ON MODULATIONAL INSTABILITIES IN DISCRETIZATIONS OF THE KORTEWEG-DEVRIES EQUATION

被引：6

作者：

SLOAN, DM

机构：

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1988年 / 79卷 / 01期

关键词：

D O I：

10.1016/0021-9991(88)90009-5

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

引用

收藏

页码：167 / 183

页数：17

相关论文

共 8 条

[1] DISINTEGRATION OF WAVE TRAINS ON DEEP WATER .1. THEORY [J].

BENJAMIN, TB ;

FEIR, JE .

JOURNAL OF FLUID MECHANICS, 1967, 27 :417-&

[2] FOCUSING - A MECHANISM FOR INSTABILITY OF NON-LINEAR FINITE-DIFFERENCE EQUATIONS [J].

BRIGGS, WL ;

NEWELL, AC ;

SARIE, T .

JOURNAL OF COMPUTATIONAL PHYSICS, 1983, 51 (01) :83-106

[3]

CLOOT AHJ, IN PRESS J COMPUT PH

[4]

CLOOT AHJ, UNPUB

[5] INSTABILITY OF LEAP-FROG AND CRANK-NICOLSON APPROXIMATIONS OF A NONLINEAR PARTIAL DIFFERENTIAL EQUATION [J].

FORNBERG, B .

MATHEMATICS OF COMPUTATION, 1973, 27 (121) :45-57

[6] AN EXPLICIT FINITE-DIFFERENCE SCHEME WITH EXACT CONSERVATION PROPERTIES [J].

SANZSERNA, JM .

JOURNAL OF COMPUTATIONAL PHYSICS, 1982, 47 (02) :199-210

[7] ON NONLINEAR INSTABILITIES IN LEAP-FROG FINITE-DIFFERENCE SCHEMES [J].

SLOAN, DM ;

MITCHELL, AR .

JOURNAL OF COMPUTATIONAL PHYSICS, 1986, 67 (02) :372-395

[8] STUDIES IN NUMERICAL NONLINEAR INSTABILITY .2. A NEW LOOK AT UT+UUX=0 [J].

VADILLO, F ;

SANZSERNA, JM .

JOURNAL OF COMPUTATIONAL PHYSICS, 1986, 66 (01) :225-238