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math.NA2020★ 2 cited
A Proximal-Gradient Algorithm for Crystal Surface Evolution
Katy Craig, Jian-Guo Liu, Jianfeng Lu +2
As a counterpoint to recent numerical methods for crystal surface evolution, which agree well with microscopic dynamics but suffer from significant stiffness that prevents simulati…
math.NA2019
Primal dual methods for Wasserstein gradient flows
Jose A. Carrillo, Katy Craig, Li Wang +1
Combining the classical theory of optimal transport with modern operator splitting techniques, we develop a new numerical method for nonlinear, nonlocal partial differential equati…