90 citations · 1k across the 88 of their papers we have counts for
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An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs
Marco Caliari, Lukas Einkemmer, Alexander Moriggl +1
Rational exponential integrators (REXI) are a class of numerical methods that are well suited for the time integration of linear partial differential equations with imaginary eigen…
A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions
Lukas Einkemmer, Alexander Ostermann, Mirko Residori
The present work proposes a second-order time splitting scheme for a linear dispersive equation with a variable advection coefficient subject to transparent boundary conditions. Fo…
An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation
Lukas Einkemmer, Jingwei Hu, Yubo Wang
We introduce a dynamical low-rank method to reduce the computational complexity for solving the multi-scale multi-dimensional linear transport equation. The method is based on a ma…