Talks on my research



These are some research talks on data assimilation, meteorology, geometric integration, non-smooth dynamical systems, climate change, and mesh generation

  • Is the Mid Pleistocene Transition a Grazing Bifurcation?
  • The moving mesh SISL method
  • Moving meshes on the sphere
  • Data Assimilation in Meteorology
  • Discrete variational derivative methods with applications to PDEs
  • Optimal transport methods for mesh generation with applications to meteorology
  • Introduction to the geometric integration of ODEs
  • Adaptivity, scaling and geometric integration methods for PDEs
  • Some geometric integration methods for PDEs
  • Parabolic Monge-Ampere methods for mesh generation
  • Adaptivity and symmetry for ODEs and PDEs
    • This is a talk on emergent behaviour in large electrical networks, with application to complex dielectric materials
  • Emergent scaling laws in complex dielectric materials
    • These are two talks on maths in the food industry
  • The mathematics of digestion
  • Microwave cooking: theory and experiment
    • These are two talks on non-smooth dynamics
  • Chattering and grazing in impact oscillators
  • Bouncing, sliding and switching: bifurcations in piecewise-smooth systems
    • These are three talks that give a review of piecewise-smooth dynamics and were a mini course delivered at the UK-Japan Winter School in January 2009.
  • Piecewise-smooth dynamics: I. Introduction
  • Piecewise-smooth dynamics: II. Maps
  • Piecewise-smooth dynamics: III. Hybrid systems and the grazing bifurcation.
    • And a talk on folding and geology
  • Level set methods for multilayer geological folding
    • And a talk on GPS, Complexity and the Ionosphere
  • Imaging of complex behaviour in the upper atmosphere