Polynomial spline collocation methods for second-order Volterra integrodifferential equations (Q1777826)

The paper describes polynomial spline collocation methods for the solution of certain second order Volterra integro-differential equations and provides results on convergence and super-convergence of the approximate solution. Following a brief introduction, where the problem is defined, and some earlier literature (mainly from the 1980s) is referenced, the paper provides a quite detailed overview of the method and how it is constructed. Convergence criteria are established and there is a discussion of superconvergence at the mesh points. The paper concludes with numerical examples and a commentary.