1.

Record Nr.

UNINA9910779749303321

Autore

Cassel Kevin W. <1966->

Titolo

Variational methods with applications in science and engineering / / Kevin W. Cassel [[electronic resource]]

Pubbl/distr/stampa

Cambridge : , : Cambridge University Press, , 2013

ISBN

1-107-06511-9

1-316-09067-1

1-139-13686-0

1-107-05778-7

1-107-05904-6

1-107-25551-1

1-107-05555-5

1-107-05666-7

Descrizione fisica

1 online resource (xvii, 413 pages) : digital, PDF file(s)

Disciplina

515/.64

Soggetti

Variational principles

Science - Methodology

Engineering - Methodology

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

pt. 1. Variational methods -- pt. 2. Physical applications -- pt. 3. Optimization.

Sommario/riassunto

There is a resurgence of applications in which the calculus of variations has direct relevance. In addition to application to solid mechanics and dynamics, it is now being applied in a variety of numerical methods, numerical grid generation, modern physics, various optimization settings and fluid dynamics. Many applications, such as nonlinear optimal control theory applied to continuous systems, have only recently become tractable computationally, with the advent of advanced algorithms and large computer systems. This book reflects the strong connection between calculus of variations and the applications for which variational methods form the fundamental foundation. The mathematical fundamentals of calculus of variations (at least those



necessary to pursue applications) is rather compact and is contained in a single chapter of the book. The majority of the text consists of applications of variational calculus for a variety of fields.