抛物型微分方程

This is another novelty of this method. For a family of parameters, the analytical solutions of parabolic PDEs are given using the new method in this paper, the result schemes are posed.

给出了一类抛物型偏微分方程的解析解，并给出了其与差分数值解法所得到的解的比较，比较曲线表明了这种新解法的正确性。

The existence and uniqueness of the solution to the equation are verified based on the homeomorphism theory, and an example is given to show the rationality of the solution.

数值求解拟线性抛物型偏微分方程边值问题通常可归结为解非线性方程组，非线性方程组解的存在与惟一性是解方程组的前提。

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。

A kind of delay parabolic partial differential equation is studied. A numerical method is proposed by discrete skill. The numerical stability for this kind of delay parabolic partial differential is analyzed by interpolation method.

研究了一类时滞的抛物型偏微分方程初边值问题，利用离散技巧，提出了一种数值方法，然后在一定插值技术下分析了算法的稳定性。

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

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

In this paper, we consider lumped mass metheds for parabolic type integro-differential equations.

本文讨论了抛物型积分微分方程的集中质量法。

Using the critical estimates of parabolic type partial differential equation.we ...

利用抛物型偏微分方程的极值原理，得到了带跳扩散模型下美式期权价格及最佳实施边界的误差估计。

Furthermore the existence condition and the variation principle of the differential equation are discussed, and the theory gist of the step-time technologies is presented.

应用相关的势算子理论对抛物型偏微分方程的泛函存在条件及变分定理进行了较系统的讨论，进而指出了"时间步进有限元法"各种处理方法的理论依据。

Hybrid Dynamic; time-varying systems; finite horizon; optimal control; Quasi-Variational Inequality; viscosity solution; lower semicontinuous solution; uniqueness; Dynamic Programming; Viability Theory; inventory systems; mathematical model; proximal subdifferential; parabolic equation; nonlinear boundary

基础科学，数学，控制论、信息论混合动态；时变系统；有限时间；最优控制；拟变分不等式；粘性解；下半连续解；唯一性；动态规划；生存定理；库存系统；数学模型；邻近次微分；抛物型方程；非线性边界

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。