16 citations · 16 across the 2 of their papers we have counts for
5 papers
The hot spots conjecture can be false: Some numerical examples
Andreas Kleefeld
The hot spots conjecture is only known to be true for special geometries. It can be shown numerically that the hot spots conjecture can fail to be true for easy to construct bounde…
A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting
E. O. Asante-Asamani, A. Kleefeld, B. A. Wade
A second-order -stable exponential time-differencing (ETD) method is developed by combining an ETD scheme with approximating the matrix exponentials by rational functions having…
Elastic interior transmission eigenvalues and their computation via the method of fundamental solutions
Andreas Kleefeld, Lukas Pieronek
A stabilized version of the fundamental solution method to catch ill-conditioning effects is investigated with focus on the computation of complex-valued elastic interior transmiss…
Analysis of new direct sampling indicators for far-field measurements
Isaac Harris, Andreas Kleefeld
This article focuses on the analysis of three direct sampling indicators which can be used for recovering scatterers from the far-field pattern of time-harmonic acoustic measuremen…
Theoretical Foundation of the Weighted Laplace Inpainting Problem
Laurent Hoeltgen, Andreas Kleefeld, Isaac Harris +1
Laplace interpolation is a popular approach in image inpainting using partial differential equations. The classic approach considers the Laplace equation with mixed boundary condit…