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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
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Numerical Solution of Integral Equations (Hardcover, 1990 ed.)
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Numerical Solution of Integral Equations (Hardcover, 1990 ed.)
Series: Mathematical Concepts and Methods in Science and Engineering, 42
Expected to ship within 10 - 15 working days
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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."
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