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math.NA2015★ 1 cited
A class of fast geodesic shooting algorithms for template matching and its applications via the -particle system of the Euler-Poincaré equations
Roberto Camassa, Dongyang Kuang, Long Lee
The Euler-Poincaré (EP) equations describe the geodesic motion on the diffeomorphism group. For template matching (template deformation), the Euler-Lagrangian equation, arising fro…
math.NA2014★ 4 cited
Solitary waves and -particle algorithms for a class of Euler-Poincaré equations
Roberto Camassa, Dongyang Kuang, Long Lee
We study a class of partial differential equations (PDEs) in the family of the so-called Euler-Poincaré differential systems, with the aim of developing a foundation for numerical…
math.NA2014
A conservation formulation and a numerical algorithm for the double-gyre nonlinear shallow-water model
Dongyang Kuang, Long Lee
We present a conservation formulation and a numerical algorithm for the reduced-gravity shallow-water equations on a beta plane, subjected to a constant wind forcing that leads to…