Numerical solution of initial-value problems in differential-algebraic equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics
1996
|
| Schriftenreihe: | Classics in applied mathematics
14 |
| Schlagworte: | |
| Online-Zugang: | TUM01 UBW01 UBY01 UER01 Volltext |
| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 239-251) and index Preface -- Chapter 1. Introduction -- Chapter 2. Theory of DAE's -- Chapter 3. Multistep methods -- Chapter 4. One-step methods -- Chapter 5. Software and DAE's -- Chapter 6. Applications -- Chapter 7. The DAE home page -- Supplementary bibliography -- Index Many physical problems are most naturally described by systems of differential and algebraic equations. This book describes some of the places where differential-algebraic equations (DAE's) occur. The basic mathematical theory for these equations is developed and numerical methods are presented and analyzed. Examples drawn from a variety of applications are used to motivate and illustrate the concepts and techniques. This classic edition, originally published in 1989, is the only general DAE book available. It not only develops guidelines for choosing different numerical methods, it is the first book to discuss DAE codes, including the popular DASSL code. An extensive discussion of backward differentiation formulas details why they have emerged as the most popular and best understood class of linear multistep methods for general DAE's. New to this edition is a chapter that brings the discussion of DAE software up to date. The objective of this monograph is to advance and consolidate the existing research results for the numerical solution of DAE's. The authors present results on the analysis of numerical methods, and also show how these results are relevant for the solution of problems from applications. They develop guidelines for problem formulation and effective use of the available mathematical software and provide extensive references for further study |
| Beschreibung: | 1 Online-Ressource (x, 256 Seiten) |
| ISBN: | 0898713536 9780898713534 |
| DOI: | 10.1137/1.9781611971224 |
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| 490 | 1 | |a Classics in applied mathematics |v 14 | |
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| 500 | |a Includes bibliographical references (s. 239-251) and index | ||
| 500 | |a Preface -- Chapter 1. Introduction -- Chapter 2. Theory of DAE's -- Chapter 3. Multistep methods -- Chapter 4. One-step methods -- Chapter 5. Software and DAE's -- Chapter 6. Applications -- Chapter 7. The DAE home page -- Supplementary bibliography -- Index | ||
| 500 | |a Many physical problems are most naturally described by systems of differential and algebraic equations. This book describes some of the places where differential-algebraic equations (DAE's) occur. The basic mathematical theory for these equations is developed and numerical methods are presented and analyzed. Examples drawn from a variety of applications are used to motivate and illustrate the concepts and techniques. This classic edition, originally published in 1989, is the only general DAE book available. It not only develops guidelines for choosing different numerical methods, it is the first book to discuss DAE codes, including the popular DASSL code. An extensive discussion of backward differentiation formulas details why they have emerged as the most popular and best understood class of linear multistep methods for general DAE's. New to this edition is a chapter that brings the discussion of DAE software up to date. The objective of this monograph is to advance and consolidate the existing research results for the numerical solution of DAE's. The authors present results on the analysis of numerical methods, and also show how these results are relevant for the solution of problems from applications. They develop guidelines for problem formulation and effective use of the available mathematical software and provide extensive references for further study | ||
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Datensatz im Suchindex
| _version_ | 1804148637598482432 |
|---|---|
| any_adam_object | |
| author | Brenan, Kathryn E. 1954- |
| author_GND | (DE-588)143238809 (DE-588)129968188 (DE-588)1014452325 |
| author_facet | Brenan, Kathryn E. 1954- |
| author_role | aut |
| author_sort | Brenan, Kathryn E. 1954- |
| author_variant | k e b ke keb |
| building | Verbundindex |
| bvnumber | BV039747313 |
| classification_rvk | SK 920 |
| collection | ZDB-72-SIA |
| ctrlnum | (OCoLC)873886421 (DE-599)BVBBV039747313 |
| discipline | Mathematik |
| doi_str_mv | 10.1137/1.9781611971224 |
| format | Electronic eBook |
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| id | DE-604.BV039747313 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:10:18Z |
| institution | BVB |
| isbn | 0898713536 9780898713534 |
| language | English |
| lccn | 95046482 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024594844 |
| oclc_num | 873886421 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-29 DE-706 DE-83 DE-20 |
| owner_facet | DE-91 DE-BY-TUM DE-29 DE-706 DE-83 DE-20 |
| physical | 1 Online-Ressource (x, 256 Seiten) |
| psigel | ZDB-72-SIA |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Society for Industrial and Applied Mathematics |
| record_format | marc |
| series | Classics in applied mathematics |
| series2 | Classics in applied mathematics |
