An operational formulation of the Tau method, based on a reduced set of matrix operations, is presented in this paper. It is applicable to the numerical solution of linear and nonlinear initialâ€¦ (More)

We apply a recent new formulation of the Tau Method to reduce the numerical treatment of eigenvalue problems for ordinary and partialfunctional-differential equations to that of generalized algebraicâ€¦ (More)

In this paper we discuss two related but analytically different techniques: the collocation method and Ortiz's recursive formulation of the Tau Method. Specifically, we show that it is possible toâ€¦ (More)

A technique for the numerical solution of eigenvalue problems defined by differential equations, based on an operational approach to the Tau method recently proposed by the authors, is shown to beâ€¦ (More)

A Tau Method approximate solution of a given differential equation defined on a compact [a, b] is obtained by adding to the right hand side of the equation a specific minimal polynomial perturbationâ€¦ (More)

This column is a forum for discussion of mathematical communities throughout the world, and through all time. Our definition of "mathematical community" is the broadest. We include "schools" ofâ€¦ (More)