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math.NA2023
Error estimates of invariant-preserving difference schemes for the rotation-two-component Camassa--Holm system with small energy
Qifeng Zhang, Jiyuan Zhang, Zhimin Zhang
A rotation-two-component Camassa-Holm (R2CH) system was proposed recently to describe the motion of shallow water waves under the influence of gravity. This is a highly nonlinear a…
math.NA2022
Optimal convergence rate of the explicit Euler method for convection-diffusion equations II: high dimensional cases
Qifeng Zhang, Jiyuan Zhang, Zhi-zhong Sun
This is the second part of study on the optimal convergence rate of the explicit Euler discretization in time for the convection-diffusion equations [Appl. Math. Lett. \textbf{131}…