| spelling | Brenan, Kathryn E. 1954- Verfasser (DE-588)143238809 aut Numerical solution of initial-value problems in differential-algebraic equations K.E. Brenan, S.L. Campbell, L.R. Petzold Philadelphia, Pa. Society for Industrial and Applied Mathematics 1996 1 Online-Ressource (x, 256 Seiten) txt rdacontent c rdamedia cr rdacarrier Classics in applied mathematics 14 Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 239-251) and index Preface -- Chapter 1. Introduction -- Chapter 2. Theory of DAE's -- Chapter 3. Multistep methods -- Chapter 4. One-step methods -- Chapter 5. Software and DAE's -- Chapter 6. Applications -- Chapter 7. The DAE home page -- Supplementary bibliography -- Index Many physical problems are most naturally described by systems of differential and algebraic equations. This book describes some of the places where differential-algebraic equations (DAE's) occur. The basic mathematical theory for these equations is developed and numerical methods are presented and analyzed. Examples drawn from a variety of applications are used to motivate and illustrate the concepts and techniques. This classic edition, originally published in 1989, is the only general DAE book available. It not only develops guidelines for choosing different numerical methods, it is the first book to discuss DAE codes, including the popular DASSL code. An extensive discussion of backward differentiation formulas details why they have emerged as the most popular and best understood class of linear multistep methods for general DAE's. New to this edition is a chapter that brings the discussion of DAE software up to date. The objective of this monograph is to advance and consolidate the existing research results for the numerical solution of DAE's. The authors present results on the analysis of numerical methods, and also show how these results are relevant for the solution of problems from applications. They develop guidelines for problem formulation and effective use of the available mathematical software and provide extensive references for further study Initial value problems / Numerical solutions Anfangswertproblem (DE-588)4001991-3 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd rswk-swf Algebraische Differentialgleichung (DE-588)4001158-6 gnd rswk-swf Differential-algebraisches Gleichungssystem (DE-588)4229517-8 s Anfangswertproblem (DE-588)4001991-3 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Differentialgleichung (DE-588)4012249-9 s 1\p DE-604 Randwertproblem (DE-588)4048395-2 s Algebraische Differentialgleichung (DE-588)4001158-6 s 2\p DE-604 Numerische Mathematik (DE-588)4042805-9 s 3\p DE-604 Campbell, Stephen L. 1945- Sonstige (DE-588)129968188 oth Petzold, Linda Ruth Sonstige (DE-588)1014452325 oth Erscheint auch als Druck-Ausgabe, Paperback 0898713536 (DE-604)BV010583318 Erscheint auch als Druck-Ausgabe, Paperback 9780898713534 Classics in applied mathematics 14 (DE-604)BV040633091 14 https://doi.org/10.1137/1.9781611971224 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 |
| spellingShingle | Brenan, Kathryn E. 1954- Numerical solution of initial-value problems in differential-algebraic equations Classics in applied mathematics Initial value problems / Numerical solutions Anfangswertproblem (DE-588)4001991-3 gnd Numerische Mathematik (DE-588)4042805-9 gnd Differentialgleichung (DE-588)4012249-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Randwertproblem (DE-588)4048395-2 gnd Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd Algebraische Differentialgleichung (DE-588)4001158-6 gnd |
| subject_GND | (DE-588)4001991-3 (DE-588)4042805-9 (DE-588)4012249-9 (DE-588)4128130-5 (DE-588)4048395-2 (DE-588)4229517-8 (DE-588)4001158-6 |
| title | Numerical solution of initial-value problems in differential-algebraic equations |
| title_auth | Numerical solution of initial-value problems in differential-algebraic equations |
| title_exact_search | Numerical solution of initial-value problems in differential-algebraic equations |
| title_full | Numerical solution of initial-value problems in differential-algebraic equations K.E. Brenan, S.L. Campbell, L.R. Petzold |
| title_fullStr | Numerical solution of initial-value problems in differential-algebraic equations K.E. Brenan, S.L. Campbell, L.R. Petzold |
| title_full_unstemmed | Numerical solution of initial-value problems in differential-algebraic equations K.E. Brenan, S.L. Campbell, L.R. Petzold |
| title_short | Numerical solution of initial-value problems in differential-algebraic equations |
| title_sort | numerical solution of initial value problems in differential algebraic equations |
| topic | Initial value problems / Numerical solutions Anfangswertproblem (DE-588)4001991-3 gnd Numerische Mathematik (DE-588)4042805-9 gnd Differentialgleichung (DE-588)4012249-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Randwertproblem (DE-588)4048395-2 gnd Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd Algebraische Differentialgleichung (DE-588)4001158-6 gnd |
| topic_facet | Initial value problems / Numerical solutions Anfangswertproblem Numerische Mathematik Differentialgleichung Numerisches Verfahren Randwertproblem Differential-algebraisches Gleichungssystem Algebraische Differentialgleichung |
| url | https://doi.org/10.1137/1.9781611971224 |
| volume_link | (DE-604)BV040633091 |
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