Spline Boundary Element Method for Calculating Three-Dimensional Electrostatic Fields

Based on [l].this paper presents a new spline-BEM for calculating 3-D electrostatic fields,in which bi-cubic B-splines are used as basis functions. The corner problem in BEM and the extreme conditions for splines are circumvented. The numerical results presented show that the global approximation .convergence and stability of the method are satisfactory.     

可视化编程技术在发动机外特性曲线绘制中的应用

通过对汽车发动机外特性的理论分析,在处理汽车发动机外特性曲线时,建立了一种适合处理发动机外特性曲线的三次样条函数拟合的数学模型,在C Builder可视化开发平台上,编制了汽车发动机外特性曲线绘制程序.利用三次样条函数插值法对实验数据进行拟合,实现了发动机外特性曲线绘制的自动化.     

用Delphi实现温度传感器的数据采集和误差分析

利用Delphi嵌入式汇编的扩展功能实现基于I／O的热敏电阻温度传感器数据采集，并用二次样条插值法研究电压和温度特性非线性化的S曲线，减少非线性误差。     

The monotony preserving QO‐spline as a taper curve

A monotony preserving quadratic spline interpolating at a given point set can be constructed by the so‐called QO‐algorithm. The quality of QO‐splines, which are taper curves constructed by using this algorithm, is investigated. A comparison was made using the program of McAllister & Roulier which produces a shape preserving taper curve by using quadratic splines, too. Tests done on a representative sample tree material indicate that the QO‐spline is in general a better taper curve than the one produced by the program of McAllister & Roulier even if the difference may be small in certain cases.     

涡轮弯扭叶片的几何造型

现代涡轮叶片是弯曲、扭转、变截面复杂流线型面，一般无法解析表达，为满足叶片型面数控加工要求，针对给定若干叶片截面上型值点的情况，采用节点号参数化双三次Ｂ样条插值曲面对完整弯扭叶片进行三维造型，并提出考察造型型值点网格密度是否满足加工精度要求的判断准则，实际加工证明，此算法简洁，稳定，适合涡轮叶片加工的工程需要。     

Genetic evaluation using random regression models with different covariance functions for test‐day milk yield in an admixture population of Thailand goats

The objectives of this study were to compare covariance functions (CF) and estimate the heritability of milk yield from test‐day records among exotic (Saanen, Anglo‐Nubian, Toggenburg and Alpine) and crossbred goats (Thai native and exotic breed), using a random regression model. A total of 1472 records of test‐day milk yield were used, collected from 112 does between 2003 and 2006. CF of the study were Wilmink function, second‐ and third‐order Legendre polynomials, and linear splines 4 knots located at 5, 25, 90 and 155 days in milk (SP25–90) and 5, 35, 95 and 155 of days in milk (SP35–95). Variance components were estimated by restricted maximum likelihood method (REML). Goodness of fit, Akaike information criterion (AIC), percentage of squared bias (PSB), mean square error (MSE), and empirical correlation (RHO) between the observed and predicted values were used to compare models. The results showed that CF had an impact on (co)variance estimation in random regression models (RRM). The RRM with splines 4 knots located at 5, 25, 90 and 155 of days in milk had the lowest AIC, PSB and MSE, and the highest RHO. The heritability estimated throughout lactation obtained with this model ranged from 0.13 to 0.23.     

三种数学模型模拟不同播期小麦籽粒灌浆过程的比较分析

为比较分析Logistic、Richards和三次多项式（Cubic）3种小麦籽粒灌浆模型的特点,用其分别对4个小麦品种（济麦44、品育8012、周麦36和晋麦84）在4个播期下的籽粒灌浆过程进行拟合。结果表明,不同播期小麦籽粒灌浆过程用三种模型均可拟合,各模型方程的决定系数均在0.98以上,且达极显著水平,Cubic和Richards模型拟合效果优于Logistic模型;通过Cubic模型模拟的灌浆起始期较观测值晚0.58~6.65 d,10月12日播期起始灌浆日期模拟值与观测值最接近;在本试验条件下,Logistic模型可以假定粒重达理论最大粒重的2.76%左右时为灌浆起始期（开花期）;Richard模型中,播期对起始粒重比例（灌浆起始期粒重/理论最大粒重）有显著影响,第一、第二播期（10月12日、10月20日）的超始粒重比例显著低于第三、第四播期（10月28日、11月5日）;三种模型理论最大粒重在品种和播期间的规律与灌浆终止粒重一致;Cubic模型模拟的理论最大粒重与灌浆终止粒重最接近,终止粒重比例（灌浆终止粒重/理论最大粒重）平均值达 97.84%;Logistic与Richards模型中,终止粒重比例随播期的推迟呈增加趋势,Richards模型终止粒重比例在播期间的变异系数大于Logistic和Cubic模型。小麦快增期灌浆参数T₂（快增期持续时间）、T_max（最大灌浆速率出现时间）、V₂（快增期平均灌浆速率）、V_max（最大灌浆速率）在三种模型间存在差异,Richards模型在播期间差异最大（T₂、T_max、V₂、V_max变异系数分别为35.25%、20.43%、11.94%、10.8%）,Logistic模型在播期间差异最小（T₂、T_max、V₂、V_max变异系数分别为8.79%、7.59%、3.30%、3.30%）。     

一种Logistic模型参数估计的新方法及应用

介绍了logistic曲线参数估计的一种新方法,它是利用三次样条插值函数求导代替logistic曲线在这一点的导数值,进而利用最小二乘法得出参数的估计值,通过实例分析表明本文提出的方法比一般的三点法估计的参数值k再用线性化方法估计的参数值b,c,拟合精度更高.     

用数值方法解决弹道曲线的有关问题

利用龙格—库塔方法解弹道曲线方程组，其精度不够，也不能较完整地给出道弹曲线的解析式。本文直接从解内察方程出发，运用祥条函数磨光法，解决了这些问题，也解决了弹道曲线的计算与选择问题。