Tuesday, May 2, 2023 - 14:10 in V5-148 + Zoom
Approximation of some nonlocal operators in a sinc-basis
A talk in the Nonlocal Equations: Analysis and Numerics 2023 series by
Ludwig Striet from Freiburg
| Abstract: |
In recent articles, we have shown how – as a model problem – the fractional Laplacian and the fractional Dirichlet problem can be approximated using a sinc-basis. The keypoint for the effectiveness of the method is the simple representation of the sinc function in the Fourier space and that the fractional Laplacian can be written as a Fourier multiplier. In this talk, we will show that the provided strategies can be easily adapted to approximate other nonlocal operators as well, as long as they have a suitable representation in Fourier space. As a demonstration, we show numerical results for the solution of a fractional version of the Eikonal equation where we replace the gradient by a fractional gradient of Riesz type and solve the Dirichlet problem for the logarithmic Laplacian.
Zoom Meeting ID: 926 5310 0938
Passcode: 1928
Within the CRC this talk is associated to the project(s): A7 |
Back
