5. Conclusion
Integral equations used in traditional applications in physics
and engineering are well-understood, the basic results often dating
back to the early 1900’s. Newer applications, however, have led to
new forms of integral equations for which new theoretical understanding
is being developed. An example of the latter is ’fractional integral
equations’. The picture is much the same for the numerical analysis
of integral equations. A difference, however, is the influence of
changes in computing, e.g. greater parallelism, larger memory sizes,
faster CPU’s, changing machine architectures. Numerical algorithms
change to take available of these changes in computing. In addition,
further development of numerical methods is done for specific areas
of application, e.g. integral equations arising in electromagnetic
radiation, fluid mechanics, and other application areas. Much of the
work on boundary element...
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