ANALYTICAL AND NUMERICAL-METHODS FOR NON-LINEAR SINGULAR SINGULARLY-PERTURBED INITIAL VALUE-PROBLEMS

被引：32

作者：

OMALLEY, RE

FLAHERTY, JE

机构：

[1] UNIV ARIZONA,PROGRAM APPL MATH,TUCSON,AZ 85721

[2] RENSSELAER POLYTECH INST,DEPT MATH SCI,TROY,NY 12181

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1980年 / 38卷 / 02期

关键词：

D O I：

10.1137/0138020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：225 / 248

页数：24

共 35 条

[1]

BOGGS PT, 1977, 6 U N CAR OP RES SYS

[2] NUMERICAL TREATMENT OF ORDINARY DIFFERENTIAL EQUATIONS BY EXTRAPOLATION METHODS [J].

BULIRSCH, R ;

STOER, J .

NUMERISCHE MATHEMATIK, 1966, 8 (01) :1-&

[3]

CAFLISCH RE, 1978, THESIS NEW YORK U

[4] SINGULAR PERTURBATION OF AUTONOMOUS LINEAR-SYSTEMS [J].

CAMPBELL, SL ;

ROSE, NJ .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1979, 10 (03) :542-551

[5] METHOD FOR SOLVING CERTAIN STIFF DIFFERENTIAL-EQUATIONS [J].

CLASEN, RJ ;

GARFINKEL, D ;

SHAPIRO, NZ ;

ROMAN, GC .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1978, 34 (04) :732-742

[6]

COCHRAN J. A., 1972, ANAL LINEAR INTEGRAL

[7]

Enright W. H., 1975, BIT (Nordisk Tidskrift for Informationsbehandling), V15, P10, DOI 10.1007/BF01932994

[8]

ERDELYI A, 1964, ASYMPTOTIC SOLUTIONS, P211

[9]

ERDELYI A, 1975, INT C DIFF EQUATIONS, P266

[10]

Fife P., 1972, APPL ANAL, V1, P331

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