turbulent mixing and post-detonation 2012 Physics of Fluids , 24 ( 11 ) , art. no. 115101 ISSN: 1070-6631

  65. Reisner, J., Serencsa, J., Shkoller, S. A space-time smooth artificial viscosity method for nonlinear conservation laws 2013 Journal of Computational Physics, 235 pp. 912 - 933 ISSN: 0021-9991

  66. Ahmad, N.N., Proctor, F.H. The high-resolution wave-propagation method applied to meso- and micro-scale flows 2012 50th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition , art. no. AIAA 2012-04300

  67. Sawai, H., Yamada, S., Kotake, K., Suzuki, H. Effects of resistivity on magnetized core-collapse supernovae 2013 Astrophysical Journal, 764 ( 1 ) , art. no. 10 ISSN: 0004-637X

  68. Tuttafesta, M., Colonna, G., Pascazio, G. Computing unsteady compressible flows using Roe's flux-difference splitting scheme on GPUs 2013 Computer Physics Communications, 184 ( 6 ) pp. 1497 - 1510 . 0 ISSN: 0010-4655

  69. Stone, J. M. ; Lemaster, M. N. RECENT APPLICATIONS USING ATHENA Editor(s): Esquivel, A ; Franco, J ; GarciaSegura, G ; et al. 2nd Conference on Magnetic Fields in the Universe - From Laboratory and Stars to Primordial Structures Location: Cozumel, MEXICO Date: JAN 28-FEB 01, 2008 MAGNETIC FIELDS IN THE UNIVERSE II: FROM LABORATORY AND STARS TO THE PRIMORDIAL UNIVERSE Book Series: Revista Mexicana de Astronomia y Astrofisica-Serie de Conferencias Volume: 36 Pages: 31-36 Published: 2009 ISSN: 1405-2059 ISBN: 978-607-02-0792-1

  70. Islam, T.Z., Mohror, K., Bagchi, S., Moody, A., De Supinski, B.R., Eigenmann, R. MCREngine: A scalable checkpointing system using data-aware aggregation and compression 2012 International Conference for High Performance Computing, Networking, Storage and Analysis, SC , art. no. 64684620 ISSN: 2167-4329 ISBN: 978-1-4673-0805-2

  71. Sriskantha, H., Ruffert, M. A partially dimensionally-split approach to numerical MHD 2013 Monthly Notices of the Royal Astronomical Society , 432 ( 3 ) pp. 2579 - 2590 . 0

  72. Rybakin, B. P. Modeling of III-D problems of gas dynamics on multiprocessing computers and GPU COMPUTERS & FLUIDS Volume: 80 Special Issue: SI Pages: 403-407 DOI: 10.1016/j.compfluid.2012.01.016 Published: JUL 10 2013 ISSN: 0045-7930

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

  5. Robidoux, N., Steinberg, S. A discrete vector calculus in tensor grids (2011) Computational Methods in Applied Mathematics, 11 (1) pp. 23-66. ISSN: 1609-4840

  6. Antonietti, P.F., Bigoni, N., Verani, M. Mimetic discretizations of elliptic control problems (2013) Journal of Scientific Computing, 56 (1) pp. 14-27. ISSN: 0885-7474

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. Dolej¹í, 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

  8. Lin, MK; Papaloizou, JCB Type III migration in a low-viscosity disc MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 405 (3): 1473-1490 JUL 1 2010 ISSN: 0035-8711

  9. Lin, M.-K., Papaloizou, J.C.B. Edge modes in self-gravitating disc-planet interactions (2011) Monthly Notices of the Royal Astronomical Society, 415 (2) pp. 1445-1468. ISSN: 0035-8711

  10. Lin, M.-K., Papaloizou, J.C.B. The effect of self-gravity on vortex instabilities in disc-planet interactions (2011) Monthly Notices of the Royal Astronomical Society, 415 (2) pp. 1426-1444. ISSN: 0035-8711

  11. Dong, R., Rafikov, R.R., Stone, J.M. Density waves excited by low-mass planets in protoplanetary disks. II. high-resolution simulations of the nonlinear regime (2011) Astrophysical Journal, 741 (1), art. no. 57 ISSN: 0004-637X

  12. Mueller, T. W. A.; Kley, W.; Meru, F. Treating gravity in thin-disk simulations ASTRONOMY & ASTROPHYSICS, 541 10.1051/0004-6361/201118737 MAY 2012 ISSN: 0004-6361

