WorldCat Identities

McCormick, S. F. (Stephen Fahrney) 1944-

Overview
Works: 43 works in 151 publications in 1 language and 2,314 library holdings
Genres: Conference papers and proceedings  Academic theses 
Roles: Author, Editor, Other
Classifications: QA377, 515.353
Publication Timeline
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Most widely held works by S. F McCormick
Multilevel adaptive methods for partial differential equations by S. F McCormick( Book )

18 editions published in 1989 in English and held by 389 WorldCat member libraries worldwide

"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"--Publisher description
Multigrid methods by S. F McCormick( Book )

20 editions published between 1987 and 1994 in English and Undetermined and held by 386 WorldCat member libraries worldwide

A thoughtful consideration of the current level of development of multigrid methods, this volume is a carefully edited collection of papers that addresses its topic on several levels. The first three chapters orient the reader who is familiar with standard numerical techniques to multigrid methods, first by discussing multigrid in the context of standard techniques, second by detailing the mechanics of use of the method, and third by applying the basic method to some current problems in fluid dynamics. The fourth chapter provides a unified development, complete with theory, of algebraic multigrid (AMG), which is a linear equation solver based on multigrid principles. The last chapter is an ambitious development of a very general theory of multigrid methods for variationally posed problems. Included as an appendix is the latest edition of the Multigrid Bibliography, an attempted compilation of all existing research publications on multigrid
A multigrid tutorial by William L Briggs( Book )

25 editions published between 2000 and 2011 in English and Undetermined and held by 381 WorldCat member libraries worldwide

Mathematics of Computing -- Numerical Analysis
Multilevel projection methods for partial differential equations by S. F McCormick( Book )

12 editions published in 1992 in English and held by 358 WorldCat member libraries worldwide

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
Multigrid methods : theory, applications, and supercomputing by S. F McCormick( Book )

15 editions published between 1988 and 2020 in English and held by 297 WorldCat member libraries worldwide

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
Optimization in solving elliptic problems by E. G Dʹi︠a︡konov( Book )

6 editions published between 1996 and 2018 in English and held by 207 WorldCat member libraries worldwide

Optimization in Solving Elliptic Problems focuses on one of the most interesting and challenging problems of computational mathematics - the optimization of numerical algorithms for solving elliptic problems. It presents detailed discussions of how asymptotically optimal algorithms may be applied to elliptic problems to obtain numerical solutions meeting certain specified requirements. Beginning with an outline of the fundamental principles of numerical methods, this book describes how to construct special modifications of classical finite element methods such that for the arising grid systems, asymptotically optimal iterative methods can be applied. Optimization in Solving Elliptic Problems describes the construction of computational algorithms resulting in the required accuracy of a solution and having a pre-determined computational complexity. Construction of asymptotically optimal algorithms is demonstrated for multi-dimensional elliptic boundary value problems under general conditions. In addition, algorithms are developed for eigenvalue problems and Navier-Stokes problems. The development of these algorithms is based on detailed discussions of topics that include accuracy estimates of projective and difference methods, topologically equivalent grids and triangulations, general theorems on convergence of iterative methods, mixed finite element methods for Stokes-type problems, methods of solving fourth-order problems, and methods for solving classical elasticity problems. Furthermore, the text provides methods for managing basic iterative methods such as domain decomposition and multigrid methods. These methods, clearly developed and explained in the text, may be used to develop algorithms for solving applied elliptic problems
Sixth Copper Mountain Conference on Multigrid Methods : proceedings of a workshop cosponsored by the National Aeronautics and Space Administration [and others] and held at Copper Mountain, Colorado, April 4-9, 1993 by Copper Mountain Conference on Multigrid Methods( Book )

1 edition published in 1993 in English and held by 114 WorldCat member libraries worldwide

Multigrid methods : an alternate viewpoint by S. F McCormick( Book )

1 edition published in 1979 in English and held by 70 WorldCat member libraries worldwide

Multilevel projection methods for partial differential equations by S. F McCormick( Book )

1 edition published in 1992 in English and held by 22 WorldCat member libraries worldwide

Wavelets are a mathematical development that may revolutionize the world of information storage and retrieval according to many experts. They are a fairly simple mathematical tool now being applied to the compression of data--such as fingerprints, weather satellite photographs, and medical x-rays--that were previously thought to be impossible to condense without losing crucial details. This monograph contains 10 lectures presented by Dr. Daubechies as the principal speaker at the 1990 CBMS-NSF Conference on Wavelets and Applications. The author has worked on several aspects of the wavelet transform and has developed a collection of wavelets that are remarkably efficient
Second Copper Mountain Conference on Multigrid Methods : Copper Mountain, Colorado, March 31-April 3, 1985 by Copper Mountain Conference on Multigrid Methods( Book )

