Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Oskar Ålund"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 23291-23312 (2024)
We derived an explicit form of the Jacobian for discrete approximations of a nonlinear initial boundary value problems (IBVPs) in matrix-vector form. The Jacobian is used in Newton's method to solve the corresponding nonlinear system of equations. Th
Externí odkaz:
https://doaj.org/article/127fc6fd5bd042cc9d7ed281969db162
Autor:
Oskar Ålund, Jan Nordström
Publikováno v:
Linköping Studies in Science and Technology. Dissertations ISBN: 9789179297534
Numerical solvers of initial boundary value problems will exhibit instabilities and loss of accuracy unless carefully designed. The key property that leads to convergence is stability, which this t ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::af0c7ef99aa0c13520a7b26796ccde4a
https://doi.org/10.3384/diss.diva-171230
https://doi.org/10.3384/diss.diva-171230
Autor:
Oskar Ålund, Jan Nordström, Takahiro Miura, Fredrik Laurén, Yukinao Akamatsu, Alexander Rothkopf
We develop a novel numerical scheme for the simulation of dissipative quantum dynamics following from two-body Lindblad master equations. All defining continuum properties of the Lindblad dynamics, hermiticity, positivity and in particular trace cons
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86dc60aecc8abcc69e5e2ef1058ba33f
http://arxiv.org/abs/2004.04406
http://arxiv.org/abs/2004.04406
Autor:
Oskar Ålund, Jan Nordström
Publikováno v:
Journal of Computational Physics. 425:109821
Unresolved gradients produce numerical oscillations and inaccurate results. The most straightforward solution to such a problem is to increase the resolution of the computational grid. However, this is often prohibitively expensive and may lead to ec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4006bcd39397b5e25b6d9fec4bc40b9f
https://doi.org/10.1016/j.jcp.2020.109821
https://doi.org/10.1016/j.jcp.2020.109821
Publikováno v:
Journal of Computational Physics. 424:109873
Artificial neural networks together with associated computational libraries provide a powerful framework for constructing both classification and regression algorithms. In this paper we use neural networks to design linear and non-linear discrete dif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e7b2a968789f60b406ac4b44d32a0ad7
https://doi.org/10.1016/j.jcp.2020.109873
https://doi.org/10.1016/j.jcp.2020.109873
Autor:
Oskar Ålund, Yukinao Akamatsu, Fredrik Laurén, Takahiro Miura, Jan Nordström, Alexander Rothkopf
Publikováno v:
Journal of Computational Physics: X. :100076
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::abb6eb76b621039a1f372d07ea497200
https://doi.org/10.1016/j.jcpx.2020.100076
https://doi.org/10.1016/j.jcpx.2020.100076
Autor:
Jan Nordström, Oskar Ålund
Publikováno v:
2018 AIAA Aerospace Sciences Meeting.
The suitability of a discretization method is highly dependent on the shape of the domain. Finite difference schemes are typically efficient, but struggle with complex geometry, while finite element methods are expensive but well suited for complex g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b5994e3a8560aaa8864e292aa80723ad
https://doi.org/10.2514/6.2018-1096
https://doi.org/10.2514/6.2018-1096
Autor:
Oskar Ålund, Jan Nordström
The use of implicit methods for numerical time integration typically generates very large systems of equations, often too large to fit in memory. To address this it is necessary to investigate ways to reduce the sizes of the involved linear systems.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91604e1128f7db47c9ebbeecc3caafaa
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-147768
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-147768