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One boundary condition, is satisfied by means of collocation method of separate points of the contour.


In this article we consider extrapolation methods in approximating smooth linear functionals by means of collocation solutions of boundary integral equations.




 The present paper is concerned with viscoplastic analysis of a cylindrical container by using method of weighted residuals. Formulations of numerical calculation are established in time domain by means of collocation and leastsquare collocation method. Two types of Φ(F) are proposed. The convergence, stability and accuracy of calculation are discussed. A computer program for solving the governing equations has been developed and a numerical example is given. It should be pointed out that the proposed... The present paper is concerned with viscoplastic analysis of a cylindrical container by using method of weighted residuals. Formulations of numerical calculation are established in time domain by means of collocation and leastsquare collocation method. Two types of Φ(F) are proposed. The convergence, stability and accuracy of calculation are discussed. A computer program for solving the governing equations has been developed and a numerical example is given. It should be pointed out that the proposed method of weighted residuals is very useful and convenient for solving viscoplastic problems.  本文采用在时间域内离散的加权余量配点法建立了柱形容器粘塑性问题的求解格式,并选用两种不同的Φ(F)形式进行计算。文中分析了计算结果,讨论了求解公式的收敛性、稳定性和计算精度等问题。  In this paper, a singlestep numerical integration algorithm for the dynamic response analysis of structures is proposed. By means of collocation method using Hermite interpolation function as the displacement fanction in time domain and putting yero residuals in the motion differential equations of structure at two time moments in one time step, a higher accuracy calculation scheme with a parameter θ will be obtained. The analysis of stability and accuracy of the scheme are prosented. The scheme is unconditionally... In this paper, a singlestep numerical integration algorithm for the dynamic response analysis of structures is proposed. By means of collocation method using Hermite interpolation function as the displacement fanction in time domain and putting yero residuals in the motion differential equations of structure at two time moments in one time step, a higher accuracy calculation scheme with a parameter θ will be obtained. The analysis of stability and accuracy of the scheme are prosented. The scheme is unconditionally stable within the range of 0.5<θ<1. In the case of 0.3<θ≤0.5, the damping is considered, the scheme can be also unconditionally stable. The accuracy of the scheme as measured by AD, PE and is better than that of the wilsonθ method and Newmark method. Examples show that the result of the scheme is more close to the exact solution than wilsonθ method.  本文给出了结构动力运动方程的一种单数值积分的计算格式。本文以Hermite插值函数作为时域的位移函数,应用配点法,在时间步长中令运动方程的加权钱数为零,推导出带有参数θ,且精度较高的计算格式。当参数θ满足0.5<θ<1时,本文的计算格式是无条件稳定的。在考虑阻尼的情况下,当0.35<θ≤0.5时,格式也同样是无条件稳定的,而且精度的三项指标AD,PE和■都优于Wilsonθ法和Newmark法。本文还通过例题进一步验证了计算格式的精度较上述方法高,能更好地与精确解相吻合。  By the method of literature data,the constitution,collocation,ways and measures of the uses and development of the university physical education resource collocation, this paper aimed to work out issue of scarcity and needs limitlessness of university P.E. resources.The study showed that the resource of PE consists of visible and invisible,macroscopic and microcomic resource.There exist 3 means of collocation.P.E. recources must be properly developed in order that they can enjoy sustainable utilization.... By the method of literature data,the constitution,collocation,ways and measures of the uses and development of the university physical education resource collocation, this paper aimed to work out issue of scarcity and needs limitlessness of university P.E. resources.The study showed that the resource of PE consists of visible and invisible,macroscopic and microcomic resource.There exist 3 means of collocation.P.E. recources must be properly developed in order that they can enjoy sustainable utilization.  用文献资料法研究高校体育资源的构成、配置方式,以及利用、开发的措施,旨在探索解决高校体育资源的稀缺性与需求的无限性这一矛盾.研究表明,高校体育资源由有形和无形、宏观与微观配置构成.配置方式有计划、市场和结合3种,为保证高校体育资源的永续利用,必须合理地予以开发.   << 更多相关文摘 
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