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 ...

The numerical errors introduced by spectral algorithms typically decrease exponentially as the resolution increases, leading to very accurate solutions. While Fourier spectral methods are a classical ...

Numerical analysis, machine learning and scientific computing In this research field we are developing advanced computational methods centered around efficient solution strategies for partial ...

This journal, begun in 1943 as Mathematical Tables and Other Aids to Computation, publishes original articles on all aspects of numerical mathematics, book reviews, mathematical tables, and technical ...

In this paper some of the numerical problems associated with computing the generalized inverse of a matrix are discussed and illustrated by a detailed analysis of an iteration of Ben-Israel and Cohen.

I’ve written about numerical calculations before, but perhaps they weren’t too inspiring. What are numerical calculations? Here is my own definition. Numerical Calculations (numerical methods ...

Who doesn’t love numerical calculations? When I teach this stuff in class, students usually use the following recipe: Find the forces on the object. Find the new momentum (based on the force and ...