Language of Instruction

English

Level of Course Unit

First Cycle

Department / Program

MATHEMATICS

Mode of Delivery

Face to Face

Type of Course Unit

Elective

Objectives of the Course

Study numerical methods for the solution of linear integral equation of the second kind.

Course Content

Compact operator. The Fredholm alternative. Degenerate kernel methods. Projection methods. The Nyström method. Global approximation methods on smooth surfaces. Solution of integral equations on the unit sphere.

Course Methods and Techniques


Prerequisites and corequisities

None

Course Coordinator

None

Name of Lecturers

Olha Ivanyshyn Yaman

Assistants

None

Work Placement(s)

No

Recommended or Required Reading
Resources

Delves, L.M., and Mohamed, J.L.: Computational Methods for Integral Equations. Cambridge Univ. Press, Cambridge 1985. Hackbusch, W.: Integral Equations: Theory and Numerical Treatment. BirkhäuserVerlag, Basel 1994 Kress, R.: Linear integral equations. Springer, 2014 Atkinson, K.E.: The Numerical Solution of Integral Equations of the Second Kind. Cambridge Univ. Press, Cambridge 1997.









