Approximating partial derivatives of first and second order by quadratic spline quasi-interpolants on uniform meshes

Françoise Foucher and Paul Sablonnière

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 77, issue 2, 202-208

Abstract: Given a bivariate function f defined in a rectangular domain Ω, we approximate it by a C1 quadratic spline quasi-interpolant (QI) and we take partial derivatives of this QI as approximations to those of f. We give error estimates and asymptotic expansions for these approximations. We also propose a simple algorithm for the determination of stationary points, illustrated by a numerical example.

Keywords: Quadratic spline quasi-interpolant; Partial derivative approximation; Stationary points detection (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:77:y:2008:i:2:p:202-208

DOI: 10.1016/j.matcom.2007.08.021

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