Titre : |
Partial differential equations in action : from modelling to theory |
Type de document : |
texte imprimé |
Auteurs : |
Sandro Salsa, Auteur ; Gianmaria Verzini (19..-..), Auteur |
Mention d'édition : |
4th edition |
Editeur : |
Cham, Switzerland : Springer |
Année de publication : |
C 2022 |
Collection : |
Unitext la matematica per il 3+2 num. 147 |
Importance : |
1 vol. (XVIII-677 p.) |
Format : |
24 cm |
ISBN/ISSN/EAN : |
978-3-031-21852-1 |
Langues : |
Anglais (eng) |
Mots-clés : |
Equations aux dérivés partielles |
Index. décimale : |
515.3 |
Résumé : |
This work is an updated version of a book evolved from courses offered on partial differential equations (PDEs) over the last several years at the Politecnico di Milano. These courses had a twofold purpose: on the one hand, to teach students to appreciate the interplay between theory and modeling in problems arising in the applied sciences, and on the other to provide them with a solid theoretical background for numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first part, chapters 2 to 5, is more elementary in nature and focuses on developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. In the second part, chapters 6 to 10 concentrate on the development of Hilbert spaces methods for the variational formulation and the analysis of (mainly) linear boundary and initial-boundary value problems, while Chapter 11 deals with vector-valued conservation laws, extending the theory developed in Chapter 4. The main differences with respect to the previous editions are: a new section on reaction diffusion models for population dynamics in a heterogeneous environment; several new exercises in almost all chapters; a general restyling and a reordering of the last chapters. The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering. |
Partial differential equations in action : from modelling to theory [texte imprimé] / Sandro Salsa, Auteur ; Gianmaria Verzini (19..-..), Auteur . - 4th edition . - Cham, Switzerland : Springer, C 2022 . - 1 vol. (XVIII-677 p.) ; 24 cm. - ( Unitext la matematica per il 3+2; 147) . ISBN : 978-3-031-21852-1 Langues : Anglais ( eng)
Mots-clés : |
Equations aux dérivés partielles |
Index. décimale : |
515.3 |
Résumé : |
This work is an updated version of a book evolved from courses offered on partial differential equations (PDEs) over the last several years at the Politecnico di Milano. These courses had a twofold purpose: on the one hand, to teach students to appreciate the interplay between theory and modeling in problems arising in the applied sciences, and on the other to provide them with a solid theoretical background for numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first part, chapters 2 to 5, is more elementary in nature and focuses on developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. In the second part, chapters 6 to 10 concentrate on the development of Hilbert spaces methods for the variational formulation and the analysis of (mainly) linear boundary and initial-boundary value problems, while Chapter 11 deals with vector-valued conservation laws, extending the theory developed in Chapter 4. The main differences with respect to the previous editions are: a new section on reaction diffusion models for population dynamics in a heterogeneous environment; several new exercises in almost all chapters; a general restyling and a reordering of the last chapters. The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering. |
|