Collocation methods for continuation problems in non-linear elliptic PDEs

被引：0

作者：

Doedel, E ^{[1
]}

Sharifi, H ^{[1
]}

机构：

[1] Concordia Univ, Dept Comp Sci, Montreal, PQ H3G 1M8, Canada

来源：

CONTINUATION METHODS IN FLUID DYNAMICS | 2000年 / 74卷

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new class of collocation methods for nonlinear elliptic partial differential equations is described in the context of numerical continuation studies. It is shown how the methods are well-suited for a nested dissection solution algorithm, thereby reducing computational complexity. Numerical results are given to illustrate the accuracy of the methods.

引用

页码：105 / 118

页数：14

共 17 条

[1]

[Anonymous], 1997, AUTO 97: Continuation and Bifurcation Software for Ordinary Differential Equations, user's Manual

[2]

ASCHER U, 1979, MATH COMPUT, V33, P659, DOI 10.1090/S0025-5718-1979-0521281-7

[3]

Ascher U.M., 1988, NUMERICAL SOLUTION B

[4] COLLOCATION SOFTWARE FOR BOUNDARY-VALUE DIFFERENTIAL-ALGEBRAIC EQUATIONS [J].

ASCHER, UM ;

SPITERI, RJ .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1994, 15 (04) :938-952

[5] H(1)-NORM ERROR-BOUNDS FOR PIECEWISE HERMITE BICUBIC ORTHOGONAL SPLINE COLLOCATION SCHEMES FOR ELLIPTIC BOUNDARY-VALUE-PROBLEMS [J].

BIALECKI, B ;

CAI, XC .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1994, 31 (04) :1128-1146

[6]

BIALECKI B, 1997, SIAM J NUMER ANAL

[7]

CHRISTARA CC, 1988, THESIS PURDUE U IN

[8] COLLOCATION AT GAUSSIAN POINTS [J].

DEBOOR, C ;

SWARTZ, B .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1973, 10 (04) :582-606

[9] Nonlinear numerics [J].

Doedel, EJ .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1997, 334B (5-6) :1049-1073

[10]

DOEDEL EJ, 1997, J DIFFER EQU APPL, V3, P389

← 1 2 →