Convergence Results of One-Leg and Linear Multistep Methods for Multiply Stiff Singular Perturbation Problems

Aiguo Xiao; Chengming Huang; Siqing Gan

doi:10.1007/s006070170020

Convergence Results of One-Leg and Linear Multistep Methods for Multiply Stiff Singular Perturbation Problems

Computing ◽

10.1007/s006070170020 ◽

2001 ◽

Vol 66 (4) ◽

pp. 365-375 ◽

Cited By ~ 5

Author(s):

Aiguo Xiao ◽

Chengming Huang ◽

Siqing Gan

Keyword(s):

Singular Perturbation ◽

Multistep Methods ◽

Singular Perturbation Problems ◽

Linear Multistep Methods ◽

Convergence Results ◽

Perturbation Problems

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Convergence of linear multistep methods for two-parameter singular perturbation problems

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/bf02669574 ◽

2001 ◽

Vol 17 (2) ◽

pp. 207-217 ◽

Cited By ~ 1

Author(s):

Xiao Aiguo ◽

Li Shoufu ◽

Fu Hongyuan ◽

Chen Guangnan

Keyword(s):

Singular Perturbation ◽

Multistep Methods ◽

Singular Perturbation Problems ◽

Linear Multistep Methods ◽

Perturbation Problems ◽

Two Parameter

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Errors of linear multistep methods and Runge-Kutta methods for singular perturbation problems with delays

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(02)00223-7 ◽

2002 ◽

Vol 44 (8-9) ◽

pp. 1157-1173 ◽

Cited By ~ 1

Author(s):

Siqing Gan ◽

Geng Sun ◽

Weimin Zheng

Keyword(s):

Singular Perturbation ◽

Multistep Methods ◽

Singular Perturbation Problems ◽

Linear Multistep Methods ◽

Runge Kutta ◽

Perturbation Problems

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Convergence results for general linear methods on singular perturbation problems

BIT Numerical Mathematics ◽

10.1007/bf01990542 ◽

1993 ◽

Vol 33 (4) ◽

pp. 670-686 ◽

Cited By ~ 11

Author(s):

Stefan Schneider

Keyword(s):

Singular Perturbation ◽

General Linear Methods ◽

Singular Perturbation Problems ◽

General Linear ◽

Convergence Results ◽

Perturbation Problems

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Convergence results of two-step W-methods for two-parameter singular perturbation problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.11.131 ◽

2007 ◽

Vol 189 (1) ◽

pp. 669-681 ◽

Cited By ~ 2

Author(s):

Jialan Liu ◽

Aiguo Xiao

Keyword(s):

Singular Perturbation ◽

Singular Perturbation Problems ◽

Convergence Results ◽

Perturbation Problems ◽

Two Parameter

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Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00281135 ◽

1966 ◽

Vol 23 (1) ◽

pp. 26-86 ◽

Cited By ~ 125

Author(s):

W. Eckhaus ◽

E. M. de Jager

Keyword(s):

Differential Equations ◽

Singular Perturbation ◽

Singular Perturbation Problems ◽

Linear Differential Equations ◽

Asymptotic Solutions ◽

Elliptic Type ◽

Linear Differential ◽

Perturbation Problems

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Some switching schemes for quasilinear singular perturbation problems

Applied Numerical Mathematics ◽

10.1016/0168-9274(92)90011-2 ◽

1992 ◽

Vol 9 (2) ◽

pp. 143-155 ◽

Cited By ~ 1

Author(s):

R. Vulanović

Keyword(s):

Singular Perturbation ◽

Singular Perturbation Problems ◽

Perturbation Problems

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Non-standard difference schemes for singular perturbation problems revisited

Applied Mathematics and Computation ◽

10.1016/s0096-3003(97)10025-x ◽

1998 ◽

Vol 92 (2-3) ◽

pp. 101-123 ◽

Cited By ~ 3

Author(s):

T.N. Varner ◽

S.Roy Choudhury

Keyword(s):

Singular Perturbation ◽

Difference Schemes ◽

Singular Perturbation Problems ◽

Standard Difference ◽

Perturbation Problems

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A numerical method for quasilinear singular perturbation problems with turning points

Computing ◽

10.1007/bf02239169 ◽

1991 ◽

Vol 46 (2) ◽

pp. 155-164 ◽

Cited By ~ 11

Author(s):

P. Lin

Keyword(s):

Singular Perturbation ◽

Numerical Method ◽

Turning Points ◽

Singular Perturbation Problems ◽

Perturbation Problems

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A uniform numerical method for quasilinear singular perturbation problems without turning points

Computing ◽

10.1007/bf02238732 ◽

1989 ◽

Vol 41 (1-2) ◽

pp. 97-106 ◽

Cited By ~ 31

Author(s):

R. Vulanović

Keyword(s):

Singular Perturbation ◽

Numerical Method ◽

Turning Points ◽

Singular Perturbation Problems ◽

Perturbation Problems

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The Use of Defect Correction for the Solution of Parabolic Singular Perturbation Problems

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19970770111 ◽

1997 ◽

Vol 77 (1) ◽

pp. 59-74 ◽

Cited By ~ 18

Author(s):

P. W. Hemker ◽

G. I. Shishkin ◽

L. P. Shishkina

Keyword(s):

Singular Perturbation ◽

Singular Perturbation Problems ◽

Defect Correction ◽

Perturbation Problems

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