报告主题： 以两参数薄膜函数类作为二维散乱数据的插值
报告人：刘进贤 教授 （河海大学）
报告时间：2018年11月16日（周五）10:00
报告地点：校本部G507
邀请人：刘东杰
报告摘要：For solving the 2D scattered data interpolation problem we develop a family of two-parameter membrane functions as the bases to construct the interpolant, which can avoid the highly ill-conditioned property by using the high-order polynomials. We begin with the boundary functions on a rectangle in the plane to construct a sequence of membrane functions with different orders of the shape functions. The polynomial, sinusoidal, exponential shape functions and maybe their weight combination are used to generate the two-parameter membrane functions. The novel method can reconstruct highly accurate function in the whole domain with less amount of interpolated data. The present method is novel and promise in the 2D scattered data interpolations.
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