All Outputs (4)

Case study using Python in the teaching of numerical analysis (2020)
Journal Article

In this case study we describe the rationale, methodology and results of teaching Python as part of a third year optional Numerical Analysis module taken by undergraduate BSc Mathematics students at the University of the West of England, Bristol. In... Read More about Case study using Python in the teaching of numerical analysis.

Energy-minimizing coarse spaces for two-level Schwarz methods for multiscale PDEs (2009)
Journal Article

Two-level overlapping Schwarz methods for elliptic partial differential equations combine local solves on overlapping domains with a global solve of a coarse approximation of the original problem. To obtain robust methods for equations with highly va... Read More about Energy-minimizing coarse spaces for two-level Schwarz methods for multiscale PDEs.

An algebraic multigrid method for high order time-discretizations of the div-grad and the curl-curl equations (2009)
Journal Article

We present an algebraic multigrid algorithm for fully coupled implicit Runge-Kutta and Boundary Value Method time-discretizations of the div-grad and curl-curl equations. The algorithm uses a blocksmoother and a multigrid hierarchy derived from the h... Read More about An algebraic multigrid method for high order time-discretizations of the div-grad and the curl-curl equations.

Local fourier analysis of multigrid for the curl-curl equation (2007)
Journal Article

We present a local Fourier analysis of multigrid methods for the two-dimensional curl-curl formulation of Maxwell's equations. Both the hybrid smoother proposed by Hiptmair and the overlapping block smoother proposed by Arnold, Falk, and Winther are... Read More about Local fourier analysis of multigrid for the curl-curl equation.