Towards optimal DRP scheme for linear advection

Claire David (1) , Pierre Sagaut (1)

1 LMM - Laboratoire de modélisation en mécanique

Finite difference schemes are here solved by means of a linear matrix equation. The theoretical study of the related algebraic system is exposed, and enables us to minimize the error due to a finite difference approximation, while building a new DRP scheme in the same time.

Mots clés: DRP schemes; Sylvester equation.

Mots clés: Sylvester equation

Domaines: Equations aux dérivées partielles [math.AP]

Claire David, Pierre Sagaut. Towards optimal DRP scheme for linear advection. 2008. ⟨hal-00208019⟩