High Order Schemes for Gradient Flow with Respect to a Metric
Journal of Computational Physics（2023）
Abstract
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.
MoreTranslated text
Key words
High order schemes,Gradient flow,Energy stability,Minimizing movements
AI Read Science
Must-Reading Tree
Example
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined