Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Isaías Alonso-Mallo"'
Autor:
Isaías Alonso-Mallo, Begoña Cano
Publikováno v:
Mathematics, Vol 9, Iss 16, p 1970 (2021)
We avoid as as much as possible the order reduction of Rosenbrock methods when they are applied to nonlinear partial differential equations by means of a similar technique to the one used previously by us for the linear case. For this we use a suitab
Externí odkaz:
https://doaj.org/article/b92f62f034e74fc19b7b0dca7cf4542f
Autor:
Isaías Alonso-Mallo, Ana M. Portillo
Publikováno v:
Mathematics, Vol 9, Iss 10, p 1113 (2021)
The initial boundary-value problem associated to a semilinear wave equation with time-dependent boundary values was approximated by using the method of lines. Time integration is achieved by means of an explicit time method obtained from an arbitrari
Externí odkaz:
https://doaj.org/article/2b6846b881424546862e75a5017d3820
Publikováno v:
Numerical Methods for Partial Differential Equations. 37:854-873
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::12cb9990701c616c83ada46ac90713b8
https://doi.org/10.1002/num.22556
https://doi.org/10.1002/num.22556
Publikováno v:
Journal of Computational and Applied Mathematics. 357:228-250
In this paper, we suggest a technique to avoid order reduction in time when integrating reaction–diffusion boundary value problems under non-homogeneous boundary conditions with exponential splitting methods. More precisely, we consider Lie–Trott
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::171f9aff1da43d9d1329d099ea8dfee8
https://doi.org/10.1016/j.cam.2019.02.023
https://doi.org/10.1016/j.cam.2019.02.023
Autor:
B. Cano, Isaías Alonso-Mallo
Publikováno v:
Mathematics
Volume 9
Issue 16
Mathematics, Vol 9, Iss 1970, p 1970 (2021)
Volume 9
Issue 16
Mathematics, Vol 9, Iss 1970, p 1970 (2021)
We avoid as as much as possible the order reduction of Rosenbrock methods when they are applied to nonlinear partial differential equations by means of a similar technique to the one used previously by us for the linear case. For this we use a suitab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58fe64bd5273b526ccf0c456016baf6e
https://doi.org/10.3390/math9161970
https://doi.org/10.3390/math9161970
Publikováno v:
IMA Journal of Numerical Analysis. 38:1294-1323
It is well known the order reduction phenomenon which arises when exponential methods are used to integrate time-dependent initial boundary value problems, so that the classical order of these methods is reduced. In particular, this subject has been
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f9a5c1aae2c3ff3d2696d857b3c295d
https://doi.org/10.1093/imanum/drx047
https://doi.org/10.1093/imanum/drx047
Publikováno v:
Applied Numerical Mathematics. 118:64-74
In this paper, a thorough analysis is given for the order which is observed when integrating evolutionary linear partial differential equations with Lawson methods. The analysis is performed under the general framework of C0-semigroups in Banach spac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::03b3846fcdb9c7654cc9cd418b988e5e
https://doi.org/10.1016/j.apnum.2017.02.010
https://doi.org/10.1016/j.apnum.2017.02.010
Autor:
Isaías Alonso-Mallo, A. M. Portillo
Publikováno v:
Journal of Computational Physics. 311:196-212
Klein-Gordon equations on an unbounded domain are considered in one dimensional and two dimensional cases. Numerical computation is reduced to a finite domain by using the Hagstrom-Warburton (H-W) high-order absorbing boundary conditions (ABCs). Time
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1aee028e0574426cac9ff9ebc1090802
https://doi.org/10.1016/j.jcp.2016.02.004
https://doi.org/10.1016/j.jcp.2016.02.004
Autor:
Ana M. Portillo, Isaías Alonso-Mallo
Publikováno v:
Mathematics and Computers in Simulation. 111:1-16
This paper is concerned about the confluence of two subjects of the numerical solution of time evolution PDEs: numerical methods that preserve geometric properties of the flow and the use of absorbing boundary conditions to reduce the computation to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f53796aee3cbe19f4bb7243d06d5a47
https://doi.org/10.1016/j.matcom.2014.11.021
https://doi.org/10.1016/j.matcom.2014.11.021
Autor:
A. M. Portillo, Isaías Alonso-Mallo
Publikováno v:
Journal of Computational Physics. 265:16-33
Coupled wave initial value problems are considered. First, problems are spatially discretized by means of fourth order implicit finite differences. To obtain numerical approximations in a bounded domain, local absorbing boundary conditions are deduce
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1463e6672323feb7217cf190b3493c59
https://doi.org/10.1016/j.jcp.2014.01.046
https://doi.org/10.1016/j.jcp.2014.01.046