The numerical solution is obtained by finite difference divergence of time, and finite volume divergence of space.
采用时间有限差分离散，空间有限体积离散的方法求问题的数值解。
The main research results are obtained as follows:(1) To understand the rheological properties of cohesive sediment, a linear gravity wave theory over Maxwell fluids of finite depth is presented, and a model to solve viscoelastic parameters by Genetic Algorithm and a pseudo-plastic model are developed; (2) A coupled numerical hydrodynamic model for wind waves and currents is developed, and a numerical model for multi-fraction fine sediment transport under combined action of wind, wave and current is developed; (3) Theoretical models for sediment suspension due to waves and combined waves and current are developed, and an analytical solution for sediment suspension due to waves and a semi-analytical solution for sediment suspension due to combined waves and current are obtained; (4) The Lattice Boltzmann Method is used to study the cohesive sediment transport due to combined waves and current, and simulation of wave boundary layer, combined wave and current boundary layer, and cohesive flocs settling in still and turbulent water are carried out.
其主要研究内容和取得的成果有：（1）为了了解粘性泥沙的流变规律，建立了有限深度Maxwell 粘弹性流体上线性重力波理论，并针对影响泥沙运动特性的流变特性进行研究，建立了利用遗传算法求解淤泥粘弹性参数的模式和泥床伪塑性体模型；（2）建立了近岸风浪与水流运动模拟的耦合水动力数值模型和风、浪、流共同作用下多组分细颗粒泥沙模拟的数学模型；（3）建立了波浪及波流共同作用下悬沙分布理论模型，得到了波浪作用下悬沙分布的解析解和波流共同作用下悬沙分布的半解析解；（4）将格子玻尔兹曼方法引入到波流共同作用下粘性泥沙运动的研究中，利用LBM对波浪边界层、波流边界层和粘性泥沙絮团的静水沉降和在水流中的沉降进行了模拟，为从微观角度研究波流边界层运动和粘性泥沙运动开辟了新的思路。
Has no nonnegative solution for a given g and b, we can observe a Bose-Einstein condensation, indicating that a finite fraction of the particles condens on the lowest energy level.
没有非负解某一G和B ，我们可以观察到玻色爱因斯坦凝聚，这表明了有限的一部分粒子condens的最低能量水平。
A two-grid algorithm for mixed finite element solution of nonlinear parabolic equations, Acta Math Appl Sinica, 30(2007), No.
刘伟，芮洪兴，龙晓翰，非线性抛物问题的二重网格混合元算法，应用数学学报，Vol.30 (2007)，No。
B Perform a transformation to imaginary time, t →-it, and consider fluctuations about the stationary solution of the GP equation, , Evaluate the fluctuation determinant contribution to Z at finite temperature, and show that the answer agrees with what is expected from Bogoliubov quasiparticles, treated
实行虚时间变换t→-it，并考虑关于GP方程定态解的波动，估算有限温度下波动对Z的影响，并证明结果与巴格寥夫准粒子所预期的一致。
The invention discloses a preparing method of bacillus alcaligenes strain Alcaligenes sp., CCTCC No. M206121 of degraded o-nitrophenol, which comprises the following steps: allocating inorganic salt culture medium with dibasic sodium phosphate, monobasic potassium phosphate, manganese sulfate, copperas, addex-magnesium, calcii chloridum, blue copperas, white copperas and hydrogen dioxide solution; adjusting pH value; sterilizing under high temperature; enriching bacterial; sampling from sludge; allocating suspending liquid with soil sample and inorganic salt; seeding into ortho-nitrophenol fresh organic salt culture medium with finite volume seeding quantity; keeping the temperature; culturing on shaker; getting enriched culture; separating and purifying enriched culture in LB solid culture medium.
本发明公开了一种降解邻硝基酚的产碱杆菌菌株及制备方法，产碱杆菌为Alcaligenes sp。，CCTCC No.M206121。其制备步骤是：首先是配制无机盐培养基，成分为磷酸氢二钠、磷酸二氢钾、硫酸锰、硫酸亚铁、硫酸镁、氯化钙、硫酸铜、硫酸锌和双蒸水，调pH值高压灭菌；其次是菌种的富集，从污泥中取样，将土样与无机盐培养基配制成悬浮液，将悬浮液以一定体积接种量接种到含邻硝基酚的新鲜无机盐培养基中，恒温，摇床培养，获富集培养物；第三是将富集培养物在LB固体培养基中分离和纯化。
Papers analyzed the management flexibility and value of mining engineering, and set up the model of value of a developed mine, value of an undeveloped mine and value of an exploration project under the conditions of uncertainty with the theory of real option, and worked out the solution of model above-mentioned through three numerical methods, i. e. the Fig Tree, finite difference approximation and Monte Carlo simulation.
论文最后研究了矿业工程中的管理灵活性及其价值，运用实物期权方法分别建立了不确定条件下矿业生产阶段、开发阶段和详查、普查、预查阶段的矿业投资评价模型，并运用二叉树图、有限差分逼近和Monte Carlo模拟三种数值方法对所建模型进行了求解，同时通过实例对论文的研究结果进行了佐证。
The finite dimension approximating solution for initial-boundary value problem of coupling nonlinear system of hyperbolic equation is constructed by orthogonal basis of characteristic value sequence of the Laplace operator in the Dirichlet boundary conditions.
