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10/14/2022
Stabilized exponential time differencing schemes for the convective Allen-Cahn equation
The convective Allen-Cahn equation has been widely used to simulate mult...
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03/11/2022
Improved uniform error bounds on time-splitting methods for the long-time dynamics of the weakly nonlinear Dirac equation
Improved uniform error bounds on time-splitting methods are rigorously p...
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11/15/2021
Convergence Analysis of A Second-order Accurate, Linear Numerical Scheme for The Landau-Lifshitz Equation with Large Damping Parameters
A second order accurate, linear numerical method is analyzed for the Lan...
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09/30/2021
Improved uniform error bounds on time-splitting methods for long-time dynamics of the nonlinear Klein–Gordon equation with weak nonlinearity
We establish improved uniform error bounds on time-splitting methods for...
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09/18/2021
Improved uniform error bounds for the time-splitting methods for the long-time dynamics of the Schrödinger/nonlinear Schrödinger equation
We establish improved uniform error bounds for the time-splitting method...
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07/02/2019
Ground states and their characterization of spin-F Bose-Einstein condensates
The computation of the ground states of spin-F Bose-Einstein condensates...
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06/25/2019