Summary - Things good to know by heart

This page is not complete.Contribute with things that are necessary to know by heart.

* Stability: solution goes -> 0
* Residual for step methods: Taylor expand the formula and see what order the RHS is.
Stability region for y' = f(y,t). Derive by expanding for a perturbation y s.t.: f(y,t) = ky

, put in the method and
* Re( hf(y) ) < 0 for trapetzoid
* |1+ hf| < 1 for Explicit euler
* |1+- hf| > 1 for implicit euler
* Method of lines: Solve a PDE as a system of ODEs
* {Elliptic, parabolic, hyperbolic} equations: B^2 - A C {<0, = 0 or > 0}
*