Mirko Rokyta

Publikace

Google Scholar profile

Monografie

  • Malek J., Necas J., Rokyta M., Ruzicka M.: Weak and measure-valued solutions to evolutionary partial differential equations. Chapman & Hall, 1996.

Odborné články v časopisech a recenzovaných sbornících

  • Feistauer M., Kalis H., Rokyta M.: Mathematical modelling of an electrolysis process. Comment. Math. Univ. Carolin. 30 (1989), no. 3, 465-477. [MR 91d:35081]

  • Feistauer M., Felcman J., Rokyta M., Vlasek Z.: Finite element solution of flow problems with trailing conditions J. Comput. Appl. Math. 44 (1992), no.2, 131-165. [MR 94d:76052]

  • Kröner D., Rokyta M.: Convergence of upwind finite volume schemes for scalar conservation laws in 2D. SIAM J. Numer. Anal. 31 (1994), no. 2, 324-343. [Zbl 930.53894], [MR 95e:65085]

  • Kröner D., Noelle S., Rokyta M.: Convergence of higher order upwind finite volume schemes on unstructured grids for scalar conservation laws in several space dimensions. Numer. Math. 71 (1995), no. 4, 527-560. [Zbl 841.65079], [MR 96j:65087]

  • Kröner D., Rokyta M., Wierse M.: Finite volume methods of higher order for conservation laws and convection dominated diffusion equations. In: Proceedings of the 2nd Seminar Euler and Navier-Stokes Equations, Kozel K., Prihoda J. (eds.), pp. 41-44, Institute of Thermomechanics AS CR Prague, 1996. [ISBN: 80-85918-18-8]

  • Kröner D., Rokyta M., Wierse, M.: A Lax-Wendroff type theorem for upwind finite volume schemes in 2D. East-West J. Numer. Math. 4 (1996), no. 4, 279-292. [Preprint No. 96-36, Univ. Freiburg, 1996]

  • Kröner D., Rokyta M.: Higher order finite volume method for convection dominated diffusion equation in 2D. In: Numerical Modelling in Continuum Mechanics, Feistauer M., Rannacher R., Kozel K. (eds.), pp. 62-70, Matfyzpress, Praha 1997. [ISBN: 80-85863-25-1]

  • Rokyta M.: On the solvability of a nonlinear discrete problem corresponding to a higher-order finite volume approximation in 2D. East-West J. of Num. Math. 7, no.3 (1999), 187-197.

  • Rokyta, M.: Replacing h by h2. In: Applied Nonlinear Analysis, Sequeira, A. et al. (eds.), pp. 469-484, Kluwer Academic / Plenum Publishers, New York, Boston, Dordrecht, London, Moscow, 1999.

  • Feistauer M., Dolejsi V., Felcman J., Klikova A., Rokyta M.: Numerical schemes for nonlinear convection-diffusion problems. In: Proceedings of the XIIIth Summer School Software and Algorithms of Numerical Mathematics, 51-74 , ed. University of West Bohemia, Plzeň, 1999 [ISBN 80-7082-566-9].

  • Rokyta M.: A suitable replacement of the BV condition for finite volume schemes on unstructured grids. In: Numerical Modelling in Continuum Mechanics, Feistauer M., Rannacher R., Kozel K. (eds.), pp. 267-274, Matfyzpress, Praha, 2001. [ISBN: 80-85863-67-7]

  • Robert Černý, Jan Kolář, Mirko Rokyta: Monotone measures with bad tangential behavior in the plane. Comment.Math.Univ.Carolin. 52,3 (2011), 317-339.

  • Robert Černý, Jan Kolář, Mirko Rokyta: Concentrated monotone measures with non-unique tangential behavior in $R^3$. Czech. Math. Jour. 61 (136) (2011), 1141-1167.

  • Dietmar Kröner, Mirko Rokyta: A priori error estimates for upwind finite volume schemes for two-dimensional linear convection diffusion problems. Bull. Braz. Math. soc, New series. 47(2) (2016), 473-488.

  • Dietmar Kröner, Mirko Rokyta: Error estimates for higher-order finite volume schemes for convection diffusion problems. Journal of Numerical Mathematics. (to appear in print). DOI: https://doi.org/10.1515/jnma-2016-1056, January 2017.

Skripta

  • Cerny I., Rokyta M.: Differential and integral calculus of one real variable. Textbook for students of MFF UK (in English). Karolinum, 1998. [ISBN 80-7184-661-9]

  • Cihak, P. et al (including Rokyta, M.): Matematicka analyza pro fyziky V. Matfyzpress, Praha, 2001. (in Czech) [ISBN: 80-85863-65-0]

Populárně naučné články

  • Rokyta M.: Conversations with Gustave Choquet (in Czech). Pokroky Mat. Fyz. Astronom. 37 (1992), no.1, 30-42. [MR 93f:01025]

  • Rokyta M.: Bernoulliova nerovnost pro $x<-1$ (in Czech). Rozhledy Mat.-Fyz. 2-3/00 (2000), 49-56. Reprinted in Informace MVS, 55 (2000), 15-22.

