Partial Differential Equations in Action

Name: Partial Differential Equations in Action | From Modelling to Theory
Brand: Springer
Price: 74.89 EUR
Availability: OnlineOnly

From Modelling to Theory

Sandro Salsa(Autor*in)

Springer (Verlag)

2. Auflage

Erschienen am 24. April 2015

XVIII, 701 Seiten

E-Book

PDF mit Wasserzeichen-DRM

Systemvoraussetzungen

978-3-319-15093-2 (ISBN)

74,89 €inkl. 7% MwSt.

Systemvoraussetzungen

für PDF mit Wasserzeichen-DRM

E-Book Einzellizenz

Als Download verfügbar

Zur neuen Auflage

Beschreibung

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.

Rezensionen / Stimmen

"This book, presented at the advanced undergraduate or first year graduate level, presents a very interesting mix of physical applications and abstract theory supporting rigorous existence and regularity results for PDEs. . Rigorous approaches, including Sobolev spaces, dual spaces, distribution theory, and weak solutions, are introduced in a transparent, well-motivated fashion, achieving a level that allows one to make contact with the professional literature." (Peter Bernard Weichman, Mathematical Reviews, May, 2016)

"In this advanced textbook, Salsa (Politecnico di Milano, Italy) provides a well-written book blending abstract theory with examples. . The author explains theory and models clearly, using techniques such as well-thought-out examples, theorems and proofs, and reader-posed questions with answers and exercises at the end of each chapter. . Summing Up: Recommended. Graduate students and researchers/faculty." (S. L. Sullivan, Choice, Vol. 53 (4), December, 2015)

Partial Differential Equations in Action

Beschreibung

Rezensionen / Stimmen

Weitere Details

Weitere Ausgaben

Person

Inhalt

Systemvoraussetzungen