MD209 Theoretical Numerical Analysis II

Faculty of Science
spring 2012 - acreditation

The information about the term spring 2012 - acreditation is not made public

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
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
Course objectives
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.
Syllabus
  • obolev spaces
  • 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.
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
Teaching methods
Lecture.
Assessment methods
Oral exam.
Language of instruction
Czech
Further Comments
The course is taught only once.
The course is taught: every week.
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, Spring 2014.