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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UNIFORM CONVERGENCE ANALYSIS OF FINITE DIFFERENCE METHOD FOR SEMILINEAR SINGULARLY PERTURBED PROBLEMS WITH INTEGRAL BOUNDARY CONDITIONS

Authorea ◽

10.22541/au.158801190.02560431 ◽

2020 ◽

Author(s):

Derya Arslan ◽

musa cakir

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Uniform Convergence ◽

Convergence Analysis ◽

Difference Method ◽

Integral Boundary Conditions ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Integral Boundary

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Uniform convergence analysis of hybrid numerical scheme for singularly perturbed problems of mixed type

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21884 ◽

2014 ◽

Vol 30 (6) ◽

pp. 1931-1960

Author(s):

Kaushik Mukherjee ◽

Srinivasan Natesan

Keyword(s):

Uniform Convergence ◽

Convergence Analysis ◽

Numerical Scheme ◽

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 Convergence Analysis of Finite Difference Scheme for Singularly Perturbed Delay Differential Equation on an Adaptively Generated Grid

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2009.m8015 ◽

2010 ◽

Vol 3 (1) ◽

pp. 1-22 ◽

Author(s):

Jugal Mohapatra and Srinivasan Natesan

Keyword(s):

Differential Equation ◽

Finite Difference ◽

Difference Scheme ◽

Uniform Convergence ◽

Convergence Analysis ◽

Delay Differential Equation ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Delay Differential

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Conditional ɛ-uniform convergence of adaptive algorithms in the finite element method as applied to singularly perturbed problems

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542510090022 ◽

2010 ◽

Vol 50 (9) ◽

pp. 1476-1493 ◽

Author(s):

I. A. Blatov ◽

N. V. Dobrobog

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Uniform Convergence ◽

Adaptive Algorithms ◽

Singularly Perturbed ◽

The Finite Element Method ◽

Singularly Perturbed Problems ◽

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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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A fractional step method for 2D parabolic convection-diffusion singularly perturbed problems: uniform convergence and order reduction

Numerical Algorithms ◽

10.1007/s11075-016-0221-9 ◽

2016 ◽

Vol 75 (3) ◽

pp. 809-826 ◽

Author(s):

C. Clavero ◽

J. C. Jorge

Keyword(s):

Uniform Convergence ◽

Order Reduction ◽

Singularly Perturbed ◽

Fractional Step ◽

Singularly Perturbed Problems ◽

Step Method ◽

Fractional Step Method ◽

Convection Diffusion

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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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Quasi‐uniform convergence analysis of a modified penalty finite element method for nonlinear singularly perturbed bi‐wave problem

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22607 ◽

2020 ◽

Author(s):

Yanmi Wu ◽

Dongyang Shi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Uniform Convergence ◽

Convergence Analysis ◽

Singularly Perturbed ◽

Wave Problem ◽

Penalty Finite Element Method ◽

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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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