论文标题
应用于梯度流的BDF3方案的最大时间步骤
Maximum time step for the BDF3 scheme applied to gradient flows
论文作者
论文摘要
对于应用于半弹力函数梯度流的向后分化公式（BDF），二次稳定性意味着Lyapunov功能的存在。我们计算了可以从3步BDF方法（BDF3）的二次稳定性得出的最大时间步骤。给出了BDF3方案产生的序列的渐近行为的应用。
For backward differentiation formulae (BDF) applied to gradient flows of semiconvex functions, quadratic stability implies the existence of a Lyapunov functional. We compute the maximum time step which can be derived from quadratic stability for the 3-step BDF method (BDF3). Applications to the asymptotic behaviour of sequences generated by the BDF3 scheme are given.
