The Resource Multilevel projection methods for partial differential equations, Stephen F. McCormick, (electronic resource)

Multilevel projection methods for partial differential equations, Stephen F. McCormick, (electronic resource)

Label
Multilevel projection methods for partial differential equations
Title
Multilevel projection methods for partial differential equations
Statement of responsibility
Stephen F. McCormick
Creator
Contributor
Subject
Language
eng
Summary
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
Member of
Additional physical form
Also available in print version.
Cataloging source
CaBNVSL
http://library.link/vocab/creatorDate
1944-
http://library.link/vocab/creatorName
McCormick, S. F.
Dewey number
515/.353
Illustrations
illustrations
Index
index present
LC call number
QA377
LC item number
.M32 1992eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Society for Industrial and Applied Mathematics
Series statement
CBMS-NSF regional conference series in applied mathematics
Series volume
62
http://library.link/vocab/subjectName
  • Differential equations, Partial
  • Multigrid methods (Numerical analysis)
Target audience
adult
Label
Multilevel projection methods for partial differential equations, Stephen F. McCormick, (electronic resource)
Link
http://libraries.ou.edu/access.aspx?url=http://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb62
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Color
black and white
Contents
Chapter 1. Fundamentals. Introduction; Notation and conventions; Prototype problems; Discretization by projections; Realizability and nodal representations; Interlevel transfer matrices; Error measures -- Chapter 2. Multilevel projections methods. Abstract framework: the Multilevel Projection method (PML); The Multigrid method (MG); the Fast Adaptive Composite grid method (FAC); Prototype problems; Relaxation; Coarse-level realizability and recursiveness; Parallelization: Asynchronous FAC (AFAC); Other practical matters; Summary -- Chapter 3. Unigrid. Basic Unigrid scheme; Multgrid simulation; FAC simulation; Performance assessment; Caveats -- Chapter 4. Paradigms. Rayleigh-Ritz 1: parameter estimation; Rayleigh-Ritz 2: transport equations: Galerkin 1: general Eigenvalue problems; Galerkin 2: Riccati equations; Petrov-Galerkin 1: the Finite Volume Element method (FVE); Petrov-Galerkin 2: image reconstruction -- Chapter 5. Perspectives -- References -- Appendix A. Simple Unigrid code -- Appendix B. More efficient Unigrid code -- Appendix C. Modification to Unigrid code for local refinement
Dimensions
unknown
Extent
1 electronic text (vi, 114 p.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9781611970098
Isbn Type
(electronic bk.)
Other physical details
ill., digital file.
Publisher number
CB62
Reformatting quality
access
Specific material designation
remote
System control number
  • 3862460-01okla_normanlaw
  • (SIRSI)3862460
  • (Sirsi) i9781611970098
  • (CaBNVSL)gtp00547326
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader
Label
Multilevel projection methods for partial differential equations, Stephen F. McCormick, (electronic resource)
Link
http://libraries.ou.edu/access.aspx?url=http://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb62
Publication
Bibliography note
Includes bibliographical references and index
Color
black and white
Contents
Chapter 1. Fundamentals. Introduction; Notation and conventions; Prototype problems; Discretization by projections; Realizability and nodal representations; Interlevel transfer matrices; Error measures -- Chapter 2. Multilevel projections methods. Abstract framework: the Multilevel Projection method (PML); The Multigrid method (MG); the Fast Adaptive Composite grid method (FAC); Prototype problems; Relaxation; Coarse-level realizability and recursiveness; Parallelization: Asynchronous FAC (AFAC); Other practical matters; Summary -- Chapter 3. Unigrid. Basic Unigrid scheme; Multgrid simulation; FAC simulation; Performance assessment; Caveats -- Chapter 4. Paradigms. Rayleigh-Ritz 1: parameter estimation; Rayleigh-Ritz 2: transport equations: Galerkin 1: general Eigenvalue problems; Galerkin 2: Riccati equations; Petrov-Galerkin 1: the Finite Volume Element method (FVE); Petrov-Galerkin 2: image reconstruction -- Chapter 5. Perspectives -- References -- Appendix A. Simple Unigrid code -- Appendix B. More efficient Unigrid code -- Appendix C. Modification to Unigrid code for local refinement
Dimensions
unknown
Extent
1 electronic text (vi, 114 p.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9781611970098
Isbn Type
(electronic bk.)
Other physical details
ill., digital file.
Publisher number
CB62
Reformatting quality
access
Specific material designation
remote
System control number
  • 3862460-01okla_normanlaw
  • (SIRSI)3862460
  • (Sirsi) i9781611970098
  • (CaBNVSL)gtp00547326
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader

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