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You searched IISERK - Subject: Underwater archaeology Case studies.
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Call Number
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515/.353
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Author
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McCormick, S. F. (Stephen Fahrney), 1944-
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Title
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Multilevel projection methods for partial differential equations [electronic resource] / Stephen F. McCormick.
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Publication
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Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1992.
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Material Info.
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1 electronic text (vi, 114 p.) : ill., digital file.
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Series
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CBMS-NSF regional conference series in applied mathematics ; 62
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Series
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CBMS-NSF regional conference series in applied mathematics ; 62.
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Summary Note
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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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Notes
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Includes bibliographical references and index.
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Notes
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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.
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ISBN
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9781611970098 (electronic bk.)
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Subject
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Differential equations, Partial Numerical solutions.
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Subject
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Multigrid methods (Numerical analysis)
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Subject
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Partial differential equations
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Subject
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Multilevel projection method
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Subject
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Multigrid method
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Subject
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Fast adaptive composite grid method
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Subject
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Unigrid
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Subject
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Finite element discretization methods
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Added Entry
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Society for Industrial and Applied Mathematics.
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Date
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Year, Month, Day:01405141
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Link
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SIAM
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