M9100 Numerical methods for solving differential equations

Faculty of Science
Autumn 1999
Extent and Intensity
2/1/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Ivanka Horová, CSc. (lecturer), Mgr. Jiří Zelinka, Dr. (deputy)
Mgr. Jiří Zelinka, Dr. (seminar tutor)
Guaranteed by
prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Ivanka Horová, CSc.
Prerequisites (in Czech)
M5122 Numerical Methods II && M5160 Differential Eqs.&Cont. Models && M6150 Linear Functional Analysis I
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
  • Cauchy initial problem,Runge- Kutta methods for ordinary differential equations,multistep methods
  • Variational methods,Ritz method, Galerkin method
  • Finite elements methods for partial differential equations
  • Finite difference methods for partial differential equations
  • Shooting methods for boundary value problem
Literature
  • VITÁSEK, Emil. Základy teorie numerických metod pro řešení diferenciálních rovnic. 1. vyd. Praha: Academia, 1994, 409 s. ISBN 8020002812. info
  • RALSTON, Anthony. Základy numerické matematiky. 1. české vyd. Praha: Academia, 1973, 635 s. URL info
  • REKTORYS, Karel. Metoda časové diskretizace a parciální diferenciální rovnice. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 361 s. URL info
Assessment methods (in Czech)
Zkouška ústní
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 2007 - for the purpose of the accreditation, Autumn 2010 - only for the accreditation, Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019.
  • Enrolment Statistics (Autumn 1999, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn1999/M9100