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Galerkin methods for nonlinear Sobolev equations
Authors:Yanping Lin
Institution:(1) Department of Applied Mathematics, University of Waterloo, N2L 3G 1 Waterloo, ON, Canada
Abstract:Summary We study Galerkin approximations to the solution of nonlinear Sobolev equations with homogeneous Dirichlet boundary condition in two spatial dimensions and derive optimalL 2 error estimates for the continuous Crank — Nicolson and Extrapolated Crank — Nicolson approximations.
Keywords:Primary 65N15  65N30
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