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 MathematicaA(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.
General
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