16 citations · 16 across the 4 of their papers we have counts for
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Comparing intrusive and non-intrusive polynomial chaos for a class of exponential time differencing schemes
Julian Clausnitzer, Andreas Kleefeld
We consider the numerical approximation of different ordinary differential equations (ODEs) and partial differential equations (PDEs) with periodic boundary conditions involving a…
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…