  13. Lin, M.-K. Rossby wave instability in locally isothermal and polytropic disks: Three-dimensional linear calculations (2012) Astrophysical Journal, 754 (1), art. no. 21 ISSN: 0004-637X

  14. Kley, W., Müller, T.W.A., Kolb, S.M., Benítez-Llambay, P., Masset, F. Low-mass planets in nearly inviscid disks: Numerical treatment (2012) Astronomy and Astrophysics, 546, art. no. A99, 10.1051/0004-6361/201219719 ISSN: 0004-6361

  15. Lin, M.-K. Vortex and spiral instabilities at gap edges in three-dimensional self-gravitating disc-satellite simulations (2012) Monthly Notices of the Royal Astronomical Society, 426 (4) pp. 3211-3224. ISSN: 0035-8711

  16. Pierens, A., Baruteau, C., Hersant, F. Protoplanetary migration in non-isothermal discs with turbulence driven by stochastic forcing (2012) Monthly Notices of the Royal Astronomical Society, 427 (2) pp. 1562-1573. ISSN: 0035-8711

  17. Lin, M.-K. Instabilities at planetary gap edges in 3D self-gravitating disks (2013) EPJ Web of Conferences, 46, art. no. 07001 ISSN: 2100-014X

  18. Ataiee, S., Pinilla, P., Zsom, A., Dullemond, C.P., Dominik, C., Ghanbari, J. Asymmetric transition disks: Vorticity or eccentricity? (2013) Astronomy and Astrophysics, 553, art. no. L3 ISSN: 0004-6361

  19. Cloutier, R., Lin, M.-K. Orbital migration of giant planets induced by gravitationally unstable gaps: The effect of planet mass (2013) Monthly Notices of the Royal Astronomical Society, 434 (1) pp. 621-632. ISSN: 0035-8711

06a
Vachal P. and Liska R. Sequential flux-corrected remapping for ALE methods In DeCastro AB; Gomez D; Quintela P; Salgado P (editors), Numerical Mathematics and Advanced Applications Pages: 671-679 Published: 2006 SPRINGER-VERLAG BERLIN, ISBN: 3-540-34287-7

  1. Kuzmin D, Moller M, Shadid JN, et al. Failsafe flux limiting and constrained data projections for equations of gas dynamics JOURNAL OF COMPUTATIONAL PHYSICS Volume: 229 Issue: 23 Pages: 8766-8779 Published: NOV 20 2010 ISSN: 0021-9991

  2. Ortega, AL; Scovazzi, G A geometrically-conservative, synchronized, flux-corrected remap for arbitrary Lagrangian-Eulerian computations with nodal finite elements JOURNAL OF COMPUTATIONAL PHYSICS 230 (17): 6709-6741, 2011 ISSN: 0021-9991

06b
M. Kucharík, J. Limpouch, and R. Liska. Laser plasma simulations by arbitrary Lagrangian Eulerian method. J. de Physique IV, 133, 167-169, 2006.

  1. Sollie, WEH; Bokhove, O; van der Vegt, JJW Space-time discontinuous Galerkin finite element method for two-fluid flows JOURNAL OF COMPUTATIONAL PHYSICS 230 (3): 789-817 FEB 1 2011 ISSN: 0021-9991

06c
M. Kucharík,R. Liska, S. Steinberg, and B. Wendroff. Optimally-stable second-order accurate difference schemes for nonlinear conservation laws in 3D. Applied Numerical Mathematics, 56(5), 589-607, (2006).

  1. Keane, T. Combat modelling with partial differential equations (2011) Applied Mathematical Modelling, 35 (6) pp. 2723-2735. ISSN: 0307-904X

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

  10. Nikitin, K., Vassilevski, Y. A monotone nonlinear finite volume method for advectiondiffusion equations on unstructured polyhedral meshes in 3D (2010) Russian Journal of Numerical Analysis and Mathematical Modelling, 25 (4) pp. 335-358. ISSN: 0927-6467

  11. Li, X., Huang, W. An anisotropic mesh adaptation method for the finite element solution of heterogeneous anisotropic diffusion problems (2010) Journal of Computational Physics, 229 (21) pp. 8072-8094. ISSN: 0021-9991

  12. Sheng, Z., Yuan, G. The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes (2011) Journal of Computational Physics, 230 (7) pp. 2588-2604. ISSN: 0021-9991

  13. Lipnikov, K., Manzini, G., Svyatskiy, D. Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems (2011) Journal of Computational Physics, 230 (7) pp. 2620-2642. ISSN: 0021-9991

