Solving ordinary differential equations. I, Nonstiff problems
Gorde:
| Egile Nagusiak: | , , |
|---|---|
| Formatua: | Livre numérique |
| Hizkuntza: | Anglais |
| Argitaratua: |
Cham :
Springer International publishing
[20..].
Cham : Springer Nature |
| Edizioa: | 2nd revised edition. |
| Gaiak: | |
| Sarrera elektronikoa: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Oharra: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Variante du titre: | Nonstiff problems |
| Edition sous un autre format: | • Solving ordinary differential equations, I, Nonstiff problems, E. Hairer, S.P. Nørsett, G. Wanner, 2nd revised edition, corrected 3rd printing, Berlin, Springer, 2008, 1 vol. (XV-528 p.), Springer series in computational mathematics, 978-3-540-56670-0 |
| LEADER | 04489nam a22004097a 4500 | ||
|---|---|---|---|
| 001 | 974449 | ||
| 008 | 160930q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN195469690 | ||
| 020 | |a 9783540788621 | ||
| 041 | 0 | |a eng | |
| 084 | |a 65Lxx. 2010 | ||
| 084 | |a 34A50. 2010 | ||
| 100 | 1 | |a Hairer, Ernst, |d 1949-...., |c mathématicien. | |
| 240 | 1 | 0 | |a Nonstiff problems |
| 245 | 1 | 0 | |a Solving ordinary differential equations. |n I, |p Nonstiff problems |c E. Hairer, S.P. Nørsett, G. Wanner. |
| 250 | |a 2nd revised edition. | ||
| 260 | |a Cham : |b Springer International publishing. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. [491]-519 de l'édition imprimée. Index | ||
| 505 | 0 | |a Chapter I, Classical mathematical theory -- Chapter II, Runge-Kutta and extrapolation methods -- Chapter III, Multistep methods and general linear methods -- I.1, Terminology -- I.2, The oldest differential equations -- I.3, Elementary integration methods -- I.4, Linear differential equations -- I.5, Equations with weak singularities -- I.6, Systems of equations -- I.7, A general existence theorem -- I.8, Existence theory using iteration methods and Taylor series -- I.9, Existence theory for systems of equations -- I.10, Differential inequalities -- I.11, Systems of linear differential equations -- I.12, Systems with constant coefficients -- I.13, Stability -- I.14, Derivatives with respect to parameters and initial values -- I.15, Boundary value and eigenvalue problems -- I.16, Periodic solutions, limit cycles, strange attractors -- II.1, The first Runge-Kutta methods -- II.2, Order conditions for Runge-Kutta methods -- II.3, Error estimation and convergence for RK methods -- II.4, Practical error estimation and step size selection -- II.5, Explicit Runge-Kutta methods of higher order -- II.6, Dense output, discontinuities, derivatives -- II.7, Implicit Runge-Kutta methods -- II.8, Asymptotic expansion of the global error -- II.9, Extrapolation methods -- II.10, Numerical comparisons -- II.11, Parallel methods -- II.12, Composition of B-series -- II.13, Higher derivative methods -- II.14, Numerical methods for second order differential equations -- II.15, P-series partitioned differential equations -- II.16, Sympletic integration methods -- II.17, Delay differential methods -- III.1, Classical linear multistep formulas -- III.2, Local error and order conditions -- III.3, Stability and the first Dahlquist barrier -- III.4, Convergence and multistep methods -- III.5, variable step size multistep methods -- III.6, Nordsieck methods -- III.7, Implementation and numerical comparisons -- III.8, General linear methods -- III. 9, Asymptotic expansion of the global error -- III.10, Multistep methods for second order differential equations -- Appendix, Fortran codes | |
| 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 | ||
| 650 | |a Équations différentielles |x Solutions numériques | ||
| 650 | |a Méthode de Runge-Kutta | ||
| 650 | |a Problèmes aux valeurs initiales | ||
| 650 | |a Calculs numériques | ||
| 700 | 1 | |a Nørsett, Syvert Paul, |d 1944- |4 aut | |
| 700 | 1 | |a Wanner, Gerhard, |d 1942- |4 aut | |
| 776 | 0 | |0 169223671 |t Solving ordinary differential equations |h I |i Nonstiff problems |f E. Hairer, S.P. Nørsett, G. Wanner |e 2nd revised edition, corrected 3rd printing |c Berlin |n Springer |d 2008 |p 1 vol. (XV-528 p.) |s Springer series in computational mathematics |z 978-3-540-56670-0 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-540-78862-1 |z Accès sur la plateforme de l'éditeur | |
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| 997 | |0 974449 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||