Difference Methods for Singular Perturbation Problems

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Grigory Shishkin is well-known for his piecewise uniform meshes method (Shishkin meshes) developed over the last two decades, and the author of a Russian-language research thesis thus far unavailable in English. Difference Methods for Singular Perturbation Problems includes the reference material featured in the Russian original, along with a section containing an overview of recent advances in the field. This volume brings readers up-to-date in numerical and computational methods for analyzing convection-diffusion, boundary element, and fluid dynamics problems where the singular properties of a solution mean that smoothness is limited and therefore traditional methods would not apply.