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About optimization of methods for mixed derivatives of bivariate functions

Published 18 Sep 2023 in math.NA and cs.NA | (2309.09710v1)

Abstract: The problem of optimal recovering high-order mixed derivatives of bivariate functions with finite smoothness is studied. On the basis of the truncation method, an algorithm for numerical differentiation is constructed, which is order-optimal both in the sense of accuracy and in terms of the amount of involved Galerkin information.

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