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An introductory course in numerical solution of partial differential equations for bachelor's program in General
Mathematics. Recommended for specializations Mathematical Analysis and Mathematical Modelling and
Numerical Analysis.
Last update: Tichý Petr, doc. RNDr., Ph.D. (25.07.2021)
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Credit for the exercise is granted for activity at the exercise throughout the semester. Last update: Kaplický Petr, doc. Mgr., Ph.D. (29.05.2019)
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K. W. Morton, D. F. Mayers: Numerical solution of partial differential equations, 2nd ed., Cambridge University Press, Cambridge, 2005 J. C. Strikwerda: Finite difference schemes and partial differential equations, 2nd ed., SIAM, Philadelphia, 2004 R. J. LeVeque: Finite difference methods for ordinary and partial differential equations: steady-state and time-dependent problems, SIAM, Philadelphia, 2007 J. W. Thomas: Numerical partial differential equations: finite difference methods, Springer, New York, 1995 A. Quarteroni, A. Valli: Numerical approximation of partial differential equations, 2nd ed., Springer, 2008 M. Feistauer: Diskrétní metody řešení diferenciálních rovnic, skripta, SPN, Praha, 1981. Last update: Knobloch Petr, prof. Mgr., Dr., DSc. (22.07.2021)
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The exam consists of a written part and an oral part. In the written part the calculation techniques will be tested at the extent considered during the tutorials. After succeeding in the written part the students will continue with the oral part. The theory including the proofs at the extent considered during the lectures will be examined. Last update: Knobloch Petr, prof. Mgr., Dr., DSc. (22.07.2021)
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Introduction to the finite difference method. Numerical solution of the transport equation. Numerical solution of the mixed problem for the heat equation in 1D. Analysis of a general scheme for equations of 1st order in time. Numerical solution of elliptic equations. Last update: Knobloch Petr, prof. Mgr., Dr., DSc. (22.07.2021)
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Knowledge of mathematical analysis on the level of obligatory courses recommended for the first two years of the study branch General Mathematics is expected. Last update: Kaplický Petr, doc. Mgr., Ph.D. (29.05.2019)
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