2 citations · 3 across the 4 of their papers we have counts for
5 papers
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…
Global continua of solutions to the Lugiato-Lefever model for frequency combs obtained by two-mode pumping
Elias Gasmi, Tobias Jahnke, Michael Kirn +1
We consider Kerr frequency combs in a dual-pumped microresonator as time-periodic and spatially -periodic traveling wave solutions of a variant of the Lugiato-Lefever equation,…
Approximation of high-frequency wave propagation in dispersive media
Julian Baumstark, Tobias Jahnke
We consider semilinear hyperbolic systems with a trilinear nonlinearity. Both the differential equation and the initial data contain the inverse of a small parameter ,…
Polarized high-frequency wave propagation beyond the nonlinear Schrödinger approximation
Julian Baumstark, Tobias Jahnke, Christian Lubich
This paper studies highly oscillatory solutions to a class of systems of semilinear hyperbolic equations with a small parameter, in a setting that includes Klein--Gordon equations…
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…