Solving Ordinary Differential Equations I: Nonstiff Problems
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1993
|
| Edition: | Second Revised Edition |
| Series: | Springer Series in Computational Mathematics
8 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Preface to the Second Edition The preparation of the second edition has presented a welcome opportunity to improve the first edition by rewriting many sections and by eliminating errors and misprints. In particular we have included new material on – Hamiltonian systems (I.14) and symplectic Runge-Kutta methods (II.16); – dense output for Runge-Kutta (II.6) and extrapolation methods (II.9); – a new Dormand & Prince method of order 8 with dense output (II.5); – parallel Runge-Kutta methods (II.11); – numerical tests for first- and second order systems (II.10 and III.7). Our sincere thanks go to many persons who have helped us with our work: – all readers who kindly drew our attention to several errors and misprints in the first edition; – those who read preliminary versions of the new parts of this edition for their invaluable suggestions: D.J. Higham, L. Jay, P. Kaps, Chr. Lubich, B. Moesli, A. Ostermann, D. Pfenniger, P.J. Prince, and J.M. Sanz-Serna. – our colleague J. Steinig, who read the entire manuscript, for his numerous mathematical suggestions and corrections of English (and Latin!) grammar; – our colleague J.P. Eckmann for his great skill in manipulating Apollo workstations, font tables, and the like; – the staff of the Geneva computing center and of the mathematics library for their constant help; – the planning and production group of Springer-Verlag for numerous suggestions on presentation and style |
| Physical Description: | 1 Online-Ressource (XV, 528 p) |
| ISBN: | 9783540788621 9783540566700 |
| ISSN: | 0179-3632 |
| DOI: | 10.1007/978-3-540-78862-1 |
Staff View
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:11Z |
| institution | BVB |
| isbn | 9783540788621 9783540566700 |
| issn | 0179-3632 |
| language | English |
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| series2 | Springer Series in Computational Mathematics |
| spelling | Hairer, Ernst Verfasser aut Solving Ordinary Differential Equations I Nonstiff Problems by Ernst Hairer, Gerhard Wanner, Syvert P. Nørsett Second Revised Edition Berlin, Heidelberg Springer Berlin Heidelberg 1993 1 Online-Ressource (XV, 528 p) txt rdacontent c rdamedia cr rdacarrier Springer Series in Computational Mathematics 8 0179-3632 Preface to the Second Edition The preparation of the second edition has presented a welcome opportunity to improve the first edition by rewriting many sections and by eliminating errors and misprints. In particular we have included new material on – Hamiltonian systems (I.14) and symplectic Runge-Kutta methods (II.16); – dense output for Runge-Kutta (II.6) and extrapolation methods (II.9); – a new Dormand & Prince method of order 8 with dense output (II.5); – parallel Runge-Kutta methods (II.11); – numerical tests for first- and second order systems (II.10 and III.7). Our sincere thanks go to many persons who have helped us with our work: – all readers who kindly drew our attention to several errors and misprints in the first edition; – those who read preliminary versions of the new parts of this edition for their invaluable suggestions: D.J. Higham, L. Jay, P. Kaps, Chr. Lubich, B. Moesli, A. Ostermann, D. Pfenniger, P.J. Prince, and J.M. Sanz-Serna. – our colleague J. Steinig, who read the entire manuscript, for his numerous mathematical suggestions and corrections of English (and Latin!) grammar; – our colleague J.P. Eckmann for his great skill in manipulating Apollo workstations, font tables, and the like; – the staff of the Geneva computing center and of the mathematics library for their constant help; – the planning and production group of Springer-Verlag for numerous suggestions on presentation and style Mathematics Global analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik Wanner, Gerhard Sonstige oth Nørsett, Syvert P. Sonstige oth Springer Series in Computational Mathematics 8 (DE-604)BV000012004 8 https://doi.org/10.1007/978-3-540-78862-1 Verlag Volltext |
| spellingShingle | Hairer, Ernst Solving Ordinary Differential Equations I Nonstiff Problems Springer Series in Computational Mathematics 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, Gerhard Wanner, Syvert P. Nørsett |
| title_fullStr | Solving Ordinary Differential Equations I Nonstiff Problems by Ernst Hairer, Gerhard Wanner, Syvert P. Nørsett |
| title_full_unstemmed | Solving Ordinary Differential Equations I Nonstiff Problems by Ernst Hairer, Gerhard Wanner, Syvert P. Nørsett |
| 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/10.1007/978-3-540-78862-1 |
| volume_link | (DE-604)BV000012004 |
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