Research on multivariate contact interpolation defined on elliptical parabola
The combination of interpolation problem and production practice has been a research hots-pot in the research field of computational mathematics majors.The results have been widely used in various fields(list of multivariate functions,design of industrial product shapes,exploration of earth's resources and disaster laws,and finite element method for surface design.).In this paper,we study the multivariate contact interpolation(Hermite interpolation)problem on a quadratic elliptic parabo-loid,which is commonly used in industrial production and daily life.We give a formulation of the regularity problem of Hermite interpolation on an elliptic paraboloid,by a deeper in-depth study on the topology of the interpolating condition group.We obtain a decision theorem and a construction method for the group of the multivariate contact interpolation regular conditions defined on an elliptic paraboloid,give a proof of the theorem,and finally verify the effectiveness of the algorithm with an experimental example.
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维普
