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Data-driven polynomial chaos expansions: A weighted least-square approximation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 381, 页码: 129-145
作者:  Guo, Ling;  Liu, Yongle;  Zhou, Tao
收藏  |  浏览/下载：179/0  |  提交时间：2019/03/11
Uncertainty quantification  Data-driven polynomial chaos expansions  Weighted least-squares  Equilibrium measure  
Degasperis-Procesi peakon dynamical system and finite Toda lattice of CKP type 期刊论文
NONLINEARITY, 2018, 卷号: 31, 期号: 10, 页码: 4746-4775
作者:  Chang, Xiang-Ke;  Hu, Xing-Biao;  Li, Shi-Hao
收藏  |  浏览/下载：112/0  |  提交时间：2018/10/07
Degasperis-Procesi equation  multipeakons  Toda lattice of CKP type  
Degasperis-Procesi peakon dynamical system and finite Toda lattice of CKP type 期刊论文
NONLINEARITY, 2018, 卷号: 31, 期号: 10, 页码: 4746-4775
作者:  Chang, Xiang-Ke;  Hu, Xing-Biao;  Li, Shi-Hao
收藏  |  浏览/下载：115/0  |  提交时间：2018/10/07
Degasperis-Procesi equation  multipeakons  Toda lattice of CKP type  
Strong convergence rate of finite difference approximations for stochastic cubic Schrodinger equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 卷号: 263, 期号: 7, 页码: 3687-3713
作者:  Cui, Jianbo;  Hong, Jialin;  Liu, Zhihui
收藏  |  浏览/下载：131/0  |  提交时间：2018/07/30
Stochastic cubic Schrodinger equation  Strong convergence rate  Central difference scheme  Exponential integrability  Continuous dependence  
A Maximum Entropy Method Based on Piecewise Linear Functions for the Recovery of a Stationary Density of Interval Mappings 期刊论文
JOURNAL OF STATISTICAL PHYSICS, 2011, 卷号: 145, 期号: 6, 页码: 1620-1639
作者:  Ding, Jiu;  Jin, Congming;  Rhee, Noah H.;  Zhou, Aihui
收藏  |  浏览/下载：111/0  |  提交时间：2018/07/30
Frobenius-Perron operator  Stationary density  Maximum entropy  Piecewise linear approximations  
DISCRETE GRADIENT APPROACH TO STOCHASTIC DIFFERENTIAL EQUATIONS WITH A CONSERVED QUANTITY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2011, 卷号: 49, 期号: 5, 页码: 2017-2038
作者:  Hong, Jialin;  Zhai, Shuxing;  Zhang, Jingjing
收藏  |  浏览/下载：85/0  |  提交时间：2018/07/30
stochastic differential equation in the Stratonovich sense  conserved quantity  discrete gradient  splitting technique  mean-square convergence