Thus stability, which has to do with rounding errors, and consistency, which has to do with truncation errors, are both expressed in terms of perturbations. This gives an abstract version of the Lax ...

Numerical stability when integrating plane waves of cubic Schrödinger equation is thoroughly analysed for some explicit exponential methods. We center on the following secondorder methods: Strang ...

Techniques for analyzing periodic finite difference methods including von Neumann, energy and CFL / domain of dependence techniques. Finite difference methods for parabolic problems in one space ...