含参数常微分方程边值问题的改进COLSYS算法

对常微分方程求解器ＣＯＬＳＹＳ的算法进行了分析、研究和改进，使其能够对参数方程和常微分方程的联立体系直接求解，一方面，免除了目前不得不采用的平凡常微分方程技巧所带来的大量不必要的计算，提高了效率；另一方面，由于减小了问题的规模，使条件数降低，从而改进了数值稳定性和精度。

Improved COLSYS algorithm for ODE BVP with unknown parameters

The algorithm in ODE solver COLSYS is re examined, modified and improved to incorporate the direct solution of coupled systems of ODEs with unknown parameters. On the one hand, the commonly used trivial ODE technique that has to be used so far becomes unnecessary and a large amount of computation can be saved. On the other hand, the numerical stability and hence the accuracy can be improved due to a smaller size of resulting equations.