Download e-book for iPad: Difference Methods for Singular Perturbation Problems by Grigory I. Shishkin,Lidia P. Shishkina

By Grigory I. Shishkin,Lidia P. Shishkina

  Difference equipment for Singular Perturbation Problems makes a speciality of the improvement of sturdy distinction schemes for broad periods of boundary price difficulties. It justifies the ε-uniform convergence of those schemes and surveys the most recent methods very important for extra development in numerical equipment.

The first a part of the e-book explores boundary price difficulties for elliptic and parabolic reaction-diffusion and convection-diffusion equations in n-dimensional domain names with delicate and piecewise-smooth obstacles. The authors boost a method for developing and justifying ε uniformly convergent distinction schemes for boundary price issues of fewer regulations at the challenge information.

Containing details released in most cases within the final 4 years, the second one part specializes in issues of boundary layers and extra singularities generated via nonsmooth facts, unboundedness of the area, and the perturbation vector parameter. This half additionally stories either the answer and its derivatives with blunders which are autonomous of the perturbation parameters.

Co-authored via the author of the Shishkin mesh, this ebook provides a scientific, distinctive improvement of ways to build ε uniformly convergent finite distinction schemes for large periods of singularly perturbed boundary worth 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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