共查询到18条相似文献,搜索用时 93 毫秒
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构造了一种C^1连续的保单调的有理三次插值函数。由于函数表达式中含有调节参数,使得插值曲线更具灵活性。 相似文献
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一种有理三次保形插值样条王艳春,许有信(南京理工大学)(南京航空航天大学)ASHAPEPRESERVINGRATIONALCUBICINTERPOLATIONSPLINE¥WangYan-chun(NanjingUniversityofScience... 相似文献
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李磊 《应用数学与计算数学学报》1990,4(2):85-88
文[1]推广了文[2]的结论,导出了一般线性端点条件下三次插值样条的存在唯一性定理,所得结果目前已被广泛应用.本文的目的是给出一种简单直观的新证明方法. 相似文献
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基于数学建模提供的艾滋病治疗方案中的实验数据,依据病人的初始CD4状态,将实验数据分类筛选,采用一维三次样条插值法描绘各类病人服药时间与病情的关系图形,进而由图形确定最佳治疗终止时间;并建立了CD4与时间的函数关系模型,借助于性价比函数进行疗效、价格的综合比较分析,此模型解法对最佳治疗方案的选择提供了有力依据. 相似文献
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心磁图是根据人体心脏跳动产生的微弱磁场测量信号计算得到的医学图像,它较心电图诊断心脏疾病具有更高的灵敏度和准确性.为了提高心磁图的成像精度,通常需要对心磁检测数据进行插值处理.提供了双立方插值和二元三次样条插值两种插值方法,应用实例的结果表明,三次样条插值的效果比双立方插值效果好,基本能达到应用的要求. 相似文献
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In this paper, we consider spaces of cubic C^1-spline on a class of triangulations. By using the inductive algorithm, the posed Lagrange interpolation sets are constructed for cubic spline space. It is shown that the class of triangulations considered in this paper are nonsingular for S1/3 spaces. Moreover, the dimensions of those spaces exactly equal to L. L. Schuraaker's low bounds of the dimensions. At the end of this paper, we present an approach to construct triangulations from any scattered planar points, which ensures that the obtained triangulations for S1/3 space are nonsingular. 相似文献
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非线性系统动态响应的数值计算方法 总被引:4,自引:0,他引:4
文[9]曾将一种模态综合技术推广到非线性系统的动态响应分析,应用于线性子结构具有非线性连接件耦合系统的振动分析.本文进一步把模态综合技术推广到各子结构具有非线性特性大型复杂结构的动态分析.文末给出的算例表明本方法具有良好的精确度和很高的计算效率. 相似文献
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The use of polynomial splines as a basis for the interpolationof discrete data can be theoretically justified by a minimumprinciple. It is natural to apply this principle also if shapepreserving is added as a constraint, although the constructionprocess is then nonlinear. We discuss two algorithms for theconstruction of the cubic spline interpolant under the constraintof positivity or monotonicity, and give a detailed convergenceanalysis. Numerical tests illustrate that analysis. 相似文献
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本文研究了生态学中一类非线性反应扩散方程组的小波Galerkin方法,利用多尺度分析的尺度空间作为试探函数空间,建立显式离散模型,证明了小波逼近解的存在唯一性,并进行了误差分析,最后给出数值模拟的例子. 相似文献
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本文给出一个构造三次样条函数的简便方法,并讨论了与之有关的问题,最后提出了针对不同情况的处理方法. 相似文献
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The relation between finite difference approximation and cubicspline solutions of a two-point boundary value problem for thedifferential equation y' +f(x)y'+g(x)y = r(x) has been consideredin a previous paper. The present paper extends the analysisto the integral equation formulation of the problem. It is shownthat an improvement in accuracy (local truncation error O(h6)rather than O(h4)) now results from a cubic spline approximationand that for the particular case f(x) 0 the resulting recurrencerelations have a form and accuracy similar to the well-knownNumerov formula. For this case also a formula with local truncationerror O(h8) is derived. 相似文献