Multilevel Projection Methods for Partial Differential Equations (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 62)

McCormick, Stephen F.

ISBN 10: 0898712920 / ISBN 13: 9780898712926

Editore: Society for Industrial and Applied Mathematics, 1987

120 pp., Paperback, ex library, else text clean & binding tight. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Codice articolo ZB1276818

Riassunto:

Developed from lectures at the CBMS-NSF Regional Conference on Multigrid and Multilevel Adaptive Methods for Partial Differential Equations.

Contenuti: 1. Fundamentals. Introduction; Notation and Conventions; Prototype Problems; Discretization by Projections; Realizability and Nodal Representations; Interlevel Transfer Matrices; Error Measures; 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; 3. Unigrid. Basic Unigrid Scheme; Multgrid Simulation; FAC Simulation; Performance Assessment; Caveats; 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; 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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Titolo: Multilevel Projection Methods for Partial ...
Casa editrice: Society for Industrial and Applied Mathematics
Data di pubblicazione: 1987
Legatura: Brossura
Condizione: Good