L 1 andL ? Uniform convergence of a difference scheme for a semilinear singular perturbation problem

Martin Stynes; Eugene O'Riordan

doi:10.1007/bf01408573

L 1 andL ? Uniform convergence of a difference scheme for a semilinear singular perturbation problem

Numerische Mathematik ◽

10.1007/bf01408573 ◽

1987 ◽

Vol 50 (5) ◽

pp. 519-531 ◽

Cited By ~ 11

Author(s):

Martin Stynes ◽

Eugene O'Riordan

Keyword(s):

Singular Perturbation ◽

Difference Scheme ◽

Uniform Convergence ◽

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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Exponential splines difference scheme for singular perturbation problem with mixed boundary conditions

Communications in Applied Numerical Methods ◽

10.1002/cnm.1630070809 ◽

1991 ◽

Vol 7 (8) ◽

pp. 625-632 ◽

Cited By ~ 5

Author(s):

M. Stojanović

Keyword(s):

Singular Perturbation ◽

Boundary Conditions ◽

Difference Scheme ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Singular Perturbation Problem ◽

Perturbation Problem

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A high accuracy difference scheme for the singular perturbation problem of the second-order linear ordinary differential equation in conservation form

Applied Mathematics and Mechanics ◽

10.1007/bf02019236 ◽

1989 ◽

Vol 10 (5) ◽

pp. 465-470 ◽

Cited By ~ 1

Author(s):

Wang Guo-ying

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Singular Perturbation ◽

Difference Scheme ◽

High Accuracy ◽

Linear Ordinary Differential Equation ◽

Singular Perturbation Problem ◽

Order Linear ◽

Perturbation Problem ◽

Accuracy Difference

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Uniform convergence of a singular perturbation problem

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160480101 ◽

2010 ◽

Vol 48 (1) ◽

pp. 1-12 ◽

Cited By ~ 42

Author(s):

Luis A. Caffarelli ◽

Antonio Córdoba

Keyword(s):

Singular Perturbation ◽

Uniform Convergence ◽

Singular Perturbation Problem ◽

Perturbation Problem

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A uniformly difference scheme of singular perturbation problem for a semilinear ordinary differential equation with mixed boundary value condition

Applied Mathematics and Mechanics ◽

10.1007/bf00122315 ◽

1996 ◽

Vol 17 (2) ◽

pp. 187-195

Author(s):

Bai Qingyuan ◽

Lin Pengcheng

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Singular Perturbation ◽

Difference Scheme ◽

Mixed Boundary ◽

Boundary Value ◽

Singular Perturbation Problem ◽

Boundary Value Condition ◽

Perturbation Problem

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Uniform fourth order difference scheme for a singular perturbation problem

Numerische Mathematik ◽

10.1007/bf01405196 ◽

1989 ◽

Vol 56 (7) ◽

pp. 675-693 ◽

Cited By ~ 28

Author(s):

Dragoslav Herceg

Keyword(s):

Singular Perturbation ◽

Difference Scheme ◽

Fourth Order ◽

Singular Perturbation Problem ◽

Order Difference ◽

Perturbation Problem

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Some aspects of non-uniform convergence in an elliptic singular perturbation problem

Journal of Engineering Mathematics ◽

10.1007/bf01535448 ◽

1975 ◽

Vol 9 (3) ◽

pp. 227-233

Author(s):

O. Diekmann

Keyword(s):

Singular Perturbation ◽

Uniform Convergence ◽

Singular Perturbation Problem ◽

Perturbation Problem

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Uniform convergence of discretization error for a singular perturbation problem

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199611)12:6<657::aid-num2>3.0.co;2-r ◽

1996 ◽

Vol 12 (6) ◽

pp. 657-671 ◽

Cited By ~ 14

Author(s):

P. Wesseling

Keyword(s):

Singular Perturbation ◽

Uniform Convergence ◽

Discretization Error ◽

Singular Perturbation Problem ◽

Perturbation Problem

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An error analysis for a difference scheme of exponential type applied to a nonlinear singular perturbation problem without turning points

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(86)90241-4 ◽

1986 ◽

Vol 15 (1) ◽

pp. 93-101 ◽

Cited By ~ 2

Author(s):

Koichi Niijima

Keyword(s):

Error Analysis ◽

Singular Perturbation ◽

Difference Scheme ◽

Exponential Type ◽

Turning Points ◽

Singular Perturbation Problem ◽

Perturbation Problem

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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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