论文标题
相对于度量的梯度流的高阶方案
High Order Schemes for Gradient Flow with Respect to a Metric
论文作者
论文摘要
多步，多阶段和混合方案的能量稳定性的新标准是在演变方程的背景下引入的，这些方程是相对于度量的梯度流的。这些标准用于显示第二和三阶一致的能量稳定方案，然后在几个部分微分方程上证明，这些方程是相对于2-Wasserstein度量的梯度流的。
New criteria for energy stability of multi-step, multi-stage, and mixed schemes are introduced in the context of evolution equations that arise as gradient flow with respect to a metric. These criteria are used to exhibit second and third order consistent, energy stable schemes, which are then demonstrated on several partial differential equations that arise as gradient flow with respect to the 2-Wasserstein metric.
