401-3650-72L  Rational Approximation and Interpolation

SemesterAutumn Semester 2022
LecturersR. Hiptmair
Periodicitynon-recurring course
CourseDoes not take place this semester.
Language of instructionEnglish



Courses

NumberTitleHoursLecturers
401-3650-72 SRational 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 hrsR. Hiptmair

Catalogue data

AbstractThe 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.
ObjectiveParticipants 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.
ContentThe 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.
LiteratureWill be announced in due course
Prerequisites / NoticeGood 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 Link for more information.
CompetenciesCompetencies
Subject-specific CompetenciesConcepts and Theoriesassessed
Method-specific CompetenciesAnalytical Competenciesassessed
Media and Digital Technologiesassessed
Problem-solvingassessed
Social CompetenciesCommunicationassessed
Cooperation and Teamworkassessed
Personal CompetenciesCritical Thinkingassessed
Self-awareness and Self-reflection assessed

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits4 credits
ExaminersR. Hiptmair
Typeungraded semester performance
Language of examinationEnglish
RepetitionRepetition possible without re-enrolling for the course unit.

Learning materials

No public learning materials available.
Only public learning materials are listed.

Groups

No information on groups available.

Restrictions

PlacesLimited number of places. Special selection procedure.
Beginning of registration periodRegistration possible from 01.08.2022
PriorityRegistration for the course unit is until 28.08.2022 only possible for the primary target group
Primary target groupMathematics BSc (404000) starting semester 05
Mathematics MSc (437000)
Applied Mathematics MSc (437100)
Mathematics (Mobility) (448000)
Waiting listuntil 26.09.2022
End of registration periodRegistration only possible until 16.09.2022

Offered in

ProgrammeSectionType
Mathematics BachelorSeminarsWInformation
Mathematics MasterSeminarsWInformation