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math.NA2022
Analysis of a Peaceman-Rachford ADI scheme for Maxwell equations in heterogeneous media
Konstantin Zerulla, Tobias Jahnke
The Peaceman-Rachford alternating direction implicit (ADI) scheme for linear time-dependent Maxwell equations is analyzed on a heterogeneous cuboid. Due to discontinuities of the m…
math.NA2021★ 1 cited
Splitting integrators for stochastic Lie--Poisson systems
Charles-Edouard Bréhier, David Cohen, Tobias Jahnke
We study stochastic Poisson integrators for a class of stochastic Poisson systems driven by Stratonovich noise. Such geometric integrators preserve Casimir functions and the Poisso…