In this paper two classes of equivalence transform methods for solving ordinary differential equations are proposed. One class of method is the equivalence integral transform method for special differential algebraic ...In this paper two classes of equivalence transform methods for solving ordinary differential equations are proposed. One class of method is the equivalence integral transform method for special differential algebraic problems. The advantage of this class of method is such that the amount of work calculating one integration with parameters becomes that of two interpolations, when the system of nonlinear equations is solved on the right hand side function. The other class of method is the equivalence substitution method for avoiding calculating derivative on the right hand side function. In order to avoid calculation derivatives, two equivalence substitution methods are proposed here. The application instances of some special effect of the equivalence substitution methods are given.展开更多
间断有限元算法(Discontinuous Galerkin Finite Element Method,DGM)是一种高精度的数值求解算法,针对电磁工程应用中DGM并行计算效率低、计算量较大的问题,提出了基于SW26010平台的并行DGM算法。通过区域分解、数据结构重构、热点函...间断有限元算法(Discontinuous Galerkin Finite Element Method,DGM)是一种高精度的数值求解算法,针对电磁工程应用中DGM并行计算效率低、计算量较大的问题,提出了基于SW26010平台的并行DGM算法。通过区域分解、数据结构重构、热点函数从核并行计算、计算与通信重叠及从核缓冲优化技术完成了DGM算法的并行优化。实现结果表明,与基于MPI进程级的DGM并行算法相比,可以获得46.8的平均加速比。展开更多
基金The project was supported by the National Natural Science Faundation of China
文摘In this paper two classes of equivalence transform methods for solving ordinary differential equations are proposed. One class of method is the equivalence integral transform method for special differential algebraic problems. The advantage of this class of method is such that the amount of work calculating one integration with parameters becomes that of two interpolations, when the system of nonlinear equations is solved on the right hand side function. The other class of method is the equivalence substitution method for avoiding calculating derivative on the right hand side function. In order to avoid calculation derivatives, two equivalence substitution methods are proposed here. The application instances of some special effect of the equivalence substitution methods are given.
文摘间断有限元算法(Discontinuous Galerkin Finite Element Method,DGM)是一种高精度的数值求解算法,针对电磁工程应用中DGM并行计算效率低、计算量较大的问题,提出了基于SW26010平台的并行DGM算法。通过区域分解、数据结构重构、热点函数从核并行计算、计算与通信重叠及从核缓冲优化技术完成了DGM算法的并行优化。实现结果表明,与基于MPI进程级的DGM并行算法相比,可以获得46.8的平均加速比。
