DAEs arising from traveling wave solutions of PDEs

被引：27

作者：

Campbell, SL ^{[1
]}

Marszalek, W ^{[1
]}

机构：

[1] N CAROLINA STATE UNIV, DEPT MATH, RALEIGH, NC 27695 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1997年 / 82卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

differential algebraic equation; DAE; traveling waves; equilibria; magnetohydrodynamics;

D O I：

10.1016/S0377-0427(97)00084-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The study of traveling waves for explicit and implicit PDEs can sometimes result in differential algebraic equations (DAEs) instead of ordinary differential equations. The advantages of using DAEs is discussed as are the implications of DAE theory for the study of traveling waves. A specific type of traveling wave that connects equilibria is examined in more detail. Specific examples are given.

引用

页码：41 / 58

页数：18

共 25 条

[1]

[Anonymous], RECENT DEV NUMERICAL

[2]

[Anonymous], 1989, NUMERICAL SOLUTION D

[3]

Brenan K.E., 1995, Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations

[4]

Campbell S., 1982, SINGULAR SYSTEMS DIF

[5]

Campbell S. L., 1980, Singular systems of differential equations

[6] HIGH-INDEX DIFFERENTIAL-ALGEBRAIC EQUATIONS [J].

CAMPBELL, SL .

MECHANICS OF STRUCTURES AND MACHINES, 1995, 23 (02) :199-222

[7] CONSTRAINT PRESERVING INTEGRATORS FOR GENERAL NONLINEAR HIGHER INDEX DAES [J].

CAMPBELL, SL ;

MOORE, E .

NUMERISCHE MATHEMATIK, 1995, 69 (04) :383-399

[8] LEAST-SQUARES COMPLETIONS FOR NONLINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS [J].

CAMPBELL, SL .

NUMERISCHE MATHEMATIK, 1993, 65 (01) :77-94

[9] LINEARIZATION OF DAES ALONG TRAJECTORIES [J].

CAMPBELL, SL .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1995, 46 (01) :70-84

[10] THE INDEX OF GENERAL NONLINEAR DAES [J].

CAMPBELL, SL ;

GEAR, CW .

NUMERISCHE MATHEMATIK, 1995, 72 (02) :173-196

← 1 2 3 →