Erschienen: 19.03.2015 Abbildung von Salsa | Partial Differential Equations in Action | 2nd ed. 2015 | 2015 | From Modelling to Theory | 86

Salsa

Partial Differential Equations in Action

From Modelling to Theory

Buch. Softcover

2nd ed. 2015. 2015

xviii, 701 S.

ISBN 978-3-319-15092-5

Format (B x L): 15,5 x 23,5 cm

Das Werk ist Teil der Reihe: UNITEXT; 86 La Matematica per il 3+2

Produktbeschreibung

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.

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