On the Observed Rate of Convergence of an Iterative Method Applied to a Model Elliptic Difference Equation

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Optimal Rate of Convergence for a Nonstandard Finite Difference Galerkin Method Applied to Wave Equation Problems

The optimal rate of convergence of the wave equation in both the energy and the L-norms using continuous Galerkin method is well known. We exploit this technique and design a fully discrete scheme consisting of coupling the nonstandard finite difference method in the time and the continuous Galerkin method in the space variables. We show that, for sufficiently smooth solution, the maximal error...

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ژورنال

عنوان ژورنال: Mathematics of Computation

سال: 1978

ISSN: 0025-5718

DOI: 10.2307/2006261