Syllabus

  • Set up diffusion, Poisson and wave equations up to 2 spatial dimensions and time
  • Set up the mathematical model and algorithms for these equations, with boundary and initial conditions. Their stability conditions.
  • Explicit, implicit and Crank-Nicolson schemes, and how to solve them. Remember that they result in triangular matrices.
  • How to compute the Laplacian in Poisson's equation.
  • How to solve the wave equation in one and two dimensions.