Partial Differential Equations in Action

Name: Partial Differential Equations in Action
Brand: Springer Verlag
SKU: 9788847007512
Price: 58.92 EUR
Availability: InStock

Perspectives and Applications

Autor: S. Salsa

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer Verlag

Dostupnosť: Skladom u dodávateľa v malom množstve

Odosielame za 13-18 dní

58.92 €

§The main purpose is on the one hand to train the students to appreciate the interplay between theor...

Informácie o knihe

Autor

S. Salsa

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2007

Stránok

556

EAN

9788847007512

ISBN

8847007518

Enbook ID

01966810

Vydavateľ

Springer Verlag

Hmotnosť

1058

Rozmery

234 x 156 x 34

Kompletný popis

§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 problemsemph{. }%. 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.

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Partial Differential Equations in Action

Perspectives and Applications

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