The numerical approximation of these equations necessitates specialised methods that balance computational efficiency with reliability.

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.

Scientists are rethinking the universe’s deepest mysteries using numerical relativity, complex computer simulations of Einstein’s equations in extreme conditions. This method could help ...

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 ...

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 ...