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The derivatives of the nonsmooth equations are computed to make the generalized derivative matrix nonsingular. Then the nonsmmoth damped Newton method is used to solve them.Analytic solutions of the KdV equation with variable coefficients: Shallow water wave problems belong to problems of free surface wave, and can be molded by the nonsmooth equations model given above in principle.

在前面建立的非光滑方程组数学模型和固定网格法基础上,利用广义导数的概念给出了求解渗流自由面的一种新方法-----非光滑阻尼牛顿法,该法是对非光滑方程组求导,适当的处理广义导数矩阵使其非奇异,利用非光滑牛顿法求解。

The discovery that every heavenly body has gravity was made by Newton.

语序我翻的有点乱每个天体都有引力这个现象是牛顿发现的(字面意思:这个发现是牛顿做出的。

Based on utilizing the unified chaotic model to obtain initial points of Newton iteration method, a new method for solving sets of nonlinear equations is proposed.

以统一混沌模型产生牛顿迭代的初始点,提出了基于统一混沌的牛顿迭代法求解非线性方程组的新方法。

In recent years, many people studied the convergence of the Newton method and the Penalty method, and gave many different algorithm.

第三部分,针对于第二部分中提到的牛顿内点优化方法的构成特点,提出一种新的牛顿内点优化算法。

The simplification for the non Newtonian fluid equation is made and some inverse solution s of flow function are obtained.

对非牛顿流体方程进行了简化求解,使用逆解方法得到了流函数的某些反解,使对二阶非牛顿流体的平稳平面流动有了进一步的认识与理

As the Jacobi Matrix of Fast One-Step Newton Error Reconstructor algorithm can be calculated previously t, the same imaging speed as back-projection algorithm can be made. The study results show that the FNOSER algorithm can obtain static image with a character of high space resolution, accurate orientation, fast imaging, and so on.

2基于牛顿法的一步误差重构算法对静态电阻抗成像技术进行了详细研究,推导出FNOSER 静态算法,快速牛顿一步误差重构算法其雅可比矩阵等可以事先计算好,从而可以获得和反投影算法类似的成像速度。

Anon-Newtonian thermal elastohydrodynamic lubric ation model is set up to analyze running-in process under heavy load.

建立了非牛顿流体热弹流润滑数学模型,对重载条件下磨合过程进行数值分析,在考虑具有粘塑性本构的非牛顿流体时,采用了高效粘度法对建立的方程进行了解算。

And trust region type algorithm with memoryless technology not only satisfies new factorized quasi-Newton equation, but also saves much storage and algebraic operations than the original factorized quasi-Newton methods.we prove it posses the global convergence and the local superlinear convergence under some condition.

本文中利用无记忆技术产生的无记忆型信赖域算法不仅满足新分解牛顿方程,具有其所有的良好性质,而且比一般的分裂拟牛顿法节省存储空间,减少计算量。本文证明了在一定假设条件下该算法具有全局收敛性及局部超线性收敛性。

From the kinetic differential equations of the photon in the equatorial plane of the spherical symmetrical gravity field, the post-post-Newtonian amendments for radar echo delay test in the Reissner-Nordstrm field are discussed using the post-Newtonian approximation method.

从球对称引力场中光子在赤道面上的运动微分方程出发,采用后牛顿近似方法,讨论了Reissner-Nordstrm度规场中雷达回波延迟实验的后后牛顿修正。

Newtons first biographer claimed he heard the story from the man himself.

第一个撰写牛顿传记的作家声称他是从牛顿本人口中听到这个故事的。

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