AN EASILY IMPLEMENTABLE 4TH-ORDER METHOD FOR THE TIME INTEGRATION OF WAVE PROBLEMS

被引：52

作者：

DEFRUTOS, J

SANZSERNA, JM

机构：

[1] Departamento de Matemdtica Aplicada y Computación, Facultad de Ciencias, Universidad de Valladolid, Valladolid

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1992年 / 103卷 / 01期

关键词：

D O I：

10.1016/0021-9991(92)90331-R

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We are concerned with the time-integration of systems of ordinary differential equations arising from the space discretization of partial differential wave equations with smooth solutions. A method is suggested that, while being as easily implementable as the standard implicit mid-point rule, is fourth-order accurate. The new method is symplectic so that it is very well suited for long-time integrations of problems with a Hamiltonian structure. Numerical experiments are reported that refer to a fourth-order Galerkin space discretization of the Korteweg-de Vries equation and to a pseudospectral space discretization of the same equation. © 1992.

引用

页码：160 / 168

页数：9

共 35 条

[1]

ABIA L, 1990, 19908 U VALL APPL MA

[2]

[Anonymous], 1987, SOLVING ORDINARY DIF, DOI DOI 10.1007/978-3-662-12607-3

[3]

BUTCHER JC, 1987, NUMERICAL ANAL DIFFE

[4]

CALLVO MP, 1992, BIT, V32, P131

[5]

Canuto C., 2012, SPECTRAL METHODS EVO

[6] SYMPLECTIC INTEGRATION OF HAMILTONIAN-SYSTEMS [J].

CHANNELL, PJ ;

SCOVEL, C .

NONLINEARITY, 1990, 3 (02) :231-259

[7]

DAHLQUIST G, 1976, NUMERICAL ANAL, P60

[8]

DEFRUTOS J, 1990, COMPUT METHOD APPL M, V80, P417, DOI 10.1016/0045-7825(90)90046-O

[9] SPLIT-STEP SPECTRAL SCHEMES FOR NONLINEAR DIRAC SYSTEMS [J].

DEFRUTOS, J ;

SANZSERNA, JM .

JOURNAL OF COMPUTATIONAL PHYSICS, 1989, 83 (02) :407-423

[10] CONSERVATION OF INTEGRALS AND SYMPLECTIC STRUCTURE IN THE INTEGRATION OF DIFFERENTIAL-EQUATIONS BY MULTISTEP METHODS [J].

EIROLA, T ;

SANZSERNA, JM .

NUMERISCHE MATHEMATIK, 1992, 61 (03) :281-290

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