Approximate Hermite quasi-interpolation
classification
🧮 math.NA
cs.NA
keywords
approximateapproximantsapproximationsbyproductcoefficientsconstantderivativesderive
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In this paper we derive approximate quasi-interpolants when the values of a function $u$ and of some of its derivatives are prescribed at the points of a uniform grid. As a byproduct of these formulas we obtain very simple approximants which provide high order approximations for solutions to elliptic differential equations with constant coefficients.
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