MD209 Theoretical Numerical Analysis II

Faculty of Science
Spring 2012
Extent and Intensity
2/0. 2 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).
Teacher(s)
Mgr. Jiří Zelinka, Dr. (lecturer)
Guaranteed by
prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Wed 8:00–9:50 MS1,01016
Prerequisites
Basics of functional analysis, numerical methods
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
Abstract
Modern numerical mathematics uses functional analysis for an abstract appoach of numerical methods.This lecture generalizes basic numerical methods from courses Numerical methods I,II.Students will receive a comprehesive overview above numerical methods.
Key topics
  • Sobolev spaces
  • Splines
  • Variational formulation of elliptic boundary value problem
  • The Galerkin methods and its variants
  • Finite element analysis
  • Numerical solution of Fredholm integral equations of the second order.
Study resources and literature
  • ATKINSON, Kendall and Weimin HAN. Theoretical Numerical Analysis. New-York: Springer-Verlag, 2001, 450 pp. Texts in Applied Mathematics. ISBN 0-387-95142-3. info
  • ORTEGA, James M. and Werner C. RHEINBOLDT. Iterative Solution of Nonlinear Equations in Several Variables. 1st ed. New York - London: Academic Press, 1970, 572 pp. Computer Science and Applied Mathematics. info
  • GOLUB, Gene H. and James M. ORTEGA. Scientific Computing : An Introduction with Parallel Computing. San Diego: Academic Press, 1993, 442 s. ISBN 0122892534. info
Approaches, practices, and methods used in teaching
Lecture.
Method of verifying learning outcomes and course completion requirements
Oral exam.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught only once.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2010, spring 2012 - acreditation, Spring 2014.
  • Enrolment Statistics (Spring 2012, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2012/MD209