ABSTRACT

The formulation of wave scattering and radiation problems in terms of integral equations has proved to be of great utility. In a few cases such a formulation has resulted in an exact solution. However, integral equations may also be used to obtain asymptotic approximations and to form the basis of accurate numerical methods. In this chapter we concentrate on the derivation of integral equations from a boundaryvalue problem and on the numerical solution of such equations. The reader might consult Porter and Stirling (1990) for detailed discussion of the theory of integral equations and Delves and Mohamed (1985) for more on the numerical solution of integral equations.