CALCULATING THE EIGENVALUES OF ORDINARY DIFFERENTIAL-EQUATIONS

被引：0

作者：

ALGAZIN, SD

机构：

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 1995年 / 35卷 / 04期

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D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Numerical algorithms without saturation for calculating the eigenvalues and eigenfunctions of ordinary differential equations with smooth coefficients are considered. The results of different methods are discussed and an error estimate is given.

引用

页码：477 / 482

页数：6

共 10 条

[1]

ALGAZIN SD, 1983, SIB MAT ZH, V24, P3

[2]

ALGAZIN SD, 1975, 108 IPMAT AK NAUK SS

[3]

BABENKO KI, 1986, FUNDAMENTALS NUMERIC

[4]

Goncharov V. L., 1954, THEORY INTERPOLATION

[5] NUMERICAL APPROXIMATION OF EIGENVALUES OF STURM-LIOUVILLE SYSTEMS [J].

HARGRAVE, BA .

JOURNAL OF COMPUTATIONAL PHYSICS, 1976, 20 (04) :381-396

[6] BOUNDS FOR EIGENVALUES OF THE STURM-LIOUVILLE PROBLEM BY FINITE DIFFERENCE METHODS [J].

HUBBARD, BE .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1962, 10 (02) :171-179

[7]

MERCIER B, 1981, MATH COMPUT, V36, P427, DOI 10.1090/S0025-5718-1981-0606505-9

[8]

PRIKAZCHIKOV VG, 1964, ZH VYCHISL MAT MAT F, V4, P687

[9] DISCRETE CONVERGENCE OF LINEAR OPERATORS .2. [J].

STUMMEL, F .

MATHEMATISCHE ZEITSCHRIFT, 1971, 120 (03) :231-&

[10]

Vainikko G.M., 1964, Z VYCISL MAT MAT FIZ, V4, P405

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