splines method meaning in English
样条函数法
Examples
- Secondly , the various conic arcs and conies are generated by the rational triangular bezier and the b - spline method in polar coordinates system
其次，给出圆锥曲线弧及其补弧的三角有理b zier表示；以及任意角度二次曲线弧的极坐标b样条表示。 - The distribution map produced by spline interpolation is smooth , and spline method has good interpolation effect with rapid run speed in case of dense sampling points
样条法插值获得的等值线分布图比较光滑，当采样点比较密集时，具有较好的插值效果，运算速度也较快。 - In the first chapter , we narrate the characteristic of convertible bond , give some clues about development and actuality of the market and its pricing theory ; in the second chapter , we introduce modeling idea and some material problems in the model in detail , draw the yield curve which is very important to the model by spline method ; in the third chapter , we first explain the basic idea and convergent speed of monte carlo method , then , give the mathematical description for financial market , prove equivalence of non - arbitrage market , existence of risk neutral probability measure in the market and the price process of underlying asset is a martingale ; in the forth section , we introduce how to simulate stock price path by monte carlo method in detail , based on foregoing result , we prove the path is a martingale , thereby , the model is logical
本文第一章先对可转债的特点、市场发展和现状及其定价理论的发展和现状作一概述;第二章详细介绍了建模思想和模型中的一些具体问题,利用spline方法绘出了在模型中具有重要作用的收益曲线;第三章首先叙述了montecarlo方法的基本思想和有关其收敛速度的一些性质,然后从数学的角度给出了对金融市场的描述,证明了市场无套利、市场存在风险中性概率测度及标的资产价格过程为鞅的等价性;在第四节中,对用montecarlo方法模拟的带跳股价路径作了详细介绍,并利用前两节的结论证明了模拟的带跳股价路径为一个鞅过程,从而保证了模型在理论上的合理性。 - In this paper a numerical method for equations of transport and biodegradation in the fractured media is discussed . because the equations consist of terms related to advection , diffusion , biochemical as well as the term of exchange betwen the fracture and the porous media , it is very difficult to find their solution . in order to find more efficient method for solving these equations , several numerical methods for the equations without biochemical terms are discussed first . the numerical results show that the cubic spline method can be used to solve advection flow dominated problem which often occurred in the fractured media . then , the equation with both advection - diffusion term and biochemical term are discussed . the splitting - operator is used to decouple the advection and diffusion terms with biochemical term in the equations . the way to determine the smaller time step for solving fast biochemical terms is introduced through comparing the order of characteristic time of biochemical term with that advection ( diffusion ) term . numerical simulation results show that good agreement between analytical solution and experiment result is attained
本文讨论了含裂隙介质地下水污染物输运与生物降解非线性方程组数值求解方法.方程含有对流项、扩散项、生长、死亡、吸附、解吸、趋化和孔隙与裂隙介质界面间的交换项的非线性偶合，使算法十分困难.本文讨论了无生化过程时的几种求解方法，数值结果表明：用三次迎风插值法对常见的对流项占优势，且场变量有较大梯度的问题较适用.在讨论有生化反应过程时，利用对流项与生化反应项的特征时间量级估算，给出了求生化过程作用子步的时间步长估算办法.用上述方法所得到的模拟结果与解析解、无化学反应和有化学反应的实测值对比，吻合很好