以Laplace算子在Dirichlet条件下的特徵值序列为正交基底构造耦合非线性双曲型方程组初边值问题的有限维近似逼近解，证明该逼近解的一致收敛性。
First of all, the paper recommended the basic theory of curved girder bridge and deduced the procedure of calculation, such as Volasovs elasticity theory of thin-walled structure, differential equation of plan curved girder and circular differential equation about force-strain. It also expatiated solution of structural mechanics and method of finite element, and expounded several models of method of finite element. The development of finite element program is recommended in this paper. Compared with all-purpose finite element program, finite element program of exclusive use on bridge has its predominance in bridge structure calculation such as MIDAS/Civil.
本文首先对曲线梁桥的基本理论和计算方法—符拉索夫弹性薄壁结构理论、平面曲梁的平衡微分方程、力与应变关系的圆弧微分方程等进行了介绍和推导，对曲线箱梁桥的结构力学解法、有限元法进行阐述，论述了曲线梁桥有限单元法的几种模型及其应用特点，介绍了桥梁结构的有限元分析程序的发展，比较了通用有限元分析软件与桥梁结构专用有限元分析软件之间的异同，着重介绍了MIDAS/Civil有限元分析软件。
Three classical electromagnetic radiation/scattering cases of thin wires were considered for comparison. The results confirmed that the finite difference scheme is very efficient for the solution of TDEFIE of thin wire.
文中还利用该方法研究了电磁辐射、散射的三个经典问题，并将结果与时域矩量法的结果进行了比对，研究表明，该方法求解细线结构的 TDEFIE非常有效。
Furthermore, the finite termination property is obtained if the solution is nondegenerate.
而且，当问题的解非退化时，算法有限步收敛。
A smoothing technique is combined with optimum approximation and finite element piece-wise interpolation in the method, It can simultaneously process measured vector components, imp ro ve smoothing capability of solution, space composed of original discrete points and increase the accuracy of the solution, especialy its derivatives.
该方法结合最佳逼近、有限元分片插值与光顺技巧，对测量向量各独立分量进行处理，改善了原离散点构成的解空间的光滑性，提高了解尤其是导数场的精度，在测量区域内再现了光顺向量函数及连续的导数pcs什么意思？- 6个回答 3167次浏览
Chapter 2 introduced the fundamental of geometrically nonlinear finite element method and solution methods.
第二章介绍了几何非线性有限元的基本原理及求解方法。
Based on an unstructured grid, finite-volume coastal ocean model, the complete three-dimensional fine-solution equation group of shallow-sea tide is adopted to calculate the tide in Qinzhou Bay. The equation group consists of tide-control equations and obturating turbulence equations.
基于采用不规则三角网格和有限体积方法的FVCOM模式，建立钦州湾三维潮流数值模型来重现钦州湾的潮位和潮流变化状况。
A method of automatically searching the best relaxation factor is presented for the effective solution of initial value problem and local convergent problem in non-linear iteration algorithm of the finite element analysis.
对焊机的电磁方案进行优化设计计算，比较了不同的优化方法，得到一种适用于高漏抗焊接变压器的优化方法，并为焊接变压器设计参量的取值提供了依据。
Based on the solution of sink, the approximate solution of single drain hole in finite element is derived by use of the superpostion principle Then, the theoretical solution is extended to the case of some drain holes in one finite element, and the method is used in seepage control analysis with quick convergence.
在点汇基本解的基础上，应用叠加原理推导出有限元单元内单个排水孔的近似解表达式，然后应用井群叠加原理，将单个排水孔的解析理论推广到单元体内含多个排水孔的情况，最后将排水孔的准解析方法应用于渗流控制有限元分析。该方法具有迭代收敛速度快，精度好的特点。
Direct methods compute the solution to a problem in a finite number of steps.
直接方法计算的解决方案中的一个问题一个有限的一些步骤。
The full- field stress analytical solution of isotropic disk subjects to distributed compression on a finite area at rim had been derived by Hung and Ma, and it has a good agreement between theory and experiment of Digital Photoelasticity by estimating distributed compression on a small area at rim.
等向性圆盘於边界受局部分布力的全场应力解析解已由洪光民和马剑清导出，并且经过数位光弹实验法观察小范围局部分布力的全场应力分布情形时，和理论有高吻合度的结论。
First, we prove that the solution must quench at some finite time, no mat-ter what the initial data would be, and that the derivatives of the solution with respectto the time variable must blow up at quenching time.
我们首先证明了对于任何初始条件而言，解都在有限时刻T quench，并且在quenching现象发生时，解对时间变量的偏导数必然爆破。
Finite difference method, also named after grid method, is one of the common approximation methods to solve definite solution problem of the partial differential equation.
差分方法，又名网格法，是求解偏微分方程定解问题的常用的近似方法之一。