A Conservative Uniformly Accurate Difference Method for a Singular Perturbation Problem in Conservation Form

Alan E. Berger

doi:10.1137/0723084

A Conservative Uniformly Accurate Difference Method for a Singular Perturbation Problem in Conservation Form

SIAM Journal on Numerical Analysis ◽

10.1137/0723084 ◽

1986 ◽

Vol 23 (6) ◽

pp. 1241-1253 ◽

Cited By ~ 13

Author(s):

Alan E. Berger

Keyword(s):

Singular Perturbation ◽

Difference Method ◽

Singular Perturbation Problem ◽

Perturbation Problem

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A difference method for non-self-adjoint singular perturbation problem of second order

Applied Mathematical Modelling ◽

10.1016/0307-904x(91)90064-v ◽

1991 ◽

Vol 15 (7) ◽

pp. 381-385 ◽

Cited By ~ 3

Author(s):

M. Stojanović

Keyword(s):

Singular Perturbation ◽

Difference Method ◽

Second Order ◽

Singular Perturbation Problem ◽

Perturbation Problem

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An analysis of a uniformly accurate difference method for a singular perturbation problem

Mathematics of Computation ◽

10.1090/s0025-5718-1981-0616361-0 ◽

1981 ◽

Vol 37 (155) ◽

pp. 79-79 ◽

Cited By ~ 63

Author(s):

Alan E. Berger ◽

Jay M. Solomon ◽

Melvyn Ciment

Keyword(s):

Singular Perturbation ◽

Difference Method ◽

Singular Perturbation Problem ◽

Perturbation Problem

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Fourth-order accurate difference method for the singular perturbation problem

Applied Mathematics and Mechanics ◽

10.1007/bf00189290 ◽

1997 ◽

Vol 18 (10) ◽

pp. 987-995

Author(s):

Liu Chuanhan

Keyword(s):

Singular Perturbation ◽

Fourth Order ◽

Difference Method ◽

Singular Perturbation Problem ◽

Perturbation Problem

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A difference method for singular perturbation problem of hyperbolic-parabolic partial differential equation

Applied Mathematics and Mechanics ◽

10.1007/bf01897059 ◽

1986 ◽

Vol 7 (2) ◽

pp. 161-169 ◽

Cited By ~ 1

Author(s):

Sheng Jin-reng

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Singular Perturbation ◽

Difference Method ◽

Singular Perturbation Problem ◽

Parabolic Partial Differential Equation ◽

Partial Differential ◽

Perturbation Problem

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Uniform difference method for a parameterized singular perturbation problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.07.068 ◽

2006 ◽

Vol 175 (1) ◽

pp. 89-100 ◽

Cited By ~ 10

Author(s):

G.M. Amiraliyev ◽

Mustafa Kudu ◽

Hakki Duru

Keyword(s):

Singular Perturbation ◽

Difference Method ◽

Singular Perturbation Problem ◽

Perturbation Problem

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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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Uniform difference method for a parameterized singular perturbation problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.10.025 ◽

2005 ◽

Author(s):

G AMIRALIYEV ◽

M KUDU ◽

H DURU

Keyword(s):

Singular Perturbation ◽

Difference Method ◽

Singular Perturbation Problem ◽

Perturbation Problem

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A comparative study on a singular perturbation problem with two singular boundary points

Applied Mathematics and Computation ◽

10.1016/s0096-3003(98)00006-x ◽

1999 ◽

Vol 99 (2-3) ◽

pp. 179-193 ◽

Cited By ~ 4

Author(s):

Abdul-Majid Wazwaz

Keyword(s):

Singular Perturbation ◽

Comparative Study ◽

Singular Perturbation Problem ◽

Singular Boundary ◽

Boundary Points ◽

Perturbation Problem

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Layer-adapted Meshes for Parameterized Singular Perturbation Problem

Procedia Engineering ◽

10.1016/j.proeng.2015.11.342 ◽

2015 ◽

Vol 127 ◽

pp. 539-544 ◽

Cited By ~ 2

Author(s):

D. Shakti ◽

J. Mohapatra

Keyword(s):

Singular Perturbation ◽

Singular Perturbation Problem ◽

Perturbation Problem

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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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