High-order accurate numerical methods for singularly perturbed problems

Difference Methods for Singular Perturbation Problems ◽

10.1201/9780203492413-17 ◽

2008 ◽

pp. 274-303

Keyword(s):

Numerical Methods ◽

Singularly Perturbed ◽

Singularly Perturbed Problems

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High-order numerical methods for one-dimensional parabolic singularly perturbed problems with regular layers

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20030 ◽

2004 ◽

Vol 21 (1) ◽

pp. 149-169 ◽

Author(s):

C. Clavero ◽

J. L. Gracia ◽

J. C. Jorge

Keyword(s):

Numerical Methods ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

One Dimensional

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High-order accurate numerical methods for singularly perturbed problems

Difference Methods for Singular Perturbation Problems - Monographs & Surveys in Pure & Applied Math ◽

10.1201/9780203492413.ch10 ◽

2008 ◽

pp. 259-288

Keyword(s):

Numerical Methods ◽

Singularly Perturbed ◽

Singularly Perturbed Problems

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Adaptive grids and high-order schemes for solving singularly-perturbed problems

Сибирский журнал вычислительной математики ◽

10.15372/sjnm20210106 ◽

2021 ◽

Keyword(s):

Singularly Perturbed ◽

Adaptive Grids ◽

Singularly Perturbed Problems ◽

High Order Schemes

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Uniform numerical methods on arbitrary meshes for singularly perturbed problems with discontinuous data

Applied Mathematics and Computation ◽

10.1016/s0096-3003(03)00751-3 ◽

2004 ◽

Vol 154 (3) ◽

pp. 815-833 ◽

Author(s):

Igor Boglaev

Keyword(s):

Numerical Methods ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Discontinuous Data

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Another uniform convergence analysis technique of some numerical methods for parabolic singularly perturbed problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.04.006 ◽

2015 ◽

Vol 70 (3) ◽

pp. 222-235 ◽

Author(s):

C. Clavero ◽

J.C. Jorge

Keyword(s):

Numerical Methods ◽

Uniform Convergence ◽

Convergence Analysis ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Analysis Technique

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Limitations of Richardson’s extrapolation for a high order fitted mesh method for self-adjoint singularly perturbed problems

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-009-0245-6 ◽

2009 ◽

Vol 32 (1) ◽

pp. 219-236 ◽

Author(s):

Justin B. Munyakazi ◽

Kailash C. Patidar

Keyword(s):

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Mesh Method ◽

Richardson’S Extrapolation

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A brief survey on numerical methods for solving singularly perturbed problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.09.059 ◽

2010 ◽

Vol 217 (8) ◽

pp. 3641-3716 ◽

Author(s):

Mohan K. Kadalbajoo ◽

Vikas Gupta

Keyword(s):

Numerical Methods ◽

Singularly Perturbed ◽

Singularly Perturbed Problems

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A high order uniformly convergent alternating direction scheme for time dependent reaction–diffusion singularly perturbed problems

Numerische Mathematik ◽

10.1007/s00211-007-0083-0 ◽

2007 ◽

Vol 107 (1) ◽

pp. 1-25 ◽

Author(s):

B. Bujanda ◽

C. Clavero ◽

J. L. Gracia ◽

J. C. Jorge

Keyword(s):

Reaction Diffusion ◽

Singularly Perturbed ◽

Time Dependent ◽

Singularly Perturbed Problems ◽

Alternating Direction ◽

Uniformly Convergent

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High-Order Time-Accurate Parallel Schemes for Parabolic Singularly Perturbed Problems with Convection

Computing ◽

10.1007/s006070170032 ◽

2001 ◽

Vol 66 (2) ◽

pp. 139-161 ◽

Author(s):

Pieter W. Hemker ◽

Grigorii I. Shishkin ◽

Lidia P. Shishkina

Keyword(s):

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

High Order Time

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Parameter-Uniform Numerical Methods for a Class of Singularly Perturbed Problems with a Neumann Boundary Condition

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/3-540-45262-1_35 ◽

2001 ◽

pp. 292-303 ◽

Author(s):

P. A. Farrell ◽

A. F. Hegart ◽

J. J. H. Miller ◽

E. O’Riordan ◽

G. I. Shishkin

Keyword(s):

Boundary Condition ◽

Numerical Methods ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Singularly Perturbed ◽

Singularly Perturbed Problems

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