401-3650-72L Rational Approximation and Interpolation
|Semester||Autumn Semester 2022|
|Course||Does not take place this semester.|
|Language of instruction||English|
|401-3650-72 S||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.
|2 hrs||R. Hiptmair|
|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.
|Literature||Will be announced in due course|
|Prerequisites / Notice||Good skills in analysis are required as well as basic familiarity with numerical methods for interpolation and approximation with polynomials. |
Preparatory meeting: Mon, Sep 19, 2022, 18:00 on ZOOM,
Meeting ID: 698 4220 0325, Password: RAP HS22
Every presentation has to be done jointly by a group of 2-3 students with presenters selected at random. Every participant will have to present on 2-3 occasions.
See https://people.math.ethz.ch/~hiptmair/Seminars/RAP_22/SeminarRAP_HS22.pdf for more information.
|Performance assessment information (valid until the course unit is held again)|
|Performance assessment as a semester course|
|ECTS credits||4 credits|
|Type||ungraded semester performance|
|Language of examination||English|
|Repetition||Repetition possible without re-enrolling for the course unit.|
|No public learning materials available.|
|Only public learning materials are listed.|
|No information on groups available.|
|Places||Limited number of places. Special selection procedure.|
|Beginning of registration period||Registration possible from 01.08.2022|
|Priority||Registration for the course unit is until 28.08.2022 only possible for the primary target group|
|Primary target group||Mathematics BSc (404000)
starting semester 05|
Mathematics MSc (437000)
Applied Mathematics MSc (437100)
Mathematics (Mobility) (448000)
|Waiting list||until 26.09.2022|
|End of registration period||Registration only possible until 16.09.2022|