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 socalled 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 SturmLiouville theory for initial and boundaryvalue 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 (2003W2022S)
