Fully discrete approximation by Galerkin Runge-Kutta methods for quasilinear parabolic systems

Nakaguchi, Etsushi; Yagi, Atsushi

Hokkaido Mathematical Journal, 2002, 31(2), 385-429

Number of Access:290（2025-09-09 02:02 Counts）

Identifier to cite or link to this item: https://hdl.handle.net/11094/90762

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Title
Fully discrete approximation by Galerkin Runge-Kutta methods for quasilinear parabolic systems
Creator
NRID
1000070304011 1000070304011
ORCID
0000-0003-0004-4452 0000-0003-0004-4452
researchmap permalink
e_nakaguti e_nakaguti
CreatorName
Nakaguchi, Etsushi
NRID
1000070116119 1000070116119
CreatorName
Yagi, Atsushi
Subject
Galerkin finite element method
Implicit Runge-Kutta methods
Quasilinear parabolic systems
Description
Nakaguchi E., Yagi A. Fully discrete approximation by Galerkin Runge-Kutta methods for quasilinear parabolic systems. Hokkaido Mathematical Journal 31, 385 (2002); https://doi.org/10.14492/hokmj/1350911871.
Abstract
We study fully discrete approximation of quasilinear parabolic systems. Presenting a full discretization scheme based on the Galerkin and the Runge-Kutta methods, we establish the stability and the error estimate of the scheme by means of the semigroup method. First our results are stated for a chemotaxis-growth system arising in biology, then those are generalized to quasilinear abstract parabolic evolution equations.
Publisher
Hokkaido University, Department of Mathematics
Source Title
Hokkaido Mathematical Journal
Volume (Issue)
31(2)
Page
385-429
Date of Issued
2002-02
Language
English
Handle URL
https://hdl.handle.net/11094/90762
PISSN
03854035
NCID
AA00664662
Relation.isIdenticalTo
DOI (Publisher Version)
https://doi.org/10.14492/hokmj/1350911871
Access Rights
open access
CopyRight
© 2002 Hokkaido University, Department of Mathematics
oaire:version
Version of Record
Category
学術雑誌論文 Journal Article