Hilary Weller’s lecture notes, teaching material and videos

Hilary Weller <h.weller@reading.ac.uk>

• Climate modelling summer school notes on numerical methods. September 2021

• Mathematics for Planet Earth Summer School Notes. June 2019

  • Spatial discretisation for Global Atmospheric Models. Student version

  • Spatial discretisation for Global Atmospheric Models. Lecturer version

  • Temporal discretisation for Atmospheric Models. Student version

  • Temporal discretisation for Atmospheric Models. Lecturer version

• DCMIP 2016 Lectures

• MTMW12: Introduction to Numerical Methods

• Mathematics for Planet Earth Numerics

• Pre-requisite Mathematics Worksheet and answers

• Diversity in the classroom

• You may also find my Youtube channel on numerical methods for atmospheric science useful:

  • Waves and Dispersion

  • Taylor Series A series of 4 (or 5) short videos introducing Taylor series and how they are used to find numerical approximations

    • Introduction to Taylor Series
    • Using Taylor series to find gradients
    • Using Taylor series to find a centred, 2nd order gradient
    • Estimating the order of converge
    • Interpolation and Taylor series

  • Fourier Analysis

  • The Navier Stokes equations for atmosphere and ocean modelling

  • Lectures for Mathematics for Planet Earth MRes course on numerics (Advection schemes, Stability Analysis, Conservation, Numerical Dispersion, Shallow Water Equations and Arakawa Grids)

  • Parallel computing and finite elements

Comments to h.weller@reading.ac.uk (fast response)