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Cited article:
Hong Zhang , Xu Qian , Jun Xia , Songhe Song
ESAIM: M2AN, 57 3 (2023) 1619-1655
Published online: 2023-05-26
This article has been cited by the following article(s):
11 articles
Stability analysis of a numerical method for the 3D high-order Allen–Cahn equation
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Stabilized explicit peer methods with parallelism across the stages for stiff problems
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Quantifying and eliminating the time delay in stabilization exponential time differencing Runge–Kutta schemes for the Allen–Cahn equation
Hong Zhang, Lele Liu, Xu Qian and Songhe Song ESAIM: Mathematical Modelling and Numerical Analysis 58 (1) 191 (2024) https://doi.org/10.1051/m2an/2023101
High-order, large time-stepping integrators for scalar hyperbolic conservation laws
Lele Liu, Hong Zhang, Xu Qian and Songhe Song Communications in Nonlinear Science and Numerical Simulation 131 107806 (2024) https://doi.org/10.1016/j.cnsns.2023.107806
Stability analysis of an explicit numerical scheme for the Allen-Cahn equation with high-order polynomial potentials
Jaeyong Choi, Seokjun Ham, Soobin Kwak, Youngjin Hwang and Junseok Kim AIMS Mathematics 9 (7) 19332 (2024) https://doi.org/10.3934/math.2024941
A modified Allen–Cahn equation with a mesh size-dependent interfacial parameter on a triangular mesh
Junxiang Yang, Jian Wang, Soobin Kwak, Seokjun Ham and Junseok Kim Computer Physics Communications 304 109301 (2024) https://doi.org/10.1016/j.cpc.2024.109301
Efficient diffusion domain modeling and fast numerical methods for diblock copolymer melt in complex domains
Yan Wang, Xufeng Xiao, Hong Zhang, Xu Qian and Songhe Song Computer Physics Communications 305 109343 (2024) https://doi.org/10.1016/j.cpc.2024.109343
High-order $$L^{2}$$-bound-preserving Fourier pseudo-spectral schemes for the Allen-Cahn equation
Xueqing Teng and Hong Zhang Numerical Algorithms 97 (4) 1859 (2024) https://doi.org/10.1007/s11075-024-01772-5
On the maximum principle and high-order, delay-free integrators for the viscous Cahn–Hilliard equation
Hong Zhang, Gengen Zhang, Ziyuan Liu, Xu Qian and Songhe Song Advances in Computational Mathematics 50 (3) (2024) https://doi.org/10.1007/s10444-024-10143-6
Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation
Hong Zhang, Xu Qian and Songhe Song Numerical Algorithms 95 (3) 1213 (2024) https://doi.org/10.1007/s11075-023-01606-w
High-order unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta schemes for the nonlocal Allen-Cahn equation
Zhongxiong Gao, Hong Zhang, Xu Qian and Songhe Song Applied Numerical Mathematics 194 97 (2023) https://doi.org/10.1016/j.apnum.2023.08.010