牛顿方程

在非内点连续化算法中，求解牛顿方程是其核心步骤，也是工作量最大最集中的部分。

In the non-interior continuation algorithm , solving Newton equation is its critical step and also brings a heavy workload .

在分子动力学方法中假定原子的运动遵循某种确定的描述，这种描叙可以为牛顿方程、拉格朗日方程或哈密顿方程等，即把原子的运动与确定的轨迹联系在一起。

The motion of atoms is assumed to follow some definite description such as Newton equation , Lagrange equation or Hamiltonian equation , etc. , which means the motion of the atoms relates to determined trajectory .

并将其中的Huang算法用于求解带有各种约束（包括对称和稀疏约束）的拟牛顿方程。

Huang algorithm in the ABS class in used to solve quasi Newton equations with various constraints including symmetry and sparsity .

基于新拟牛顿方程的一类改进BFGS算法

A Class of Modified BFGS Algorithm Based on the New Quasi-Newton Equation

本文通过计算牛顿方程Poincaré映射的扭转系数公式，并结合保积映射对稳定性理论进行研究。首先，对R。

The computation of the twist coefficient of the Poincar é map of Newtonian equations together with the stability theory of fixed points of area-preserving maps is applied in the study .

基于弱牛顿方程的一种无记忆方法

A New Memoryless Method Based on Weak Quasi-Newton Equation

在算法上分别用牛顿方程和相对论方程求解质子和电子的运动，以获得强光作用所产生的正离子的动能分布。

Newton equations and relativistic equations were used to solve motions of protons and electrons , respectively .

同时给出结合拟牛顿方程的三项记忆梯度算法，从而给出需要向量存储且具有全局收敛性的拟牛顿算法的修正形式。

Combining quasi-Newton method with our new method , quasi-Newton method is modified to have global convergence property .

对于新拟牛顿方程，文章提出了一种求解无约束优化问题的异步并行算法，并讨论了所设计算法的全局收敛性。

An asynchronous parallel method for resolving unconstrained optimization problem is presented , and its global convergence is discussed .

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。

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 .

本文的前半部分通过对非线性最小二乘问题各种求解方法的研究，从算法设计的角度将求解方法划分为三大类：基于拟牛顿方程的方法，混合算法以及自度量算法。

NUMERICAL RESEARCHES ON SELF-SCALING VARIABLE METRIC ALGORITHMS In this paper methods for nonlinear least squares problems are classified as : methods based on quasi-Newton equation , hybrid methods and self-scaling method .

将SVC基频等值电抗及电纳表达为其控制角的显函数，推导了SVC线性化牛顿潮流方程；

Base frequency equivalent reactance and susceptance of SVC are expressed as an explicit function of its control angle and Newton-Raphson power flow equations are derived .

从理论上推导出TDOA双曲线牛顿迭代方程，解决了双曲线方程由于测量时间差存在误差造成难以求解的问题。

In addition , the TDOA Newton iteration of hyperbolic equations was derived theoretically , which can solve the problem of hyperbolic equations due to the measurement errors resulted from time differences .

本文从质点系的牛顿动力学方程出发，导出了完整系和非完整系速度空间的DAlembert原理的各种形式。

In this Paper , We have deduced various formulas for D Alembert principle of holonomic and non-holonomic system in the velocity space from Newton dynamical equation of system of particles .

因此，完整系统高阶运动微分方程是对牛顿动力学方程及传统Lagrange方程、Nielsen方程、Appell方程等二阶运动微分方程的进一步补充。

Therefore , the higher-order differential equations of motion of the holonomic system are a complement to the second-order differential equations of motion , including Newtonian kinetic equations and the traditional Lagrange equations , Nielsen equations and Appell equations .

最后以蜿蜒运动为例进行了建模与仿真。其次，论文利用D-H法和牛顿欧拉方程对蛇形机器人的空间运动进行了动力学和运动学的分析和建模。

Then we make the serpentine locomotion as an example to do the experiment and simulation . Secondly , we analyzed and modeled the snake-like robot locomotion in the space based on the D-H method and New-Euler equations .

太阳引力场中的二阶后牛顿光线方程

The post-post-Newtonian equations of light ray in the solar gravity field

外区域上非牛顿流体方程解的存在性

Existence of Solutions for the Non-Newtonian Flow Equations in an Exterior Domain

解牛顿运动方程的能量与动量守恒型积分方法。

Energy and momentum conserving integrators for Newtonian motion equations .

一个关于牛顿运动方程解的存在定理

On the Existence Theorem of the Newtonian Equation

相对论天体力学和后牛顿运动方程

Relativistic Celestial Mechanics and Post-Newtonian Equations of Motion

二阶后牛顿光线方程

The Second-order Post-Newtonian Equations of Light Ray

证明了一类具有非线性边值条件的非牛顿渗流方程解的存在和唯一性。

In this paper , we prove the existence and uniqueness of global weak solution of Non Newton Filtration equation with a kind of nonlinear boundary condition .

基于牛顿欧拉方程和二状态运动的机构（间）隙模型，提出了一种建立机构（间）隙复合模型的新方法。

Based on the classical clearances description of Newton-Euler and two state motions , this paper developed a new theory of creating the complex models of mechanism clearances .

讨论具有一般形式的对流项、扩散项、边界流项以及反应项的一维牛顿渗流方程初边值问题非负解的整体存在性。

The present paper studied the global existence of nonnegative solutions of one-dimensional Newtonian filtration equation with more general boundary fluxes term , reaction , diffusion and convection .

在牛顿运动方程和流体力学基础上建立矢量推进水下航行器的六自由度运动学和动力学模型，并根据工程实践对理论模型进行了化简。

The 6 DOF kinematic and dynamic models for the Vectored Thruster AUV ( VTAUV ) is built at the base of Newton Equations of Motion and hydrodynamics , and simplify the model based on the engineering practice .

一类非牛顿多方渗流方程弱解的Holder连续性

Holder Continuity of Weak Solutions for a Class of the Equations of Non-Newtonian Polytropic Filtration

对一类非牛顿多方渗流方程，我们得到其非负弱解的Holder连续性，并且部分地解决了有关的问题。

We obtain Holder continuity of nonnegative weak solutions for the equations of non-Newtonian polytropic filtration and partially solve the related open problem .

非牛顿多方渗流方程的Harnack不等式

Harnack Inequality for the Equation of Non-Newtonian Polytropic Filtration

本文将非牛顿流体动量方程、能量方程与HB流体的本构方程相结合，推导出了流体在轴向同心环空中的速度及温度分布公式。

Combining the constitutive equation of Herschel-Bulkley fluid with the momentum equation and the energy equations of non-Newtonian fluid , the velocity and the temperature profiles for the annulus pipe flow of Herschel-Bulkley fluid are obtained .