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 ◽

10.1201/9780203492413-17 ◽

2008 ◽

pp. 274-303

Keyword(s):

Numerical Methods ◽

Singularly Perturbed ◽

Singularly Perturbed Problems

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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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Fitted Numerical Methods for Singularly Perturbed One-Dimensional Parabolic Partial Differential Equations with Small Shifts Arising in the Modelling of Neuronal Variability

Differential Equations and Dynamical Systems ◽

10.1007/s12591-017-0363-9 ◽

2017 ◽

Vol 27 (1-3) ◽

pp. 1-18 ◽

Author(s):

R. Nageshwar Rao ◽

P. Pramod Chakravarthy

Keyword(s):

Partial Differential Equations ◽

Numerical Methods ◽

Differential Equations ◽

Singularly Perturbed ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

One Dimensional

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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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Numerical Methods of High Order Accuracy for One-Dimensional Diffusion Equation

Nuclear Science and Engineering ◽

10.13182/nse73-a28971 ◽

1973 ◽

Vol 50 (3) ◽

pp. 185-199 ◽

Author(s):

J. P. Hennart

Keyword(s):

Numerical Methods ◽

Diffusion Equation ◽

High Order Accuracy ◽

Order Accuracy ◽

One Dimensional ◽

Dimensional Diffusion

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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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Finite element superconvergence approximation for one-dimensional singularly perturbed problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10001 ◽

2002 ◽

Vol 18 (3) ◽

pp. 374-395 ◽

Author(s):

Zhimin Zhang

Keyword(s):

Finite Element ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

One Dimensional

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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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Finite Volume Superconvergence Approximation for One-Dimensional Singularly Perturbed Problems

Journal of Computational Mathematics ◽

10.4208/jcm.1304-m4280 ◽

2013 ◽

Vol 31 (5) ◽

pp. 488-508 ◽

Author(s):

Waixiang Cao

Keyword(s):

Finite Volume ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

One Dimensional

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