Title: Nonlinear Galerkin Method Using Legendre Polynomials

Author: Jie Shen and R. Temam

Status: In ``Studies in Advanced Mathematics'', vol. 3, 363--376,
        AMS and International Press, 1997

Abstract: A nonlinear Galerkin method using Legendre polynomials is
presented for solving linear elliptic and nonlinear dissipative
evolution equations.
The essential idea is to decompose the approximation space into a
long-wavelength part and a short-wavelength part which are mutually
orthogonal with respect to the principal elliptic operator of the
equation.