Multilevel Adaptive Methods for Partial Differential Equations - #6 In the Frontiers in Applied Mathematics

McCormick, Stephen F.

ISBN 10: 0898712475 / ISBN 13: 9780898712476

Edité par Society for Industrial & Applied Masthematics, Philadelphia, Pennsylvania, U.S.A., 1989

A propos de cet article

162 Pages Indexed. This book is intended as a practical handbook of the fundamental concepts for a class of multilevel adaptive methods which are designed for efficient adaptive discretization and solution of partial different euations. These methods are characterized by their use of a compoistie grid, which is nominally the union of various uniform grids. This nonuniform grid is where the PDE is discretized and solved, but the constituent uniform subgrids are where all of the actual computation takes place. ASYNCHRONOUSTHEORY Contents in Five Chapters: Introudction, The Finite Voume Element Method, Multigrid Methods, The Fast Adaptive Composite Grid Method, and The Asynchronous Fast Adaptive Composite Grid Method. N° de réf. du vendeur 14459

Détails bibliographiques

Titre : Multilevel Adaptive Methods for Partial ...

Éditeur : Society for Industrial & Applied Masthematics, Philadelphia, Pennsylvania, U.S.A.

Date d'édition : 1989

Reliure : Trade Paperback

Etat : Near Fine

A propos de ce titre

Synopsis :

Book by McCormick Stephen F

Présentation de l'éditeur:

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.