Partial Differential Equations with Numerical Methods:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2003
|
| Schriftenreihe: | Texts in Applied Mathematics
45 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering. The main theme is the integration of the theory of linear PDEs and the numerical solution of such equations. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. As preparation, the two-point boundary value problem and the initial-value problem for ODEs are discussed in separate chapters. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. Some background on linear functional analysis and Sobolev spaces, and also on numerical linear algebra, is reviewed in two appendices |
| Beschreibung: | 1 Online-Ressource (X, 262 p) |
| ISBN: | 9783540887065 9783540887058 |
| ISSN: | 0939-2475 |
| DOI: | 10.1007/978-3-540-88706-5 |
Internformat
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| 650 | 4 | |a Mathematics | |
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| 650 | 4 | |a Numerical analysis | |
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| dewey-full | 518 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518 |
| dewey-search | 518 |
| dewey-sort | 3518 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-540-88706-5 |
| format | Electronic eBook |
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| id | DE-604.BV042422412 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:11Z |
| institution | BVB |
| isbn | 9783540887065 9783540887058 |
| issn | 0939-2475 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857829 |
| oclc_num | 850797863 |
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| physical | 1 Online-Ressource (X, 262 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2003 |
| publishDateSearch | 2003 |
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| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Texts in Applied Mathematics |
| spelling | Larsson, Stig Verfasser aut Partial Differential Equations with Numerical Methods by Stig Larsson, Vidar Thomée Berlin, Heidelberg Springer Berlin Heidelberg 2003 1 Online-Ressource (X, 262 p) txt rdacontent c rdamedia cr rdacarrier Texts in Applied Mathematics 45 0939-2475 The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering. The main theme is the integration of the theory of linear PDEs and the numerical solution of such equations. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. As preparation, the two-point boundary value problem and the initial-value problem for ODEs are discussed in separate chapters. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. Some background on linear functional analysis and Sobolev spaces, and also on numerical linear algebra, is reviewed in two appendices Mathematics Differential equations, partial Numerical analysis Numerical Analysis Partial Differential Equations Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Thomée, Vidar Sonstige oth https://doi.org/10.1007/978-3-540-88706-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Larsson, Stig Partial Differential Equations with Numerical Methods Mathematics Differential equations, partial Numerical analysis Numerical Analysis Partial Differential Equations Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4128130-5 |
| title | Partial Differential Equations with Numerical Methods |
| title_auth | Partial Differential Equations with Numerical Methods |
| title_exact_search | Partial Differential Equations with Numerical Methods |
| title_full | Partial Differential Equations with Numerical Methods by Stig Larsson, Vidar Thomée |
| title_fullStr | Partial Differential Equations with Numerical Methods by Stig Larsson, Vidar Thomée |
| title_full_unstemmed | Partial Differential Equations with Numerical Methods by Stig Larsson, Vidar Thomée |
| title_short | Partial Differential Equations with Numerical Methods |
| title_sort | partial differential equations with numerical methods |
| topic | Mathematics Differential equations, partial Numerical analysis Numerical Analysis Partial Differential Equations Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Mathematics Differential equations, partial Numerical analysis Numerical Analysis Partial Differential Equations Mathematik Partielle Differentialgleichung Numerisches Verfahren |
| url | https://doi.org/10.1007/978-3-540-88706-5 |
| work_keys_str_mv | AT larssonstig partialdifferentialequationswithnumericalmethods AT thomeevidar partialdifferentialequationswithnumericalmethods |