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Layer Resolving Grids and Transformations for Singular Perturbation Problems (Hardcover, Reprint 2018)
Loot Price: R7,248
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Layer Resolving Grids and Transformations for Singular Perturbation Problems (Hardcover, Reprint 2018)
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The approach of layer-damping coordinate transformations to treat
singularly perturbed equations is a relatively new, and fast
growing area in the field of applied mathematics. This monograph
aims to present a clear, concise, and easily understandable
description of the qualitative properties of solutions to
singularly perturbed problems as well as of the essential elements,
methods and codes of the technology adjusted to numerical solutions
of equations with singularities by applying layer-damping
coordinate transformations and corresponding layer-resolving grids.
The first part of the book deals with an analytical study of
estimates of the solutions and their derivatives in layers of
singularities as well as suitable techniques for obtaining results.
In the second part, a technique for building the coordinate
transformations eliminating boundary and interior layers, is
presented. Numerical algorithms based on the technique which is
developed for generating layer-damping coordinate transformations
and their corresponding layer-resolving meshes are presented in the
final part of this volume. This book will be of value and interest
to researchers in computational and applied mathematics.
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