Stephen F. Mccormick's Books

Multilevel Adaptive Methods for Partial Differential Equations

By: Stephen F. McCormick

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Multilevel Adaptive Methods for Partial Differential Equations

By: Stephen F. McCormick

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. It also contains new material, which is included to fill in certain gaps and to expose new avenues of research. Also, because adaptive refinement seems to demand a lot of attention to philosophical issues, personal perspectives are often brought freely into the discussion.

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Page Count

171

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SIAM

Published Date

ISBN 10

1611971020

ISBN 13

9781611971026

multigrid methods

theory, applications, and supercomputing

By: Stephen F. Mccormick

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multigrid methods

theory, applications, and supercomputing

By: Stephen F. Mccormick

This book is a collection of research papers on a wide variety of multigrid topics, including applications, computation and theory. It represents proceedings of the Third Copper Mountain Conference on Multigrid Methods, which was held at Copper Mountain, Colorado.

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668

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CRC Press

Published Date

ISBN 10

1000147223

ISBN 13

9781000147223

Multilevel Projection Methods for Partial Differential Equations

By: Stephen F. McCormick

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Multilevel Projection Methods for Partial Differential Equations

By: Stephen F. McCormick

Mathematics of Computing -- Numerical Analysis.

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118

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SIAM

Published Date

ISBN 10

0898712920

ISBN 13

9780898712926

multigrid methods

theory, applications, and supercomputing

By: Stephen F. Mccormick

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multigrid methods

theory, applications, and supercomputing

By: Stephen F. Mccormick

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Page Count

668

Publisher

CRC Press

Published Date

ISBN 10

1000147223

ISBN 13

9781000147223

Multilevel Projection Methods for Partial Differential Equations

By: Stephen F. McCormick

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Multilevel Projection Methods for Partial Differential Equations

By: Stephen F. McCormick

The multilevel projection method is a new formalism that provides a framework for the development of multilevel algorithms in a very general setting. This methodology guides the choices of all the major multilevel processes, including relaxation and coarsening, and it applies directly to global or locally-refined discretizations. This book was developed from lectures at the CBMS-NSF Regional Conference on Multigrid and Multilevel Adaptive Methods for Partial Differential Equations in June 1991, and is a supplement to Multilevel Adaptive Methods for Partial Differential Equations, also written by Stephen F. McCormick.

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118

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SIAM

Published Date

ISBN 10

1611970091

ISBN 13

9781611970098

Book's by Stephen F. Mccormick

Multilevel Adaptive Methods for Partial Differential Equations

Multilevel Adaptive Methods for Partial Differential Equations

multigrid methods

multigrid methods

Multilevel Projection Methods for Partial Differential Equations

Multilevel Projection Methods for Partial Differential Equations

multigrid methods

multigrid methods

Multilevel Projection Methods for Partial Differential Equations

Multilevel Projection Methods for Partial Differential Equations

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