The CHIDES manual

Contents:

• Introduction
• Quickstart
  • Grids
  • Approximating the solution by a piecewise polynomial
  • Initial data
  • Forming the Hermite interpolating polynomial
  • Evolving the Hermite interpolating polynomial
  • Second half timestep and boundary conditions
  • Compiling and Running the program
  • Displaying the results
  • Changing the order and number of gridpoints
• Examples
  • The transport equation in 1D
  • Acoustics in one dimension
  • Viscous Burgers’ equation in one dimension
  • The acoustic equations in two dimensions