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math.NA2022★ 32 cited
A robust and conservative dynamical low-rank algorithm
Lukas Einkemmer, Alexander Ostermann, Carmen Scalone
Dynamical low-rank approximation, as has been demonstrated recently, can be extremely efficient in solving kinetic equations. However, a major deficiency is that they do not preser…
math.NA2022
Explicit exponential Runge-Kutta methods for semilinear integro-differential equations
Alexander Ostermann, Fardin Saedpanah, Nasrin Vaisi
The aim of this paper is to construct and analyze explicit exponential Runge-Kutta methods for the temporal discretization of linear and semilinear integro-differential equations.…