Mirko Rokyta - list of publications

    + Published papers/books/proceedings

  1. 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]

  2. 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]

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

  4. 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]

  5. 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]

  6. 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]

  7. Malek J., Necas J., Rokyta M., Ruzicka M.: Weak and measure-valued solutions to evolutionary partial differential equations. Chapman & Hall, 1996. [Zbl 960.07040] [Contents, Preface and References of the book available as ps-file or dvi-file]
    See http://www.crcpress.com/ for more information.

  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]

  9. 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]

  10. 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]

  11. 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.

  12. 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.

  13. 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.

  14. 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, Plzeņ, 1999 [ISBN 80-7082-566-9].

  15. 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]

  16. 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.

  17. 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]

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

    19. + Translations

  19. 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

  20. 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.

  21. 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.

    22. + Submitted

  22. Kröner D., Rokyta M.: A-priori error estimates for upwind finite volume schemes in several space dimensions for linear convection dominated problems. (To appear in SIAM J. Numer. Anal.) [Preprint No. 96-37, Univ. Frieburg, 1996]

    23. + Research reports, thesis and unpublished

  23. 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.

  24. 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.

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

  26. Rokyta M.: Numerical solution of compressible inviscid fluid flow, (in Czech). MFF UK, Praha, 1988

  27. 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

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

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

Back