NUMERICAL COMPUTATION OF BRANCH POINTS IN ORDINARY DIFFERENTIAL-EQUATIONS

被引：50

作者：

SEYDEL, R

机构：

[1] Mathematisches Institut, Technische Universität München, München, D-8000

来源：

NUMERISCHE MATHEMATIK | 1979年 / 32卷 / 01期

关键词：

Subject Classifications: AMS (MOS): 65L10; CR:; 5.17;

D O I：

10.1007/BF01397649

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the computation of branch points in ordinary differential equations. A direct numerical method is presented which requires the solution of only one boundary value problem. The method handles the general case of branching from a nontrivial solution which is a-priori unknown. A testfunction is proposed which may indicate branching if used in continuation methods. Several real-life problems demonstrate the procedure. © 1979 Springer-Verlag.

引用

页码：51 / 68

页数：18

共 24 条

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KOSLOWSKI R, 1975, THESIS U KOLN

[12] SOLUTION OF NONLINEAR BOUNDARY-VALUE PROBLEMS .9. EVALUATION OF BRANCHING POINTS BASED ON DIFFERENTIATION WITH RESPECT TO BOUNDARY-CONDITIONS [J].