List of selected publications in English
Google Scholar profileMonographs
- Málek J., Nečas J., Rokyta M., Růžička M.: Weak and measure-valued solutions to evolutionary partial differential equations. Chapman & Hall, 1996.
Scientific articles in journals or conference proceedings
- 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., Vlášek 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., Příhoda 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.
- 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]
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Černý R., Kolář J., Rokyta M.:
Monotone measures with bad tangential behavior in the plane.
Comment. Math. Univ. Carolin. 52,3 (2011), 317-339.
-
Černý R., Kolář J., Rokyta M.:
Concentrated monotone measures with non-unique tangential behavior in $R^3$.
Czech. Math. Jour. 61 (136) (2011), 1141-1167.
-
Kröner D., Rokyta M.
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.
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Kröner D., Rokyta M.
Error estimates for higher-order finite volume schemes for convection diffusion problems. Journal of Numerical Mathematics., vol. 26 (1), (2018), 35-62. DOI: https://doi.org/10.1515/jnma-2016-1056.
- Kröner D., Mackeben Th., Rokyta M.: Nonconvergence proof for the LDA-scheme. In: Proceedings of the XVII International Conference(HYP2018) on “Hyperbolic Problems: Theory, Numerics, Applications”, by Alberto Bressan, Marta Lewicka, Dehua Wang, Yuxi Zheng (Eds.), AIMS on Applied Mathematics, Vol. 10, pp. 507-514, 2020. ISBN-10: 1-60133-023-5, ISBN-13: 978-1-60133-023-9.
Textbooks in English
- Černý 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]
Editorial work
- Málek J., Nečas 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.
- Málek J., Nečas 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]
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E. Feireisl, J. Málek, 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.
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E. Feireisl, J. Málek, 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. Málek, 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.
Theses
- Rokyta, M.: Numerical solution of strongly nonlinear
elliptic problems, (in Czech). Diploma thesis, MFF UK, Praha, 1985.
- Rokyta, M.: Euler equations and their numerical solution by the finite volume method,
(in English). Ph.D. thesis, MFF UK, Praha, 1992.
- Rokyta, M.: Theoretical analysis of the finite volume method, (Introduction in Czech). Habilitation thesis, MFF UK, Praha, 1999.