SOME PRACTICAL EXPERIENCE WITH THE TIME INTEGRATION OF DISSIPATIVE EQUATIONS

被引：23

作者：

GARCIAARCHILLA, B

机构：

[1] Departamento de Matemática Aplicada y Computación, Universidad de Valladolid, Valladolid

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1995年 / 122卷 / 01期

关键词：

D O I：

10.1006/jcph.1995.1193

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Different methods for the numerical integration of evolution dissipative partial differential equations are tested with the Kuramoto-Sivashinsky equation. Discretizations in space include Galerkin and nonlinear Galerkin methods. For integration in time three different codes are used, including standard stiff ODE methods. Numerical tests show that sta nda rd codes for stiff ODE ren der a gain of computing time of several orders of magnitude with respect problem-tailored methods. (C) 1995 Academic Press, Inc.

引用

页码：25 / 29

页数：5

共 24 条

[1] CANUTO C, 1988, COMPUTATIONAL PHYSIC
[2] Constantin P, 1989, APPL MATH SCI, V70
[3] A CLASS OF NUMERICAL ALGORITHMS FOR LARGE TIME INTEGRATION - THE NONLINEAR GALERKIN METHODS
DEVULDER, C
MARION, M
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1992, 29 (02) : 462 - 483
[4] SUBGRID MODELING AND THE INTERACTION OF SMALL AND LARGE WAVELENGTHS IN TURBULENT FLOWS
DUBOIS, T
JAUBERTEAU, F
MARION, M
TEMAM, R
[J]. COMPUTER PHYSICS COMMUNICATIONS, 1991, 65 (1-3) : 100 - 106
[5] INERTIAL MANIFOLDS FOR NONLINEAR EVOLUTIONARY EQUATIONS
FOIAS, C
SELL, GR
TEMAM, R
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1988, 73 (02) : 309 - 353
[6] FOIAS C, 1988, J MATH PURE APPL, V67, P197
[7] ON THE COMPUTATION OF INERTIAL MANIFOLDS
FOIAS, C
JOLLY, MS
KEVREKIDIS, IG
SELL, GR
TITI, ES
[J]. PHYSICS LETTERS A, 1988, 131 (7-8) : 433 - 436
[8] TIME INTEGRATION OF THE NONLINEAR GALERKIN METHOD
GARCIAARCHILLA, B
DEFRUTOS, J
[J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 1995, 15 (02) : 221 - 244
[9] HAIRER E, 1987, SOLVING ORDINARY DIF, V1
[10] Hale J. K., 1988, ASYMPTOTIC BEHAV DIS

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