  • Rokyta M.: Hyperbolické systémy, entropie a metoda konečných objemů. Pokroky matematiky, fyziky a astronomie, vol. 47 (2002), č.4, pp. 287-297.

  • Pick, L., Rokyta M.: O princezně a píďalce. Pokroky matematiky, fyziky a astronomie, vol. 57 (2012), č. 3, pp. 217-231.

Překlady

  • Fermat's Last Theorem (in Czech). Pokroky Mat. Fyz. Astronom. 42 (1997), no.4, 169-183. (Original: "BBC: Horizon series on FLT") Translated from English by M.Rokyta

  • Experimentalni matematika se hlasi o slovo (in Czech). Pokroky Mat. Fyz. Astronom. 44 (1999), no.1, 50-61. (Original: Borwein J., Borwein P., Girgensohn R., Parnes S.: Making Sense of Experimental Mathematics. The Mathematical Intelligencer, vol. 18, no. 4, (1996), 12-18.) Translated from English by M.Rokyta.

  • Velka Fermatova veta. Academia, Praha, 2000. ISBN 80-200-0394-0. (Original: Simon Singh: Fermat's Last Theorem) Translated from English by L. Pick, J. Rakosnik, M. Rokyta.

Editorsví sborníků

  • Malek J., Necas J., Rokyta M. (eds.): Advanced topics in theoretical fluid mechanics, Pitman Research Notes in Mathematics Series 392, (the Proceedings of the Fifth Winter School, Paseky, December 1997), Addison Wesley Longman, 1998.

  • Malek J., Necas J., Rokyta M. (eds.): Advances in Mathematical Fluid Mechanics Lecture notes of the sixth international school "Mathematical theory in fluid mechanics", Paseky, Czech Republic, Sept. 19-25, 1999, Springer Verlag, Berlin-Heidelberg-New York, 2000. [ISBN 3-540-67786-0]

  • E. Feireisl, J. Malek, M. Rokyta (eds.): Proceedings of the Tenth Paseky School on Mathematical Theory in Fluid Mechanics, Paseky, May 2007. Discrete and Continuous Dynamical Systems - Series S, Vol. 1, No. 3, September 2008.

  • E. Feireisl, J. Malek, M. Rokyta (eds.): Proceedings of the Eleventh School on Mathematical Theory in Fluid Mechanics, Kacov, May 2009. Discrete and Continuous Dynamical Systems - Series S, Vol. 3, No. 3, September 2010.

  • E. Feireisl, J. Malek, M. Rokyta (eds.): Proceedings of the 12th School on Mathematical Theory in Fluid Mechanics, Kacov, May-June 2011. Discrete and Continuous Dynamical Systems - Series S, Vol. 5, No. 6, December 2012.

Výzkumné zprávy, these

  • Feistauer M., Felcman J., Rokyta M., Vlasek Z.: Popis systemu programu pro reseni dvourozmernych modelu neviriveho nevazkeho proudeni metodou konecnych prvku, (in Czech). Vyzkumna zprava pro o.p. CKD Praha-Kompresory, Praha, 1987.

  • Feistauer M., Felcman J., Rokyta M., Vlasek Z.: Numericke reseni modelu nevazkeho neviriveho proudeni metodou konecnych prvku, (in Czech). Vyzkumna zprava pro s.p. SKODA Plzen, VVZ Turbiny, Praha, 1989.

  • Rokyta, M.: Numerical solution of strongly nonlinear elliptic problems, (in Czech). Diploma thesis, MFF UK, Praha, 1985.

  • Rokyta M.: Numerical solution of compressible inviscid fluid flow, (in Czech). Vyzkumna zprava pro o.p. CKD Praha - Kompresory, Praha, 1988

  • Rokyta M.: System programu pro reseni dvourozmernych modelu nevazke proudeni metodou konecnych prvku (popis pro uzivatele). (in Czech). Vyzkumna zprava pro o.p. CKD Praha - Kompresory, Praha, 1988

  • Rokyta, M.: Euler equations and their numerical solution by the finite volume method, (in English). PhD thesis, MFF UK, Praha, 1992.

  • Rokyta, M.: Theoretical analysis of the finite volume method, (in Czech). Habilitation thesis, MFF UK, Praha, 1999.

Posted on February 3, 2013 by Rokyta