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L型域上散乱数据的样条插值和光顺逼近

L-SHAPE AREA SPLINE INTERPOLATION AND SMOOTHING APPROXIMATION TO SCATTERED DATA
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摘要 L型域上散乱数据的样条插值和光顺逼近’胡日章,毛明志(中山大学)L-SHAPEAREASPLINEINTERPOLATIONANDSMOOTHINGAPPROXIMATIONTOSCATTEREDDATA¥HuRi-zhang;MaoMing-zhi... Abstract This paper develops a spline interpolation and smoothing approximation method to scattered data. A suitable spline function space is constructed, and the existence,uniqueness, characteristics and optimal approximation properties of the solution are established. The method can easily be carried out on a computer by solving a symmetric linear algebraic system and is more flexible and applicable than a tensor product spline interpolation. Some numerical examples are given.
机构地区 中山大学
出处 《数值计算与计算机应用》 CSCD 北大核心 1994年第2期106-113,共8页 Journal on Numerical Methods and Computer Applications
基金 中山大学高等学术研究中心资助
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