Partial Differential Equations in Action
From Modelling to Theory
Seiten
2015
|
2nd ed. 2015
Springer International Publishing (Verlag)
978-3-319-15092-5 (ISBN)
Springer International Publishing (Verlag)
978-3-319-15092-5 (ISBN)
- Titel erscheint in neuer Auflage
- Artikel merken
Zu diesem Artikel existiert eine Nachauflage
The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering. It has 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 in 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 turn the second part, chapters 6 to 11, concentrates on the development of Hilbert spaces methods for the variational formulation and the analysis of (mainly) linear boundary and initial-boundary value problems.
Prof. Sandro Salsa, Dipartimento di Matematica, Politecnico di Milano, Italy.
1 Introduction.- 2 Diffusion.- 3 The Laplace Equation.- 4 Scalar Conservation Laws and First Order Equations.- 5 Waves and vibrations.- 6 Elements of Functional Analysis.- 7 Distributions and Sobolev Spaces.- 8 Variational formulation of elliptic problems.- 9 Further Applications.- 10 Weak Formulation of Evolution Problems.- 11 Systems of Conservation Laws.- 12 A Fourier Series.- 13 B Measures and Integrals.- 14 C Identities and Formulas.
| Reihe/Serie | La Matematica per il 3+2 | UNITEXT ; 86 |
|---|---|
| Zusatzinfo | XVIII, 701 p. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 1203 g |
| Themenwelt | Mathematik / Informatik ► Mathematik |
| Schlagworte | Analysis • boundary value problems • Hilbert spaces method • Modelling • PDE |
| ISBN-10 | 3-319-15092-8 / 3319150928 |
| ISBN-13 | 978-3-319-15092-5 / 9783319150925 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Von Logik und Mengenlehre bis Zahlen, Algebra, Graphen und …
Buch | Softcover (2024)
De Gruyter Oldenbourg (Verlag)
CHF 104,90
fundiert, vielseitig, praxisnah
Buch | Softcover (2021)
Springer Berlin (Verlag)
CHF 46,15
Analysis und Lineare Algebra mit Querverbindungen
Buch | Hardcover (2022)
Springer Spektrum (Verlag)
CHF 89,95
