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Integral Methods in Science and Engineering

Theoretical and Practical Aspects

  • C. Constanda
  • Z. Nashed
  • D. Rollins

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Mario Ahues, Alain Largillier
    Pages 1-15
  3. Ivanilda B. Aseka, Marco T. Vilhena, Haroldo F. Campos Velho
    Pages 17-27
  4. Igor Chudinovich, Christian Constanda
    Pages 29-35
  5. Igor Chudinovich, Christian Constanda
    Pages 37-45
  6. Charles W. Groetsch
    Pages 71-77
  7. Alexander O. Ignatyev, Oleksiy A. Ignatyev
    Pages 105-116
  8. Shirley Pomeranz, Gilbert Lewis, Christian Constanda
    Pages 235-244
  9. Seppo Seikkala, Markku Hihnala
    Pages 251-256
  10. Hua Shan, Jianzhong Su, Florin Badiu, Jiansen Zhu, Leon Xu
    Pages 257-269
  11. Sergio Wortmann, Marco T. Vilhena, Haroldo F. Campos Velho, Cynthia F. Segatto
    Pages 299-308
  12. Back Matter
    Pages 309-312

About this book

Introduction

The quantitative and qualitative study of the physical world makes use of many mathematical models governed by a great diversity of ordinary, partial differential, integral, and integro-differential equations. An essential step in such investigations is the solution of these types of equations, which sometimes can be performed analytically, while at other times only numerically. This edited, self-contained volume presents a series of state-of-the-art analytic and numerical methods of solution constructed for important problems arising in science and engineering, all based on the powerful operation of (exact or approximate) integration.

The book, consisting of twenty seven selected chapters presented by well-known specialists in the field, is an outgrowth of the Eighth International Conference on Integral Methods in Science and Engineering, held August 2–4, 2004, in Orlando, FL. Contributors cover a wide variety of topics, from the theoretical development of boundary integral methods to the application of integration-based analytic and numerical techniques that include integral equations, finite and boundary elements, conservation laws, hybrid approaches, and other procedures.

The volume may be used as a reference guide and a practical resource. It is suitable for researchers and practitioners in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines.

Keywords

Boundary value problem Integral equation Numerical integration Operator Potential Simulation Wavelet calculus development electrical engineering mathematics numerical methods physics science stability

Editors and affiliations

  • C. Constanda
    • 1
  • Z. Nashed
    • 2
  • D. Rollins
    • 2
  1. 1.Department of Mathematical and Computer SciencesUniversity of TulsaTulsaUSA
  2. 2.Department of MathematicsUniversity of Central FloridaOrlandoUSA

Bibliographic information