Numerical methods for nonlinear two-parameter eigenvalue problems

被引：9

作者：

Plestenjak, Bor ^{[1
,2
]}

机构：

[1] Univ Ljubljana, IMFM, Jadranska 19, Ljubljana 1000, Slovenia

[2] Univ Ljubljana, Dept Math, Jadranska 19, Ljubljana 1000, Slovenia

来源：

BIT NUMERICAL MATHEMATICS | 2016年 / 56卷 / 01期

关键词：

Nonlinear two-parameter eigenvalue problem; Nonlinear eigenvalue problem; Inverse iteration; Residual inverse iteration; Successive linear approximation; Jacobi-Davidson method; Delay-differential equations;

D O I：

10.1007/s10543-015-0566-9

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We introduce nonlinear two-parameter eigenvalue problems and generalize several numerical methods for nonlinear eigenvalue problems to nonlinear two-parameter eigenvalue problems. As a motivation we consider the computation of critical delays of delay-differential equations with multiple delays.

引用

页码：241 / 262

页数：22

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