The Generalized Fourier Series Method : Bending of Elastic Plates

Lingua: inglese

Editore: Palgrave Macmillan, 2020

3030558487 / 9783030558482

Serie: Libro 65 di 70 - Developments in Mathematics

Da: AHA-BUCH GmbH, Einbeck, GermaniaAHA-BUCH GmbH

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Venditore AbeBooks dal 14 agosto 2006

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nach der Bestellung gedruckt Neuware - Printed after ordering - This book explains in detail the generalized Fourier series technique for the approximate solution of a mathematical model governed by a linear elliptic partial differential equation or system with constant coefficients. The power, sophistication, and adaptability of the method are illustrated in application to the theory of plates with transverse shear deformation, chosen because of its complexity and special features. In a clear and accessible style, the authors show how the building blocks of the method are developed, and comment on the advantages of this procedure over other numerical approaches. An extensive discussion of the computational algorithms is presented, which encompasses their structure, operation, and accuracy in relation to several appropriately selected examples of classical boundary value problems in both finite and infinite domains. The systematic description of the technique, complemented by explanations of the use of the underlying software, will help the readers create their own codes to find approximate solutions to other similar models. The work is aimed at a diverse readership, including advanced undergraduates, graduate students, general scientific researchers, and engineers.The book strikes a good balance between the theoretical results and the use of appropriate numerical applications. The first chapter gives a detailed presentation of the differential equations of the mathematical model, and of the associated boundary value problems with Dirichlet, Neumann, and Robin conditions. The second chapter presents the fundamentals of generalized Fourier series, and some appropriate techniques for orthonormalizing a complete set of functions in a Hilbert space. Each of the remaining six chapters deals with one of the combinations of domain-type (interior or exterior) and nature of the prescribed conditions on the boundary. The appendices are designed to give insight into some of the computational issues that arise from the use of the numerical methods described in the book.Readers may also want to reference the authors' other books Mathematical Methods for Elastic Plates, ISBN: 978-1-4471-6433-3 and Boundary Integral Equation Methods and Numerical Solutions: Thin Plates on an Elastic Foundation, ISBN: 978-3-319-26307-6.…

Codice articolo 9783030558482

Titolo
The Generalized Fourier Series Method : Bending of Elastic Plates
Autore
Christian Constanda
Editore
Palgrave Macmillan
Anno di pubblicazione
2020
Condizione
Neu
Rilegatura
Buch
Lingua
inglese
ISBN 10
3030558487
ISBN 13
9783030558482
Peso dell'articolo
519 grammi
Dimensioni
241x160x21 mm
Serie
Libro 65 di 70: Developments in Mathematics

AHA-BUCH GmbH

Einbeck, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 14 agosto 2006

Tariffe di spedizione da Germania a U.S.A.

ArticoloDa 7 a 10 giorni lavorativiDa 5 a 7 giorni lavorativi
Primo articoloEUR 35,00EUR 45,00
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