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math.AP2020
Operator splitting for abstract Cauchy problems with dynamical boundary condition
Petra Csomós, Matthias Ehrhardt, Bálint Farkas
In this work we study operator splitting methods for a certain class of coupled abstract Cauchy problems, where the coupling is such that one of the problems prescribes a "boundary…
math.AP2015★ 1 cited
Discrete Artificial Boundary Conditions for the Korteweg-de Vries Equation
Christophe Besse, Matthias Ehrhardt, Ingrid Lacroix-Violet
In this paper we consider two numerical scheme based on trapezoidal rule in time for the linearized KdV equation in one space dimension. The goal is to derive some suitable artific…