Numerical solution of integral equations.

Golberg, Michael A.

ISBN 10: 0306432625 / ISBN 13: 9780306432620

Published by New York [u.a.], Plenum Press., 1990

About this Item

Gr.-8°. XIII, 417 S. OLn. mit OU. (Mathematical concepts and methods in science and engineering Bd. 42). Einband etwas berieben. Rücken und Schutzumschlag mit Bibliothekssign. u. St. a. T., sonst sehr gutes Exemplar. Sprache: englisch.

Seller Inventory # 99021DB

Bibliographic Details

• Title: Numerical solution of integral equations.
• Publisher: New York [u.a.], Plenum Press.
• Publication Date: 1990
• Language: English
• ISBN 10: 0306432625
• ISBN 13: 9780306432620
• Binding: Hardcover
• Dust Jacket Condition: Dust Jacket Included
• Seller catalogs:
  • Naturwissenschaften

About this title

Synopsis

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.