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

Xiao Aiguo; Li Shoufu; Fu Hongyuan; Chen Guangnan

doi:10.1007/bf02669574

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 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 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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Study of the NIPG method for two–parameter singular perturbation problems on several layer adapted grids

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-020-01334-7 ◽

2020 ◽

Vol 63 (1-2) ◽

pp. 683-705

Author(s):

Gautam Singh ◽

Srinivasan Natesan

Keyword(s):

Singular Perturbation ◽

Singular Perturbation Problems ◽

Perturbation Problems ◽

Two Parameter

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ON TWO PARAMETER ALTERNATING GROUP EXPLICIT (TAGE) METHOD FOR SINGULAR PERTURBATION PROBLEMS

Parallel Algorithms and Applications ◽

10.1080/10637199608915607 ◽

1996 ◽

Vol 10 (1-2) ◽

pp. 71-77 ◽

Cited By ~ 5

Author(s):

K. S. SUKON

Keyword(s):

Singular Perturbation ◽

Singular Perturbation Problems ◽

Alternating Group ◽

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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