Analysis of some difference approximations for a singular perturbation problem without turning points

Mathematics of Computation ◽

10.1090/s0025-5718-1978-0483484-9 ◽

1978 ◽

Vol 32 (144) ◽

pp. 1025-1025 ◽

Author(s):

R. Bruce Kellogg ◽

Alice Tsan

Keyword(s):

Singular Perturbation ◽

Turning Points ◽

Singular Perturbation Problem ◽

Perturbation Problem ◽

Difference Approximations

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Numerical solution of a singular perturbation problem with turning points

Lecture Notes in Mathematics - Equadiff 82 ◽

10.1007/bfb0103269 ◽

1983 ◽

pp. 432-439 ◽

Author(s):

J. Lorenz

Keyword(s):

Singular Perturbation ◽

Numerical Solution ◽

Turning Points ◽

Singular Perturbation Problem ◽

Perturbation Problem

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Strong uniform stability and exact discretizations of a model singular perturbation problem and its finite-difference approximations

10.1145/101007.101051 ◽

1989 ◽

Author(s):

E. C. Gartland

Keyword(s):

Finite Difference ◽

Singular Perturbation ◽

Singular Perturbation Problem ◽

Uniform Stability ◽

Finite Difference Approximations ◽

Perturbation Problem ◽

Difference Approximations

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Strong uniform stability and exact discretizations of a model singular perturbation problem and its finite-difference approximations

Applied Mathematics and Computation ◽

10.1016/0096-3003(89)90135-5 ◽

1989 ◽

Vol 31 ◽

pp. 473-485 ◽

Author(s):

Eugene C. Gartland

Keyword(s):

Finite Difference ◽

Singular Perturbation ◽

Singular Perturbation Problem ◽

Uniform Stability ◽

Finite Difference Approximations ◽

Perturbation Problem ◽

Difference Approximations

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On a singular perturbation problem with two second-order turning points

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.01.040 ◽

2006 ◽

Vol 190 (1-2) ◽

pp. 287-303 ◽

Author(s):

Heping Yang

Keyword(s):

Singular Perturbation ◽

Turning Points ◽

Second Order ◽

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 ◽

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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Difference Approximation for a Singular Perturbation Problem with Turning Points

Analytical and Numerical Approaches to Asymptotic Problems in Analysis, Proceedings ofthe Conference on Analytical and Numerical Approachesto Asymptotic Problems - North-Holland Mathematics Studies ◽

10.1016/s0304-0208(08)71106-x ◽

1981 ◽

pp. 133-139 ◽

Author(s):

R. Bruce Kellogg

Keyword(s):

Singular Perturbation ◽

Turning Points ◽

Singular Perturbation Problem ◽

Difference Approximation ◽

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 ◽

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 ◽

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 ◽

Author(s):

Liu Guoqing ◽

Su Yucheng

Keyword(s):

Differential Equation ◽

Singular Perturbation ◽

Difference Scheme ◽

Singular Perturbation Problem ◽

Elliptic Differential Equation ◽

Perturbation Problem ◽

Uniformly Convergent ◽

Convergent Difference Scheme

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How many jumps? Variational characterization of the limit solution of a singular perturbation problem

Lecture Notes in Mathematics - Geometrical Approaches to Differential Equations ◽

10.1007/bfb0089980 ◽

1980 ◽

pp. 159-180 ◽

Author(s):

O. Diekmann ◽

D. Hilhorst

Keyword(s):

Singular Perturbation ◽

Singular Perturbation Problem ◽

Variational Characterization ◽

Perturbation Problem ◽

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