53 citations · 153 across the 17 of their papers we have counts for
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math.NA2018★ 46 cited
Regularized numerical methods for the logarithmic Schrodinger equation
Weizhu Bao, Rémi Carles, Chunmei Su +1
We present and analyze two numerical methods for the logarithmic Schr{ö}dinger equation (LogSE) consisting of a regularized splitting method and a regularized conservative Crank-Ni…
math.NA2018★ 2 cited
A Lawson-type exponential integrator for the Korteweg-de Vries equation
Alexander Ostermann, Chunmei Su
We propose an explicit numerical method for the periodic Korteweg-de Vries equation. Our method is based on a Lawson-type exponential integrator for time integration and the Rusano…
math.NA2018★ 53 cited
Error estimates of a regularized finite difference method for the logarithmic Schrödinger equation
Weizhu Bao, Remi Carles, Chunmei Su +1
We present a regularized finite difference method for the logarithmic Schrödinger equation (LogSE) and establish its error bound. Due to the blow-up of the logarithmic nonlinearity…