Multilevel Adaptive Methods for Partial Differential Equations
By addebook • Nov 20th, 2008 • Category: Mathematics
Multilevel Adaptive Methods for Partial Differential Equations (Frontiers in Applied Mathematics)
by Stephen F. McCormick
Multilevel Adaptive Methods for Partial Differential Equations (Frontiers in Applied Mathematics)
By Stephen F. McCormick
Publisher: Society for Industrial Mathematics
Number Of Pages: 172
Publication Date: 1987-01-01
ISBN-10 / ASIN: 0898712475
ISBN-13 / EAN: 9780898712476
Binding: Paperback
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.
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