Solving Ordinary Differential Equations I: Nonstiff Problems
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1987
|
| Schriftenreihe: | Springer Series in Computational Mathematics
8 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | "So far as I remember, I have never seen an Author's Pre face which had any purpose but one - to furnish reasons for the publication of the Book. " (Mark Twain) "Gauss' dictum, "when a building is completed no one should be able to see any trace of the scaffolding," is often used by mathematicians as an excuse for neglecting the motivation behind their own work and the history of their field. For tunately, the opposite sentiment is gaining strength, and numerous asides in this Essay show to which side go my sympathies. " (B. B. Mandelbrot, 1982) 'This gives us a good occasion to work out most of the book until the next year. " (the Authors in a letter, dated c. kt. 29, 1980, to Springer Verlag) There are two volumes, one on non-stiff equations, now finished, the second on stiff equations, in preparation. The first volume has three chapters, one on classical mathematical theory, one on Runge Kutta and extrapolation methods, and one on multistep methods. There is an Appendix containing some Fortran codes which we have written for our numerical examples. Each chapter is divided into sections. Numbers of formulas, theorems, tables and figures are consecutive in each section and indi cate, in addition, the section number, but not the chapter number. Cross references to other chapters are rare and are stated explicitly. The end of a proof is denoted by "QED" (quod erat demonstrandum) |
| Beschreibung: | 1 Online-Ressource (XIII, 482 p) |
| ISBN: | 9783662126073 9783662126097 |
| ISSN: | 0179-3632 |
| DOI: | 10.1007/978-3-662-12607-3 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
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| isbn | 9783662126073 9783662126097 |
| issn | 0179-3632 |
| language | English |
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| spelling | Hairer, Ernst Verfasser aut Solving Ordinary Differential Equations I Nonstiff Problems by Ernst Hairer, Syvert Paul Nørsett, Gerhard Wanner Berlin, Heidelberg Springer Berlin Heidelberg 1987 1 Online-Ressource (XIII, 482 p) txt rdacontent c rdamedia cr rdacarrier Springer Series in Computational Mathematics 8 0179-3632 "So far as I remember, I have never seen an Author's Pre face which had any purpose but one - to furnish reasons for the publication of the Book. " (Mark Twain) "Gauss' dictum, "when a building is completed no one should be able to see any trace of the scaffolding," is often used by mathematicians as an excuse for neglecting the motivation behind their own work and the history of their field. For tunately, the opposite sentiment is gaining strength, and numerous asides in this Essay show to which side go my sympathies. " (B. B. Mandelbrot, 1982) 'This gives us a good occasion to work out most of the book until the next year. " (the Authors in a letter, dated c. kt. 29, 1980, to Springer Verlag) There are two volumes, one on non-stiff equations, now finished, the second on stiff equations, in preparation. The first volume has three chapters, one on classical mathematical theory, one on Runge Kutta and extrapolation methods, and one on multistep methods. There is an Appendix containing some Fortran codes which we have written for our numerical examples. Each chapter is divided into sections. Numbers of formulas, theorems, tables and figures are consecutive in each section and indi cate, in addition, the section number, but not the chapter number. Cross references to other chapters are rare and are stated explicitly. The end of a proof is denoted by "QED" (quod erat demonstrandum) Mathematics Global analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik Nørsett, Syvert Paul Sonstige oth Wanner, Gerhard Sonstige oth https://doi.org/10.1007/978-3-662-12607-3 Verlag Volltext |
| spellingShingle | Hairer, Ernst Solving Ordinary Differential Equations I Nonstiff Problems Mathematics Global analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik |
| title | Solving Ordinary Differential Equations I Nonstiff Problems |
| title_auth | Solving Ordinary Differential Equations I Nonstiff Problems |
| title_exact_search | Solving Ordinary Differential Equations I Nonstiff Problems |
| title_full | Solving Ordinary Differential Equations I Nonstiff Problems by Ernst Hairer, Syvert Paul Nørsett, Gerhard Wanner |
| title_fullStr | Solving Ordinary Differential Equations I Nonstiff Problems by Ernst Hairer, Syvert Paul Nørsett, Gerhard Wanner |
| title_full_unstemmed | Solving Ordinary Differential Equations I Nonstiff Problems by Ernst Hairer, Syvert Paul Nørsett, Gerhard Wanner |
| title_short | Solving Ordinary Differential Equations I |
| title_sort | solving ordinary differential equations i nonstiff problems |
| title_sub | Nonstiff Problems |
| topic | Mathematics Global analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik |
| topic_facet | Mathematics Global analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik |
| url | https://doi.org/10.1007/978-3-662-12607-3 |
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