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Last update: T_KNM (14.04.2015)
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Last update: doc. RNDr. Jiří Felcman, CSc. (07.06.2019)
Written and oral exam |
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Last update: doc. RNDr. Václav Kučera, Ph.D. (29.10.2019)
Feistauer M.: Mathematical Methods in Fluid Dynamics. Longman Scientific-Technical, Harlow, l993
Feistauer M., Felcman J., Straškraba I.: Mathematical and Computational Methods for Compressible Flow. Clarendon Press, Harlow, 2003.
Felcman J.: Numerické metody v mechanice tekutin 2, aktualizovaný internetový učební text
Godlewski E., Raviart P. A.: Numerical Approximation of Hyperbolic Systems of Conservation Laws, Number 118 in Applied Mathematical Sciences, Springer, New York 1996
Smoller J.: Shock Waves and Reaction-Diffusion Equations, Springer, New York, 1983 |
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Last update: doc. RNDr. Jiří Felcman, CSc. (07.06.2019)
The exam is written and oral. The examination requirements are given by the topics in the syllabus, in the extent to which they were taught in course. |
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Last update: T_KNM (14.04.2015)
Mathematical theory of compressible flow. Equations describing the flow. The Euler equations. Properties of the Euler equations. Cauchy problem. Weak solutions. Finite volume method. Finite volume mesh. Derivation of a general finite volume scheme. Properties of the numerical flux. Construction of some numerical fluxes. The Godunov method. |
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Last update: doc. RNDr. Jiří Felcman, CSc. (31.05.2018)
Basic knowledge of the theory of partial differential equations |