| 二次基函数的构造及其应用 |
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| 引用本文： | 檀结庆. 二次基函数的构造及其应用[J]. 合肥工业大学学报(自然科学版), 1994, 0(2) |
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| 作者姓名： | 檀结庆 |
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| 摘 要： | 本文构造了具有二次代数精度的基函数，这些基函数无论在计算方面还是在应用方面都比Ｅ．Ｌ．Ｗａｃｈｓｐｒｅｓｓ所建立的方便．利用这些基函数，得到了三角剖分下插值多元样条ｕ（ｘ，ｙ）∈Ｓ（△，Ｄ）存在的充要条件，并以数值便阐明了求解插值多元作条空间的维数问题．
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| 关 键 词： | 基函数；楔函数；三角剖分；插值样条 |
THE CONSTRUCTION AND APPLICATIONS OF QUADRATIC BASIS FUNCTIONS |
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| Tan Jieqing. THE CONSTRUCTION AND APPLICATIONS OF QUADRATIC BASIS FUNCTIONS[J]. Journal of Hefei University of Technology(Natural Science), 1994, 0(2) |
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| Authors: | Tan Jieqing |
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| Affiliation: | Tan Jieqing |
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| Abstract: | Quadratic hasis functions are constructed which are shown to be more convenient for computations and applications than those E. L. Wachspress. These basis functions can be used to ddtermine the necessary and sufficient conditions for the existence of interpolating multivariate splines in. triangulation and further to solve the. dimension problems of the spaces,which is illustrated by a numerical example where interpolating bivariate spine u(x,y) in the space S(A,D) is treated. |
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| Keywords: | basis functions wedge functions triangulation interpolating splines |
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