Difference equations, as discrete analogues of differential equations, form a fundamental mathematical framework for describing systems that evolve incrementally over time or space. Coupled with ...

This paper presents a new approach to spectral methods for initial boundary value problems. A filtered version of the partial differential equation and the initial and boundary conditions at an ...

A survey of the many different projection methods for the numerical solution of two-point boundary value problems is given along with an introduction to the techniques by which their convergence is ...