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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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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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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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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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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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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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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Asymptotic and Numerical Methods for Singularly Perturbed Differential Equations with Applications to Impact Problems.

10.21236/ada169251 ◽

1986 ◽

Author(s):

Joseph E. Flaherty ◽

Robert E. O'Malley

Keyword(s):

Numerical Methods ◽

Differential Equations ◽

Singularly Perturbed ◽

Impact Problems

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An Efficient Hybrid Numerical Scheme for Singularly Perturbed Problems of Mixed Parabolic-Elliptic Type

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

10.1007/978-3-642-41515-9_46 ◽

2013 ◽

pp. 411-419 ◽

Author(s):

Kaushik Mukherjee ◽

Srinivasan Natesan

Keyword(s):

Numerical Scheme ◽

Singularly Perturbed ◽

Elliptic Type ◽

Singularly Perturbed Problems

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Chapter 1. Introduction To Singularly Perturbed Problems

Layer Resolving Grids and Transformations for Singular Perturbation Problems ◽

10.1515/9783110941944-002 ◽

2001 ◽

pp. 1-36

Keyword(s):

Singularly Perturbed ◽

Singularly Perturbed Problems

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