M030 Numerical Differencial Equation Solving I

Faculty of Informatics
Autumn 1999
Extent and Intensity
2/1. 3 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
Teacher(s)
prof. RNDr. Ivanka Horová, CSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Departments – Faculty of Science
Contact Person: prof. RNDr. Ivanka Horová, CSc.
Prerequisites (in Czech)
M029 Numerical Methods II && M002 Calculus III && M004 Linear Algebra II
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Syllabus
  • Numerical solution of Cauchy problem of ordinary differential equations.
  • Runge-Kutta methods, multistep methods.
  • Numerical solution of boundary value problems of partial differential equations and of equations in Hilbert spaces.
  • Finite difference methods, Rayleigh-Ritz method, Galerkin method, method of lines, finite elements.
  • Stability and convergence of numerical methods.
Literature
  • MARČUK, Gurij Ivanovič. Metody numerické matematiky. Vyd. 1. Praha: Academia, 1987, 528 s. URL info
  • BARTUŠEK, Miroslav. Numerické metody řešení diferenciálních rovnic. [1. vyd.]. Praha: Rektorát UJEP, 1975, 92 s. info
  • RALSTON, Anthony. Základy numerické matematiky. 1. české vyd. Praha: Academia, 1973, 635 s. URL info
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 1997, Autumn 1998, Autumn 2000, Autumn 2001.
  • Enrolment Statistics (Autumn 1999, recent)
  • Permalink: https://is.muni.cz/course/fi/autumn1999/M030