NUMERICAL COMPUTATION OF BRANCH POINTS IN NON-LINEAR EQUATIONS

被引：144

作者：

SEYDEL, R

机构：

[1] Institut für Mathematik, Technische Universität München, München, D-8000

来源：

NUMERISCHE MATHEMATIK | 1979年 / 33卷 / 03期

关键词：

Subject Classifications: AMS(MOS): 65H10; CR:; 5.15;

D O I：

10.1007/BF01398649

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The numerical computation of branch points in systems of nonlinear equations is considered. A direct method is presented which requires the solution of one equation only. The branch points are indicated by suitable testfunctions. Numerical results of three examples are given. © 1979 Springer-Verlag.

引用

页码：339 / 352

页数：14

共 10 条

[1]

Abbott J.P., 1978, J COMPUT APPL MATH, V4, P19

[2]

Crandall M.G., 1971, J FUNCT ANAL, V8, P321, DOI DOI 10.1016/0022-1236(71)90015-2

[3] SOLUTION OF NON-LINEAR EQUATIONS AND OF DIFFERENTIAL-EQUATIONS WITH 2-POINT BOUNDARY-CONDITIONS [J].

HASELGROVE, CB .

COMPUTER JOURNAL, 1961, 4 :255-&

[4]

KELLER HB, 1977, APPLICATIONS BIFURCA

[5]

MEYERSPASCHE R, 1975, 6141 I PLASM REP

[6]

POENISCH G, 1977, 073077 TU DRESD BER

[7] NUMERICAL-METHODS FOR A CLASS OF FINITE DIMENSIONAL BIFURCATION PROBLEMS [J].

RHEINBOLDT, WC .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1978, 15 (01) :1-11

[8] NUMERICAL COMPUTATION OF BRANCH POINTS IN ORDINARY DIFFERENTIAL-EQUATIONS [J].

SEYDEL, R .

NUMERISCHE MATHEMATIK, 1979, 32 (01) :51-68

[9] METHOD FOR NUMERICAL DETERMINATION OF BIFURCATION STATES OF NONLINEAR-SYSTEMS OF EQUATIONS [J].

SIMPSON, RB .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1975, 12 (03) :439-451

[10]

STOER J, 1978, HEIDELBERGER TASCHEN, V114

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