  14. Nagarajan, H., Nakshatrala, K.B. Enforcing the non-negativity constraint and maximum principles for diffusion with decay on general computational grids (2011) International Journal for Numerical Methods in Fluids, 67 (7) pp. 820-847. ISSN: 0271-2091

  15. Huang, WZ Discrete Maximum Principle and a Delaunay-Type Mesh Condition for Linear Finite Element Approximations of Two-Dimensional Anisotropic Diffusion Problems NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 4 (3):319-334; 10.4208/nmtma.2011.m1024 AUG 2011 ISSN: 1004-8979

  16. Burdakov, O., Kapyrin, I., Vassilevski, Y. Monotonicity recovering and accuracy preserving optimization methods for postprocessing finite element solutions (2012) Journal of Computational Physics, 231 (8) pp. 3126-3142. ISSN: 0021-9991

  17. Mudunuru, M.K., Nakshatrala, K.B. A framework for coupled deformation-diffusion analysis with application to degradation/healing (2012) International Journal for Numerical Methods in Engineering, 89 (9) pp. 1144-1170. ISSN: 0029-5981

  18. Sheng, Z., Yuan, G. An improved monotone finite volume scheme for diffusion equation on polygonal meshes (2012) Journal of Computational Physics, 231 (9) pp. 3739-3754. ISSN: 0021-9991

  19. Turner, D.Z., Nakshatrala, K.B., Martinez, M.J., Notz, P.K. Modeling subsurface water resource systems involving heterogeneous porous media using the variational multiscale formulation (2012) Journal of Hydrology, 428-429 pp. 1-14. ISSN 0022-1694

  20. Yao, Y., Yuan, G. Enforcing positivity with conservation for nine-point scheme of nonlinear diffusion equations (2012) Computer Methods in Applied Mechanics and Engineering, 223-224 pp. 161-172. ISSN: 0045-7825

  21. Wang, S., Yuan, G., Li, Y., Sheng, Z. A monotone finite volume scheme for advection-diffusion equations on distorted meshes (2012) International Journal for Numerical Methods in Fluids, 69 (7) pp. 1283-1298. ISSN: 0271-2091

  22. Payette, G.S., Nakshatrala, K.B., Reddy, J.N. On the performance of high-order finite elements with respect to maximum principles and the nonnegative constraint for diffusion-type equations (2012) International Journal for Numerical Methods in Engineering, 91 (7) pp. 742-771. ISSN: 0045-7825

  23. Wang, S., Yuan, G., Li, Y., Sheng, Z. Discrete maximum principle based on repair technique for diamond type scheme of diffusion problems (2012) International Journal for Numerical Methods in Fluids, 70 (9) pp. 1188-1205. ISSN: 0271-2091

  24. Lipnikov, K.; Svyatskiy, D.; Vassilevski, Yu. Minimal stencil finite volume scheme with the discrete maximum principle RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, Volume: 27 Issue: 4 Pages: 369-385 DOI: 10.1515/rnam-2012-0020 Published: 2012 ISSN: 0927-6467

  25. Lu, C., Huang, W., Van Vleck, E.S. The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and Lubrication-type equations (2013) Journal of Computational Physics, 242 pp. 24-36. ISSN: 0021-9991

  26. Gao, Z., Wu, J. A small stencil and extremum-preserving scheme for anisotropic diffusion problems on arbitrary 2D and 3D meshes (2013) Journal of Computational Physics, 250 pp. 308-331. ISSN: 0021-9991

  27. Arico C., Tucciarelli, T. Monotonic solution of heterogeneous anisotropic diffusion problems (2013) Journal of Computational Physics, 252 pp. 219-249. ISSN: 0021-9991

  28. Nakshatrala, K.B., Mudunuru, M.K., Valocchi, A.J. A numerical framework for diffusion-controlled bimolecular-reactive systems to enforce maximum principles and the non-negative constraint (2013) Journal of Computational Physics, 253 pp. 278-307. ISSN: 0021-9991

09
Renner, O., Liska, R., Rosmej, F.B. Laser-produced plasma-wall interaction (2009) Laser and Particle Beams, 27 (4), pp. 725-731. Cited 3 times.

