Matrix-Based Multigrid (Record no. 38462)
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| fixed length control field | 04943n a2200457#a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 5000007 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20221213140637.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 100301s2008 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780387497655 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-0-387-49765-5 |
| Source of number or code | doi |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | 978-0-387-49765-5 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBKS |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT006000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 518 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 518 |
| 090 ## - IMPA CODE FOR CLASSIFICATION SHELVES | |
| IMPA CODE FOR CLASSIFICATION SHELVES | Matemáticas Gerais-(inclusive alguns textos elementares sobre assuntos específicos) |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Shapira, Yair, |
| Dates associated with a name | 1960- |
| 9 (RLIN) | 17170 |
| 245 10 - TITLE STATEMENT | |
| Title | Matrix-Based Multigrid |
| Medium | [electronic resource]: |
| Remainder of title | Theory and Applications/ |
| Statement of responsibility, etc. | edited by Yair Shapira. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 2. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Boston: |
| Name of publisher, distributor, etc. | Springer US, |
| Date of publication, distribution, etc. | 2008. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Other physical details | digital. |
| 490 0# - SERIES STATEMENT | |
| Series statement | Numerical Methods and Algorithms, |
| International Standard Serial Number | 1571-5698; |
| Volume/sequential designation | 2 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | List of Figures -- List of Tables -- Preface -- Part I. Concepts and Preliminaries -- 1. The MultilevelMultiscale Approach -- 2. Preliminaries -- Part II. Partial Differential Equations and Their Discretization -- 3. Finite Differences and Volumes -- 4. Finite Elements -- Part III. Numerical Solution of Linear Systems -- 5. Iterative Linear System Solvers -- 6. The Multigrid Iteration -- Part IV. Multigrid for Structured Grids -- 7. Automatic Multigrid -- 8. Applications in Image Processing -- 9. Black-Box Multigrid -- 10. The Indefinite Helmholtz Equation -- 11. Matrix-Based Semicoarsening -- Part V. Multigrid for Semistructured Grids -- 12. Multigrid for Locally Refined Meshes -- 13. Application to Semistructured Grids -- Part VI. Multigrid for Unstructured Grids -- 14. Domain Decomposition -- 15. The Algebraic Multilevel Method -- 16. Applications -- 17. Semialgebraic Multilevel for Systems of PDEs -- Part VII. Appendices -- 18. Time-Dependent Parabolic PDEs -- 19. Nonlinear Equations -- References -- Index . |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Multigrid methods are often used for solving partial differential equations. This book introduces and analyzes the multigrid approach. The approach used here applies to both test problems on rectangular grids and to more realistic applications with complicated grids and domains. Key Features of this Second Edition: - Discusses multigrid methods from the domain decomposition viewpoint, thus making the material accessible to beginning undergraduate/graduate students - Uses the semialgebraic multigrid approach to handle complex topics (such as the solution of systems of PDEs) - Provides relevant and insightful exercises at the end of each chapter which help reinforce the material - Uses numerous illustrations and examples to motivate the subject matter - Covers important applications in physics, engineering and computer science Matrix-Based Multigrid can serve as a textbook for courses in numerical linear algebra, numerical methods for PDEs, and computational physics at the advanced undergraduate and graduate levels. Since most of the background material is covered, the only prerequisites are elementary linear algebra and calculus. Excerpts from the reviews of the first edition: "This book contains a wealth of information about using multilevel methods to solve partial differential equations (PDEs). . . A common matrix-based framework for developing these methods is used throughout the book. This approach allows methods to be developed for problems under three very different conditions. . . This book will be insightful for practitioners in the field. . . students will enjoy studying this book to see how the many puzzle pieces of the multigrid landscape fit together." (Loyce Adams, SIAM review, Vol. 47(3), 2005) "The discussion very often includes important applications in physics, engineering, and computer science. The style is clear, the details can be understood without any serious prerequisite. The usage of multigrid method for unstructured grids is exhibited by a well commented C++ program. This way the book is suitable for anyone . . . who needs numerical solution of partial differential equations." (Peter Hajnal, Acta Scientiarum Mathematicarum, Vol. 70, 2004) |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics |
| 9 (RLIN) | 43458 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Computer science. |
| 9 (RLIN) | 31745 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Electronic data processing. |
| 9 (RLIN) | 37087 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Matrix theory |
| 9 (RLIN) | 9116 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Computer science |
| General subdivision | Mathematics. |
| 9 (RLIN) | 37772 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Engineering |
| 9 (RLIN) | 37750 |
| 697 ## - LOCAL SUBJECT | |
| Local Subject | Matemáticas Gerais- |
| Description subdivision | (inclusive alguns textos elementares sobre assuntos específicos) |
| Linkage | 23752 |
| 710 1# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service). |
| 9 (RLIN) | 8857 |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Printed edition: |
| International Standard Book Number | 9780387497648 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Numerical methods and algorithms; |
| Volume/sequential designation | 2 |
| 9 (RLIN) | 14149 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://dx.doi.org/10.1007/978-0-387-49765-5">http://dx.doi.org/10.1007/978-0-387-49765-5</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Instituto de Matemática Pura e Aplicada |
| Koha item type | E-Book |
No items available.