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

In order to improve the accuracy of precise integration with dimension expanding method for large scale dynamic systems, the non homogeneous items were approximated by high order polynomials. To reduce the time consuming of calculation, and improve the computational efficiency, a fast algorithm was derived. A numerical example shows that by increasing the approximate order of the non-homogeneous items, the computational accuracy and efficiency can be significantly improved. The algorithm is suited to the long time computation for large scale dynamic systems.