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pro vyhledávání: '"Hochbruck, Marlis"'
In the present paper we consider linear and isotropic Maxwell equations with inhomogeneous interface conditions. We discretize the problem with the discontinuous Galerkin method in space and with the leapfrog scheme in time. An analytical setting is
Externí odkaz:
http://arxiv.org/abs/2408.01398
We present an implicit-explicit (IMEX) scheme for semilinear wave equations with strong damping. By treating the nonlinear, nonstiff term explicitly and the linear, stiff part implicitly, we obtain a method which is not only unconditionally stable bu
Externí odkaz:
http://arxiv.org/abs/2406.19889
In the present paper we consider the semiclassical magnetic Schr\"odinger equation, which describes the dynamics of particles under the influence of a magnetic field. The solution of the time-dependent Schr\"odinger equation is approximated by a sing
Externí odkaz:
http://arxiv.org/abs/2310.16734
Publikováno v:
Phys. Rev. B 99, 075401 (2019)
We derive a model to describe the interaction of an rf-SQUID (radio frequency superconducting quantum interference device) based metasurface with free space electromagnetic waves. The electromagnetic fields are described on the base of Maxwell's equa
Externí odkaz:
http://arxiv.org/abs/1812.11227
Akademický článek
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Since their introduction in 1967, Lawson methods have achieved constant interest in the time discretization of evolution equations. The methods were originally devised for the numerical solution of stiff differential equations. Meanwhile, they consti
Externí odkaz:
http://arxiv.org/abs/1709.01000
Autor:
Carle, Constantin, Hochbruck, Marlis
Publikováno v:
Mathematics of Computation; Nov2024, Vol. 93 Issue 350, p2611-2641, 31p
Publikováno v:
SIAM Journal on Numerical Analysis, 2006 Jan 01. 43(3), 1069-1090.
Externí odkaz:
https://www.jstor.org/stable/4101280
Autor:
Hochbruck, Marlis, Lubich, Christian
Publikováno v:
SIAM Journal on Numerical Analysis, 2004 Jan 01. 41(3), 945-963.
Externí odkaz:
https://www.jstor.org/stable/4101110