Αρχική / Θετικές Επιστήμες / Μαθηματικά / Μαθηματική Ανάλυση / The Generalized Fourier Series Method: Bending of Elastic Plates

# The Generalized Fourier Series Method: Bending of Elastic Plates

ΣΥΓΓΡΑΦΕΙΣ
Τιμή
37,10 €
74,20 € -50%
Άμεσα διαθέσιμο
Παράδοση σε 1-3 ημέρες

Προσθήκη στα αγαπημένα

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.

Συγγραφείς: Constanda Christian, Doty Dale
Εκδότης: SPRINGER
Σελίδες: 254
ISBN: 9783030558512
Εξώφυλλο: Μαλακό Εξώφυλλο
Αριθμός Έκδοσης: 1
Έτος έκδοσης: 2020

1. The Mathematical Model.- 2. Generalized Fourier Series.- 3. Interior Dirichlet Problem.-  4. Interior Neumann Problem.- 5. Interior Robin Problem.-  6. Exterior Dirichlet Problem.- 7. Exterior Neumann Problem.- 8. Exterior Robin Problem.- A. Numerical Issues.- B. Numerical Integration.- C. Interior Boundary Value Problem for D[x,y].- D. Exterior Boundary Value Problems for D^A[X,y].- E. Numerical Integration of P[x,y] and P^A[x,y].- References.- Index.

Christian Constanda, MS, PhD, DSc, is the holder of the Charles W. Oliphant Endowed Chair in Mathematical Sciences at the University of Tulsa, USA. He is also the Chairman of the International Consortium on Integral Methods in Science and Engineering (IMSE).

Dale Doty, The University of Tulsa, Tulsa, OK, USA