Operator splitting for the KdV equation

We provide a new analytical approach to operator splitting for equations of the type ut = Au + B(u) where A is a linear operator and B is quadratic. A particular example is the Korteweg–de Vries (KdV) equation ut −uux +uxxx = 0. We show that the Godunov and Strang splitting methods converge with the expected rates if the initial data are sufficiently regular.

• Type: Journal
• Year: 2011
• Where: MOC
• Authors: Helge Holden, Kenneth H. Karlsen, Nils Henrik Risebro, Terence Tao
• Keywords: Intelligent Agents, Linear Operator, MOC 2011, Strang Splitting Methods, Type Ut