Numerical Approximation of Partial Differential Equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1994
|
| Series: | Springer Series in Computational Mathematics
23 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | This book deals with the numerical approximation of partial differential equations. Its scope is to provide a thorough illustration of numerical methods, carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is one of its main features. Many kinds of problems are addressed. A comprehensive theory of Galerkin method and its variants, as well as that of collocation methods, are developed for the spatial discretization. These theories are then specified to two numerical subspace realizations of remarkable interest: the finite element method and the spectral method. From the reviews: "...The book is excellent and is addressed to post-graduate students, research workers in applied sciences as well as to specialists in numerical mathematics solving PDE. Since it is written very clearly, it would be acceptable for undergraduate students in advanced courses of numerical mathematics. Readers will find this book to be a great pleasure."--MATHEMATICAL REVIEWS |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9783540852681 9783540852674 |
| ISSN: | 0179-3632 |
| DOI: | 10.1007/978-3-540-85268-1 |
Staff View
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Record in the Search Index
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-540-85268-1 |
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| indexdate | 2024-07-10T01:21:11Z |
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| isbn | 9783540852681 9783540852674 |
| issn | 0179-3632 |
| language | English |
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| publishDate | 1994 |
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| publisher | Springer Berlin Heidelberg |
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| spelling | Quarteroni, Alfio Verfasser aut Numerical Approximation of Partial Differential Equations by Alfio Quarteroni, Alberto Valli Berlin, Heidelberg Springer Berlin Heidelberg 1994 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Springer Series in Computational Mathematics 23 0179-3632 This book deals with the numerical approximation of partial differential equations. Its scope is to provide a thorough illustration of numerical methods, carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is one of its main features. Many kinds of problems are addressed. A comprehensive theory of Galerkin method and its variants, as well as that of collocation methods, are developed for the spatial discretization. These theories are then specified to two numerical subspace realizations of remarkable interest: the finite element method and the spectral method. From the reviews: "...The book is excellent and is addressed to post-graduate students, research workers in applied sciences as well as to specialists in numerical mathematics solving PDE. Since it is written very clearly, it would be acceptable for undergraduate students in advanced courses of numerical mathematics. Readers will find this book to be a great pleasure."--MATHEMATICAL REVIEWS Mathematics Global analysis (Mathematics) Numerical analysis Mathematical physics Physics Engineering mathematics Analysis Numerical Analysis Appl.Mathematics/Computational Methods of Engineering Mathematical and Computational Physics Mathematical Methods in Physics Numerical and Computational Methods Mathematik Mathematische Physik Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Approximation (DE-588)4002498-2 gnd rswk-swf Approximation (DE-588)4002498-2 s Numerisches Verfahren (DE-588)4128130-5 s Partielle Differentialgleichung (DE-588)4044779-0 s 1\p DE-604 Valli, Alberto Sonstige oth https://doi.org/10.1007/978-3-540-85268-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Quarteroni, Alfio Numerical Approximation of Partial Differential Equations Mathematics Global analysis (Mathematics) Numerical analysis Mathematical physics Physics Engineering mathematics Analysis Numerical Analysis Appl.Mathematics/Computational Methods of Engineering Mathematical and Computational Physics Mathematical Methods in Physics Numerical and Computational Methods Mathematik Mathematische Physik Numerisches Verfahren (DE-588)4128130-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Approximation (DE-588)4002498-2 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4044779-0 (DE-588)4002498-2 |
| title | Numerical Approximation of Partial Differential Equations |
| title_auth | Numerical Approximation of Partial Differential Equations |
| title_exact_search | Numerical Approximation of Partial Differential Equations |
| title_full | Numerical Approximation of Partial Differential Equations by Alfio Quarteroni, Alberto Valli |
| title_fullStr | Numerical Approximation of Partial Differential Equations by Alfio Quarteroni, Alberto Valli |
| title_full_unstemmed | Numerical Approximation of Partial Differential Equations by Alfio Quarteroni, Alberto Valli |
| title_short | Numerical Approximation of Partial Differential Equations |
| title_sort | numerical approximation of partial differential equations |
| topic | Mathematics Global analysis (Mathematics) Numerical analysis Mathematical physics Physics Engineering mathematics Analysis Numerical Analysis Appl.Mathematics/Computational Methods of Engineering Mathematical and Computational Physics Mathematical Methods in Physics Numerical and Computational Methods Mathematik Mathematische Physik Numerisches Verfahren (DE-588)4128130-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Approximation (DE-588)4002498-2 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Numerical analysis Mathematical physics Physics Engineering mathematics Analysis Numerical Analysis Appl.Mathematics/Computational Methods of Engineering Mathematical and Computational Physics Mathematical Methods in Physics Numerical and Computational Methods Mathematik Mathematische Physik Numerisches Verfahren Partielle Differentialgleichung Approximation |
| url | https://doi.org/10.1007/978-3-540-85268-1 |
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