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对称性与局部支集样条函数构造

高等学校计算数学学报 2000年第3期22卷 208-214页

作者：赵国辉盛中平 130024 610064 东北师范大学数学系!长春四川大学数学系!成都

In this paper, we construct some compactly supported spline functions bysymmetry, and introduce the partition of type Ⅲ. spline functions in s(△3,) ands (△3,) are discussed together with some B-splines in s; (△3).

关键词： spline function smooth cofactor symmetry partition of type Ⅲ

ELASTIC ANALYSIS OF ORTHOTROPIC PLANE PROBLEMS BY THE spline FICTITIOUS BOUNDARY ELEMENT METHOD

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Applied Mathematics and Mechanics(English Edition) 2002年第4期23卷 446-453页

作者： SU Cheng(苏成) HAN Da-jian(韩大建) Department of Civil Engineering South China University of Technology Guangzhou 510640 P R China Department of Civil Engineering South China University of Technology Guangzhou 510640 P R China

Non-singular fictitious boundary integral equations for orthotropic elastic plane problems were deduced according to boundary conditions by the techniques of singular-points-outside-domain. Then the unknown fictitious load functions along the fictitious boundary were expressed in terms of basic spline functions, and the boundary-segment-least-squares method was proposed to eliminate the boundary residues obtained. By the above steps, numerical solutions to the integral equations can be achieved. Numerical examples are given to show the accuracy and efficiency of the proposed method.

关键词： orthotropic plane problem spline function boundary element method

构造非均匀剖分上局部支集样条函数的积分方法

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高等学校计算数学学报 2000年第4期22卷 301-304页

作者：王仁宏赵国辉大连理工大学数学所!大连116024

In this paper an integral method for constructing locally supported spline functions on nonuniform partitions is presented. We use this method to reconstruct B-spline functions in S12(2) and S13( 1), and further const... 详细信息

关键词： spline function B-spline nonuniform partition. AMS(1991) subject classificatious 41A05 65D07.

AN UNCONDITIONALLY STABLE CALCULATION SCHEME FOR THE DYNAMIC RESPONSE OF STRUCTURES BY THE METHOD OF spline COLLOCATION

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Acta Mechanica Sinica 1988年第2期4卷 156-164页

作者： Lin Wenjing Xu Cida, Department of Engineering Mechanics, Tongji University, Shanghai 1. Department of Engineering Mechanics Tongji University Shanghai

In this paper, by the method of collocation, using the cubic B-spline function as the trialfunction in the time domain and putting zero residuals of the differential equation of motion of thestructure at two points of time, the authors obtain an unconditionally stable calculation scheme for thedynamic response of the structure. When a parameter θ in the scheme is within the interval 0.15 < θ< 0.5 the scheme is absolutely stable. It is shown that the accuracy of the scheme, as may be measuredby AD (the decay of the amplitudes), PE (the elongation of periods) and the algorithmic dampingratio, is better than that of traditional methods——the Wilson-θ’s method, the Newmark’s methodand the Houbolt’s method. A numerical example is given in which a certain dynamic response problemis solved by the method of this paper and results are compared with that of the traditional methods andthe analytic method showing that the accuracy of the method by this paper is superior to the otherones. The computational scheme for the dynamic response of structures by this paper may be regardedas an effective, convenient and accurate method for dynamic response of structures.

关键词： dynamic response spline function calculation scheme

A Powerful Optimization Technique for the Calculation of Binary Phase Diagrams Using Partial Phase Diagram Data

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Journal of Materials Science & Technology 1989年第3期5卷 186-190页

作者：金展鹏杜勇 Central-south Technological University ChangshaChina

The interaction parameters for various phases in the Ti-W and Pd-W systems were calcula- ted using phase diagram information by means of a numerical *** approach differs significantly from the trial and error method and has the advantage of being very robust in the sense that one can make full use of the accurate experimental phase diagram data and deal with situations which are difficult or even impossible for the trial and error method. Using calculated parameters and lattice stability values for Ti,W and Pd given in literature, the diagrams of the above systems were recalcula- *** results are in good agreement with experimental information.

关键词： optimization phase diagram normal distribution spline function

Application study of image segmentation methods on pattern recognition in the course of wood across-compression

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Journal of Forestry Research 2000年第1期11卷 57-59页

作者：曹军孙丽萍张冬妍姜宇东北林业大学黑龙江哈尔滨

Image segmentation is one of important steps on pattern recognition study in the course of wood across-compression. By comparing and studying processing methods in finding cell space and cell wall, this paper puts forward some image segmentation methods that are suitable for study of cell images of wood crossgrained compression. The method of spline function fitting was used for linking edges of cell, which perfects the study of pattern recognition in the course of wood across-compression.

关键词： Image segmentation Pattern recognition wood across-compression spline function

Cubic spline Solutions of Nonlinear Bending and Buckling of Circular Plates with Arbitrarily Variable Thickness

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Transactions of Tianjin University 2003年第4期9卷 321-325页

作者：侯朝胜李婧龙泉 School of Civil Engineering

The cubic B-splines taken as trial function, the large deflection of a circular plate with arbitrarily variable thickness,as well as the buckling load, have been calculated by the method of point collocation. The support can be elastic. Loads imposed can be polynomial distributed loads, uniformly distributed radial forces or moments along the edge respectively or their combinations. Convergent solutions can still be obtained by this method under the load whose value is in great excess of normal one. Under the action of the uniformly distributed loads, linear solutions of circular plates with linearly or quadratically variable thickness are compared with those obtained by the parameter method. Buckling of a circular plate with identical thickness beyond critical thrust is compared with those obtained by the power series method.

关键词： variable thickness buckling large deflection circular plate spline function

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样条型矩阵有理插值

高等学校计算数学学报 2005年第1期27卷 1-6页

作者：杨松林苏州大学数学科学学院苏州 215006

0 引言矩阵函数的有理插值与逼近理论在自动化控制理论、在计算机科学及原子与初等粒子物理等很多领域都已有深入的实际运用背景.据文[2]介绍,目前已经研究的矩阵有理插值问题包括矩阵幂级数和NEWTON-PADE逼近、HERMITE-PADE逼近、联... 详细信息

0 引言矩阵函数的有理插值与逼近理论在自动化控制理论、在计算机科学及原子与初等粒子物理等很多领域都已有深入的实际运用背景.据文[2]介绍,目前已经研究的矩阵有理插值问题包括矩阵幂级数和NEWTON-PADE逼近、HERMITE-PADE逼近、联立PADE 逼近、M-PADE逼近、多点PADE逼近等.文[4][5][6]中研究了复矩阵有理插值和多元矩

关键词： spline function cardinal spline interpolation matrix valued rational interpolation.

Realistic Geometry Laplacian: A Moderate spline Estimation Approach

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Realistic Geometry Laplacian: A Moderate Spline Estimation A...