X波段失谐加速结构的计算

 采用Mafia程序设计X波段失谐加速结构，同时利用Largrange插值的方法计算了加速结构的尺寸，得到了加速结构的特性参数和尾场特性。结果表明，失谐加速结构的品质因子（7 926.0~8 012.2）和分路阻抗（89.7~125.1MΩ/m）比较高，与等阻抗加速结构相比，可以使尾场明显下降，从而降低束流崩溃发生的可能性。     

Interpolating Cubic Spline Wavelet Packet on Arbitrary Partitions

In many applications, the splines on an arbitrary partition are very useful. In this paper, a spline wavelet structure is created in the way that it provides a multiresolution approximation of the spline subspaces with arbitrary partition in the space of continuous functions on a finite interval. Based on the wavelet basis and the wavelet packet in this structure, a multi-level interpolation method is developed for decomposing a function into wavelet series and reconstructing it from its wavelet representation.     

An Improvement to the Computing of Nonlinear Equation Solutions

In this paper, we suggest an improvement to the iterative methods based on the inverse interpolation polynomial, also referred to as the generalized Hermite interpolation, which increases the local order of convergence. A symbolic computation allows us to find the best coefficients with regard to the order of convergence. The adaptation of the strategy presented here gives a new iteration function with a new evaluation of the function. It also shows a smaller cost if we use adaptive multi-precision arithmetic. The numerical results computed using this system, with a floating point system representing 200 and 1000 decimal digits support this theory.     

SUPERCONVERGENCE OF LEAST-SQUARES MIXED FINITE ELEMENTS FOR ELLIPTIC PROBLEMS ON TRIANGULATION

In this paper, we present the least-squares mixed finite element method and investigate superconvergence phenomena for the second order elliptic boundary-value problems over triangulations. On the basis of the L~2-projection and some mixed finite element projections, we obtain the superconvergence result of least-squares mixed finite     

The Mean Convergence Order of Extended Hermite-Fejér Interpolation Operators

1.IntroductionThispaperwilldiscusstheweightedmeanconvergenceextendedHerrnite-Fej6rInterpola-tionbasedonthequasiHermite-FejerInterpolation.ThequasiHermite-FejerinterPolatingpolynomialisdefinedtouniquepolynomialofde-greeatmost2n l,satisfyingitcanbewrittenas[6jThezerosoforthogonalpolynomialp.(x)aredenotedbyxAnandtheyareindexedsothatX:l>xl.>xz.>..'>x->-l,n=1,2,....(1,7)In199oPETERVERTESIandYUANXU[6Jgivensomeverygoodresultsaboutmeancon-1ther,letu(x)beanintegrableJacobiweightfunction.If…     

COMPUTATION OF VECTOR VALUED BLENDING RATIONAL INTERPOLANTS

As we know, Newton's interpolation polynomial is based on divided differences which can be calculated recursively by the divided-difference scheme while Thiele 's interpolating continued fractions are geared towards determining a rational function which can also be calculated recursively by so-called inverse differences. In this paper, both Newton's interpolation polynomial and Thiele's interpolating continued fractions are incorporated to yield a kind of bivariate vector valued blending rational interpolants by means of the Samelson inverse. Blending differences are introduced to calculate the blending rational interpolants recursively, algorithm and matrix-valued case are discussed and a numerical example is given to illustrate the efficiency of the algorithm.     

基于无网格点插值法的旋转悬臂梁的动力学分析

将基于多项式点插值的无网格方法用于旋转悬臂梁的动力学分析. 利用无网格点插值方法对柔性梁的变形场进行离散, 考虑梁的纵向拉伸变形和横向弯曲变形, 并计入横向弯曲变形引起的纵向缩短, 即非线性耦合项, 运用第二类Lagrange方程推导得到系统刚柔耦合动力学方程. 与有限元法相比, 该方法只需节点信息, 无需定义单元, 具有前处理简单的优势; 构造的形函数采用更多的节点插值, 具有高阶连续性. 将无网格点插值方法的仿真结果与有限元和假设模态法进行比较分析, 验证了该方法的正确性, 并表明其作为一种柔性体离散方法在刚柔耦合多体系统动力学的研究中具有可推广性.     

一种提高消防用光电观瞄系统激光测距精度的方法

针对消防用光电观瞄系统对激光测距的高精度要求,提出了一种提高激光测距精度的方法.该方法采用基于FPGA的延迟线内插技术来减小计数量化误差,并且以差分GPS标定数据为基准,运用分段线性拟合的方法对实测数据进行修正,通过与差分GPS标定数据比对试验验证表明,该激光测距系统精度可以达到0.8m,满足消防用光电观瞄系统≤1 m的测距精度要求.     

Interpolation theorem for Marcinkiewicz spaces with applications to Lorentz gamma spaces

This paper is devoted to the interpolation principle between spaces of weak type. We characterise interpolation spaces between two Marcinkiewicz spaces in terms of Hardy type operators involving suprema. We study general properties of such operators and their behavior on Lorentz gamma spaces. A particular emphasis is placed on elementary and comprehensive proofs.     

Developing two efficient adaptive Newton‐type methods with memory

In this paper, we derive two general adaptive methods with memory in the class of Newton‐type methods by modifying and introducing one and two self accelerators over a variant of Ostrowski's method. The idea of introducing adaptive self‐accelerator (via all the old information for Newton‐type methods) is new and efficient in order to obtain a higher high efficiency index. Finally, we provide convergence analysis and numerical implementations to show the feasibility and applicability of the proposed methods.