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

In many areas of science, through the use of modern computer-controlled instrumentation, highly accurate indirect measurements of the phenomenon/process of interest are being generated on a (very) ...

This paper first exposes some of the defects in the interval arithmetic algorithms of Moore and Krückeberg. Then it identifies classes of problems on which these algorithms compute "optimum bounds".

Numerical methods are the backbone of modern engineering and science. They provide computational techniques to approximate solutions for mathematical problems that are too complex, time-consuming, or ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...