PřF:M9140 Theoretical Numerical Analysis - Course Information
M9140 Theoretical Numerical Analysis I
Faculty of ScienceAutumn 2009
- Extent and Intensity
- 2/0. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
- Teacher(s)
- prof. RNDr. Ivanka Horová, CSc. (lecturer)
- Guaranteed by
- prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Wed 8:00–9:50 MS1,01016
- Prerequisites
- Basic numerical methods of mathematical analysis and linear algebra. Grounding of functional analysis.
- 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
- Mathematics (programme PřF, M-MA, specialization Applied Mathematics)
- Course objectives
- In modern numerical mathematics there is a distinct effort to an abstract approach based on functional analysis.Here,functional analysis is connecting element between "pure" and "applied"mathematics and wipes the difference between these two "branches" of mathematics. This course comes on the top of preceding courses of numerical mathematics and offers universal view to studied numerical methods.
- Syllabus
- Survey of basic concepts and theorems of functional analysis
- Approximation theory-interpolation theoRy,best approximation theory, best approximation in inner spaces
- Pseudometric spaces, a general fixed point theorem in pseudometric spaces and its application
- Convergence factors and their relations
- Differential calculus for nonlinear operators, Newton's method in a Banach space
- 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
- VASILENKO, Vladimir Aleksandrovič. Splajn-funkcii : teorija, algoritmy, programmy. Novosibirsk: Nauka, 1983, 210 s. info
- Teaching methods
- Lecture: 2 hours weekly, theoretical preparation
- Assessment methods
- Lecture. Oral exam.
- Language of instruction
- Czech
- Follow-Up Courses
- Further Comments
- The course is taught annually.
- Enrolment Statistics (Autumn 2009, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2009/M9140