查询词典 parabolic cusp

This leads to a parabolic partial differential equation for price of bond.

假设利率变化的模型是由随机微分方程给出的，则可以用推倒Black－Scholes方程的方法来推出债券价格满足的偏微分方程，得到一个抛物型的偏微分方程。

Up to now, finite difference method, finite element method and boundary element method are common numerical methods to obtain numerical solutions of parabolic partial differential equation.

目前求解抛物型偏微分方程的数值方法有有限差分法、有限元法和边界元法等。

The models of American option and perpetual American option are a free boundary problem of parabolic partial differential equation and ordinary differential equation respectively.

在相应的基本假设下，美式期权的定价模型是一个抛物型偏微分方程自由边界问题，而永久美式期权的定价模型是一个常微分方程自由边界问题。

This paper considers the pricing model of options under illiquidity. A new numerical procedure for solving the nonlinear parabolic partial differential equation is explored and the Thomas algorithm is used to improving the efficiency of the numerical scheme.

本篇论文提出一个在市场流动性不足情况发生时的选择权订价模型，并且发展一个新的数值方法来求解一个非线性抛物线型态的偏微分方程式，同时利用汤马斯演算法来提升数值运算的效率。

American option ; parabolic partial differential equation ; perpetual American option ; expiry date ; convergence ; error estimate

美式期权；抛物型偏微分方程；永久美式期权；执行日期；收敛性；误差估计

The parabolic partial differential equation is an important type of mathematical physical equations. It can describe the problems of heat conduction, seepage flow and diffusion, et al.

抛物型偏微分方程是描述热传导、渗流、扩散等过程的一类重要的数学物理方程。

First, the paper proves the well-posedness of the encryption and decryption problems, which provides theoretical bases for experiments of encryption and decryption; Then presents a fast iterative algorithm, which is proposed based on the special sparse structure of the coefficient matrix of the two-dimensional C-N difference scheme, and successfully experiments on images encryption and decryption; At the end, the security of the methods of images encryption and decryption based on the two-dimensional Pseudo -parabolic Partial Differential Equation is experimented and discussed particularly.

首先证明了基于二维连续模型的加、解密问题是适定的，为加、解密实验提供了理论依据；然后根据模型的二维C-N格式系数矩阵的特殊稀疏结构，给出快速迭代求解算法，并成功地进行了图像加、解密的数值试验；最后对基于二维伪抛物型方程的图像加、解密方法的安全性进行了详细的试验讨论。

Neutral type ; quasilinear ; parabolic differential equation ; systems ; oscillation

中立型；拟线性；抛物微分方程；方程组；振动

Based on modern optimization theory and optimal control theory, this dissertation studies some questions as follows:1. The optimization model of parameter identification of three-dimensional geologic history numerical simulation, algorithm and its applicationGeologic history numerical simulation is a basic content of basin numerical simulation, and the porosity is the major parameter in the evolution and development process of oil-bearing basin. According to the sedimentation and burial mechanism, the physical and chemical principles of oil geology, the mudstone porositys non-linear parabolic partial differential equation has been established.

本文应用现代最优化及最优控制理论，对如下一些问题进行了研究： 1、三维地史数值模拟的参数辨识优化模型、算法及应用地史模拟是盆地数值模拟的一个基础性的研究内容，地层孔隙度是含油气盆地地史演化发育过程中的重要参数，根据地层沉积埋藏机理和石油地质的物理化学原理，通过引入数学物理方程概念，建立了泥岩三维孔隙度场方程，根据问题的特点，给出了方程的定解条件，对方程的动边界也给出了处理方法，并且证明了解的存在性与惟一性，在此基础上建立了以当今实测数据为拟合准则的三维地史数值模拟的参数辨识优化模型，这是一个含有二阶偏微分方程约束的泛函极值问题。

Secondly, point out that meshless method is different from finite element method in handling boundary condition and numerical integral because the approximation function of meshless method is not inserted function, it have itself special methods. Deduces meshless Galerkin essential equation of parabolic partial differential equation with the method ofweighted residuals------Galerkin. Furthermore, discusses the main factors which may effectthe calculation precision and give some suggestion with which can get the best result.

其次，由于无网格法的近似函数不是插值函数，所以无网格Galerkin法在处理边界条件和对区域积分时是不同于有限元的，它有其独特的处理方法，从加权残量法——Galerkin出发，推导出抛物型偏微分方程无网格Galerkin法的基本方程，并对影响无网格Galerkin法的主要因素进行探讨，给出了取得最佳效果的相应建议。

Take turns at doing sth.

意为"轮流做某事"，相当于

First , I take a beaker of water and heat it gently over a bunsen burner .

首先，取一烧杯的水，在本生灯上微微加热。