Physics 410: Finite Difference Methods

• Source code covered in class can be found on the phys410 account on sgi1 in ~phys410/fd/wave.
• General References
  • Numerical Recipes
• Lecture 1 (Oct 19)
  • Handout (PS) and slides (PS).
• Lectures 5 & 6 (Oct 31, Nov 2)
  • Neville's algorithm: Numerical Recipes Section 3.1 (PS).
• Lectures 7 & 8 (Nov 2, Nov 7)
  • Notes on the 1D Wave Equation: Handout (PS) and slides (PS).
  • gpwave.f: Handout (PS) and slides (PS).
    This program illustrates the output of time series of one-dimensional profiles (i.e. f(x,t) for subsequent plotting (surface plot) using gnuplot. Sample usage on sgi1; gnuplot command file, and surface plot (PS). Use help splot in gnuplot for more information on making surface plots.
• Refer to the Course Software entries on
  • vsxynt
  • scivis
  • sdftosv
  for information on a more powerful way to visualize data from simulations in one space dimension and time. Note that scivis can even visualize results from simulations in two- or three- space dimensions. I hope that many of you will be able to use scivis profitably for your term projects.

• Additional Material for Homework 5 (Nov 9)
  • Handout (PS) and slides (PS).
  • Sample output illustrating the use of some utility commands: dvmesh, nf and paste which you may find useful.