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20192026
most citedLong time error analysis of finite difference time domain methods for the nonlinear Klein-Gordon equation with weak nonlinearity

33 citations · 59 across the 19 of their papers we have counts for

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math.NA2019

A High order Conservative Flux Optimization Finite Element Method for Diffusion Equations

Yujie Liu, Yue Feng, Ran Zhang

This article presents a high order conservative flux optimization (CFO) finite element method for the elliptic diffusion equations. The numerical scheme is based on the classical G…

math.NA2019★ 33 cited

Long time error analysis of finite difference time domain methods for the nonlinear Klein-Gordon equation with weak nonlinearity

Weizhu Bao, Yue Feng, Wenfan Yi

We establish error bounds of the finite difference time domain (FDTD) methods for the long time dynamics of the nonlinear Klein-Gordon equation (NKGE) with a cubic nonlinearity, wh…