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01/11/2023
A semi-discrete first-order low regularity exponential integrator for the "good" Boussinesq equation without loss of regularity
In this paper, we propose a semi-discrete first-order low regularity exp...
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08/02/2022
A convexity-preserving and perimeter-decreasing parametric finite element method for the area-preserving curve shortening flow
We propose and analyze a semi-discrete parametric finite element scheme ...
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02/19/2022
Numerical study of the logarithmic Schrodinger equation with repulsive harmonic potential
We consider the Schrodinger equation with a logarithmic nonlinearity and...
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10/27/2021
Scattering and uniform in time error estimates for splitting method in NLS
We consider the nonlinear Schrödinger equation with a defocusing nonline...
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03/22/2021
Various variational approximations of quantum dynamics
We investigate variational principles for the approximation of quantum d...
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06/09/2020
Error estimates of energy regularization for the logarithmic Schrodinger equation
The logarithmic nonlinearity has been used in many partial differential ...
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01/29/2020
Uniform error bounds of a time-splitting spectral method for the long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity
We establish uniform error bounds of a time-splitting Fourier pseudospec...
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10/08/2019