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Isomorphism among families of weighted K3 hypersurfaces
Isomorphism families weighted K3 hypersurfaces
2010/12/6
Some of the 95 families of weighted K3 hypersurfaces have been known to have the isometric lattice polarizations. It is shown that weighted K3 hyper-surfaces in such families are to one-to-one corresp...
An Iterative Joint Linear-Programming Decoding of LDPC Codes and Finite-State Channels
Iterative Joint Linear-Programming Decoding of LDPC Codes Finite-State Channels
2010/12/10
In this paper, we introduce an efficient method for the joint linear-programming (LP) decoding of low-density parity-check (LDPC) codes and finite-state channels (FSCs). In particular, we extend the a...
Pullbacks of Siegel Eisenstein Series and Weighted Averages of Critical $L$-values
Special values of L-functions pullbacks of Eisenstein series
2010/11/29
In this paper we obtain a weighted average formula for special values of L-functions attached to normalized elliptic modular forms of weight k and full level. These results are obtained by studying th...
Valid Physical Processes from Numerical Discontinuities in Computational Fluid Dynamics
Numerical Discontinuities Computational Fluid Dynamics
2010/12/10
Due to the limited cell resolution in the representation of flow variables, a piecewise continuous initial reconstruction with discontinuous jump at a cell interface is usually used in modern computat...
A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients
numerical algorithm explicit calculation Clebsch-Gordan coefficients
2010/11/29
We present an algorithm for the explicit numerical calculation of SU(N) and SL(N;C) Clebsch-Gordan coecients, based on the Gelfand-Tsetlin pattern calculus. Our algorithm is well suited for numerical...
数值代数中值得探索的几个问题
数值 代数
2009/10/24
Based upon the author's research experiences, several topics in numerical algebraare proposed in this paper. Iterative solution for huge linear systems, theory of precondition, the relationship betwee...
脉冲响应的一种有效数值解法
有效数值解法 脉冲响应
2009/10/23
Impulse response is one of the absolutely necessary data in the modern scientific fields,such as resource exploration, directional design. In this paper, a effective numrical methodis obtained by the ...
粘性项参与构造的隐式矢通量分裂格式及其数值模拟
数值模拟 隐式矢通量分裂格式 粘性项
2009/10/23
粘性项参与构造的隐式矢通量分裂格式及其数值模拟刘仪,曹琦,刘斌(西安交通大学涡轮教研室)IMPLICITFLUXVECTORSPLITTINGSCHEMESWITHVISCOUSANDNUMERICALSIMULATION¥LiuYi;CaoQi;L...
质量扩散格子Boltzmann模型及数值模拟
数值模拟 Boltzmann模型 质量扩散格子
2009/10/23
multispecies, multispeed lattice Boltzmann model is presented to study the mass diffusion properties. At each node the total momentum of all particles and the partial masses of the particles of same ...
基于多层增量未知元方法的一类三维对流扩散方程的研究
增量未知元方法 对流扩散方程 迭代方法
2009/10/21
对于一类一般形式的三维对流扩散方程, 运用有限差分方法, 在增量未知元方法(IU)下, 可以得到一个IU型正定但非对称的线性方程组.其系数矩阵条件数要远远优于不用IU方法的情形[1]. 考虑到IU方法的这一优点, 作者在文中将IU方法与几种经典的迭代方法相结合, 来求解上述系统. 作者从理论上对该系统的IU型系数矩阵条件数进行了估计, 并通过数值试验验证了这几种IU型迭代方法的有效性.
符号计算和数值计算是两种不同的解决科学和技术发展中问题的计算方法.符号计算可以得到问题精确的完备解,但是计算量大且表达形式往往十分庞大; 数值计算可以快速地处理很多实际应用中的问题,但是一般只能得到近似的局部解.特别地,数值计算处理病态问题时,收敛往往较慢且容易出错.着重介绍了符号计算和数值计算之间的密切联系,以及如何运用这两大领域的最新研究成果,探索和开发符号和数值混合计算算法和软件,使之兼备...
基于弱块对角占优矩阵与弱块H矩阵理论,利用最优尺度矩阵的方法给出了块TOR迭代法(BTOR迭代法)的收敛准则、迭代矩阵谱半径的上界估计式:若A为弱块H矩阵理论,则当α≥0,β≥0且0 <α+β<4/[1+ρ(|J (A)|]时,A的块TOR迭代法迭代矩阵谱半径满足: ρ(L^α,β,F(A))≤|1-α+β2|+α+β/2ρ(|J(A)|)。
离散元与有限元耦合的时空多尺度计算方法
计算数学 时空多尺度 离散元与有限元耦合 数值计算
2009/3/20
采用力学与动力学参数传递以及权值分配法,建立了离散元与有限元耦合的时空多尺度计算方法。弹性应力波传播算例模拟结果表明,时空多尺度计算方法具有时间与空间多尺度双重优势,有效提高了数值计算效率,并且模拟结果满足精确性要求。同时,将这一多尺度计算方法应用于激光辐照下受拉铝板破坏行为的数值模拟中,得到的模拟结果与实验结果基本一致。