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系统科学与数学 1997
ACCELERATION OF CONVERGENCE FOR GALERKIN APPROXIMATION TO FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
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Abstract:
In this paper, an asmptotic error expansion for the iterated Galerkin approximation (along with its derivative) to a larger class of linear Fredholm integro-differential equations is derived, and thus the extrapolation estimate is obtained. Moreover, the ideal multilevel correction estimate is given.