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highorder
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     high vvearability.
     耐磨性高.
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     the value of E was high;
     反应活化能较高;
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     On Order
     秩序微言
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     On Order
     论秩序
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     Order
     订单
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  highorder
High order one-step A-stable exponentially fitted methods
      
A layer of surface singularities, whose intensity is found by solving a system of linear algebraic equations of very high order, is distributed continuously over each element.
      
In some cases, the functional equations can be localized and reduced to differential equations of fairly high order.
      
It is assumed that the coefficient of the time derivative has a zero of sufficiently high order on the hyperplane t=0; as a consequence, the Cauchy problem will be unsolvable.
      
Assuming that the coefficient of the time derivative has a zero of a sufficiently high order at t=0, we find the sufficient conditions to ensure the correctness of certain boundary value problems.
      
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A new optimization algorithm is presented. This algorithm using highorder approximation for the objective function requires nether derivative calculation nor linear search, and has high convergent rate. It has been incorporated into ADIC-2,an analysis and designprogram for general curpose circuits. Its high efficiency is illustrated by some numerical andcircuit design examples.

本文提出了一个新的最优化算法,它对目标函数采用高阶近似,不需要计算导数,也不需要进行一维搜索,且收敛速度较快。该算法已用于通用电路分析和设计程序ADIC-2,数值计算及电路设计的例子表明该算法是十分有效的。

In the finite element analysis,extension elements have been constructed,and with the nodes'information in extension element we may set a highorder interpolated function so as to improve the accuracy of the finite ele-ment analysis.This technqiue is called the extention finite element analysis.

本文在有限元分析过程中,构造了延拓单元,利用延拓单元内信息迫使单元内位移模式高次化。从而,在无需增加单元网格及结点数目的条件下,改善有限元分析精度。

Using the method of the element order in matrices, high order approximate LU decompositions are used as the preconditioners for the computation of different experiments. Highorder approximate inverses are also adopted for the approximate block LU decomposition in the computation of the block-PCG for same experiments. The results show that the point -PCG of order P has a higher convergence rate than the block-PCG of order P when P = 2.3,…, 6. The total computational cost of the point-PCG is less than the...

Using the method of the element order in matrices, high order approximate LU decompositions are used as the preconditioners for the computation of different experiments. Highorder approximate inverses are also adopted for the approximate block LU decomposition in the computation of the block-PCG for same experiments. The results show that the point -PCG of order P has a higher convergence rate than the block-PCG of order P when P = 2.3,…, 6. The total computational cost of the point-PCG is less than the block-PCG of the same order. This illustates that the point-PCG of the P-order approximate LU decomposition is more efficient than the block -PCG of the P -order approximate inverse when the order P varies in the scope considered.

本文用高阶近似LU分解作预处理阵,对不同算例作点PCG数值计算,同时也用高阶近似求逆法作块近似LU分解,对同样算例作块PCG数值计算。结果表明点PCG在绝大部分算例中具有比同阶的块PCG较高的收敛速率,其因子分解计算量加上迭代求解计算量小于同阶块PCG的计算量,从而论证了当阶相同时,P阶近似LU分解的点PCG法比P阶近似逆阵的块PCG法计算效率高。

 
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