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...