查询词典 implicit differential equation

In the point reactor model, the probability function(n, t0, t) of a source neutron at time t0 leading to n neutrons at time t is dealt with. The non-linear partial differential equation for the probability generating function G(z; t0, t) is derived. By solving the equation, we have obtained an approximate analytic solution for a slightly prompt supercritical sys tem.

在点堆模型基础上，考虑了在t0时刻系统引入一个源中子，在t时刻产生n个中子的概率(n， t0， t)推导了概率生成函数G(z； t0， t)所满足的偏微分方程，并得到了近似解。

The paper prices bond and bond option, analyzing dynamic interest rate, regime-switching and option pricing. According to the affection of regime-switching to interest rate derivative pricing, the paper deduces the partial differential equation of bond pricing with Ito lemma, and obtains characteristic function and recursion equation of bond option.

从利率动态变化、结构转换和期权定价三个方面进行分析，对结构转换下的债券和债券期权进行定价，考虑了结构转换对利率衍生物定价的影响，利用Ito引理获得债券定价的偏微分方程，并得到债券期权定价的特征函数与递归等式。

The governing equation is further reduced into an ordinary nonlinear differential equation by Galerkin's method.

利用Galerkin方法将其转化为非线性振动方程。

The motion equation of a particle is reduced to the nonlinear differential equation with a weak_periodic modulation by sine_squared potential.

利用正弦平方势把粒子运动方程化为具有外周期弱调制的非线性微分方程，并利用Melnikov方法分析了系统出现Smale马蹄的临界条件。

Considering the change of the volume from the liquid state to the gas state, this paper implored the Clapeyron differential equation and the equation of vapor-liquid equilibrium, then obtained the heat of gasification and the entropy from 20 K to 38 K and the saturation curve.

本文采用Clapeyron方程的微分形式和氘的汽液平衡方程，考虑氘由液态转变为气态的体积变化，计算得到20K到38K各温度对应的气化热和熵变，最后绘制出氘的饱和曲线。

Considering the cha nge of the volume from the liquid state to the gas state, this paper implored the Clapeyron differential equation and the equation of vapor-liquid equilibrium, then obtai n ed the heat of gasification and the entropy from 20 K to 38 K and the saturation curve.

本文采用Clapeyron方程的微分形式和氘的汽液平衡方程，考虑氘由液态转变为气态的体积变化，计算得到20 K到38 K各温度对应的气化热和熵变，最后绘制出氘的饱和曲线。

The major implementations of the developed model include: Pseudo-spectral and finite-difference schemes are employed to approximate the spatial-differential operators in the horizontal and vertical directions, respectively. A second-order Runge-Kutta method is adopted to integrate in time for the velocity field and the free-surface elevation. The solenoidal condition of the velocity field is satisfied by solving the transformed pressure Poisson equation. A modified secant method is used to accelerate the iterative solution of the non-separable Poisson equation.

模式的主要数值方法包括：分别以拟频谱法以及二阶有限差分法近似控制方程与边界条件中的水平与垂直导数；以二阶Runge-Kutta法进行非稳态的自由液面位移与流场速度的时间积分；利用改良式割线叠代法求解计算区间中不可分离的压力Poisson方程式，以满足不可压缩流条件。

The numerical solution of this kind of partial differential equation by the Boundary Element Method has been unable to be considered for the reason that the basic solution of this equation set has not been found.

由于至今尚未求得此方程组的基本解而无法考虑用边界元法对该种气体流动进行数值求解。

The standard parabolic equation method was obtained by the decompocition of the scalar wave equation and the expansion of the pseudo-differential operator.

通过对传统波动方程的分解和伪微分算子的近似展开，获得了标准抛物线方程。

In this paper, according toinfinitesimal criterion in symmetry theorem, using differential Wu-method(char-set byMathematica software) and conditions of symmeties of equation u_=Hu_,we givenew potential symmetries for nonlinear telegraph equation u_=F

本文根据对称理论中的无穷小准则，利用微分形式的吴方法(借助于Mathernatica软件编写的求解微分特征列集的程序包)和u_=Hu_型方程对称的存在条件，得到了非线性电报方程u_=F

There had been a moment during the breakfast meeting, though, after the backslapping and the small talk and when all of us were seated, with Vice President Cheney eating his eggs Benedict impassively and Karl Rove at the far end of the table discreetly checking his BlackBerry, that I witnessed a different side of the man.

那次早餐会期间，在表示过关心和寒暄以后，我们所有人坐了下来，我注意观察了一下，副总统切尼面无表情地吃着班尼迪克蛋（Eggs benedict，源自美国，以英式松饼、火腿、水煮蛋以及荷兰酱组合而成），卡尔。罗夫在餐桌的远端谨慎地经常查看他的黑莓手机，我目睹了他所不为人知的一面。

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