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Article
Galerkin methods and L2-error estimates for hyperbolic integro-differential equations
In this paper we shall study Galerkin approximations to the solution of linear second-order hyperbolic integro-differential equations. The continuous and Crank-Nicolson discrete time Galerkin procedures will b...
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Article
Non-classicalH 1 projection and Galerkin methods for non-linear parabolic integro-differential equations
In this paper the Galerkin method is analyzed for the following nonlinear integro-differential equation of parabolic type: $$c(u)u_t ...
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Article
A Galerkin procedure for systems of differential equations
A continuous time and an extrapolated coefficient Crank-Nicolson-Galerkin method are considered for approximating solutions of boundary and initial value problems for a quasi-linear parabolic system of partial...