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Using the Kellogg-Tsan Solution Decomposition in NumericalMethods for Singularly Perturbed Convection-Diffusion Problems

Abstract

The linear one-dimensional singularly perturbed convection-diffusion problem is solved numerically by a second-order method that is uniform in the perturbation parameter . The method uses the Kellogg-Tsan decomposition of the continuous solution. This increases the accuracy of the numerical results and simplifies the proof of their -uniformit

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This paper was published in Scholar Commons - Santa Clara University.

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