Integral equations have wide applications in various fields,
including continuum mechanics, potential theory, geophysics,
electricity and magnetism, kinetic theory of gases, hereditary
phenomena in physics and biology, renewal theory, quantum
mechanics, radiation, optimization, optimal control systems,
communication theory, mathematical economics, population genetics,
queueing theory, and medicine. Computational Methods for Linear
Integral Equations presents basic theoretical material that deals
with numerical analysis, convergence, error estimates, and
accuracy. The unique computational aspect leads the reader from
theoretical and practical problems all the way through to
computation with hands-on guidance for input files and the
execution of computer programs. Features: * Offers all supporting
Mathematica(R) files related to the book via the Internet at the
authors' Web sites: www.math.uno.edu/fac/pkythe.html or
www.math.uno.edu/fac/ppuri.html * Contains identification codes for
problems, related methods, and computer programs that are
cross-referenced throughout the book to make the connections easy
to understand * Illustrates a how-to approach to computational work
in the development of algorithms, construction of input files,
timing, and accuracy analysis * Covers linear integral equations of
Fredholm and Volterra types of the first and second kinds as well
as associated singular integral equations, integro-differential
equations, and eigenvalue problems * Provides clear, step-by-step
guidelines for solving difficult and complex computational problems
This book is an essential reference and authoritative resource for
all professionals, graduate students, and researchers in
mathematics, physical sciences, and engineering.Researchers
interested in the numerical solution of integral equations will
find its practical problem-solving style both accessible and useful
for their work.
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