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An analysis of a superconvergence result for a singularly perturbed boundary value problem


Authors: Eugene O'Riordan and Martin Stynes
Journal: Math. Comp. 46 (1986), 81-92
MSC: Primary 65L10
DOI: https://doi.org/10.1090/S0025-5718-1986-0815833-8
MathSciNet review: 815833
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Abstract: We give a new proof that the El-Mistikawy and Werle finite-difference scheme is uniformly second-order accurate for a nonselfadjoint singularly perturbed boundary value problem. To do this, we use exponential finite elements and a discretized Green's function. The proof is direct, gives the nodal errors explicitly in integral form, and involves much less computation than in previous proofs of the result.


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DOI: https://doi.org/10.1090/S0025-5718-1986-0815833-8
Article copyright: © Copyright 1986 American Mathematical Society

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