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H^1(R)H^1(R)空间中广义二维可分离微商算子样条多分辨分析 被引量:2

MULTIRESOLUTION ANALYSIS OF SPLINE OF SEPERABLE DIFFERENTIAL OPERATOR IN REPRODUCING SPACE H^1(R)■H^1(R)
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摘要 This paper established a multiresolution analysis of two-dimension seperable differential operator spline with non-polynomial type in the reproducing space H1 (R)H1 (R) )realized the expansion of function according to the system of Dyadic extension andtranslation, and its coefficients of expansion was demonstrated by the value of functionaccurately. Moreover, this paper provided reasonable approach and efficient methodfor extending the theory of two-dimension operator spline with non-polynomial type. This paper established a multiresolution analysis of two-dimension seperable differential operator spline with non-polynomial type in the reproducing space H1 (R)H1 (R) )realized the expansion of function according to the system of Dyadic extension andtranslation, and its coefficients of expansion was demonstrated by the value of functionaccurately. Moreover, this paper provided reasonable approach and efficient methodfor extending the theory of two-dimension operator spline with non-polynomial type.
出处 《数值计算与计算机应用》 CSCD 北大核心 1999年第1期46-56,共11页 Journal on Numerical Methods and Computer Applications
基金 黑龙江省自然科学基金
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