Multilevel Adaptive Methods for Partial Differential Equations

McCormick, Stephen F.

ISBN 10: 0898712475 / ISBN 13: 9780898712476

Published by Society for Industrial and Applied Mathematics (SIAM), 1987

About this Item

First Edition, First Printing. Published by S.I.A.M., 1989. Octavo. Book is very good with very light toning to the page ends, and a few light scuffs to the front cover. 100% positive feedback. 30 day money back guarantee. NEXT DAY SHIPPING! Excellent customer service. Please email with any questions or if you would like a photo. All books packed carefully and ship with free delivery confirmation/tracking. All books come with free bookmarks. Ships from Sag Harbor, New York.

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Bibliographic Details

• Title: Multilevel Adaptive Methods for Partial Differential Equations
• Publisher: Society for Industrial and Applied Mathematics (SIAM)
• Publication Date: 1987
• Language: English
• ISBN 10: 0898712475
• ISBN 13: 9780898712476
• Binding: Trade Paperback
• Edition: First Edition.
• Condition: Very Good
• Seller catalogs:
  • Science & Nature

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