INITIAL VALUE METHOD FOR EIGENVALUE PROBLEMS USING COMPOUND MATRICES

被引：98

作者：

NG, BS ^{[1
]}

REID, WH ^{[1
]}

机构：

[1] UNIV CHICAGO,CHICAGO,IL 60637

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1979年 / 30卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0021-9991(79)90091-3

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

An initial value method, based on the use of certain compound matrices, is presented for the treatment of eigenvalue problems for stiff ordinary differential equations. The method appears to overcome not only the parasitic growth problems associated with standard shooting methods but also the difficulties, due to the presence of singularities, of the Riccati method. Two examples are given to illustrate, both analytically and numerically, the essential features of the method. © 1979.

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页码：125 / 136

页数：12

相关论文

共 11 条

[1] REMOVAL OF THE SINGULARITIES FROM THE RICCATI METHOD [J].

DAVEY, A .

JOURNAL OF COMPUTATIONAL PHYSICS, 1979, 30 (01) :137-144

[2]

GERSTING JM, COMP MATH APPL

[3] PROPAGATOR MATRICES IN ELASTIC WAVE AND VIBRATION PROBLEMS [J].

GILBERT, F ;

BACKUS, GE .

GEOPHYSICS, 1966, 31 (02) :326-&

[4] INVARIANT IMBEDDING AND CRITICAL LENGTH PROBLEMS [J].

GOLBERG, MA .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1977, 14 (01) :152-160

[5] APPROXIMATIONS TO EIGENVALUE RELATION FOR ORR-SOMMERFELD PROBLEM [J].

LAKIN, WD ;

REID, WH .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1978, 289 (1360) :347-371

[6] ON THE CHOICE OF STANDARD SOLUTIONS FOR A HOMOGENEOUS LINEAR DIFFERENTIAL EQUATION OF THE 2ND ORDER [J].

MILLER, JCP .

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1950, 3 (02) :225-235

[7] ACCURATE SOLUTION OF ORR-SOMMERFELD STABILITY EQUATION [J].

ORSZAG, SA .

JOURNAL OF FLUID MECHANICS, 1971, 50 (DEC29) :689-+

[8] EIGENFUNCTIONS OF SYSTEMS OF LINEAR ORDINARY DIFFERENTIAL-EQUATIONS WITH SEPARATED BOUNDARY-CONDITIONS USING RICCATI TRANSFORMATIONS [J].

SLOAN, DM .

JOURNAL OF COMPUTATIONAL PHYSICS, 1977, 24 (03) :320-330

[9]

SLOAN DM, 1976, J I MATH APPL, V18, P117

[10] THE STABILITY OF PLANE POISEUILLE FLOW [J].

THOMAS, LH .

PHYSICAL REVIEW, 1953, 91 (04) :780-783