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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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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THE NUMERICAL SOLUTION OF A NEUMANN PROBLEM FOR PARABOLIC SINGULARLY PERTURBED EQUATIONS WITH HIGH-ORDER TIME ACCURACY

Recent Advances in Numerical Methods and Applications II ◽

10.1142/9789814291071_0003 ◽

1999 ◽

Author(s):

P.W. HEMKER ◽

G.I. SHISHKIN ◽

L.P. SHISHKINA

Keyword(s):

Numerical Solution ◽

Neumann Problem ◽

Singularly Perturbed ◽

Singularly Perturbed Equations ◽

High Order Time ◽

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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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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 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 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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Acceleration by Parallel Computations of Solving High-Order Time-Accurate Difference Schemes for Singularly Perturbed Convection-Diffusion Problems

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

10.1007/3-540-45262-1_46 ◽

2001 ◽

pp. 393-401

Author(s):

Pieter W. Hemker ◽

Grigorii I. Shishkin ◽

Lidia P. Shishkina

Keyword(s):

Parallel Computations ◽

Difference Schemes ◽

Singularly Perturbed ◽

Convection Diffusion ◽

High Order Time ◽

Diffusion 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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High order methods for elliptic and time dependent reaction–diffusion singularly perturbed problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.10.007 ◽

2005 ◽

Vol 168 (2) ◽

pp. 1109-1127 ◽

Author(s):

C. Clavero ◽

J.L. Gracia

Keyword(s):

Reaction Diffusion ◽

Singularly Perturbed ◽

Time Dependent ◽

Singularly Perturbed Problems ◽

High Order Methods

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Regularization of Integral Operators in Singularly Perturbed Problems Using Normal Forms

Vestnik MEI ◽

10.24160/1993-6982-2019-6-131-137 ◽

2019 ◽

Vol 6 ◽

pp. 131-137

Author(s):

Abdukhafiz A. Bobodzhanova ◽

◽

Valeriy F. Safonov ◽

Keyword(s):

Normal Forms ◽

Integral Operators ◽

Singularly Perturbed ◽

Singularly Perturbed Problems

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