Zobrazeno 1 - 10
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pro vyhledávání: '"Jahnke, Tobias"'
Autor:
Baumstark, Julian, Jahnke, Tobias
High-frequency wave propagation is often modelled by nonlinear Friedrichs systems where both the differential equation and the initial data contain the inverse of a small parameter $\varepsilon$, which causes oscillations with wavelengths proportiona
Externí odkaz:
http://arxiv.org/abs/2402.13155
Autor:
Zerulla, Konstantin, Jahnke, Tobias
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 material parameters, the solution of the Maxwell equations is less than
Externí odkaz:
http://arxiv.org/abs/2212.13872
We consider Kerr frequency combs in a dual-pumped microresonator as time-periodic and spatially $2\pi$-periodic traveling wave solutions of a variant of the Lugiato-Lefever equation, which is a damped, detuned and driven nonlinear Schr\"odinger equat
Externí odkaz:
http://arxiv.org/abs/2210.09779
Autor:
Baumstark, Julian, Jahnke, Tobias
We consider semilinear hyperbolic systems with a trilinear nonlinearity. Both the differential equation and the initial data contain the inverse of a small parameter $\varepsilon$, and typical solutions oscillate with frequency proportional to $1/\va
Externí odkaz:
http://arxiv.org/abs/2206.15402
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 and the Maxwell--Lorentz system. The interest here is in solutions tha
Externí odkaz:
http://arxiv.org/abs/2206.15396
We study stochastic Poisson integrators for a class of stochastic Poisson systems driven by Stratonovich noise. Such geometric integrators preserve Casimir functions and the Poisson map property. For this purpose, we propose explicit stochastic Poiss
Externí odkaz:
http://arxiv.org/abs/2111.07387
Autor:
Zerulla, Konstantin, Jahnke, Tobias
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 November 2023 527(1) Part 1
Autor:
Jahnke, Tobias
Publikováno v:
In Fuss und Sprunggelenk June 2022 20(2):62-73
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