Zobrazeno 1 - 10
of 95
pro vyhledávání: '"Anton Arnold"'
Publikováno v:
Communications in Mathematical Sciences. 20:1047-1080
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d47c02c0d2dd938bcb2e336f3aaf15b
https://doi.org/10.4310/cms.2022.v20.n4.a5
https://doi.org/10.4310/cms.2022.v20.n4.a5
Publikováno v:
Communications on Pure and Applied Analysis
Communications on Pure and Applied Analysis, 2022, 21 (10), pp.3389. ⟨10.3934/cpaa.2022105⟩
Communications on Pure and Applied Analysis, 2022, 21 (10), pp.3389. ⟨10.3934/cpaa.2022105⟩
We consider the initial-value problem for the one-dimensional, time-dependent wave equation with positive, Lipschitz continuous coefficients, which are constant outside a bounded region. Under the assumption of compact support of the initial data, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b92acfe47ae6bf2ae83f5d20bb491b7b
Publikováno v:
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d97d10a76d8a106ef7137e18e040e25b
https://doi.org/10.1002/zamm.202100171
https://doi.org/10.1002/zamm.202100171
Publikováno v:
BIT Numerical Mathematics
BIT Numerical Mathematics, Springer Verlag, 2021, ⟨10.1007/s10543-021-00868-x⟩
BIT Numerical Mathematics, Springer Verlag, 2021, ⟨10.1007/s10543-021-00868-x⟩
International audience; This paper is concerned with the efficient numerical computation of solutions to the 1D stationary Schrödinger equation in the semiclassical limit in the highly oscillatory regime. A previous approach to this problem based on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef7f31d29e96f13843334ad0543693a0
https://hal.archives-ouvertes.fr/hal-03301359
https://hal.archives-ouvertes.fr/hal-03301359
Publikováno v:
Computers & Mathematics with Applications
Computers & Mathematics with Applications, 2022, 109, pp.1-14. ⟨10.1016/j.camwa.2022.01.010⟩
Computers & Mathematics with Applications, 2022, 109, pp.1-14. ⟨10.1016/j.camwa.2022.01.010⟩
We introduce a new numerical method for solving time-harmonic acoustic scattering problems. The main focus is on plane waves scattered by smoothly varying material inhomogeneities. The proposed method works for any frequency $\omega$, but is especial
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20866bc01ffda92d506766b6b44b1fa8
http://arxiv.org/abs/2103.02511
http://arxiv.org/abs/2103.02511
Publikováno v:
Journal of Computational Physics. 457:111118
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78863c411d1309b5292b233404a65d91
https://doi.org/10.1016/j.jcp.2022.111118
https://doi.org/10.1016/j.jcp.2022.111118
Publikováno v:
Journal of Computational and Applied Mathematics. 404:113905
This paper is concerned with an efficient numerical method for solving the 1D stationary Schr\"odinger equation in the highly oscillatory regime. Being a hybrid, analytical-numerical approach it does not have to resolve each oscillation, in contrast
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b48ad0f5692015d90a2bb44abf40d6a
https://doi.org/10.1016/j.cam.2021.113905
https://doi.org/10.1016/j.cam.2021.113905
Publikováno v:
Journal of Differential Equations. 264:6843-6872
We establish sharp long time asymptotic behaviour for a family of entropies to defective Fokker–Planck equations and show that, much like defective finite dimensional ODEs, their decay rate is an exponential multiplied by a polynomial in time. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::169d4d9b078264e6a1d391eed7bc410f
https://doi.org/10.1016/j.jde.2018.01.052
https://doi.org/10.1016/j.jde.2018.01.052
Publikováno v:
Kinetic & Related Models. 11:953-1009
We study hypocoercivity for a class of linearized BGK models for continuous phase spaces. We develop methods for constructing entropy functionals that enable us to prove exponential relaxation to equilibrium with explicit and physically meaningful ra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::806aebfce565b5c5527cb1436f767fe9
https://doi.org/10.3934/krm.2018038
https://doi.org/10.3934/krm.2018038
Publikováno v:
Applied Mathematics and Computation. 409:125599
In this paper, we present the Abramov approach for the numerical simulation of the whispering gallery modes in prolate spheroids. The main idea of this approach is the Newton–Raphson technique combined with the quasi-time marching. In the first ste
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::29e1ad886540ced3b586f5a7f6b6603d
https://doi.org/10.1016/j.amc.2020.125599
https://doi.org/10.1016/j.amc.2020.125599