[ 403COEXIEBU22 ] UE (*)Integral Equations and Boundary Value Problems
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| Es ist eine neuere Version 2024W dieser LV im Curriculum Masterstudium Computational Mathematics 2024W vorhanden. |
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| (*) Leider ist diese Information in Deutsch nicht verfügbar. |
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| Workload |
Ausbildungslevel |
Studienfachbereich |
VerantwortlicheR |
Semesterstunden |
Anbietende Uni |
| 1,5 ECTS |
M1 - Master 1. Jahr |
Mathematik |
Ronny Ramlau |
1 SSt |
Johannes Kepler Universität Linz |
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| Detailinformationen |
| Quellcurriculum |
Masterstudium Industrial Mathematics 2022W |
| Ziele |
(*)Support to achieve the goals of the corresponding course.
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| 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.
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| Beurteilungskriterien |
(*)Presentation of exercises at blackboard and presentation of projects
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| Abhaltungssprache |
Englisch |
| Lehrinhalte wechselnd? |
Nein |
| Äquivalenzen |
(*)TM1WAUEINTG UE Integralgleichungen und Randwertprobleme (3 ECTS)
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| Präsenzlehrveranstaltung |
| Teilungsziffer |
20 |
| Zuteilungsverfahren |
Direktzuteilung |
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