Uniform convergent methods on arbitrary meshes for singularly perturbed problems with piecewise smooth coefficients

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Date
2002
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Open Access Location
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Massey University
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Abstract
This paper deals with uniform convergent methods for solving singularly perturbed two-point boundary value problems with piecewise smooth coefficients. Construction of the numerical methods is based on locally exact schemes or on local Green’s functions. Uniform convergent properties of the proposed methods on arbitrary meshes are proven. Numerical experiments are presented.
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Keywords
Uniform convergence
Citation
Boglaev, I. (2002), Uniform convergent methods on arbitrary meshes for singularly perturbed problems with piecewise smooth coefficients, Research Letters in the Information and Mathematical Sciences, 3, 1-14