梅立泉
- 教授
- Supervisor of Doctorate Candidates
- Supervisor of Master's Candidates
- E-Mail:
- Date of Employment:1997-07-01
- Education Level:With Certificate of Graduation for Doctorate Study
- Professional Title:教授
- Status:Employed
- Alma Mater:西安交通大学
- College:School Of Mathematics And Statistics
- Discipline:Mathematics
- Papers
Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation
Release Time:2025-04-30 Hits:
- Date:2025-04-30
- Title of Paper:Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation
- Journal:Advances in Computational Mathematics
- Summary: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. - Co-author:Qi Li，Liquan Mei，Xiaofeng Yang，Yibao Li
- Volume:45
- Page Number:1551-1580
- Translation or Not:No
- Date of Publication:2019-06-01