查询词典 consistent system of equations

More importantly, difference equations also appear in the study of discretization methods for differential equations.

更重要地，在对微分方程的离散化方法的研究中也出现了差分方程。

Combining Huangkun's equations and the Maxwell equations for electromagnetic field, we obtain the dispersion relations of polaritons with the effect of nonlinear interactions included.

与这支色散关系相对应，在该频率域的入射电磁波的反射系数R＜1而形成一定的透射窗口，这是个有意义的结果。

Then the fundamental equations for plate/shell bi-nonlinear finite element model were set up with layered finite method. the fundamental geometric nonlinearity equations for the unbonded prestressed tendon and double spring element were proposed, and the double spring element was used to simulate the interaction of unbonded prestressed tendon and deviator.

最后，针对配置体外CFRP预应力筋混凝土梁的受力特性，对各规范和规程中的裂缝计算公式进行了相应的修正，建立了适用于配置体外CFRP预应力筋混凝土箱梁和T梁短期和长期裂缝宽度的计算公式。

Based on dynamic equilibrium equations of three-dimensional elasticity, a state equation was established for orthotropic foundation plates using double Fourier series, in which no assumption about stress or displacement modes was made. Analytical solutions and frequency equations of unified formulas were presented for thin and thick laminated foundation plates.

从三维弹性力学动力平衡方程入手，抛弃应力或位移模式的人为假定，利用Fourier双重级数，建立了正交各向异性地基板的状态方程，并分别给出了地基上任意层厚薄板静力问题的统一解析式和动力问题的频率方程。

The dynamical processes of nutrient release were described correctly by Elovich equation S(subscript t=a+blnt, double constant equation InS(subscript t=a+hlnt and parabola diffuse equationS(subscript t=a+bt^0.5 and nutrient release rate could be described by parameter b of all equations.

结果表明，20℃恒温模擬条件下缓释复合肥氮、磷、钾养分缓释性能较佳，3种养分释放的动力学过程可用Elovich方程S=a+blnt、双常数方程InS1=a+blnt和抛物线扩散方程S=a+bt^0.5表征，各方程参数b值均可用於描述缓释复合肥氮、磷、钾养分释放速率。

This paper is devoted to solving linear saddle point problems, Specifically, We consider nonsymmetric systems, written as usual in block form, where the upper left block is an invertible linear operator with positive definite symmetric part. Such saddle point problems arise, for example, in certain finite element and finite difference discretizations of NavierStokes equations, Oseen equations, and mixed finite element discretization of second order convection-diffusion problems.

中文题名求解鞍点问题的迭代方法副题名外文题名论文作者冯丽红导师曹志浩教授学科专业计算数学研究领域\研究方向学位级别博士学位授予单位复旦大学学位授予日期2002 论文页码总数87页关键词鞍点问题迭代方法网格离散线性方程组馆藏号BSLW /2003 /O241 /15 论文针对鞍点问题的求解分析了一些典型的快速算法。

The general forms of the conservation of momentum, t emperature and potential vorticity of coastal ocean are obtained in the xz pla ne for the nonlinear ocean circulation of Boussinesq fluid, and a elliptic type partial differential equations of second order are derived. Solution of the part ial differential equations are obtained under the conditions that the fluid move s along the topography.

在考虑了陆架地形后，在垂直海岸的xz剖面上，对Boussinesq流体的非线性海洋运动方程求得了总动量守恒、温度守恒和位势涡度守恒的普适形式，进而得到流函数所满足的椭圆型二阶偏微分方程，在给定流体沿地形运动的条件下，算出问题的解。

For Dirichlet problem of elliptic type equations,Chen[7]has proved the existenceof viscosity solutions under nature structure conditions.As for the oblique derivativeproblems,Ishii[6]has obtained the existencec results.But there is no result ofthese types on parabolic type equations.

对于椭圆型方程的第一边值问题，陈亚浙[7]用闸函数方法证得在一定的结构条件下定解问题存在连续粘性解，而斜微商问题的同类结果是Ishii[6]证得的，但对于抛物型方程似乎还是个空白。

According to the construction constituted and the drive principles, the formation methods of the theoretical tooth shape and the practical tooth profile for hypocycloid and epicycloid are studied, and the right-angle coordinate equations and the complex number vector equations are deduced respectively.

根据摆线钢球行星传动的结构组成原理和啮合传动原理，研究了构成钢球摆线槽端面啮合副的内、外摆线理论齿形和实际齿廓的形成方法，并分别推导出内外摆线理论齿形和实际齿廓的直角坐标方程和复数矢量方程。

Finally, to understand and reproduce the results of numerical simulations, we propose a phenomenological noise driven equations describing evolutions of macroscopic variables under the assumption of local energy equipartition and the fluctuation-dissipation theorem. The numerical results of the stochastic equations and those of numerical results from the original Hamiltonian dynamics coincide with each other very well.

最后，为了理解和重现数值模拟的结果，我们通过局域能量均分假设和涨落耗散定理，建立了一个由噪声驱动的宏观变量演化的唯象动力学方程。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。