Lecture WT 2024/25 (2h)

Time and place

Wed 13-15 Small seminar room DA04G10, opens an external URL in a new window
(Freihaus, 4th floor green, inside the institute doors)

Subject of course

In this lecture we deal with non-local operators. Classical examples are integral operators with a singular kernel, which appear in integral equations in reformulations of partial differential equations, and fractional differential operators, i.e., derivatives with non-integer order. A formal definition of a fractional derivative is possible in many ways and in the lecture several definitions are presented and examined for equivalence.

The primary focus of the course is first to create an analytical framework for the treatment of such operator equations and then to present and analyze numerical methods for them. A fundamental difference to local operators, such as classical differential operators, is that discretizations lead to fully populated matrices and thus make an efficient numerical solution difficult.

Date Lecturer Topic
2.10. Markus Faustmann Organization and Introduction

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