NUMERICAL-SOLUTION OF EIGENVALUE PROBLEMS FOR LINEAR BOUNDARY-VALUE ODES

被引：13

作者：

BRAMLEY, S

DIECI, L

RUSSELL, RD

机构：

[1] GEORGIA INST TECHNOL,SCH MATH,ATLANTA,GA 30332

[2] SIMON FRASER UNIV,DEPT MATH & STAT,BURNABY V5A 1S6,BC,CANADA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1991年 / 94卷 / 02期

基金：

加拿大自然科学与工程研究理事会; 美国国家科学基金会;

关键词：

D O I：

10.1016/0021-9991(91)90226-B

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Interrelationships between several popular approaches for solving eigenvalue problems for linear boundary value ODES are given. For linear eigenvalue problems, the popular methods can be interpreted in a common framework. This leads us to propose and justify alternative strategies. The choice of numerical methods used here is motivated by the desire to solve eigenvalue problems for stiff ODES. In particular, we consider a one-step global method (spline collocation) and two initial value methods (Riccati and continuous orthonormalization) to solve the Orr-Sommerfeld equation. A comparison of results for these methods, using various implementation strategies, is given. © 1991.

引用

页码：382 / 402

页数：21

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