An Adaptive Uniformly Convergent Numerical Method for a Semilinear Singular Perturbation Problem

Martin Stynes

doi:10.1137/0726025

An Adaptive Uniformly Convergent Numerical Method for a Semilinear Singular Perturbation Problem

SIAM Journal on Numerical Analysis ◽

10.1137/0726025 ◽

1989 ◽

Vol 26 (2) ◽

pp. 442-455 ◽

Cited By ~ 4

Author(s):

Martin Stynes

Keyword(s):

Singular Perturbation ◽

Numerical Method ◽

Singular Perturbation Problem ◽

Perturbation Problem ◽

Uniformly Convergent

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A uniformly convergent difference scheme for the singular perturbation problem of a high order elliptic differential equation

Applied Mathematics and Mechanics ◽

10.1007/bf00131089 ◽

1996 ◽

Vol 17 (5) ◽

pp. 413-421 ◽

Cited By ~ 1

Author(s):

Liu Guoqing ◽

Su Yucheng

Keyword(s):

Differential Equation ◽

Singular Perturbation ◽

Difference Scheme ◽

High Order ◽

Singular Perturbation Problem ◽

Elliptic Differential Equation ◽

Perturbation Problem ◽

Uniformly Convergent ◽

Convergent Difference Scheme

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A uniform numerical method for quasilinear singular perturbation problem with a turning point

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/bf02662498 ◽

1995 ◽

Vol 10 (4) ◽

pp. 427-438

Author(s):

Guoqing Liu

Keyword(s):

Singular Perturbation ◽

Numerical Method ◽

Turning Point ◽

Singular Perturbation Problem ◽

Perturbation Problem

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The uniformly convergent difference schemes for a singular perturbation problem of a self-adjoint ordinary differential equation

Applied Mathematics and Mechanics ◽

10.1007/bf02018490 ◽

1989 ◽

Vol 10 (1) ◽

pp. 35-44

Author(s):

Lin Peng-cheng ◽

Guo Wen

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Singular Perturbation ◽

Singular Perturbation Problem ◽

Difference Schemes ◽

Perturbation Problem ◽

Uniformly Convergent

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Uniformly convergent C 0 -nonconforming triangular prism element for fourth-order elliptic singular perturbation problem

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21878 ◽

2014 ◽

Vol 30 (6) ◽

pp. 1785-1796 ◽

Cited By ~ 4

Author(s):

Hongru Chen ◽

Shaochun Chen ◽

Liuchao Xiao

Keyword(s):

Singular Perturbation ◽

Fourth Order ◽

Singular Perturbation Problem ◽

Triangular Prism ◽

Perturbation Problem ◽

Uniformly Convergent

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An analysis of a uniformly convergent finite difference/finite element scheme for a model singular-perturbation problem

Mathematics of Computation ◽

10.1090/s0025-5718-1988-0942145-6 ◽

1988 ◽

Vol 51 (183) ◽

pp. 93-93 ◽

Cited By ~ 10

Author(s):

Eugene C. Gartland

Keyword(s):

Finite Element ◽

Finite Difference ◽

Singular Perturbation ◽

Singular Perturbation Problem ◽

Finite Element Scheme ◽

Element Scheme ◽

Perturbation Problem ◽

Uniformly Convergent

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Uniformly convergent difference schemes for singular perturbation problem

Applied Mathematics and Mechanics ◽

10.1007/bf01895377 ◽

1985 ◽

Vol 6 (5) ◽

pp. 401-407

Author(s):

Wu Chi-kuang

Keyword(s):

Singular Perturbation ◽

Singular Perturbation Problem ◽

Difference Schemes ◽

Perturbation Problem ◽

Uniformly Convergent

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Uniformly convergent difference method for the convection-diffusion singular perturbation problem in a curved boundary region

Applied Mathematics and Mechanics ◽

10.1007/bf01900707 ◽

1986 ◽

Vol 7 (3) ◽

pp. 269-278 ◽

Cited By ~ 1

Author(s):

Sheng Qin

Keyword(s):

Singular Perturbation ◽

Difference Method ◽

Boundary Region ◽

Singular Perturbation Problem ◽

Curved Boundary ◽

Convection Diffusion ◽

Perturbation Problem ◽

Uniformly Convergent

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A uniformly convergent difference scheme for a semilinear singular perturbation problem

Numerische Mathematik ◽

10.1007/bf01390122 ◽

1984 ◽

Vol 43 (2) ◽

pp. 175-198 ◽

Cited By ~ 17

Author(s):

Koichi Niijima

Keyword(s):

Singular Perturbation ◽

Difference Scheme ◽

Singular Perturbation Problem ◽

Perturbation Problem ◽

Uniformly Convergent ◽

Convergent Difference Scheme

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A numerical method for a singular perturbation problem arising in the modelling of plasma sheaths

International Journal of Computing Science and Mathematics ◽

10.1504/ijcsm.2007.016539 ◽

2007 ◽

Vol 1 (2/3/4) ◽

pp. 322

Author(s):

R.K. Dunne ◽

E. O'Riordan ◽

M.M. Turner

Keyword(s):

Singular Perturbation ◽

Numerical Method ◽

Singular Perturbation Problem ◽

Perturbation Problem ◽

Plasma Sheaths

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An optimal uniformly convergent oci difference scheme for a singular perturbation problem∗

International Journal of Computer Mathematics ◽

10.1080/00207169008803926 ◽

1990 ◽

Vol 36 (3-4) ◽

pp. 239-250 ◽

Cited By ~ 3

Author(s):

Katarina Surla ◽

Zorica Uzelac

Keyword(s):

Singular Perturbation ◽

Difference Scheme ◽

Singular Perturbation Problem ◽

Perturbation Problem ◽

Uniformly Convergent

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