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排序方式: 共有31条查询结果,搜索用时 15 毫秒
1.
In this investigation, a numerical technique to obtain the approximate solutions of four well‐known nonlinear differential equations in the area of heat transfer is presented. This method is based on the operational matrix of derivative of linear barycentric rational interpolation. The main advantages of this approach are that it uses the Floater‐Hormann weights, which are very efficient in practice, and reduces the governing differential equation to a system of algebraic equations. The results are compared with the obtained numerical results of the fourth‐order Runge‐Kutta method along with the shooting method and some of the previously existing methods. The acquired results reveal that the derivative operational matrix method with barycentric rational basis functions is very efficient and can be implemented easily and fast.  相似文献   
2.
In this work, we introduce a new interpolation algorithm, based on a recursive method for computing Lagrange interpolants. This algorithm allows to construct recursively the minimal interpolation space (see [1]) with respect to a finite set of points. We also extend this recursive method to the osculatory interpolation problem.  相似文献   
3.
利用滑动最小二乘法构造加权残值法中的试函数,采用配点法求出试函数中的系数,进而可得到定解问题的解;对Winkler地基上的梁和板进行了数值计算,并与理论结果进行对比,结果表明,该试函数适用于多种边值问题,且精度高。  相似文献   
4.
将重心有理插值与Newton型多项式插值结合起来,利用偏差商的递推算法,得到了满足矩形网格上所给插值条件的二元有理插值函数,给出了插值的特征性质和对偶形式.该二元有理插值函数它继承了重心有理插值的计算量小、没有极点、数值稳定性好和多项式插值的线性性质等优点.最后通过数值例子验证了所给方法的有效性.  相似文献   
5.
In this paper, a novel approach is presented to the restoration of images corrupted by impulsive noise (IN), with a new nonlinear IN suppression filter, entitled circular polygons based adaptive-fuzzy filter (CF). The proposed filter is based on statistical impulse detection and nonlinear filtering which uses adaptive-network-based fuzzy inference system (Anfis) as a missed data interpolant over the circular polygons and provides estimates for the original intensity values of corrupted pixels. Impulse detection is realized by using the chi-square based goodness-of-fit test, which yields a decision about the impulsivity of each pixel. Extensive simulations were realized to demonstrate the capability of CF and they reveal that the proposed filter achieves a better performance than the other filters mentioned in this paper in the cases of being effective in noise suppression and detail preservation, also when the images are highly corrupted by IN.  相似文献   
6.
本文给出了三次样条插值函数的指数形式;在第一类边界条件下,证明了其存在性.  相似文献   
7.
空间曲线的高阶几何Hermite插值   总被引:2,自引:0,他引:2  
在给定空间曲线两个端点的位置、切方向、曲率向量和挠率的情况下 ,用参数化五次B啨zier曲线来对这条空间曲线进行几何Hermite插值 ,证明了插值问题局部可解 ,解有两个自由度 ,还给出了一种确定这两个自由度的方法 ;并证明了在适当的假设下插值有 6阶逼近度  相似文献   
8.
Parametric curved shape surface schemes interpolating vertices and normals of a given triangular mesh with arbitrary topology are widely used in computer graphics for gaming and real-time rendering due to their ability to effectively represent any surface of arbitrary genus. In this context, continuous curved shape surface schemes using only the information related to the triangle corresponding to the patch under construction, emerged as attractive solutions responding to the requirements of resource-limited hardware environments. In this paper we provide a unifying comparison of the local parametric C0 curved shape schemes we are aware of, based on a reformulation of their original constructions in terms of polynomial Bézier triangles. With this reformulation we find a geometric interpretation of all the schemes that allows us to analyse their strengths and shortcomings from a geometrical point of view. Further, we compare the four schemes with respect to their computational costs, their reproduction capabilities of analytic surfaces and their response to different surface interrogation methods on arbitrary triangle meshes with a low triangle count that actually occur in their real-world use.  相似文献   
9.
《国际计算机数学杂志》2012,89(1-2):105-113
In this paper a general interpolant for the Explicit Runge-Kutta methods is proposed. These interpolants are based on second derivatives on mesh-points of the integration interval, and first derivatives on interior points of each step. These first derivatives can be produced using lower order interpolants. Here an interpolant with 0(h 6) local truncation error for the fifth order solution used in RKF4(5) method is presented, with a cost of “about” one extra function evaluation per integration step.  相似文献   
10.
徐勇  毋国庆  袁梦霆 《电子学报》2016,44(10):2514-2521
基于模型诊断(MBD)的理论应用到软件错误定位中取得了一定的效果.但是经典MBD理论基于元件间独立地发生故障这一假设,导致软件错误定位的结果中存在假阳性的诊断.论文对现有基于MBD 的软件错误定位方法进行了改进,提出了冲突中元件的冗余分析方法.该方法既包括了基于Craig插值的元件冗余分析机制,同时利用条件语句取值的二元性(真或假)的特点,对冲突中的条件语句元件进行软件错误的无相关分析.实验结果表明:冲突中的元件冗余分析方法可以有效地减少诊断的假阳性率,将诊断结果数减少了48.4%,碰集树生成的结点数减少了47.6%.  相似文献   
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