Multilevel Adaptive Methods for Partial Differential Equations

McCormick, Stephen F.

ISBN 10: 0898712475 / ISBN 13: 9780898712476

Published by Society for Industrial & Applied Mathematics, 1989

About this Item

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

Seller Inventory # 10021

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