Computational Methods For Integral Equations

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Computational Methods For Integral Equations

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Author : L. M. Delves
language : en
Publisher: CUP Archive
Release Date : 1985

Computational Methods For Integral Equations written by L. M. Delves and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.

This textbook provides a readable account of techniques for numerical solutions.

Computational Methods For Linear Integral Equations

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Author : Prem Kythe
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-28

Computational Methods For Linear Integral Equations written by Prem Kythe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-28 with Mathematics categories.

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.

The Numerical Treatment Of Integral Equations

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Author : Christopher T. H. Baker
language : en
Publisher: Oxford University Press, USA
Release Date : 1977

The Numerical Treatment Of Integral Equations written by Christopher T. H. Baker and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Business & Economics categories.

This book is concerned with the numerical analysis of integral equations. We are not principally concerned with the abstract theory of integral equations, nor with applications of mathematics where integral equations arise, but the first chapter is devoted to a review of the theory of integral equations. The survey of certain aspects of numerical analysis in chapter 2 is intended to emphasize various topics which are of relevance in the study of numerical methods for integral equations.

Numerical Solution Of Integral Equations

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Author : Michael A. Golberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Numerical Solution Of Integral Equations written by Michael A. Golberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.

In 1979, I edited Volume 18 in this series: Solution Methods for Integral Equations: Theory and Applications. Since that time, there has been an explosive growth in all aspects of the numerical solution of integral equations. By my estimate over 2000 papers on this subject have been published in the last decade, and more than 60 books on theory and applications have appeared. In particular, as can be seen in many of the chapters in this book, integral equation techniques are playing an increas ingly important role in the solution of many scientific and engineering problems. For instance, the boundary element method discussed by Atkinson in Chapter 1 is becoming an equal partner with finite element and finite difference techniques for solving many types of partial differential equations. Obviously, in one volume it would be impossible to present a complete picture of what has taken place in this area during the past ten years. Consequently, we have chosen a number of subjects in which significant advances have been made that we feel have not been covered in depth in other books. For instance, ten years ago the theory of the numerical solution of Cauchy singular equations was in its infancy. Today, as shown by Golberg and Elliott in Chapters 5 and 6, the theory of polynomial approximations is essentially complete, although many details of practical implementation remain to be worked out.

Solution Methods For Integral Equations

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Author : M. A. Goldberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21

Solution Methods For Integral Equations written by M. A. Goldberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Social Science categories.

Constructive And Computational Methods For Differential And Integral Equations

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Author : D. L. Colton
language : en
Publisher:
Release Date : 2014-09-01

Constructive And Computational Methods For Differential And Integral Equations written by D. L. Colton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.

Constructive And Computational Methods For Differential And Integral Equations Symposium

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Author : David L. Colton
language : en
Publisher:
Release Date : 1974

Constructive And Computational Methods For Differential And Integral Equations Symposium written by David L. Colton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Differential equations categories.

Constructive And Computational Methods For Differential And Integral Equations

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Author : D.L. Colton
language : en
Publisher: Springer
Release Date : 2006-11-15

Constructive And Computational Methods For Differential And Integral Equations written by D.L. Colton and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

Weighted Polynomial Approximation And Numerical Methods For Integral Equations

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Author : Peter Junghanns
language : en
Publisher: Springer Nature
Release Date : 2021-08-10

Weighted Polynomial Approximation And Numerical Methods For Integral Equations written by Peter Junghanns and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-10 with Mathematics categories.

The book presents a combination of two topics: one coming from the theory of approximation of functions and integrals by interpolation and quadrature, respectively, and the other from the numerical analysis of operator equations, in particular, of integral and related equations. The text focusses on interpolation and quadrature processes for functions defined on bounded and unbounded intervals and having certain singularities at the endpoints of the interval, as well as on numerical methods for Fredholm integral equations of first and second kind with smooth and weakly singular kernel functions, linear and nonlinear Cauchy singular integral equations, and hypersingular integral equations. The book includes both classic and very recent results and will appeal to graduate students and researchers who want to learn about the approximation of functions and the numerical solution of operator equations, in particular integral equations.

The Numerical Solution Of Integral Equations Of The Second Kind

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Author : Kendall E. Atkinson
language : en
Publisher: Cambridge University Press
Release Date : 1997-06-28

The Numerical Solution Of Integral Equations Of The Second Kind written by Kendall E. Atkinson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-28 with Mathematics categories.

This book provides an extensive introduction to the numerical solution of a large class of integral equations.