梁學(xué)章教授數(shù)學(xué)文選

內(nèi)容概要

　　2009年12月1日，是梁學(xué)章先生的70華誕．在這個(gè)特殊的日子來(lái)臨之際，編者通過(guò)吉林大學(xué)出版社出版了《梁學(xué)章教授數(shù)學(xué)文選》，以作慶祝?！　　读簩W(xué)章教授數(shù)學(xué)文選》在附錄中收錄了先生當(dāng)年碩士畢業(yè)論文的部分章節(jié)，這部分內(nèi)容無(wú)疑是先生青年時(shí)代的得意之作。

書(shū)籍目錄

前言   1．二元插值多項(xiàng)式的收斂性2．二元插值的適定結(jié)點(diǎn)組與迭加插值法3．關(guān)于多元函數(shù)的插值與逼近4．構(gòu)造二元切觸插值公式的方法5．On Bivariate Osculatory Interpolation，6．Lagrange Interpolation On a Sphere，Northeast7．Properly Posed Sets of Nodes for Multivariate Lagrange Interpolation in儼，8．The Application of Cayley-Bacharach Theorem to Bivariate Lagrange Interpolation9．多元Lagrange插值與Cayley-Bacharach定理10．Some Researches on Rrivariate Lagrange Interpolation11．Multivariate Lagrange Interpolation and an Application of Cayley-Bacharach Theorem for It12．高維空間中代數(shù)流形上多項(xiàng)式空間的維數(shù)與Lagrange插值適定結(jié)點(diǎn)組的構(gòu)造13．Some Researches on Multivariate Lagrange Interpolation along the Sufficiently Intersected Algebraic Manifold14．A Kind of Laange Interpolation on the Sphere．2009 WRI World Congress on Computer Science and Information Engineering．15．On Lagrange and Hermite Interpolation Along Algebraic Manifold16．Superposition Interpolation Process in C”17．On Hakopian Interpolation in the Disk；Approx．18．Kergin Interpolation at the Points Which Are Zeros of the Bivariate Polynomial of Least Deviation from Zero on the Disk：19．Lagrange Representation of Multivariate Interpolation20．關(guān)于圓域上Kergin插值的收斂性21．On the Convergence of Hakopian Interpolation and Cubature22．On the Integral Convergence of Kergin Interpolation on the Disk23．On the Uniform Convergence of Kergin Interpolation on the Disk，24．A New Algorithm for CT Based on Hakopian Interpolation．25．基于Hakopian插值的快速圖像重建算法26．Weighted Mean Convergence of Hakopian Interpolation on the Disk．27．關(guān)于多元■逼近(I)28．關(guān)于多元■逼近(II)29．某些高維區(qū)域上的最小零偏差多項(xiàng)式30．On Chebyshev Approximation in Several Variables(III)，Approximation，Optimization and Computing：Theory and Applications．31．基于圃域上多項(xiàng)式逼近的圖像重建算法32．Analysis and Improvement of Marr’S Algorithm for Image Reconstruction：33．平行六邊形域上的二重Fourier級(jí)數(shù)的線(xiàn)性求和34．Convergence Properties of Generalized Fourier Series Oil a Parallel HexagonDomain，Comm35．二元四次樣條插值與有限元36．關(guān)于高精度樣條插值公式的一點(diǎn)注記37．等距結(jié)點(diǎn)上一類(lèi)新的樣條插值公式38．關(guān)于二元四次樣條插值39．兩鄰接州mBS曲面問(wèn)的G2連續(xù)條件40．G2Continuity Conditions for Two Adjacent B-spline Surfaces41．G1Continuity Conditions of Adjacent NURBS Surfaces42．G1Smooth ConnectionofAdjacent NURBS Surfaces43．G1Smooth NUllS Surfaces with n-patch Comer44．The Construction of G1 Smooth NURBS Surfaces over Arbitrary Topology Type．45．B樣條曲面問(wèn)G1連續(xù)條件及局部格式構(gòu)造問(wèn)題46．由點(diǎn)云數(shù)據(jù)生成三角網(wǎng)格曲面的區(qū)域增長(zhǎng)算法47．用Loop細(xì)分曲面擬合點(diǎn)云數(shù)據(jù)的方法48．The Smooth Connection Algorithm between B-spline Surfaces Patches，49．Loop細(xì)分小波緊框架對(duì)三維圖形壓縮的應(yīng)用50．Bivariste Box-spline Wavelets，M．Cheng et以(eds．)，Harmonic Analysis in China．51．Real-valued Periodic Wavelets：Construction and Relation with Fourier Series52．How to Get the Original Discrete Approximation for the Pyramid Algorithm of Multiresolution Decomposition53．區(qū)同上的雙正交小波的一種構(gòu)造方法，高等學(xué)校計(jì)算數(shù)學(xué)學(xué)報(bào)54．SolvSecond Kind Integral Equations by Galerkin Methods with Continuous Orthogonal Wavelets，J．Comput．Appl．Math55．A Wavelet-based Ddtal Watermarking Algorithm，Proceedings of the International Conference on Wavelet Analysis and Its Applications56．Bivariate Real-valued Orthogonal Periodic Box-spUne Wavelets，Northeast57．Mammographic Image Enhancement and Denoting Based on Redundent Wavelet Transform，Proceedings of the International Conference 2006 Oil Wavelet Active Media Technology and Information Processing，58．An Implementation of Fast Algorithm,q for Biorthogonal Periodic Interpolatory Wavelets，J．Inform．Comput．59．A New Algorithm For Enhancing the Contrast of Finger-vein image60．2D Chaotic Watermark Generation Based on Wavelet Transform and Bivariate Logistic Model，International Conference on Complex Systems and Applications附錄  多元插值的適定結(jié)點(diǎn)組與疊加插值法論文和著作總目錄

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