AI RESEARCH
JKO for Landau: a variational particle method for homogeneous Landau equation
arXiv CS.LG
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ArXi:2409.12296v3 Announce Type: replace-cross Inspired by the gradient flow viewpoint of the Landau equation and the corresponding dynamic formulation of the Landau metric in [arXi:2007.08591], we develop a novel implicit particle method for the Landau equation in the framework of the JKO scheme. We first reformulate the Landau metric in a computationally friendly form, and then translate it into the Lagrangian viewpoint using the flow map.