摘要
本文对线性多步法证明了Ｂ－收敛蕴含Ａ－稳定，从而Ａ－稳定等价于Ｂ－收敛。对于单支方法则Ａ－稳定、Ｇ－稳定、Ｂ－收敛三者等价。
Abstract In this paper,for linear multistep methods to nonlinear stiffinitial value problems in a Hilbert space,it is proved that B-convergence implies A-stability so that A-stability is equivalent to B-convergence.A similar result is determined for the corresponding one-leg methods.
出处
《工程数学学报》
CSCD
1995年第1期119-122,共4页
Chinese Journal of Engineering Mathematics
基金
国家自然科学基金
