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Computational Methods for Linear Integral Equations

  • Prem K. Kythe
  • Pratap Puri

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Prem K. Kythe, Pratap Puri
    Pages 1-43
  3. Prem K. Kythe, Pratap Puri
    Pages 44-89
  4. Prem K. Kythe, Pratap Puri
    Pages 90-105
  5. Prem K. Kythe, Pratap Puri
    Pages 106-129
  6. Prem K. Kythe, Pratap Puri
    Pages 130-145
  7. Prem K. Kythe, Pratap Puri
    Pages 146-174
  8. Prem K. Kythe, Pratap Puri
    Pages 175-212
  9. Prem K. Kythe, Pratap Puri
    Pages 213-251
  10. Prem K. Kythe, Pratap Puri
    Pages 252-285
  11. Prem K. Kythe, Pratap Puri
    Pages 286-320
  12. Prem K. Kythe, Pratap Puri
    Pages 321-374
  13. Prem K. Kythe, Pratap Puri
    Pages 375-415
  14. Back Matter
    Pages 416-508

About this book

Introduction

This book presents numerical methods and computational aspects for linear integral equations. Such equations occur in various areas of applied mathematics, physics, and engineering. The material covered in this book, though not exhaustive, offers useful techniques for solving a variety of problems. Historical information cover­ ing the nineteenth and twentieth centuries is available in fragments in Kantorovich and Krylov (1958), Anselone (1964), Mikhlin (1967), Lonseth (1977), Atkinson (1976), Baker (1978), Kondo (1991), and Brunner (1997). Integral equations are encountered in a variety of applications in many fields including continuum mechanics, potential theory, geophysics, electricity and mag­ netism, kinetic theory of gases, hereditary phenomena in physics and biology, renewal theory, quantum mechanics, radiation, optimization, optimal control sys­ tems, communication theory, mathematical economics, population genetics, queue­ ing theory, and medicine. Most of the boundary value problems involving differ­ ential equations can be converted into problems in integral equations, but there are certain problems which can be formulated only in terms of integral equations. A computational approach to the solution of integral equations is, therefore, an essential branch of scientific inquiry.

Keywords

Integral equation Integral equations Internet Mathematica algorithms complex analysis computational equations computer numerical analysis optimization

Authors and affiliations

  • Prem K. Kythe
    • 1
  • Pratap Puri
    • 2
  1. 1.University of New OrleansNew OrleansUSA
  2. 2.Department of MathematicsUniversity of New OrleansNew OrleansUSA

Bibliographic information