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
1999
|
| Schriftenreihe: | Lecture Notes in Computational Science and Engineering
2 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | During the last decades there has been a tremendous advancement of computer hardware, numerical algorithms, and scientific software. Engineers and scientists are now equipped with tools that make it possible to explore realworld applications of high complexity by means of mathematical models and computer simulation. Experimentation based on numerical simulation has become fundamental in engineering and many of the traditional sciences. A common feature of mathematical models in physics, geology, astrophysics, mechanics, geophysics, as well as in most engineering disciplines, is the appearance of systems of partial differential equations (PDEs). This text aims at equipping the reader with tools and skills for formulating solution methods for PDEs and producing associated running code. Successful problem solving by means of mathematical models inscience and engineering often demands a synthesis of knowledge from several fields. Besides the physical application itself, one must master the tools of mathematical modeling, numerical methods, as well as software design and implementation. In addition, physical experiments or field measurements might play an important role in the derivation and the validation of models. This book is written in the spirit of computational sciences as interdisciplinary activities. Although it would be attractive to integrate subjects like mathematics, physics, numerics, and software in book form, few readers would have the necessary broad background to approach such a text |
| Beschreibung: | 1 Online-Ressource (XXIII, 685 p) |
| ISBN: | 9783662011706 9783662011720 |
| ISSN: | 1439-7358 |
| DOI: | 10.1007/978-3-662-01170-6 |
Internformat
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Datensatz im Suchindex
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| author | Langtangen, Hans Petter |
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| author_sort | Langtangen, Hans Petter |
| author_variant | h p l hp hpl |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518 |
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| dewey-sort | 3518 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-01170-6 |
| format | Electronic eBook |
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| id | DE-604.BV042423186 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:12Z |
| institution | BVB |
| isbn | 9783662011706 9783662011720 |
| issn | 1439-7358 |
| language | English |
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| physical | 1 Online-Ressource (XXIII, 685 p) |
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| series | Lecture Notes in Computational Science and Engineering |
| series2 | Lecture Notes in Computational Science and Engineering |
| spelling | Langtangen, Hans Petter Verfasser aut Computational Partial Differential Equations Numerical Methods and Diffpack Programming by Hans Petter Langtangen Berlin, Heidelberg Springer Berlin Heidelberg 1999 1 Online-Ressource (XXIII, 685 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Computational Science and Engineering 2 1439-7358 During the last decades there has been a tremendous advancement of computer hardware, numerical algorithms, and scientific software. Engineers and scientists are now equipped with tools that make it possible to explore realworld applications of high complexity by means of mathematical models and computer simulation. Experimentation based on numerical simulation has become fundamental in engineering and many of the traditional sciences. A common feature of mathematical models in physics, geology, astrophysics, mechanics, geophysics, as well as in most engineering disciplines, is the appearance of systems of partial differential equations (PDEs). This text aims at equipping the reader with tools and skills for formulating solution methods for PDEs and producing associated running code. Successful problem solving by means of mathematical models inscience and engineering often demands a synthesis of knowledge from several fields. Besides the physical application itself, one must master the tools of mathematical modeling, numerical methods, as well as software design and implementation. In addition, physical experiments or field measurements might play an important role in the derivation and the validation of models. This book is written in the spirit of computational sciences as interdisciplinary activities. Although it would be attractive to integrate subjects like mathematics, physics, numerics, and software in book form, few readers would have the necessary broad background to approach such a text Mathematics Computer science Global analysis (Mathematics) Computer science / Mathematics Mathematical physics Engineering Computational Mathematics and Numerical Analysis Computational Intelligence Analysis Mathematical Methods in Physics Numerical and Computational Physics Programming Techniques Informatik Ingenieurwissenschaften Mathematik Mathematische Physik Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf C++ (DE-588)4193909-8 gnd rswk-swf Programmierumgebung (DE-588)4134837-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 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 Lecture Notes in Computational Science and Engineering 2 (DE-604)BV011386476 2 https://doi.org/10.1007/978-3-662-01170-6 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 Lecture Notes in Computational Science and Engineering Mathematics Computer science Global analysis (Mathematics) Computer science / Mathematics Mathematical physics Engineering Computational Mathematics and Numerical Analysis Computational Intelligence Analysis Mathematical Methods in Physics Numerical and Computational Physics Programming Techniques Informatik Ingenieurwissenschaften Mathematik Mathematische Physik Numerisches Verfahren (DE-588)4128130-5 gnd C++ (DE-588)4193909-8 gnd Programmierumgebung (DE-588)4134837-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4193909-8 (DE-588)4134837-0 (DE-588)4044779-0 |
| 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 Computer science Global analysis (Mathematics) Computer science / Mathematics Mathematical physics Engineering Computational Mathematics and Numerical Analysis Computational Intelligence Analysis Mathematical Methods in Physics Numerical and Computational Physics Programming Techniques Informatik Ingenieurwissenschaften Mathematik Mathematische Physik Numerisches Verfahren (DE-588)4128130-5 gnd C++ (DE-588)4193909-8 gnd Programmierumgebung (DE-588)4134837-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Mathematics Computer science Global analysis (Mathematics) Computer science / Mathematics Mathematical physics Engineering Computational Mathematics and Numerical Analysis Computational Intelligence Analysis Mathematical Methods in Physics Numerical and Computational Physics Programming Techniques Informatik Ingenieurwissenschaften Mathematik Mathematische Physik Numerisches Verfahren C++ Programmierumgebung Partielle Differentialgleichung |
| url | https://doi.org/10.1007/978-3-662-01170-6 |
| volume_link | (DE-604)BV011386476 |
| work_keys_str_mv | AT langtangenhanspetter computationalpartialdifferentialequationsnumericalmethodsanddiffpackprogramming |