[ 403MAMOIEBV22 ] VL Integral equations and boundary value problems

Workload Education level Study areas Responsible person Hours per week Coordinating university
6 ECTS M1 - Master's programme 1. year Mathematics Ronny Ramlau 4 hpw Johannes Kepler University Linz
Detailed information
Original study plan Master's programme Industrial Mathematics 2023W
Objectives Obtaining a basic understanding of linear integral equations of the second kind.
Subject 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.
Criteria for evaluation Oral exam after appointment at the end of the course
Methods Blackboard presentation
Language English
Study material Lecture Notes R. Kress: Linear Integral Equations, Springer, Berlin, 1989.
Changing subject? No
Earlier variants They also cover the requirements of the curriculum (from - to)
TMBPAVOINTG: VO Integral equations and boundary value problems (2003W-2022S)
On-site course
Maximum number of participants -
Assignment procedure Direct assignment