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A partial differential equation that describes diffusion phenomena.

10 votes
2 answers
527 views

Where can I find a good reference for the stability properties of several methods of solving...

Right now I have a code that uses the Crank-Nicholson algorithm, but I think that I would like to move to a higher-order algorithm for timestepping. I know that the Crank-Nicholson algorithm is stable …
Dan's user avatar
  • 3,355
5 votes
1 answer
554 views

Does ADI/Split-operator change the stability properties of the Crank-Nicholson method?

I'm using the Crank-Nicholson method to solve the time-dependent Schrödinger equation with the split-operator method. I'm getting some weird results that are probably the result of a bug somewhere in …
Dan's user avatar
  • 3,355