Zobrazeno 1 - 10
of 188
pro vyhledávání: '"Alexander Ostermann"'
Publikováno v:
Numerische Mathematik. 150:105-135
The present work proposes a second-order time splitting scheme for a linear dispersive equation with a variable advection coefficient subject to transparent boundary conditions. For its spatial discretization, a dual Petrov–Galerkin method is consi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48bb9798dd1f28d79413621e3f1c9fb1
https://doi.org/10.1007/s00211-021-01252-1
https://doi.org/10.1007/s00211-021-01252-1
Publikováno v:
Mathematics of Computation
We study a filtered Lie splitting scheme for the cubic nonlinear Schrödinger equation. We establish error estimates at low regularity by using discrete Bourgain spaces. This allows us to handle data in H s H^s with 0 > s > 1 0>s>1 overcoming the sta
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53a0e002df8cb178abf8a42658f1dc20
https://doi.org/10.1090/mcom/3676
https://doi.org/10.1090/mcom/3676
Publikováno v:
BIT Numerical Mathematics. 61:1061-1092
The space fractional Cahn-Hilliard phase-field model is more adequate and accurate in the description of the formation and phase change mechanism than the classical Cahn-Hilliard model. In this article, we propose a temporal second-order energy stabl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::74f75f7ecb13098251dabaa85a3afdfe
https://doi.org/10.1007/s10543-021-00843-6
https://doi.org/10.1007/s10543-021-00843-6
Publikováno v:
Numerische Mathematik, 145 (3), 553–580
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f34f3a46e65180e9b27c2b4d1e617be
https://doi.org/10.1007/s00211-020-01120-4
https://doi.org/10.1007/s00211-020-01120-4
Publikováno v:
Oberwolfach Reports. 16:305-405
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41dc806cf41c2be902ebf7c7ba4e954b
https://doi.org/10.4171/owr/2019/5
https://doi.org/10.4171/owr/2019/5
Publikováno v:
International Journal for Numerical and Analytical Methods in Geomechanics
Summary The intergranular strain concept was originally developed to capture the small‐strain behaviour of the soil with hypoplastic models. A change of the deformation direction leads to an increase of the material stiffness. To obtain elastic beh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=pmid_dedup__::673b8da641e610f94688b7bfc210c9cf
http://europepmc.org/articles/PMC7187246
http://europepmc.org/articles/PMC7187246
Publikováno v:
Advances in Continuous and Discrete Models. 2022
In this paper, we analyze a new exponential-type integrator for the nonlinear cubic Schrödinger equation on the d dimensional torus $\mathbb{T}^{d}$ T d . The scheme has also been derived recently in a wider context of decorated trees (Bruned et al.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bfee6078edd58ba561b6f1d9dc42762a
https://doi.org/10.1186/s13662-022-03695-8
https://doi.org/10.1186/s13662-022-03695-8
In this paper, we propose a $\mu$-mode integrator for computing the solution of stiff evolution equations. The integrator is based on a $d$-dimensional splitting approach and uses exact (usually precomputed) one-dimensional matrix exponentials. We sh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::12d3b65df756fb66b26b5d8807fa4723
http://hdl.handle.net/11562/1056996
http://hdl.handle.net/11562/1056996
Publikováno v:
Journal of Scientific Computing. 89
In this article, our goal is to establish fast and efficient numerical methods for nonlinear space-fractional convection–diffusion–reaction (CDR) equations in the 1, 2, and 3 dimensions. For the spatial discretization of the CDR equations, the we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cc981ff97261926bfa614208ab30dc15
https://doi.org/10.1007/s10915-021-01622-9
https://doi.org/10.1007/s10915-021-01622-9
Autor:
Alexander Ostermann, Chunmei Su
Publikováno v:
Numerische Mathematik. 143:683-712
We introduce two exponential-type integrators for the “good” Boussinesq equation. They are of orders one and two, respectively, and they require lower spatial regularity of the solution compared to classical exponential integrators. For the first
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff11c37b9572b9c8dd5a45cf4739b997
https://doi.org/10.1007/s00211-019-01064-4
https://doi.org/10.1007/s00211-019-01064-4