Partial Differential Equations in Action : From Modelling to Theory
This book is designed as an advanced undergraduate or a first-year graduate course for students from various disciplines like applied mathematics, physics, engineering. The main purpose is on the one hand to train the students to appreciate the interplay between theory and modelling in problems aris...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Milano :
Springer Milan : Springer e-books
[20..].
Cham : Springer Nature |
| سلاسل: | Universitext
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
L'impression du document génère 566 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Partial differential equations in action, from modelling to theory, Sandro Salsa, Milan, Springer, 2008, 1 vol. (XV-556 p.), Universitext, 978-88-470-0751-2 |
| LEADER | 04173nam a22003737a 4500 | ||
|---|---|---|---|
| 001 | 940311 | ||
| 008 | 080505q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN123744059 | ||
| 020 | |a 9788847007529 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.353 | ||
| 084 | |a 35-XX. 2010 | ||
| 084 | |a 35-01. 2010 | ||
| 100 | 1 | |a Salsa, Sandro. | |
| 245 | 1 | 0 | |a Partial Differential Equations in Action : |b From Modelling to Theory |c Sandro Salsa. |
| 260 | |a Milano : |b Springer Milan : |b Springer e-books. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Universitext | |
| 500 | |a L'impression du document génère 566 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Diffusion The Laplace Equation Scalar Conservation Laws and First Order Equations Waves and Vibrations Elements of Functional Analysis Distributions and Sobolev Spaces Variational Formulation of Elliptic Problems Weak Formulation of Evolution Problems | |
| 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 is designed as an advanced undergraduate or a first-year graduate course for students from various disciplines like applied mathematics, physics, engineering. The main purpose is on the one hand to train the students to appreciate the interplay between theory and modelling in problems arising in the applied sciences; on the other hand to give them a solid theoretical background for numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first one has a rather elementary character with the goal of developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. Ideas and connections with concrete aspects are emphasized whenever possible, in order to provide intuition and feeling for the subject. For this part, a knowledge of advanced calculus and ordinary differential equations is required. Also, the repeated use of the method of separation of variables assumes some basic results from the theory of Fourier series, which are summarized in an appendix. The main topic of the second part is the development of Hilbert space methods for the variational formulation and analysis of linear boundary and initial-boundary value problems\emph{. }% Given the abstract nature of these chapters, an effort has been made to provide intuition and motivation for the various concepts and results. The understanding of these topics requires some basic knowledge of Lebesgue measure and integration, summarized in another appendix. At the end of each chapter, a number of exercises at different level of complexity is included. The most demanding problems are supplied with answers or hints. The exposition if flexible enough to allow substantial changes without compromising the comprehension and to facilitate a selection of topics for a one or two semester course | ||
| 650 | |a Équations aux dérivées partielles | ||
| 776 | 0 | |0 121751961 |t Partial differential equations in action |o from modelling to theory |f Sandro Salsa |c Milan |n Springer |d 2008 |p 1 vol. (XV-556 p.) |s Universitext |z 978-88-470-0751-2 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-88-470-0752-9 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-38FJF4D5-M |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747862168 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/978-88-470-0752-9 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:75087967X |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-88-470-0752-9 |z Accès INSA CVL | |
| 997 | |0 940311 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||