Convergence for PDEs with an arbitrary odd order spatial derivative term

Clémentine Courtès (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

We compute the rate of convergence of forward, backward and central finite difference θ-schemes for linear PDEs with an arbitrary odd order spatial derivative term. We prove convergence of the first or second order for smooth and less smooth initial data.

Domaines: Equations aux dérivées partielles [math.AP]; Analyse numérique [math.NA]

Clémentine Courtès. Convergence for PDEs with an arbitrary odd order spatial derivative term. HYP2016, Aug 2016, Aachen, Germany. pp.413-425, ⟨10.1007/978-3-319-91545-6_32⟩. ⟨hal-01490801⟩