  1. Stancalie, V. Investigation of dominant states for dielectronic recombination in short-pulse laser-produced aluminum plasma (2013) Laser and Particle Beams, 31 (1) pp. 1-8. ISSN: 0263-0346

10
R. Liska, M. Shashkov, P. Váchal, and B. Wendroff. Optimization-based synchronized flux-corrected conservative interpolation (remapping) of mass and momentum for arbitrary Lagrangian-Eulerian methods. J. Comput. Phys., 229(5), 1467-1497, 2010.

  1. Hill, RN; Szmelter, J A multidimensional positive definite remapping algorithm for arbitrary Lagrangian-Eulerian methods INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 65 (11-12): 1338-1350 2011. ISSN 0271-2091

  2. Lopez Ortega, A., Scovazzi, G. A geometrically-conservative, synchronized, flux-corrected remap for arbitrary Lagrangian-Eulerian computations with nodal finite elements (2011) Journal of Computational Physics, 230 (17) pp. 6709-6741. ISSN: 00219991

  3. Ridzal, D., Young, J., Bochev, P., Peterson, K. Optimization-based modeling with applications to transport: Part 3. Computational studies (2012) Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 7116 LNCS pp. 81-88.

12a
J. Badziak, S. Jablonski, T. Pisarczyk, P. Raczka, E. Krousky, R. Liska, M. Kucharik, T. Chodukowski, Z. Kalinowska, P. Parys, M. Rosinski, S. Borodziuk, and J. Ullschmied.
Highly efficient accelerator of dense matter using laser-induced cavity pressure acceleration.
Physics of Plasmas, 19(5):053105, 2012.

  1. Bulanov, S. V.; Esirkepov, T. Zh.; Kando, M.; Pegoraro, F.; Bulanov, S. S.; Geddes, C. G. R.; Schroeder, C. B.; Esarey, E.; Leemans, W. P. Ion acceleration from thin foil and extended plasma targets by slow electromagnetic wave and related ion-ion beam instability PHYSICS OF PLASMAS, 19 (10):10.1063/1.4757981 OCT 2012 ISSN: 1070-664X

  2. Wu, Dong ; Zheng, C. Y. ; Zhou, C. T. ; et al. Suppressing longitudinal double-layer oscillations by using elliptically polarized laser pulses in the hole-boring radiation pressure acceleration regime PHYSICS OF PLASMAS Volume: 20 Issue: 2 Article Number: 023102 DOI: 10.1063/1.4791654 Published: FEB 2013 ISSN: 1070-664X

12b
V. Kmetík, J. Limpouch, R. Liska, and P. Váchal.
Modeling of annular-laser-beam-driven plasma jets from massive planar targets.
Laser and Particle Beams, 30(3):445-457, 2012.

  1. Wen Fu, Edison P. Liang, Milad Fatenejad, Donald Q. Lamb, Michael Grosskopf, Hye-Sook Park, Bruce Remington, Anatoly Spitkovsky Increase of the density, temperature and velocity of plasma jets driven by a ring of high energy laser beams High Energy Density Physics Volume 9, Issue 2, June 2013, Pages 336-340 ISSN: 1574-1818

13
M. Kucharik, R. Loubere, L. Bednarik, and R. Liska.
Lagrangian slide lines as a combined force and velocity boundary condition revisited.
Computers and Fluids, 83:3-14, 2013.

  1. Clair, G.; Despres, B.; Labourasse, E. A new method to introduce constraints in cell-centered Lagrangian schemes COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING Volume: 261 Pages: 56-65 DOI: 10.1016/j.cma.2013.03.013 Published: JUL 15 2013 ISSN: 0045-7825

Summary table - number of citations

paper in journals in books in proceedings total
  and disertations    
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 8   1 9
92b 2     2
93a 5 1 6 12
93b 2     2
94a 2     2
94b 1 1   2
94c 4     4
94d 2     2
95a 14   1 15
95b 1     1
95c 1     1
95d 1     1
95e 1     1
96a 14 1 13 28
96b 1     1
96c 1   2 3
96d 2     2
97a 27 4 22 53
97b 8 2   10
97c 1     1
97d 2     2
98a 38 2 12 52
98b 1   1 2
98c 1     1
98d 1     1
99a 35 2 9 46
99b 1     1
99c 1 1 1 3
00 2     2
01a 65   6 71
01b 7     7
01c 3     3
02a 2     2
02b 1     1
03 60 4 8 72
04a 6     6
04b 1     1
04c 1     1
05 18   1 19
06a 2     2
06b 1     1
06c 1     1
08 27   1 28
09 1     1
10 2     2
12a 2     2
12b 1     1
13 1     1
total 399 20 87 509
       


Richard Liska