The students obtain basic functional analytic knowledge on the theory and applications of linear integral equations. They can classify integral operators and have a basic understanding of the solution theory for integral equations of the first and second kind.
Skills
Knowledge
Classification of Integral Operators/Equations
Transformation of differential equations into integral equations
determine mapping properties of integral operators
derive information about the solvability of a given integral equation
compute the adjoint of an integral operator
develop numerical schemes for the solution of a given integral equation
none.
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)