梅立泉
- 教授
- 博士生导师
- 硕士生导师
- 性别：男
- 学历：博士研究生毕业
- 学位：博士
- 所在单位：数学与统计学院
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- 学科：数学
- 学科：数学
Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation
- 发布时间：2025-04-30
- 论文名称：Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation
- 发表刊物：Advances in Computational Mathematics
- 摘要：We consider numerical approximations for the modified phase field crystal equation in this paper. The model is a nonlinear damped wave
equation that includes both diffusive dynamics and elastic interactions. To develop easy-to-implement time-stepping schemes with unconditional energy stabilities, we adopt the “Invariant Energy Quadratization”approach. By using the first-order backward Euler, the second-order Crank–Nicolson, and the second-order BDF2 formulas, we obtain three linear and symmetric positive definite schemes. We rigorously prove their unconditional energy stabilities and implement a number of 2D and 3D numerical experiments to demonstrate the accuracy, stability, and efficiency. - 合写作者：Qi Li，Liquan Mei，Xiaofeng Yang，Yibao Li
- 卷号：45
- 页面范围：1551-1580
- 是否译文：否
- 发表时间：2019-06-01
- 合写作者：Qi Li，Liquan Mei，Xiaofeng Yang，Yibao Li