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High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation

Ruihan Guo, Liangyue Ji, Yan Xu

2018-08-22

41159 3011 Pages:135-158
Stability Analysis for Maximum Principle Preserving Explicit Isotropic Schemes of the Allen-Cahn Equation

Jyoti, Seokjun Ham, Soobin Kwak, Youngjin Hwang, Seungyoon Kang, Junseok Kim

2025-06-06

267 224
Variable Step-Size BDF3 Method for Allen-Cahn Equation

Minghua Chen, Fan Yu, Qingdong Zhang, Zhimin Zhang

2024-07-18

24368 1736 Pages:1380-1406
The Global Dufort-Frankel Difference Approximation for Nonlinear Reaction-Diffusion Equations

Bainian Lu, Guohua Wan, Bolin Guo

1998-06-02

32384 3479 Pages:275-288
Space-Time Continuous and Time Discontinuous Galerkin Schemes Based on Isogeometric Analysis for Nonlinear Time-Fractional Partial Differential Equations

Ang Ge, Jinye Shen, Lijun Yi

2024-11-18

11497 1252 Pages:89-120
Numerical Analysis of Crank-Nicolson Scheme for the Allen-Cahn Equation

Qianqian Chu, Guanghui Jin, Jihong Shen, Yuanfeng Jin

2021-10-15

42144 3159 Pages:655-665
Numerical Ergodicity and Uniform Estimate of Monotone SPDEs Driven by Multiplicative Noise

Zhihui Liu

2026-02-15

2276 161 Pages:84-102
Decoupled, Energy Stable Scheme for Hydrodynamic Allen-Cahn Phase Field Moving Contact Line Model

Rui Chen, Xiaofeng Yang, Hui Zhang

2018-09-17

39926 2955 Pages:661-681
Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle

Tao Tang, Jiang Yang

2018-08-22

42676 3027 Pages:451-461
A Variational Analysis for the Moving Finite Element Method for Gradient Flows

Xianmin Xu

2022-11-15

300679 3179 Pages:191-210
Stability Analysis and Application of the Exponential Time Differencing Schemes

Qiang Du, Wenxiang Zhu

2004-04-02

33362 4365 Pages:200-209
Numerical Energy Dissipation for Time-Fractional Phase-Field Equations

Chaoyu Quan, Tao Tang, Jiang Yang

2024-11-21

19975 1713 Pages:515-539

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