Es ist eine neuere Version 2024W dieser LV im Curriculum Masterstudium Computational Mathematics 2024W vorhanden.
(*) Leider ist diese Information in Deutsch nicht verfügbar.
Workload
Ausbildungslevel
Studienfachbereich
VerantwortlicheR
Semesterstunden
Anbietende Uni
1,5 ECTS
M1 - Master 1. Jahr
Mathematik
Ronny Ramlau
1 SSt
Johannes Kepler Universität Linz
Detailinformationen
Quellcurriculum
Masterstudium Industrial Mathematics 2022W
Ziele
(*)Support to achieve the goals of the corresponding course.
Lehrinhalte
(*)This course deals with analytic and numerical aspects of linear integral equations, with an emphasis on Fredholm- and Volterra equations of the second kind. For this we consider the so-called Fredholm theory, the theorems of Riesz, and the spectral decomposition of compact linear operators. Furthermore, we familiarize ourselves with different numerical solution methods for these equations. In the second part of the course we learn about the Sturm-Liouville theory for initial- and boundary-value problems of the second kind with variable coefficients. These problems can again be treated via integral equations, which in turn leads us to the theory of Green functions and operators for their solution.
Beurteilungskriterien
(*)Presentation of exercises at blackboard and presentation of projects
Abhaltungssprache
Englisch
Lehrinhalte wechselnd?
Nein
Äquivalenzen
(*)TM1WAUEINTG UE Integralgleichungen und Randwertprobleme (3 ECTS)
