Analysis of Approximation Methods for Differential and Integral Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1985
|
| Schriftenreihe: | Applied Mathematical Sciences
57 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is primarily based on the research done by the Numerical Analysis Group at the Goethe-Universitat in Frankfurt/Main, and on material presented in several graduate courses by the author between 1977 and 1981. It is hoped that the text will be useful for graduate students and for scientists interested in studying a fundamental theoretical analysis of numerical methods along with its application to the most diverse classes of differential and integral equations. The text treats numerous methods for approximating solutions of three classes of problems: (elliptic) boundary-value problems, (hyperbolic and parabolic) initial value problems in partial differential equations, and integral equations of the second kind. The aim is to develop a unifying convergence theory, and thereby prove the convergence of, as well as provide error estimates for, the approximations generated by specific numerical methods. The schemes for numerically solving boundary-value problems are additionally divided into the two categories of finite difference methods and of projection methods for approximating their variational formulations |
| Beschreibung: | 1 Online-Ressource (398p) |
| ISBN: | 9781461210801 9780387962146 |
| ISSN: | 0066-5452 |
| DOI: | 10.1007/978-1-4612-1080-1 |
Internformat
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| discipline | Mathematik |
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| issn | 0066-5452 |
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| spelling | Reinhardt, H.-J. Verfasser aut Analysis of Approximation Methods for Differential and Integral Equations by H.-J. Reinhardt New York, NY Springer New York 1985 1 Online-Ressource (398p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 57 0066-5452 This book is primarily based on the research done by the Numerical Analysis Group at the Goethe-Universitat in Frankfurt/Main, and on material presented in several graduate courses by the author between 1977 and 1981. It is hoped that the text will be useful for graduate students and for scientists interested in studying a fundamental theoretical analysis of numerical methods along with its application to the most diverse classes of differential and integral equations. The text treats numerous methods for approximating solutions of three classes of problems: (elliptic) boundary-value problems, (hyperbolic and parabolic) initial value problems in partial differential equations, and integral equations of the second kind. The aim is to develop a unifying convergence theory, and thereby prove the convergence of, as well as provide error estimates for, the approximations generated by specific numerical methods. The schemes for numerically solving boundary-value problems are additionally divided into the two categories of finite difference methods and of projection methods for approximating their variational formulations Mathematics Numerical analysis Numerical Analysis Mathematik Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Approximation (DE-588)4002498-2 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Integralgleichung (DE-588)4027229-1 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 1\p DE-604 Integralgleichung (DE-588)4027229-1 s Approximation (DE-588)4002498-2 s 2\p DE-604 3\p DE-604 Approximationstheorie (DE-588)4120913-8 s 4\p DE-604 Differentialgleichung (DE-588)4012249-9 s 5\p DE-604 6\p DE-604 https://doi.org/10.1007/978-1-4612-1080-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Reinhardt, H.-J Analysis of Approximation Methods for Differential and Integral Equations Mathematics Numerical analysis Numerical Analysis Mathematik Approximationstheorie (DE-588)4120913-8 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Approximation (DE-588)4002498-2 gnd Differentialgleichung (DE-588)4012249-9 gnd Integralgleichung (DE-588)4027229-1 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4120913-8 (DE-588)4128130-5 (DE-588)4002498-2 (DE-588)4012249-9 (DE-588)4027229-1 (DE-588)4044779-0 |
| title | Analysis of Approximation Methods for Differential and Integral Equations |
| title_auth | Analysis of Approximation Methods for Differential and Integral Equations |
| title_exact_search | Analysis of Approximation Methods for Differential and Integral Equations |
| title_full | Analysis of Approximation Methods for Differential and Integral Equations by H.-J. Reinhardt |
| title_fullStr | Analysis of Approximation Methods for Differential and Integral Equations by H.-J. Reinhardt |
| title_full_unstemmed | Analysis of Approximation Methods for Differential and Integral Equations by H.-J. Reinhardt |
| title_short | Analysis of Approximation Methods for Differential and Integral Equations |
| title_sort | analysis of approximation methods for differential and integral equations |
| topic | Mathematics Numerical analysis Numerical Analysis Mathematik Approximationstheorie (DE-588)4120913-8 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Approximation (DE-588)4002498-2 gnd Differentialgleichung (DE-588)4012249-9 gnd Integralgleichung (DE-588)4027229-1 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Mathematics Numerical analysis Numerical Analysis Mathematik Approximationstheorie Numerisches Verfahren Approximation Differentialgleichung Integralgleichung Partielle Differentialgleichung |
| url | https://doi.org/10.1007/978-1-4612-1080-1 |
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