3 editions published in 1986 in English and Undetermined and held by 9 WorldCat member libraries worldwide

Multigrid methods( Book )

1 edition published in 1988 in English and held by 8 WorldCat member libraries worldwide

Strategy in action : a step-by-step guide and workbook, for small and medium-sized businesses by S. F McCormick( Book )

2 editions published in 2001 in English and held by 8 WorldCat member libraries worldwide

Multigrid methods selected papers from the Internat. Conference on Multigrid Methods, April 6 - 8, 1983, Dillon, Colo by Conference on Multigrid Methods( Book )

4 editions published in 1983 in English and Undetermined and held by 4 WorldCat member libraries worldwide

Relaxation-corrected Bootstrap Algebraic Multigrid (rBAMG) by Minho Park( )

1 edition published in 2010 in English and held by 3 WorldCat member libraries worldwide

Bootstrap Algebraic Multigrid (BAMG) is a multigrid-based solver for matrix equations of the form Ax = b. Its aim is to automatically determine the interpolation weights used in algebraic multigrid (AMG) by locally fitting a set of test vectors that have been relaxed as solutions to the corresponding homogeneous equation, Ax = 0. This thesis introduces an indirect operator-based interpolation scheme for BAMG that determines the interpolation weights indirectly by "collapsing" the unwanted connections in "operator interpolation". Compared to BAMG, this indirect BAMG approach (iBAMG) is more in the spirit of classical AMG, which collapses unwanted connections in operator interpolation based on the (restrictive) assumption that smooth error is locally constant
Parallel efficiency-based adaptive local refinement by Lei Tang( )

1 edition published in 2010 in English and held by 3 WorldCat member libraries worldwide

Accommodations of the ALR strategies to parallel computer architectures involve a geometric binning strategy to reduce communication cost. Load balancing begins at very coarse levels. Elements and nodes are redistributed using parallel quad-tree structures and a space filling curve. This automatically ameliorates load balancing issues at finer levels. Numerical results produced on Frost, the NCAR/CU Blue Gene/L supercomputer, are presented for a 2D Poisson problem with steep gradients, a 2D backward facing step incompressible Stokes equations and Navier-Stokes equations. The NI-FOSL-AMG-ACE approach is able to provide highly resolved approximations to rapidly varying solutions using a small number of work units. Excellent weak and strong scalability of parallel ALR are demonstrated on up to 4,096 processors for problems with up to 15 million biquadratic elements
Algebraic Multigrid Methods for Parallel Computing, Systems, and Graphs by Tobias M Jones( )

1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide

Historically, AMG was used to solve linear systems that arise from the discretization of differential equations. However, due to the ON scalability of the method, it seems natural to investigate it in other contexts that generate large sparse linear systems. Data mining in graph theory applications generate very large, but extremely sparse, linear systems called Graph Laplacians. As a step in the process of targeting AMG for these problems, eigenvectors of matrices formed from graphs are investigated
Multilevel Techniques in Large Scale Computation( )

2 editions published between 1992 and 1996 in English and held by 2 WorldCat member libraries worldwide

Techniques have been demonstrated for time dependent problems that allow rare activation of finest grids; new multiscale approaches in statistical mechanics and many particle problems; fast integral transforms and solvers for integro-differential equations; fast Dirac solvers, and multigrid algorithms on decomposed domains
Multigrid methods for nearly singular linear equations and Eigenvalue problems by Zhiqiang Cai( Book )

1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide

 
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Multilevel adaptive methods for partial differential equations
Covers
Multigrid methodsA multigrid tutorialMultilevel projection methods for partial differential equationsMultigrid methods : theory, applications, and supercomputingOptimization in solving elliptic problemsMultilevel projection methods for partial differential equationsMultigrid methods
Alternative Names
Fahrney McCormick Stephen

Fahrney McCormick, Stephen 1944-

Mac Cormick Stephen Fahrney

Mac Cormick Steve F.

MacCormick, Stephen F. 1944-

MacCormick Stephen Fahrney

MacCormick, Stephen Fahrney 1944-

MacCormick Steve F.

MacCormick, Steve F. 1944-

Mc Cormick, Stephen F. 1944-

Mc Cormick Stephen Fahrney

Mc Cormick Steve F.

McCormick, S. F.

McCormick, S.F. 1944-

McCormick, Stephen F.

McCormick, Stephen Fahrney 1944-

McCormick, Steve.

McCormick, Steve 1944-

McCormick Steve F.

McCormick, Steve F. 1944-

Steve McCormick

Languages
English (121)