Exact and truncated difference schemes for boundary value ODEs
The book provides a comprehensive introduction to compact finite difference methods for solving boundary value ODEs with high accuracy. The corresponding theory is based on exact difference schemes (EDS) from which the implementable truncated difference schemes (TDS) are derived. The TDS are now com...
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| Glavni autori: | , , |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Izdanje: | 1st ed. 2011. |
| Serija: | International Series of Numerical Mathematics
159 |
| Teme: | |
| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Bilješka: |
Description d'après consultation du 18 février 2013 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Exact and truncated difference schemes for boundary value ODEs, Ivan P. Gavrilyuk, Martin Hermann, Volodymyr L. Makarov... [et al.], Basel, Birkhäuser-Springer, 2011, 1 vol. (XI-247 p.), International series of numerical mathematics, 978-3-0348-0106-5 |
| LEADER | 04058nam a22004337a 4500 | ||
|---|---|---|---|
| 001 | 973357 | ||
| 008 | 111115q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN156310384 | ||
| 020 | |a 9783034801072 | ||
| 020 | |a 9783034801072 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.352 | ||
| 100 | 1 | |a Gavrilyuk, Ivan, |d 19..- | |
| 245 | 1 | 0 | |a Exact and truncated difference schemes for boundary value ODEs |c by Ivan Gavrilyuk, Martin Hermann, Volodymyr Makarov. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Basel : |b Springer Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a International Series of Numerical Mathematics |v 159 |x 2296-6072 | |
| 500 | |a Description d'après consultation du 18 février 2013 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Preface 1 Introduction and a short historical overview 2 2-point difference schemes for systems of ODEs 3 3-point difference schemes for scalar monotone ODEs 4 3-point difference schemes for systems of monotone ODEs 5 Difference schemes for BVPs on the half-axis 6 Exercises and solutions Index | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The book provides a comprehensive introduction to compact finite difference methods for solving boundary value ODEs with high accuracy. The corresponding theory is based on exact difference schemes (EDS) from which the implementable truncated difference schemes (TDS) are derived. The TDS are now competitive in terms of efficiency and accuracy with the well-studied numerical algorithms for the solution of initial value ODEs. Moreover, various a posteriori error estimators are presented which can be used in adaptive algorithms as important building blocks. The new class of EDS and TDS treated in this book can be considered as further developments of the results presented in the highly respected books of the Russian mathematician A. A. Samarskii. It is shown that the new Samarskii-like techniques open the horizon for the numerical treatment of more complicated problems. The book contains exercises and the corresponding solutions enabling the use as a course text or for self-study. Researchers and students from numerical methods, engineering and other sciences will find this book provides an accessible and self-contained introduction to numerical methods for solving boundary value ODEs | ||
| 650 | |a Équations différentielles aux différences |x Problèmes et exercices | ||
| 650 | |a Équations différentielles |x Problèmes et exercices | ||
| 650 | |a Équations aux différences |x Problèmes et exercices | ||
| 650 | |a Problèmes aux limites |x Problèmes et exercices | ||
| 700 | 1 | |a Hermann, Martin, |d 19..- |4 aut | |
| 700 | 1 | |a Makarov, Volodymyr, |d 19..- |4 aut | |
| 776 | 0 | |0 16128423X |t Exact and truncated difference schemes for boundary value ODEs |f Ivan P. Gavrilyuk, Martin Hermann, Volodymyr L. Makarov... [et al.] |c Basel |n Birkhäuser-Springer |d 2011 |p 1 vol. (XI-247 p.) |s International series of numerical mathematics |z 978-3-0348-0106-5 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-0348-0107-2 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-CPM4BDRT-C |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:75061353X |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-0348-0107-2 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753972417 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-0348-0107-2 |z Accès INSA CVL | |
| 997 | |0 973357 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||