排序方式: 共有17条查询结果,搜索用时 31 毫秒
1.
The present paper offers two likely neglected applications of the classical Lagrange expansion formula.One is a unified approach to some age-old derivative identities originally due to Pfaff and Cauchy.Another is two explicit matrix inversions which may serve as common generalizations of some known inverse series relations. 相似文献
2.
间断Galerkin有限元方法非常适合在非结构网格上高精度求解Navier-Stokes方程,然而其十分耗费计算资源.为了提高计算效率,提出了高效的MIMD并行算法.采用隐式时间离散GMRES+LU SGS格式,结合多重网格方法,当地时间步长加速算法收敛.为了保证各处理器间负载平衡,采用区域分解二级图方法划分网格,实现内存合理分配,数据只在相邻处理器间传递.数值模拟了RAE2822翼型和M6黏性绕流,加速比基本呈线性变化且接近理想值.结果表明了该算法能有效减少计算时间、合理分配内存,具有较高的加速比和并行效率,适合于MIMD粗粒度科学计算. 相似文献
3.
Riordan群的反演链及在组合和中的应用 总被引:1,自引:0,他引:1
利用函数复合关系,本文在Riordan群中引入Riordan反演链的概念及其Rior-dan反演链存在的充要条件,给出计算组合和式的递推方法.进一步讨论了二项式系数所对应的Riordan反演链问题,建立了一个Riordan求和公式,该式蕴含了某些与Fibonacci数相关的恒等式在内的一系列组合恒等式 相似文献
4.
5.
6.
This paper provides a pair of summation formulas for a kind of combinatorial series involvingak+b m as a factor of the summand. The construction of formulas is based on a certain series transformation formula [2, 7, 9] and by making use of the C-numbers [3]. Various consequences and examples including several remarkable classic identities are presented to illustrate some applications of the formulas obtained. 相似文献
7.
8.
Recently, basing on a suitable application of Milne-Bhatnagar's characterization theorem about matrix inversions, we have found that Warnaar's elliptic matrix inversion can be further extended to the following general inversion theorem. 相似文献
9.
为了提出研究Lagrange反演关系的统一方法,Krattenthaler建立了算子方法,并由此得到一个广泛的反演关系:Gould-Hsu-Carliz-Krattenthaler反演公式.本文利用Lagrange插值公式给出它的一个简短证明,进一步地证明在Lagrange插值的意义下,该反演关系是唯一性的. 相似文献
10.
This paper is devoted to the counting of j-chains of lattice-point poset. The incidence function and two basic enumerators associated with it are introduced and evaluated. Our results contain a lot of combinatorial sums. 相似文献