摘要
对一维非线性波动方程的数值解法进行了研究,提出了一种可达二阶精度,并保持L-稳定、A-稳定的预测-校正格式,并在此基础上提出了求解该问题的预测-校正多重网格算法(PC-MG法),加快了迭代收敛速度,大大提高了求解效率,数值实验结果证明了该方法的精确性和可靠性.
The nonlinear wave equation is explored, a linearly implicit Predictor-Corrector （PC） method which is confirmed two-order accuracy, L-stability and A-stability is proposed. A multigrid technique is employed to accelerate the convergence speed. Numerial results prove their accuracy and dependability.
出处
《北京工商大学学报（自然科学版）》
CAS
2007年第5期70-72,77,共4页
Journal of Beijing Technology and Business University:Natural Science Edition
关键词
非线性波动方程
PC-MG方法
L-稳定
A-稳定
nonlinear wave equation
predictor-corrector multigrid method
L-stability
A-stability
