NON-SIMPLE TURNING-POINTS AND CUSPS

被引：76

作者：

SPENCE, A ^{[1
]}

WERNER, B ^{[1
]}

机构：

[1] INST ANGEW MATH,D-2000 HAMBURG 13,FED REP GER

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 1982年 / 2卷 / 04期

关键词：

Nonlinear problems - Numerical computations - Numerical procedures - Parameter dependents - Simple++ - Thermal ignition - Turning-points - Two parameter;

D O I：

10.1093/imanum/2.4.413

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Stimulated by a problem in the theory of thermal ignition, we prove some results on non-simple turning points and corresponding cusps for two parameter-dependent non-linear problems. These results provide a theoretical basis for the numerical computation of non-simple turning points or cusps. The numerical procedure is illustrated for the thermal ignition problem. © 1982 Academic Pren Inc. (London) Limited.

引用

页码：413 / 427

页数：15

共 23 条

[1] FIXED-POINT EQUATIONS AND NONLINEAR EIGENVALUE PROBLEMS IN ORDERED BANACH-SPACES [J].

AMANN, H .

SIAM REVIEW, 1976, 18 (04) :620-709

[2] AN EXTENSION OF NEWTON-KANTOROVIC METHOD FOR SOLVING NONLINEAR EQUATIONS WITH AN APPLICATION TO ELASTICITY [J].

ANSELONE, PM ;

MOORE, RH .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1966, 13 (03) :476-&

[3]

BAZLEY NW, 1979, Z ANGEW MATH PHYS, V29, P971

[4] THERMAL EXPLOSIONS AND THE DISAPPEARANCE OF CRITICALITY AT SMALL ACTIVATION-ENERGIES - EXACT RESULTS FOR THE SLAB [J].

BODDINGTON, T ;

GRAY, P ;

ROBINSON, C .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1979, 368 (1735) :441-461

[5] FINITE DIMENSIONAL APPROXIMATION OF NON-LINEAR PROBLEMS .2. LIMIT POINTS [J].

BREZZI, F ;

RAPPAZ, J ;

RAVIART, PA .

NUMERISCHE MATHEMATIK, 1981, 37 (01) :1-28

[6]

BREZZI F, 1982, UNPUB NUMERICAL IMPE

[7]

CHOW SN, 1975, ARCH RATION MECH AN, V59, P159

[8]

CHU KW, 1980, DEFERRED CORRECTION

[9]

CRANDALL MG, 1973, ARCH RATION MECH AN, V52, P161, DOI 10.1007/BF00282325

[10]

DECKER DW, 1982, UNPUB PATH FOLLOWING

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