Based on variable step size algorithm, the thesis presents an investigation and studies of three different methods of handling discontinuities: detecting and handling discontinuities, average and polishing method.

• 本文针对刚性系统的变阶变步长算法，分别采用了条件函数搜索法、平均值法、磨光法三种间断方法对间断函数进行了处理。