[ TMBPAVOINTG ] VL Integral equations and boundary value problems



Es ist eine neuere Version 2023W dieser LV im Curriculum Bachelor's programme Technical Mathematics 2024W vorhanden. 


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 2003W 
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 
German or English 
Study material 
R. Kress: Linear Integral Equations, Springer, Berlin, 1989.
Lecture Notes

Changing subject? 
No 



Onsite course 
Maximum number of participants 
 
Assignment procedure 
Direct assignment 
