2007-10-05 Sean Buckeridge (University of Bath) Multigrid on a Sphere 2007-10-12 Klaus Böhmer (Philipps-Universität Marburg) Numerical Methods for Nonlinear Elliptic problems, a Synopsis 2007-10-19 Alastair Spence (University of Bath) Dynamical Systems and Non-Hermitian Iterative Eigensolvers 2007-10-26 Ken Thomas (School of Electronics and Computer Science, University of Southampton) Nullspace Free Solutions of the Algebraic Eigenvalue Problem 2007-11-02 Tatiana Kim (University of Bath) Computation of the Highly-Oscillatory Rayleigh Integral on Planar Domains 2007-11-09 Laura Hewitt (University of Bath) Conservative Methods for ODEs 2007-11-16 Bruce Boutelje (University of Bath) Nonautonomous Stability of Linear Multistep Methods 2007-12-07 Karl Meerbergen (Katholieke Universiteit Leuven) The Lanczos method for Rayleigh damping 2007-12-14 Fynn Scheben (University of Bath) Neutron transport theory and criticality computations