Numerical methods for nonlinear two-parameter eigenvalue problems

被引：0

作者：

Bor Plestenjak

机构：

[1] University of Ljubljana,IMFM and Department of Mathematics

来源：

BIT Numerical Mathematics | 2016年 / 56卷

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; 65F15; 15A18; 15A69; 47J10;

D O I：

暂无

中图分类号：

学科分类号：

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：21

共 50 条

[1] Numerical methods for nonlinear two-parameter eigenvalue problems
Plestenjak, Bor
[J]. BIT NUMERICAL MATHEMATICS, 2016, 56 (01) : 241 - 262
[2] Two-parameter nonlinear eigenvalue problems
Gritsans, Armands
Sadyrbaev, Felix
Sergejeva, Natalija
[J]. MATHEMATICAL MODELS IN ENGINEERING, BIOLOGY AND MEDICINE, 2009, 1124 : 185 - +
[3] Variational method in nonlinear two-parameter eigenvalue problems
Shibata, T
[J]. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1997, 11B (03): : 539 - 562
[4] Numerical solution of some two-parameter eigenvalue problems
Podlevskyi B.M.
[J]. Journal of Mathematical Sciences, 2010, 165 (2) : 214 - 220
[5] NONLINEARIZING TWO-PARAMETER EIGENVALUE PROBLEMS
Ringh, Emil
Jarlebring, Elias
[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2021, 42 (02) : 775 - 799
[6] Two-Parameter Eigenvalue Problems in Nonlinear Second Order Differential Equations
Shibata T.
[J]. Results in Mathematics, 1997, 31 (1-2) : 136 - 147
[7] Jacobi-Davidson methods for polynomial two-parameter eigenvalue problems
Hochstenbach, Michiel E.
Muhic, Andrej
Plestenjak, Bor
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 288 : 251 - 263
[8] A homotopy algorithm for two-parameter eigenvalue problems
Shimasaki, M
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, 76 : 675 - 676
[9] The effect of the variational framework on the spectral asymptotics for two-parameter nonlinear eigenvalue problems
Shibata, T
[J]. MATHEMATISCHE NACHRICHTEN, 2003, 248 : 168 - 184
[10] SOME COMPUTATIONAL ASPECTS OF ALGORITHMS FOR SOLVING NONLINEAR TWO-PARAMETER EIGENVALUE PROBLEMS
Podlevskyi, B. M.
[J]. JOURNAL OF NUMERICAL AND APPLIED MATHEMATICS, 2010, 1 (100): : 100 - 110

← 1 2 3 4 5 →