Modification of a method for solving the multiparameter eigenvalue problem for systems of loosely coupled ordinary differential equations

被引：3

作者：

Kalinin, E. D. ^{[1
]}

机构：

[1] Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Moscow Oblast, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2013年 / 53卷 / 07期

关键词：

multiparameter eigenvalue problem; loosely coupled system of ordinary differential equations; numerical method for eigenvalue problems;

D O I：

10.1134/S0965542513070142

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A general method for solving the multiparameter eigenvalue problem for loosely coupled systems of ordinary differential equations is examined. Certain modifications of this method are proposed, and the results obtained by using the method in some applied problems are presented.

引用

页码：874 / 881

页数：8

共 10 条

[1]

Abramov A. A., 1989, SIAM J MATRIX ANAL A, V29, P119

[2]

Abramov A. A, 1962, USSR COMP MATH MATH, V1, P372

[3]

Abramov A. A., 1997, COMP MATH MATH PHYS, V37, P552

[4] EVALUATION OF LAME ANGULAR WAVE-FUNCTIONS BY SOLVING AUXILIARY DIFFERENTIAL-EQUATIONS [J].

ABRAMOV, AA ;

DYSHKO, AL ;

KONYUKHOVA, NB ;

LEVITINA, TV .

USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1989, 29 (03) :119-131

[5]

ABRAMOV AA, 1970, TEOR EKSP KHIM, V6, P384

[6] NUMERICAL-SOLUTION OF EIGENTUPLE-EIGENVECTOR PROBLEMS IN HILBERT SPACES BY A GRADIENT METHOD [J].

BLUM, EK ;

GELTNER, PB .

NUMERISCHE MATHEMATIK, 1978, 31 (03) :231-246

[7]

BLUM EK, 1978, J I MATH APPL, V22, P29

[8] A NUMERICAL TECHNIQUE FOR MULTIPARAMETER EIGENVALUE PROBLEMS [J].

BROWNE, PJ ;

SLEEMAN, BD .

IMA JOURNAL OF NUMERICAL ANALYSIS, 1982, 2 (04) :451-457

[9]

Levitina TV, 1999, COMP MATH MATH PHYS, V39, P1715

[10]

Ortega J., 1970, ITERATIVE SOLUTION O

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