Numerical Solution of Volterra Integral Equations with Continuous or Discontinuous Terms

Convergence criteria are given for the numerical solution ofVolterra integral equations with and without discontinuous terms.Several numerical methods are compared.     

Piecewise Polynomial Approximate Solutions of an Automatic Control Problem

This paper considers piecewise polynomial approximate solutionsof a variational problem in which boundary conditions dependon values on the solution at interior points. The approximatesolutions are shown to converge to the solution of the variationalproblem in the L² and uniform norms, and algorithms for findingthe approximate solutions are obtained. Numerical examples arealso given.