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In this paper, we present an improvement of the Hexagonal Shepard method which uses functional and first order derivative data. More in details, we use six-point basis functions in combination… Click to show full abstract
In this paper, we present an improvement of the Hexagonal Shepard method which uses functional and first order derivative data. More in details, we use six-point basis functions in combination with the modified local interpolant on six-points. The resulting operator reproduces polynomials up to degree 3 and has quartic approximation order. Several numerical results show the good accuracy of approximation of the proposed operator.
Keywords:
six points;
local interpolant;
shepard method;
modified shepard;
method six
Journal Title: Journal of Applied Mathematics and Computing
Year Published: 2020
Link to full text (if available)
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Journal Title: Journal of Applied Mathematics and Computing
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!