Multilevel Adaptive Methods for Partial Differential Equations

McCormick, Stephen F.

ISBN 10: 0898712475 ISBN 13: 9780898712476

Published by Society for Industrial & Applied Mathematics, 1989

Language: English

Condition: Used - Very good Soft cover

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Softcover, near-new, no markings, no spine or cover creases, NOT ex-lib, slight shelf/edge wear, else Fine; 8vo; 162pp indexed.

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Bibliographic Details

Title

Multilevel Adaptive Methods for Partial Differential Equations

Publisher

Society for Industrial & Applied Mathematics

Publication Date

1989

Language

English

ISBN 10

0898712475

ISBN 13

9780898712476

Binding

Soft Cover

Edition

First Edition.

Condition

Very Good+

Seller catalogs

Science / Mathematics

About this title

Synopsis

A practical handbook for understanding and using fast adaptive composite grid (FAC) methods for discretization and solution of partial differential equations (PDEs). Contains fundamental concepts. These so-called FAC are characterized by their use of a composite grid, which is nominally the union of various uniform grids. FAC is capable of producing a composite grid with tailored resolution, and a corresponding solution with commensurate accuracy, at a cost proportional to the number of composite grid points. Moreover, special asynchronous versions of the fast adaptive composite grid methods (AFAC) studied here have seemingly optimal complexity in a parallel computing environment. Most of the methods treated in this book were discovered only within the last decade, and in many cases their development is still in its infancy. While this is not meant to be comprehensive, it does provide a theoretical and practical guide to multilevel adaptive methods and relevant discretization techniques.

Review

'Throughout, the theory is well illustrated by numerical examples based on the finite volume element discretization of a model linear elliptic equation; a nonlinear elliptic system; and a linear diffusion equation. Although no actual code is given, specific numerical results are supplied.' Mark Ainsworth, Mathematical Reviews

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