Computational Partial Differential Equations: Numerical Methods and Diffpack Programming
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2003
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Texts in Computational Science and Engineering
1 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XXVI, 862 p) |
| ISBN: | 9783642557699 9783642628115 |
| ISSN: | 1611-0994 |
| DOI: | 10.1007/978-3-642-55769-9 |
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Datensatz im Suchindex
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| discipline | Mathematik |
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| institution | BVB |
| isbn | 9783642557699 9783642628115 |
| issn | 1611-0994 |
| language | English |
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| spelling | Langtangen, Hans Petter Verfasser aut Computational Partial Differential Equations Numerical Methods and Diffpack Programming by Hans Petter Langtangen Second Edition Berlin, Heidelberg Springer Berlin Heidelberg 2003 1 Online-Ressource (XXVI, 862 p) txt rdacontent c rdamedia cr rdacarrier Texts in Computational Science and Engineering 1 1611-0994 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 Mathematics Global analysis (Mathematics) Computer science / Mathematics Mathematical physics Engineering Computational Mathematics and Numerical Analysis Computational Intelligence Analysis Theoretical, Mathematical and Computational Physics Mathematical Methods in Physics Numerical and Computational Physics Informatik Ingenieurwissenschaften Mathematik Mathematische Physik Programmierumgebung (DE-588)4134837-0 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf C++ (DE-588)4193909-8 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Numerisches Verfahren (DE-588)4128130-5 s C++ (DE-588)4193909-8 s Programmierumgebung (DE-588)4134837-0 s 1\p DE-604 https://doi.org/10.1007/978-3-642-55769-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Langtangen, Hans Petter Computational Partial Differential Equations Numerical Methods and Diffpack Programming Mathematics Global analysis (Mathematics) Computer science / Mathematics Mathematical physics Engineering Computational Mathematics and Numerical Analysis Computational Intelligence Analysis Theoretical, Mathematical and Computational Physics Mathematical Methods in Physics Numerical and Computational Physics Informatik Ingenieurwissenschaften Mathematik Mathematische Physik Programmierumgebung (DE-588)4134837-0 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd C++ (DE-588)4193909-8 gnd |
| subject_GND | (DE-588)4134837-0 (DE-588)4128130-5 (DE-588)4044779-0 (DE-588)4193909-8 |
| title | Computational Partial Differential Equations Numerical Methods and Diffpack Programming |
| title_auth | Computational Partial Differential Equations Numerical Methods and Diffpack Programming |
| title_exact_search | Computational Partial Differential Equations Numerical Methods and Diffpack Programming |
| title_full | Computational Partial Differential Equations Numerical Methods and Diffpack Programming by Hans Petter Langtangen |
| title_fullStr | Computational Partial Differential Equations Numerical Methods and Diffpack Programming by Hans Petter Langtangen |
| title_full_unstemmed | Computational Partial Differential Equations Numerical Methods and Diffpack Programming by Hans Petter Langtangen |
| title_short | Computational Partial Differential Equations |
| title_sort | computational partial differential equations numerical methods and diffpack programming |
| title_sub | Numerical Methods and Diffpack Programming |
| topic | Mathematics Global analysis (Mathematics) Computer science / Mathematics Mathematical physics Engineering Computational Mathematics and Numerical Analysis Computational Intelligence Analysis Theoretical, Mathematical and Computational Physics Mathematical Methods in Physics Numerical and Computational Physics Informatik Ingenieurwissenschaften Mathematik Mathematische Physik Programmierumgebung (DE-588)4134837-0 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd C++ (DE-588)4193909-8 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Computer science / Mathematics Mathematical physics Engineering Computational Mathematics and Numerical Analysis Computational Intelligence Analysis Theoretical, Mathematical and Computational Physics Mathematical Methods in Physics Numerical and Computational Physics Informatik Ingenieurwissenschaften Mathematik Mathematische Physik Programmierumgebung Numerisches Verfahren Partielle Differentialgleichung C++ |
| url | https://doi.org/10.1007/978-3-642-55769-9 |
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