Czech

Not applicable.

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.

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.

Not applicable.

Not applicable.

To provide overview and basics of practical use of parallel and quasiparallel methods for numerical solutions of sophisticated problems encountered in science and engineering.

During the semester, there will be evaluated computer laboratories. Any laboratory should be replaced in the final weeks of the semester.

Not applicable.

Not applicable.

Brdička M., Samek L., Sopko B.: Mechanika kontinua, Academia, 2005 (CS)
Burden, R. L.: Numerical analysis, Cengage Learning, 2015
Butcher, J. C.: Numerical Methods for Ordinary Differential Equations, 3rd Edition, Wiley, 2016.
Corliss, G. F.: Automatic differentiation of algorithms, Springer-Verlag New York Inc., 2002
Duff, I. S.: Direct Methods for Sparse Matrices (Numerical Mathematics and Scientific Computation), Oxford University Press, 2017
Golub, G. H.: Matrix computations, Hopkins Uni. Press, 2013
Griewank, A.: Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation, Society for Industrial and Applied Mathematics, 2008
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.
Kunovský, J.: Modern Taylor Series Method, habilitation thesis, VUT Brno, 1995
LeVeque, R. J.: Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-dependent Problems (Classics in Applied Mathematics), 2007
Meurant, G.: Computer Solution of Large Linear System, North Holland, 1999
Press, W. H.: Numerical recipes : the art of scientific computing, Cambridge University Press, 2007
Saad, Y.: Iterative methods for sparse linear systems, Society for Industrial and Applied Mathematics, 2003
Shampine, L. F.: Numerical Solution of ordinary differential equations, Chapman and Hall/CRC, 1994
Strang, G.: Introduction to applied mathematics, Wellesley-Cambridge Press, 1986
Strikwerda, J. C.: Finite Difference Schemes and Partial Differential Equations, Society for Industrial and Applied Mathematics, 2004
Šebesta, V.: Systémy, procesy a signály I. VUTIUM, Brno, 2001.
Vavřín, P.: Teorie automatického řízení I (Lineární spojité a diskrétní systémy). VUT, Brno, 1991. (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)
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)
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)
Lecture notes in PDF format (EN)
Butcher, J. C.: Numerical Methods for Ordinary Differential Equations, 3rd Edition, Wiley, 2016. (EN)
Přednášky ve formátu PDF (CS)
Source codes (TKSL, MATLAB) of all computer laboratories (EN)
Vitásek, E.: Základy teorie numerických metod pro řešení diferenciálních rovnic. Academia, Praha 1994. (CS)
Zdrojové programy (TKSL, MATLAB, Simulink) jednotlivých počítačových cvičení (CS)