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Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen-Cahn equation 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 2096-2134
作者:  Brehier, Charles-Edouard;  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载：169/0  |  提交时间：2020/01/10
stochastic Allen-Cahn equation  splitting scheme  strong convergence rate  exponential integrability  
Explicit Deferred Correction Methods for Second-Order Forward Backward Stochastic Differential Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 79, 期号: 3, 页码: 1409-1432
作者:  Yang, Jie;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：162/0  |  提交时间：2020/01/10
Deferred correction method  Second-order forward backward stochastic differential equations  Euler scheme  High-order rate of convergence  
Conservative explicit local time-stepping schemes for the shallow water equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 382, 页码: 152-176
作者:  Hoang, Thi-Thao-Phuong;  Leng, Wei;  Ju, Lili;  Wang, Zhu;  Pieper, Konstantin
收藏  |  浏览/下载：166/0  |  提交时间：2019/04/02
Shallow water equations  Local time-stepping  Strong stability preserving Runge-Kutta  Finite volume  Mass conservation  Potential vorticity  
MEAN-SQUARE CONVERGENCE OF A SEMIDISCRETE SCHEME FOR STOCHASTIC MAXWELL EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 2, 页码: 728-750
作者:  Chen, Chuchu;  Hong, Jialin;  Ji, Lihai
收藏  |  浏览/下载：151/0  |  提交时间：2020/01/10
mean-square convergence order  semidiscrete scheme  stochastic Maxwell equations  regularity  
Moment modification, multipeakons, and nonisospectral generalizations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 卷号: 265, 期号: 9, 页码: 3858-3887
作者:  Chang, Xiang-Ke;  Hu, Xing-Biao;  Li, Shi-Hao
收藏  |  浏览/下载：109/0  |  提交时间：2018/10/07
Moment modification  Nonisospectral Camassa-Holm type equation  Peakon solutions  
Moment modification, multipeakons, and nonisospectral generalizations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 卷号: 265, 期号: 9, 页码: 3858-3887
作者:  Chang, Xiang-Ke;  Hu, Xing-Biao;  Li, Shi-Hao
收藏  |  浏览/下载：114/0  |  提交时间：2018/10/07
Moment modification  Nonisospectral Camassa-Holm type equation  Peakon solutions  
A Positivity-Preserving Finite Volume Scheme for Heat Conduction Equation on Generalized Polyhedral Meshes 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 卷号: 24, 期号: 5, 页码: 1375-1408
作者:  Xie, Hui;  Xu, Xuejun;  Zhai, Chuanlei;  Yong, Heng
收藏  |  浏览/下载：168/0  |  提交时间：2019/03/05
Heat conduction  anisotropic diffusion tensor  distorted mesh  positivity-preserving  cell-centered scheme  vertex elimination  
The dynamics of conservative peakons in a family of U(1)-invariant integrable equations of NLS-Hirota type 期刊论文
STUDIES IN APPLIED MATHEMATICS, 2018, 卷号: 141, 期号: 4, 页码: 680-713
作者:  Anco, Stephen C.;  Chang, Xiangke;  Szmigielski, Jacek
收藏  |  浏览/下载：144/0  |  提交时间：2019/01/11
inverse problems  Pade approximations  peakons  tri-Hamiltonian  weak solutions  
A Multiscale Algorithm for Heat Conduction-Radiation Problems in Porous Materials with Quasi-Periodic Structures 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 卷号: 24, 期号: 1, 页码: 204-233
作者:  Yang, Zhiqiang;  Sun, Yi;  Cui, Junzhi;  Li, Xiao
收藏  |  浏览/下载：161/0  |  提交时间：2019/03/05
Multiscale asymptotic analysis  radiation boundary condition  quasi-periodic structures  nonlinear heat transfer problems  
A semi-discrete modified KdV equation 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2018, 卷号: 59, 期号: 4, 页码: 12
作者:  Sun, Jianqing;  Hu, Xingbiao;  Zhang, Yingnan
收藏  |  浏览/下载：127/0  |  提交时间：2018/07/30