SET OF MODULES FOR THE SOLUTION OF INTEGRAL EQUATIONS.

Abstract

The provision of software for the solution of integral equations is complicated by the fact that the integral equations arising from practical calculations are very diverse in form, and usually fail to fit into any of the standard categories (Fredholm or Volterra first and second kind, Fredholm third kind) for which routines are normally provided. A description is given of a set of ALGOL 68 modules which provide considerable flexibility in the types of equations which can be handled, while retaining reasonable run time efficiency. The modules yield a user interface which is recognisably close to that of the underlying mathematical formalism, and demonstrate the advantages of an extensible language such as ALGOL 68 in providing such a 'natural' interface without the need for an ad hoc preprocessor.