大规模动力系统高精度増维精细积分方法快速算法

考虑高精度増维精细积分法求解大规模动力系统快速算法。为提高増维精细积分方法求解大规模动力系统精度，将非齐次项近似为高阶多项式，形成高精度増维精细积分方法；为减少计算时间、提高计算效率，提出高精度増维精细积分方法快速算法。算例表明，通过提高非齐次项近似阶数可显著提高计算精度，快速算法可使计算效率呈量级提高，高精度快速算法适合大规模动力系统长时间推进计算。

A fast algorithm for precise integration with dimension expanding method with high accuracy for large-scale dynamic systems

This article concentrate on a fast algorithm for precise integration with dimension expanding method with high accuracy for large scale dynamic structures. In order to improve the accuracy of precise integration with dimension expanding method for large scale dynamic system, the non–homogeneous items are approximated by high order polynomial. To reduce the calculation time, and improve the computational efficiency, a fast algorithm is derived. Numerical example shows that by increasing the approximate order of the non-homogeneous items the significantly improvement of accuracy is obtained, and the fast algorithm can improve the computational efficiency significantly, and the algorithm suit to the long time computation for the large scale dynamic systems.