Domain decomposition methods constitute a fundamental strategy in numerical analysis, enabling the partitioning of large and complex computational problems into smaller, more manageable sub-problems.

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

In this research field we are developing advanced computational methods centered around efficient solution strategies for partial differential equations. In numerical analysis, we focus on developing ...

Solution of nonlinear algebraic equations, interpolation, integration, approximation, and numerical linear algebra. Prereq., APPM 3310 or MATH 3130, and experience with a scientific programming ...

We propose a new concept which allows us to apply any numerical method of weak approximation to a very broad class of stochastic differential equations (SDEs) with nonglobally Lipschitz coefficients.

Explore our campus, meet lecturers and current students, and learn more about what it's like to study at Manchester. The Department of Mathematics has an outstanding research reputation. The research ...