Exponentially convergent algorithms for abstract differential equations
This book presents new accurate and efficient exponentially convergent methods for abstract differential equations with unbounded operator coefficients in Banach space. These methods are highly relevant for practical scientific computing since the equations under consideration can be seen as the met...
محفوظ في:
| المؤلفون الرئيسيون: | , , , , |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2011. |
| سلاسل: | Frontiers in Mathematics
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
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: | • Exponentially convergent algorithms for abstract differential equations, Ivan Gavrilyuk, Volodymyr Makarov, Vitalii Vasylyk, Basel, Birkhäuser, 2011, 1 vol. (VIII-180 p.), Frontiers in Mathematics, 978-3-03-480118-8 • Exponentially Convergent Algorithms for Abstract Differential Equations, Texte imprimé, 9783034801201 |
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| 009 | PPN156308886 | ||
| 020 | |a 9783034801195 | ||
| 020 | |a 9783034801195 | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 084 | |a 65J10. 2010 | ||
| 084 | |a 65M70. 2010 | ||
| 084 | |a 35K90. 2010 | ||
| 084 | |a 35L90. 2010 | ||
| 100 | 1 | |a Gavrilyuk, Ivan, |d 19..- | |
| 245 | 1 | 0 | |a Exponentially convergent algorithms for abstract differential equations |c by Ivan Gavrilyuk, Volodymyr Makarov, Vitalii Vasylyk. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Basel : |b Springer Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Frontiers in Mathematics |x 1660-8054 | |
| 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 2 Preliminaries 3 The first-order equations 4 The second-order equations Appendix: Tensor-product approximations of the operator exponential Bibliography 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 This book presents new accurate and efficient exponentially convergent methods for abstract differential equations with unbounded operator coefficients in Banach space. These methods are highly relevant for practical scientific computing since the equations under consideration can be seen as the meta-models of systems of ordinary differential equations (ODE) as well as of partial differential equations (PDEs) describing various applied problems. The framework of functional analysis allows one to obtain very general but at the same time transparent algorithms and mathematical results which then can be applied to mathematical models of the real world. The problem class includes initial value problems (IVP) for first order differential equations with constant and variable unbounded operator coefficients in a Banach space (the heat equation is a simple example), boundary value problems for the second order elliptic differential equation with an operator coefficient (e.g. the Laplace equation), IVPs for the second order strongly damped differential equation as well as exponentially convergent methods to IVPs for the first order nonlinear differential equation with unbounded operator coefficients. For researchers and students of numerical functional analysis, engineering and other sciences this book provides highly efficient algorithms for the numerical solution of differential equations and applied problems. | ||
| 650 | |a Équations différentielles | ||
| 650 | |a Banach, Espaces de | ||
| 700 | 1 | |a Makarov, Volodymyr, |d 19..- |4 aut | |
| 700 | 1 | |a Vasylyk, Vitalii, |d 19..- |4 aut | |
| 700 | 1 | |a Makarov, Volodymyr. |4 aut | |
| 700 | 1 | |a Vasylyk, Vitalii. |4 aut | |
| 776 | 0 | |0 155038141 |t Exponentially convergent algorithms for abstract differential equations |f Ivan Gavrilyuk, Volodymyr Makarov, Vitalii Vasylyk |c Basel |n Birkhäuser |d 2011 |p 1 vol. (VIII-180 p.) |s Frontiers in Mathematics |z 978-3-03-480118-8 | |
| 776 | 0 | |t Exponentially Convergent Algorithms for Abstract Differential Equations |b Texte imprimé |z 9783034801201 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-0348-0119-5 |z Accès sur la plateforme de l'éditeur | |
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| 856 | 4 | |5 180339901:753972921 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-0348-0119-5 |z Accès INSA CVL | |
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