Computational Methods for Integral Equations

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Release : 1985
Genre : Mathematics
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Book Rating : 968/5 ( reviews)

Computational Methods for Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Computational Methods for Integral Equations write by L. M. Delves. This book was released on 1985. Computational Methods for Integral Equations available in PDF, EPUB and Kindle. This textbook provides a readable account of techniques for numerical solutions.

Computational Methods for Linear Integral Equations

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Release : 2011-06-28
Genre : Mathematics
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Book Rating : 012/5 ( reviews)

Computational Methods for Linear Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Computational Methods for Linear Integral Equations write by Prem Kythe. This book was released on 2011-06-28. Computational Methods for Linear Integral Equations available in PDF, EPUB and Kindle. 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.

Analytical and Numerical Methods for Volterra Equations

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Release : 1985-01-01
Genre : Mathematics
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Book Rating : 852/5 ( reviews)

Analytical and Numerical Methods for Volterra Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analytical and Numerical Methods for Volterra Equations write by Peter Linz. This book was released on 1985-01-01. Analytical and Numerical Methods for Volterra Equations available in PDF, EPUB and Kindle. Presents an aspect of activity in integral equations methods for the solution of Volterra equations for those who need to solve real-world problems. Since there are few known analytical methods leading to closed-form solutions, the emphasis is on numerical techniques. The major points of the analytical methods used to study the properties of the solution are presented in the first part of the book. These techniques are important for gaining insight into the qualitative behavior of the solutions and for designing effective numerical methods. The second part of the book is devoted entirely to numerical methods. The author has chosen the simplest possible setting for the discussion, the space of real functions of real variables. The text is supplemented by examples and exercises.

Solution Methods for Integral Equations

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Release : 2013-11-21
Genre : Science
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Book Rating : 661/5 ( reviews)

Solution Methods for Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Solution Methods for Integral Equations write by M. A. Goldberg. This book was released on 2013-11-21. Solution Methods for Integral Equations available in PDF, EPUB and Kindle.

Numerical Solution of Integral Equations

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Release : 2013-11-11
Genre : Mathematics
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Book Rating : 937/5 ( reviews)

Numerical Solution of Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Solution of Integral Equations write by Michael A. Golberg. This book was released on 2013-11-11. Numerical Solution of Integral Equations available in PDF, EPUB and Kindle. 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.