Czech

Not applicable.

Half Term Exam and Term Exam. The minimal number of points which can be obtained from the final exam is 29. Otherwise, no points will be assigned to a student.
During the semester, there will be evaluated computer laboratories. Any laboratory should be replaced in the final weeks of the semester.

To provide overview and basics of practical use of parallel and quasiparallel methods for numerical solutions of sophisticated problems encountered in science and engineering.
Ability to transform a sophisticated technical problem to a system of differential equations. Ability to solve sophisticated systems of differential equations using simulation language TKSL.
Ability to create parallel and quasiparallel computations of large tasks.

Not applicable.

Not applicable.

Kunovský, J.: Modern Taylor Series Method, habilitation thesis, VUT Brno, 1995
Hairer, E., Norsett, S. P., Wanner, G.: Solving Ordinary Differential Equations I, vol. Nonstiff Problems. Springer-Verlag Berlin Heidelberg, 1987.
Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II, vol. Stiff And Differential-Algebraic Problems. Springer-Verlag Berlin Heidelberg, 1996.
Butcher, J. C.: Numerical Methods for Ordinary Differential Equations, 3rd Edition, Wiley, 2016.
Shampine, L. F.: Numerical Solution of ordinary differential equations, Chapman and Hall/CRC, 1994
Strang, G.: Introduction to applied mathematics, Wellesley-Cambridge Press, 1986
Meurant, G.: Computer Solution of Large Linear System, North Holland, 1999
Saad, Y.: Iterative methods for sparse linear systems, Society for Industrial and Applied Mathematics, 2003
Burden, R. L.: Numerical analysis, Cengage Learning, 2015
LeVeque, R. J.: Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-dependent Problems (Classics in Applied Mathematics), 2007
Strikwerda, J. C.: Finite Difference Schemes and Partial Differential Equations, Society for Industrial and Applied Mathematics, 2004
Golub, G. H.: Matrix computations, Hopkins Uni. Press, 2013
Duff, I. S.: Direct Methods for Sparse Matrices (Numerical Mathematics and Scientific Computation), Oxford University Press, 2017
Corliss, G. F.: Automatic differentiation of algorithms, Springer-Verlag New York Inc., 2002
Griewank, A.: Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation, Society for Industrial and Applied Mathematics, 2008
Press, W. H.: Numerical recipes : the art of scientific computing, Cambridge University Press, 2007
Brdička M., Samek L., Sopko B.: Mechanika kontinua, Academia, 2005 (CS)
Vavřín, P.: Teorie automatického řízení I (Lineární spojité a diskrétní systémy). VUT, Brno, 1991. (CS)
Šebesta, V.: Systémy, procesy a signály I. VUTIUM, Brno, 2001.

Vitásek, E.: Základy teorie numerických metod pro řešení diferenciálních rovnic. Academia, Praha 1994. (CS)
Čermák, L., Hlavička, R.: Numerické metody I, II, CERM, učební text FSI VUT Brno, 2008. (elektronicky dostupné z https://mathonline.fme.vutbr.cz/default.aspx?section=1246&server=1&article=263) (CS)
Kozubek, T., Brzobohatý, T., Jarošová, M., Hapla, V., Markopoulos, A.: Lineární algebra s MATLABem, učební text MI21 VŠB-TU Ostrava, 2012 (elektronicky dostupné z http://mi21.vsb.cz/sites/mi21.vsb.cz/files/unit/linearni_algebra_s_matlabem.pdf) (CS)
Přednášky ve formátu PDF (CS)
Zdrojové programy (TKSL, MATLAB, Simulink) jednotlivých počítačových cvičení (CS)
Hairer, E., Norsett, S. P., Wanner, G.: Solving Ordinary Differential Equations I, vol. Nonstiff Problems. Springer-Verlag Berlin Heidelberg, 1987. (EN)
Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II, vol. Stiff And Differential-Algebraic Problems. Springer-Verlag Berlin Heidelberg, 1996. (EN)
Butcher, J. C.: Numerical Methods for Ordinary Differential Equations, 3rd Edition, Wiley, 2016. (EN)
Lecture notes in PDF format (EN)
Source codes (TKSL, MATLAB) of all computer laboratories (EN)