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5.1.6 Resumé: Conservative-hyperbolic DE
- Use Lax-Wendroff!
- If not, use at least Lax, but see that in addition to CFL
- Forget FTCS and Leapfrog!
To test the various methods, let us apply them to the 1D wave
equation. When altering the propagation velocity , the time step
, or the grid width , keep in mind the operation
regions of the different algorithms:
FTCS - unstable
LAX, LEAPFROG, LAX-WENDROFF - CFL condition
Franz J. Vesely Oct 2005
See also: "Computational Physics - An Introduction," Kluwer-Plenum 2001