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Domain Decomposition Methods in Science and Engineering XVI 🔍
Randolph E. Bank (auth.), Olof B. Widlund, David E. Keyes (eds.) Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1, 2007
English [en] · PDF · 24.2MB · 2007 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/scihub · Save
description
This text teaches finite element methods and basic finite difference methods from a computational point of view. It emphasizes developing flexible computer programs using the numerical library Diffpack, which is detailed for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. This edition offers new applications and projects, and all program examples are available on the Internet.
Alternative filename
scihub/10.1007/978-3-540-34469-8.pdf
Alternative title
Computational Partial Differential Equattions : Numerical Methods and Diffpack Programming
Alternative author
Langtangen, Hans P., Langtangen, Hans Petter
Alternative author
Hans P. Langtangen, Hans Petter Langtangen
Alternative publisher
Springer Spektrum. in Springer-Verlag GmbH
Alternative publisher
Steinkopff. in Springer-Verlag GmbH
Alternative edition
Texts in computational science and engineering,, 1, 2nd ed., Berlin, New York, Germany, 2003
Alternative edition
Texts in computational science and engineering -- 1, 2. ed., Berlin [etc.], Germany, 2003
Alternative edition
Springer Nature (Textbooks & Major Reference Works), Berlin, Heidelberg, 2012
Alternative edition
Texts in computational science and engineering, 2nd ed, Berlin, 2002
Alternative edition
Texts in Computational Science and Engineering Ser
Alternative edition
Germany, Germany
Alternative edition
2nd, US, 2003
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sm37223149
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类型: 图书
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丛书名: Texts in Computational Science and Engineering Ser
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出版日期: 2003
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出版社: Springer
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页码: 855
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开本: USD 86.95
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价格: 23.500x15.500 cm
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出版日期: 2003.03
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页码: 881
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开本: $86.95
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价格: 9.6 x 6.4 x 1.5 inches
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出版日期: 2003.01
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出版社: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
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Includes bibliographical references (p. [833]-842) and index.
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Указ.
Библиогр.: с. 833-842
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РГБ
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Alternative description
The second edition features lots of improvements and new material. The most significant additions include - finite difference methods and implementations for a 1D time-dependent heat equation (Chapter 1. 7. 6), - a solver for vibration of elastic structures (Chapter 5. 1. 6), - a step-by-step instruction of how to develop and test Diffpack programs for a physical application (Chapters 3. 6 and 3. 13), - construction of non-trivial grids using super elements (Chapters 3. 5. 4, 3. 6. 4, and 3. 13. 4), - additional material on local mesh refinements (Chapter 3. 7), - coupling of Diffpack with other types of software (Appendix B. 3) - high-level programming offinite difference solvers utilizing the new stencil (finite difference operator) concept in Diffpack (Appendix D. 8). Many of the examples, projects, and exercises from the first edition have been revised and improved. Some new exercises and projects have also been added. A hopefully very useful new feature is the compact overview of all the program examples in the book and the associated software files, presented in Chapter 1. 2. Errors have been corrected, many explanations have been extended, and the text has been upgraded to be compatible with Diffpack version 4. 0. The major difficulty when developing programs for numerical solution of partial differential equations is to debug and verify the implementation. This requires an interplay between understanding the mathematical model,the in­ volved numerics, and the programming tools.
date open sourced
2015-03-03
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