Numerical solution of boundary value problems for ordinary differential equations:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
1995
|
| Ausgabe: | Originally published: Englewood Cliffs, N.J. : Prentice-Hall, 1988. (Prentice Hall series in computational mathematics) |
| Schriftenreihe: | Classics in applied mathematics
13 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1137/1.9781611971231 https://doi.org/10.1137/1.9781611971231 https://doi.org/10.1137/1.9781611971231 https://doi.org/10.1137/1.9781611971231 https://doi.org/10.1137/1.9781611971231 |
| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 534-585) and index List of examples -- Preface -- Chapter 1. Introduction -- Chapter 2. Review of numerical analysis and mathematical background -- Chapter 3. Theory of ordinary differential equations -- Chapter 4. Initial value methods -- Chapter 5. Finite difference methods -- Chapter 6. Decoupling -- Chapter 7. Solving linear equations -- Chapter 8. Solving nonlinear equations -- Chapter 9. Mesh selection -- Chapter 10. Singular perturbations -- Chapter 11. Special topics -- Appendix A. A multiple shooting code -- Appendix B. A collocation code -- References -- Bibliography -- Index This book is the most comprehensive, up-to-date account of the popular numerical methods for solving boundary value problems in ordinary differential equations. It aims at a thorough understanding of the field by giving an in-depth analysis of the numerical methods by using decoupling principles. Numerous exercises and real-world examples are used throughout to demonstrate the methods and the theory. Although first published in 1988, this republication remains the most comprehensive theoretical coverage of the subject matter, not available elsewhere in one volume. Many problems, arising in a wide variety of application areas, give rise to mathematical models which form boundary value problems for ordinary differential equations. These problems rarely have a closed form solution, and computer simulation is typically used to obtain their approximate solution. This book discusses methods to carry out such computer simulations in a robust, efficient, and reliable manner |
| Umfang: | 1 Online-Ressource (xxv, 595 Seiten) |
| ISBN: | 0898713544 9780898713541 |
| DOI: | 10.1137/1.9781611971231 |
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| 245 | 1 | 0 | |a Numerical solution of boundary value problems for ordinary differential equations |c Uri M. Ascher, Robert M.M. Mattheij, Robert D. Russell |
| 250 | |a Originally published: Englewood Cliffs, N.J. : Prentice-Hall, 1988. (Prentice Hall series in computational mathematics) | ||
| 264 | 1 | |a Philadelphia, Pa. |b Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |c 1995 | |
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| 500 | |a Includes bibliographical references (s. 534-585) and index | ||
| 500 | |a List of examples -- Preface -- Chapter 1. Introduction -- Chapter 2. Review of numerical analysis and mathematical background -- Chapter 3. Theory of ordinary differential equations -- Chapter 4. Initial value methods -- Chapter 5. Finite difference methods -- Chapter 6. Decoupling -- Chapter 7. Solving linear equations -- Chapter 8. Solving nonlinear equations -- Chapter 9. Mesh selection -- Chapter 10. Singular perturbations -- Chapter 11. Special topics -- Appendix A. A multiple shooting code -- Appendix B. A collocation code -- References -- Bibliography -- Index | ||
| 500 | |a This book is the most comprehensive, up-to-date account of the popular numerical methods for solving boundary value problems in ordinary differential equations. It aims at a thorough understanding of the field by giving an in-depth analysis of the numerical methods by using decoupling principles. Numerous exercises and real-world examples are used throughout to demonstrate the methods and the theory. Although first published in 1988, this republication remains the most comprehensive theoretical coverage of the subject matter, not available elsewhere in one volume. Many problems, arising in a wide variety of application areas, give rise to mathematical models which form boundary value problems for ordinary differential equations. These problems rarely have a closed form solution, and computer simulation is typically used to obtain their approximate solution. This book discusses methods to carry out such computer simulations in a robust, efficient, and reliable manner | ||
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Datensatz im Suchindex
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| edition | Originally published: Englewood Cliffs, N.J. : Prentice-Hall, 1988. (Prentice Hall series in computational mathematics) |
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| indexdate | 2024-12-20T16:01:25Z |
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| isbn | 0898713544 9780898713541 |
| language | English |
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| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |
| record_format | marc |
| series | Classics in applied mathematics |
| series2 | Classics in applied mathematics |
| spellingShingle | Ascher, Uri M. 1946- Numerical solution of boundary value problems for ordinary differential equations Classics in applied mathematics Boundary value problems / Numerical solutions Grenzwertberechnung (DE-588)4158161-1 gnd Differentialgleichung (DE-588)4012249-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Randwertproblem (DE-588)4048395-2 gnd Anfangsrandwertproblem (DE-588)4001990-1 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| subject_GND | (DE-588)4158161-1 (DE-588)4012249-9 (DE-588)4128130-5 (DE-588)4048395-2 (DE-588)4001990-1 (DE-588)4020929-5 (DE-588)4143389-0 |
| title | Numerical solution of boundary value problems for ordinary differential equations |
| title_auth | Numerical solution of boundary value problems for ordinary differential equations |
| title_exact_search | Numerical solution of boundary value problems for ordinary differential equations |
| title_full | Numerical solution of boundary value problems for ordinary differential equations Uri M. Ascher, Robert M.M. Mattheij, Robert D. Russell |
| title_fullStr | Numerical solution of boundary value problems for ordinary differential equations Uri M. Ascher, Robert M.M. Mattheij, Robert D. Russell |
| title_full_unstemmed | Numerical solution of boundary value problems for ordinary differential equations Uri M. Ascher, Robert M.M. Mattheij, Robert D. Russell |
| title_short | Numerical solution of boundary value problems for ordinary differential equations |
| title_sort | numerical solution of boundary value problems for ordinary differential equations |
| topic | Boundary value problems / Numerical solutions Grenzwertberechnung (DE-588)4158161-1 gnd Differentialgleichung (DE-588)4012249-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Randwertproblem (DE-588)4048395-2 gnd Anfangsrandwertproblem (DE-588)4001990-1 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| topic_facet | Boundary value problems / Numerical solutions Grenzwertberechnung Differentialgleichung Numerisches Verfahren Randwertproblem Anfangsrandwertproblem Gewöhnliche Differentialgleichung Aufgabensammlung |
| url | https://doi.org/10.1137/1.9781611971231 |
| volume_link | (DE-604)BV040633091 |
| work_keys_str_mv | AT ascherurim numericalsolutionofboundaryvalueproblemsforordinarydifferentialequations AT mattheijrobertmm numericalsolutionofboundaryvalueproblemsforordinarydifferentialequations AT russellrobertd numericalsolutionofboundaryvalueproblemsforordinarydifferentialequations |