On the convergence rate and optimization of a numerical method with splitting of boundary conditions for the stokes system in a spherical layer in the axisymmetric case: Modification for thick layers

The convergence rate of a fast-converging second-order accurate iterative method with splitting of boundary conditions constructed by the authors for solving an axisymmetric Dirichlet boundary value problem for the Stokes system in a spherical gap is studied numerically. For R/r exceeding about 30, where r and R are the radii of the inner and outer boundary spheres, it is established that the convergence rate of the method is lower (and considerably lower for large R/r) than the convergence rate of its differential version. For this reason, a really simpler, more slowly converging modification of the original method is constructed on the differential level and a finite-element implementation of this modification is built. Numerical experiments have revealed that this modification has the same convergence rate as its differential counterpart for R/r of up to 5 × 10³. When the multigrid method is used to solve the split and auxiliary boundary value problems arising at iterations, the modification is more efficient than the original method starting from R/r ～ 30 and is considerably more efficient for large values of R/r. It is also established that the convergence rates of both methods depend little on the stretching coefficient η of circularly rectangular mesh cells in a range of η that is well sufficient for effective use of the multigrid method for arbitrary values of R/r smaller than ～ 5 × 10³.     

凸域内弦的平均长度

本文研究了凸域内弦的平均长度.通过广义支持函数与凸域的弦幂积分,建立了凸域内弦的平均长度的一般公式,并用此公式得出了圆域和矩形域内弦的平均长度.     

Numerical solution of the linear inverse problem for the Euler-Darboux equation

An inverse problem of the reconstruction of the right-hand side of the Euler-Darboux equation is studied. This problem is equivalent to the Volterra integral equation of the third kind with the operator of multiplication by a smooth nonincreasing function. Numerical solution of this problem is constructed using an integral representation of the solution of the inverse problem, the regularization method, and the method of quadratures. The convergence and stability of the numerical method is proved.     

曾山对苏维埃政权建设的贡献

曾山在苏维埃政府工作期间,加强了苏维埃政权的组织、政治、思想、作风建设,严惩腐败分子,抵制批评了肃反工作中的“左”的错误;制定了土地分配及抗债的有关条例;加强了财政经济建设,促进经济发展提高生产,服从服务革命战争;他深入发动群众参加革命,统一地方武装,并把大批地方武装输送给主力红军。积极配合主力红军进行反“围剿”战争,保卫苏维埃政权。为建立、捍卫和发展苏维埃政权立下了丰功伟绩。     

湖南壶瓶山自然保护区管理与经济发展关系问题的探讨

从壶瓶山自然保护区内居民传统生活方式、建立保护区后给居民生产生活所产生的影响及如何解决自然资源保护与发展经济的矛盾等方面，探讨了保护自然资源和生态环境与发展经济的关系，并提出了相关的措施。     

具功能反应的三种群捕食者——食饵系统数学模型稳定性的研究

[1]中提出了具有功能反应的三种群捕食者——食饵系统的两种模型(Ⅰ)、(Ⅱ),并给出了局部渐近稳定的条件。本文研究了另外两种模型(Ⅲ)和(Ⅳ)的局部渐近稳定的条件。     

壮泰族群的渊源

壮泰族群的传统文化有许多共同点。这些共同点的形成,因缘于壮泰同源。两个民族的先民原来共同生活在今广西等地,一直到东汉时期。他们分离的时间,主要在三国两晋南北朝时期。分开以后,由于受到不同文化的影响,逐渐形成了两个不同的民族。这种情况,与远古时期生活在中国大陆和东南亚的三大民族集团的发展正相吻合。     

网络环境下高校图书馆管理模式的新趋势

论述网络环境下高校图书馆管理的主要模式:以读者用户为中心的管理模式、一切从方便读者出发的服务模式、以人为本的管理模式,塑造人本取向、主动参与的行为和塑造为教学科研服务的全校信息中心和学术机构的形象,以适应网络环境和我国市场经济的变化。     

Dynamical Running Mass of Quark in the Dyson-Schwinger Equation Approach

Based on the Dyson-Schwinger equations of QCD in the "rainbow" approximation, the fully dressed quarkpropagator Sf(p) is investigated, and then an algebraic parametrization form of the propagator is obtained as a solutionof the equations. The dressed quark amplitudes Af and Bf built up the fully dressed quark propagator and the dynamicalrunning masses Mf defined by Af and Bf for light quarks u, d and s are calculated, respectively. Using the predictedrunning masses Mf, quark condensates <0|q(0)q(0)|0> = -(0.255 GeV)a for u, d quarks, and <0|s s|0> = 0.8<0|q(0)q(0)]0)for s quark, and experimental pion decay constant fπ = 0.093 GeV, the masses of Goldstone bosons K, π, and η are alsoevaluated. The numerical results show that the masses of quarks are dependent on their momentum p2. The fully dressedquark amplitudes Af and Bf have correct behaviors which can be used for many purposes in our future researches onnonperturbative QCD.     

钢结构发展现状与对策

首先简要地介绍了国内外钢结构的发展现状，尤其是我省发展钢结构的前景和存在的主要问题，同时在分析论证的基础上，提出了在我国加入WTO后推广钢结构的对策和措施。