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Book The Generalized Fourier Series Method

Download or read book The Generalized Fourier Series Method written by Christian Constanda and published by Springer Nature. This book was released on 2020-11-21 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Masters Theses and Doctoral Dissertations in the Pure and Applied Sciences Accepted by Colleges and Universities of the United States

Download or read book Masters Theses and Doctoral Dissertations in the Pure and Applied Sciences Accepted by Colleges and Universities of the United States written by and published by . This book was released on 1968 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book International Aerospace Abstracts

Download or read book International Aerospace Abstracts written by and published by . This book was released on 1997 with total page 940 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Trend in Engineering at the University of Washington Newsletter

Download or read book Trend in Engineering at the University of Washington Newsletter written by and published by . This book was released on 1965 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Scientific and Technical Aerospace Reports

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Applied Mechanics Reviews

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Society Records

Download or read book Society Records written by American Society of Mechanical Engineers and published by . This book was released on 1973 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Journal of Engineering for Industry

Download or read book Journal of Engineering for Industry written by and published by . This book was released on 1962 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Dissertation Abstracts International

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2008 with total page 906 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book TEXTBOOK OF FINITE ELEMENT ANALYSIS

Download or read book TEXTBOOK OF FINITE ELEMENT ANALYSIS written by P. SESHU and published by PHI Learning Pvt. Ltd.. This book was released on 2003-01-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for a one-semester course in Finite Element Method, this compact and well-organized text presents FEM as a tool to find approximate solutions to differential equations. This provides the student a better perspective on the technique and its wide range of applications. This approach reflects the current trend as the present-day applications range from structures to biomechanics to electromagnetics, unlike in conventional texts that view FEM primarily as an extension of matrix methods of structural analysis. After an introduction and a review of mathematical preliminaries, the book gives a detailed discussion on FEM as a technique for solving differential equations and variational formulation of FEM. This is followed by a lucid presentation of one-dimensional and two-dimensional finite elements and finite element formulation for dynamics. The book concludes with some case studies that focus on industrial problems and Appendices that include mini-project topics based on near-real-life problems. Postgraduate/Senior undergraduate students of civil, mechanical and aeronautical engineering will find this text extremely useful; it will also appeal to the practising engineers and the teaching community.

Book Abstracts of Theses

Download or read book Abstracts of Theses written by Georgia Institute of Technology. Library and published by . This book was released on 1971 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Abstracts of Theses

    Book Details:
  • Author : Georgia Institute of Technology
  • Publisher :
  • Release :
  • ISBN :
  • Pages : 790 pages

Download or read book Abstracts of Theses written by Georgia Institute of Technology and published by . This book was released on with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Aerospace Engineering Index

Download or read book Aerospace Engineering Index written by and published by . This book was released on 1959 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Finite Element Modeling for Stress Analysis

Download or read book Finite Element Modeling for Stress Analysis written by Robert D. Cook and published by John Wiley & Sons. This book was released on 1995-01-12 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate text is designed for those who will use finite elements in their daily work. It emphasizes the behaviour of finite elements, and describes how to use the methods successfully while including enough theory to explain why elements behave as they do.

Book Index to Theses with Abstracts Accepted for Higher Degrees by the Universities of Great Britain and Ireland and the Council for National Academic Awards

Download or read book Index to Theses with Abstracts Accepted for Higher Degrees by the Universities of Great Britain and Ireland and the Council for National Academic Awards written by and published by . This book was released on 2007 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: