Exponential integrability properties of numerical approximations are a key tool for establishing positive rates of strong and numerically weak convergence for a large class of nonlinear stochastic ...

Abstract. Numerical approximations to the solution of a linear singularly perturbed parabolic convection-diffusion problem are generated using a backward Euler method in time and an upwinded finite ...

It is now possible to improve the precision of well survey calculations by order of magnitude with numerical approximation.

It teaches the key building blocks of numerical analysis such as function approximation and numerical integration. The course shows how these techniques are used in perturbation and projection methods ...

What if the Big Bang wasn’t truly the beginning? A team of cosmologists is using the power of supercomputers to push past the limits of Einstein’s equations and explore mysteries once thought ...

Asking what existed before the Big Bang is often dismissed as meaningless, since traditional physics breaks down when pushed ...

This is an extreme scenario for which it is impossible to solve Einstein's equations with paper and pen alone—sophisticated computer code and numerical approximations are required.