M030 Numerical Differencial Equation Solving I

Faculty of Informatics
Autumn 2000
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
doc. RNDr. Jiří Kaďourek, CSc.
Departments – Faculty of Science
Contact Person: prof. RNDr. Ivanka Horová, CSc.
Prerequisites (in Czech)
M029 Numerical Methods II && M002 Calculus III && M004 Linear Algebra and Geometry 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 1999, Autumn 2001.
  • Enrolment Statistics (Autumn 2000, recent)
  • Permalink: https://is.muni.cz/course/fi/autumn2000/M030