数值微分

The scaled boundary finite-element method is a novel semi-analytical technique for solving the linear partial differential equation.

比例边界有限元法是线性偏微分方程的一种新的数值求解方法。

The propagation matrix method used widely in stratified media is extended to laterally inho-mogeneous media,and a numerical method known as generalized propagation matrix method for simulating elastic seismic wave propagation in inhomogeneous media is presented by using mixed variable elastic wave equation and matrix exponent solution of system of linear ordinary differential equations.

应用混合变量弹性动力学方程和线性常微分方程组的矩阵指数解法，将层状介质中广泛应用的弹性波传播矩阵解法推广至横向非均匀介质，给出了一种可计算复杂地质体中弹性波传播的广义传播矩阵数值解法。

Numerical and the experimental code, very comprehensive, from the points to the differential, another matrix analysis.

详细说明：数值计算方面的实验代码，非常的全面，从积分到微分，再有矩阵分析等。

In digital process method of the I-V characteristic curves of the probe, we carry out the smooth treatment of the curves and obtain the second derivatives of the curves, using the ready-made software ORIGIN5.O. This is a simple and effective method.

在对探针特性曲线的数值处理方法上，采用了现成软件Origin5.0先对其进行光滑处理，然后进行二次微分的方法，取得了良好的效果。

This paper is devoted to the application of the parallel multistep hybrid method to the numerical solution for a class of Index-2 differential algebraic equations ,and the errors are estimated,it has obtained the extremely ideal result.

将并行多值混合方法应用于一类2-指标微分代数方程的数值处理，并进行误差估计，获得了十分理想的结果。

Our analysis framework relies on the reflected Backward Stochastic Differential equation approach.We characterize the value functions of the noncallable bonds in terms of the reflected Backward Stochastic Differential equation,Then the relationship between the value function of convertible bonds and reflected backward stochastic differential equations with single reflect is built at the same time,and provide the optimal conversion strategy for bondholders.2:We get the value of non-callable convertible bonds by numerical methods.

探讨了可转换债券的最优停时价值与带反射边界倒向随机微分方程解的关系，在市场完备，公司价值只包括股权和可转债这两种权益等各种假定下，给出不可赎回可转换债券的价值函数，证明了不可赎回可转换债券的最优停时问题的解是存在的，同时给出了其最优的转换策略。2：通过数值方法求解不可赎回可转换债券的价值。

Since two curves have the same coordinates and unit normal vector at the contacting point, the problem of the mesh of two planar curves is transformed into an ordinary differential equation by vector analysis. We have the solution to the equation by numerical method and computer calculation. After repeating the way of computing the solution to the equation, we have the contacting points.

因两曲线於接触点的位置相同，单位法线向量相等，由向量分析使曲线接触问题转变为常微分方程式，藉助数值计算与电脑运算得到方程式解，重覆计算方程式的解即可得每一接触点的位置。

Oil-field development ; optimal control ; numberical simulation ; mathematical programming/differential equations of percolation

油田开发；最佳控制；数值模拟；数学规划/渗流微分方程

The author successfully applies the Gauss-type integral formula to the numerical solution to the constant differential equation and creates the Gauss-type implicit Runge-Kutta Method of which the accuracy of order 4 and degree 7 is already equivalent to that of the RK method with order 10 and degree 8 that is in common use.

成功地将高斯型求积公式用于常微分方程的数值解中，得到了高斯型隐式龙格库塔方法，4级7阶 GRK 法的精度已与目前较为常用的10级8阶 RK 法的精度相当。

The numerical integration of nonlinear systems of ordinary differential equations is a major problem to atmospheric chemistry models.

大气化学模式计算的一个重要研究热点是如何快速、精确地对相互关联的非线性常微分方程组进行数值积分求解。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。