4 citations · 13 across the 13 of their papers we have counts for
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Analysis and development of compact finite difference schemes with optimized numerical dispersion relations
Yi-Hung Kuo, Long Lee, Gregory Lyng
Finite difference approximation, in addition to Taylor truncation errors, introduces numerical dispersion-and-dissipation errors into numerical solutions of partial differential eq…
A connection between the shallow-water equations and the Euler-Poincaré equations
Roberto Camassa, Long Lee
The Euler-Poincaré differential (EPDiff) equations and the shallow water (SW) equations share similar wave characteristics. Using the Hamiltonian structure of the SW equations with…
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…
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…