非局部相场模型的建模与计算

11871264
2018
A0504.微分方程数值解
杨将
面上项目
副教授
南方科技大学
52万元
非局部模型;能量稳定性;Cahn-Hilliard方程;Allen-Cahn方程;相场模型
2019-01-01到2022-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 Maximum bound principle preserving integrating factor Runge–Kutta methods for semilinear parabolic equations 期刊论文 Lili Ju;Xiao Li;Zhonghua Qiao;Jiang Yang
2 Time-Fractional Allen–Cahn Equations: Analysis and Numerical Methods 期刊论文 Qiang Du;Jiang Yang;Zhi Zhou
3 ASYMPTOTIC ANALYSIS ON THE SHARP INTERFACE LIMIT OF THE TIME-FRACTIONAL CAHN–HILLIARD EQUATION 期刊论文 TAO TANG;BOYI WANG;JIANG YANG
4 Arbitrarily High Order and Fully Discrete Extrapolated RK–SAV/DG Schemes for Phase-field Gradient Flows 期刊论文 Tao Tang;Xu Wu;Jiang Yang
5 Generalization Error Analysis of Neural Networks with Gradient Based Regularization 期刊论文 Lingfeng Li;Xue-Cheng Tai;Jiang Yang
6 ARBITRARILY HIGH-ORDER EXPONENTIAL CUT-OFF METHODS FOR PRESERVING MAXIMUM PRINCIPLE OF PARABOLIC EQUATIONS 期刊论文 BUYANG LI;JIANG YANG;ZHI ZHOU
7 Energy Plus Maximum Bound Preserving Runge–Kutta Methods for the Allen–Cahn Equation 期刊论文 Zhaohui Fu;Tao Tang;Jiang Yang
8 A provably efficient monotonic-decreasing algorithm for shape optimization in Stokes flows by phase-field approaches 期刊论文 Futuan Li;Jiang Yang
9 How to Define Dissipation-Preserving Energy for Time-Fractional Phase-Field Equations 期刊论文 Chaoyu Quan;Tao Tang;Jiang Yang
10 Arbitrarily High-Order Maximum Bound Preserving Schemes with Cut-off Postprocessing for Allen–Cahn Equations 期刊论文 Jiang Yang;Zhaoming Yuan;Zhi Zhou
11 Energy-decreasing exponential time differencing Runge–Kutta methods for phase-field models 期刊论文 Zhaohui Fu;Jiang Yang
12 A Local Deep Learning Method for Solving High Order Partial Differential Equations 期刊论文 Jiang Yang;Quanhui Zhu
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