By Grigory I. Shishkin,Lidia P. Shishkina
The first a part of the publication explores boundary worth difficulties for elliptic and parabolic reaction-diffusion and convection-diffusion equations in n-dimensional domain names with tender and piecewise-smooth limitations. The authors boost a method for developing and justifying ε uniformly convergent distinction schemes for boundary worth issues of fewer regulations at the challenge facts.
Containing info released more often than not within the final 4 years, the second one part makes a speciality of issues of boundary layers and extra singularities generated through nonsmooth facts, unboundedness of the area, and the perturbation vector parameter. This half additionally experiences either the answer and its derivatives with blunders which are self reliant of the perturbation parameters.
Co-authored through the writer of the Shishkin mesh, this ebook offers a scientific, particular improvement of ways to build ε uniformly convergent finite distinction schemes for large periods of singularly perturbed boundary price problems.
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Difference Methods for Singular Perturbation Problems (Monographs and Surveys in Pure and Applied Mathematics) by Grigory I. Shishkin,Lidia P. Shishkina
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