This is a preview. Log in through your library . Abstract A general method is described to compute the exact error in the numerical integration of a given polynomial ...

Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical ...

We discuss the application of Peano theory, Lebesgue functions, and the theory of best polynomial approximation to the determination of a priori bounds on the error ...