查询词典 compatible system of algebraic equations

Keywords: electromagnetic integral equations;higher order vector basis functions;maximally orthogonalization;sparse impedance matrix

通过文中的处理，使得存储阻抗矩阵的内存需求量和求解矩阵方程的迭代求解时间大为降低。

Firstly, by using the vector integral theory and boundary conditions of the electromagnetic filed, the boundary problem of two electromagnetic fields in the upper half space and lower half space is transformed into two vector integral equations just related to the topography interface, i.e.

提出了一种用边界元法计算频率域人工源三维地形电磁场的数值模拟方法。

On the other hand,Raymond considered systemsgoverned by linear elliptic and parabolic differential equations with the integrand in costfunctional has to be concave in the state variable.

在那里，指标泛函中的被积函数关于状态变量必须是凹的。因而，那里所给的条件和Cesari条件是互不包含的。

In the case of simply supported ends, the Galerkin method is used to simplify the integro-partial-differential equation into an integro -differential equation. The equation is further simplified into a set of ordinary differential equations by introducing an additional variable. Finally, the numerical methods in modern nonlinear dynamics such as phase plane trajectory, power spectrum and Lyapunov exponents are adopted to investigate the dynamical behavior of the beam.

对于两端简支的情形，采用Galerkin方法简化为常微分－积分方程；然后通过引进附加变量的方法进一步简化为常微分方程；最后利用相平面图、功率谱和Lyapunov指数等非线性动力学中的数值方法识别梁的动力学行为。

By fitting of experimental data of concrete beams with 2-D composite cracks based on the fictitious crack model, mathematical expressions for parameters α and β in the 2-D composite inteneration equations for Ⅰ-Ⅱ,Ⅰ-Ⅲ, and Ⅱ-Ⅲ composite cracks are obtained, and based on the expressions, 2-D composite inteneration curves under different proportions of two stress intensity factors, that is under different weights, at the ends of 2-D composite cracks can be directly derived.

作者中文名：邵勇；王向东摘要：基于虚拟裂缝模型，通过对混凝土二维复合型裂缝梁试验数据的拟合，得到了ⅠⅡ，ⅠⅢ，ⅡⅢ3种二维复合型软化方程中参数α，β的数学表达式。据此表达式可直接求得二维复合型缝端2个应力强度因子之任意比值下混凝土二维复合型的软化曲线。

Specifically, there are three kinds:(1) constant variation method to track two-body problem the root number of variables to establish perturbed equation;(2) coordinate perturbation method in order to track objects in real position and the location of an intermediate orbit perturbation differential equation as a variable to establish;(3) transformation theory, through a series of canonical transformation to reduce the order of the equations of motion to make it a more simple form.

具体做法有三种：（1）常数变异法，以二体问题轨道根数为变量建立摄动方程；（2）坐标摄动法，以天体在实际轨道上的位置与某一中间轨道上的位置差作为变量建立摄动方程；（3）变换理论，通过一系列正则变换，降低运动方程的阶数，使其具有更简单的形式。

This is the learning algorithm "Adams steps with four bands interpolation formula correction" of their times calculated for the numerical solution of differential equations procedures, they can modify the equation for the solution and the other equation, Hi!

这个算法是在学习"用Adams三步四阶内插公式校正"时自己遍的计算这个微分方程数值解的程序，可以修改里面的方程而用于求解其他的方程，请指正！

Based on the Maxwell\'s equations, the boundary value problem, variation problem, interpolation function and stiffness matrix in two-dimensional magnetotelluric are derived.

从麦克斯韦方程组出发，推导出二维大地电磁测深的边值问题、变分问题、有限单元法的插值函数以及单元刚度矩阵。

Several sufficient conditions for judgement of the invariant set and the attraction for the equations are obtained by using the properties of nonnegative matrices and some analytical methods.

对一类大型非线性偏泛函微分方程的渐近行为进行研究，利用非负矩阵性质和适当的分析技巧，建立了判断其不变集和吸引性的充分条件。

We prove that every isolated invariant set of averaged autonomous equation can continuous to an isolated invariant set of skew-product flow associated to the non-autonomous equations.

证明了平均自治方程的每个孤立紧不变集可以连续到非自治方程的斜积半流的孤立紧不变集上。

Methods Clinical data of 3 cases of bile duct injury during laparoscopic cholecystectomy were analyzed retrospectively.

回顾总结3例LC术中胆管损伤的临床资料，分析3例胆管损伤的原因及对策。

These techniques are applied to the gobang.

本文将这些技术用于五子棋中。