ERROR ANALYSIS OF NONLINEAR GALERKIN METHODS FOR KURAMOTO-SIVASHINSKY EQUATIONS

摘要

Nonlinear Galerkin methods are new schemes for integrating dissipative systems. In the present paper, we obtain the estimates to the rate of convergence of such methods for Kuramoto- Sivashinsky equations. In particular, by an illustrative example, we show that nonlinear Galerkin methods converge faster than the usual Galerkin method.