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Rational Approximation and Interpolation
Last Updated: 2026-02-05 16:02:14
Abstract
The seminar covers theory and algorithms for rational interpolation based on classical and modern literature. The various topics have to be presented by groups of students.
Objective
Participants of the seminar should acquire familiarity with the theoretical properties of approximation by means of rational functions as well as knowledge about algorithms used for computing approximating or interpolating rational functions.
Content
The simplest and most widely used function system for approximation in computational mathematics are polynomials. They are ideally suited for smooth (analytic) functions. However, in many application we encounter functions with kinks and other kinds of singularities. In this case approximation by rational functions, that is, quotients of polynomials, may be vastly superior. This is why rational approximation and interpolation is receiving increased attention for the construction of surrogate models in model order reduction. This seminar will study a number of research papers dealing with both theoretical and algorithmic aspects of rational approximation and interpolation.
Resources
Literature
Will be announced in due course
General Information
- Language
- English
- Levels
- BSC , MSC
Examination
- Type
- ungraded semester performance
Registration & Places
- Signup Start
- 01.08.2022
- Signup End
- 16.09.2022
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| seminar |
Rational Approximation and Interpolation
Does not take place this semester.
Maximum number of participants: 12
The seminar will be offered in the Spring Semester 2023.
|
No time listed | 2 h weekly |
Offered In
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Seminars (NOTICE: The number of seminar places is limited, and the special selection procedure should help to allocate the places not primarily according to the registration time. Everybody is waitlisted first when he/she tries to register for a seminar in myStudies. Moreover: Only one mathematics seminar can be chosen per semester.)
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Seminars (NOTICE: The number of seminar places is limited, and the special selection procedure should help to allocate the places not primarily according to the registration time. Everybody is waitlisted first when he/she tries to register for a seminar in myStudies. Moreover: Only one mathematics seminar can be chosen per semester. In case you need to attend 2 seminars in this semester, please take contact with the Study Administration (email: ).)
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