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A fast Euler-Maruyama method for fractional stochastic differential equations 期刊论文
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 页码: 19
作者:  Zhang, Jingna;  Tang, Yifa;  Huang, Jianfei
收藏  |  浏览/下载：62/0  |  提交时间：2023/02/07
Fractional stochastic differential equations  Euler-Maruyama method  Sum-of-exponentials approximation  Strong convergence  Computational efficiency  
Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 451, 页码: 20
作者:  Hong, Jialin;  Hou, Baohui;  Sun, Liying
收藏  |  浏览/下载：124/0  |  提交时间：2022/04/29
Compact finite difference method  Interior penalty discontinuous Galerkin finite element method  Pade approximation  Averaged energy evolution law  Stochastic wave equation  Multiplicative noise  
Order reduction-based uniform approximation of exponential stability for one-dimensional Schrodinger equation 期刊论文
SYSTEMS & CONTROL LETTERS, 2022, 卷号: 160, 页码: 9
作者:  Liu, Jiankang;  Hao, Ruiqi;  Guo, Bao-Zhu
收藏  |  浏览/下载：101/0  |  提交时间：2022/06/21
Schrodinger equation  Exponential stability  Uniform approximation  Order reduction method  
Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 5, 页码: 1365-1384
作者:  Liao, Yulei;  Ming, Pingbing
收藏  |  浏览/下载：154/0  |  提交时间：2021/06/01
Deep Nitsche Method  Deep Ritz Method  neural network approximation  mixed boundary conditions  curse of dimensionality  
Spectral Method for Phase Retrieval: An Expectation Propagation Perspective 期刊论文
IEEE TRANSACTIONS ON INFORMATION THEORY, 2021, 卷号: 67, 期号: 2, 页码: 1332-1355
作者:  Ma, Junjie;  Dudeja, Rishabh;  Xu, Ji;  Maleki, Arian;  Wang, Xiaodong
收藏  |  浏览/下载：159/0  |  提交时间：2021/04/26
Phase measurement  Message passing  Tools  Signal processing algorithms  Prediction algorithms  Numerical models  Approximation algorithms  Phase retrieval  spectral method  coded diffraction pattern  expectation propagation (EP)  approximate message passing (AMP)  state evolution  orthogonal AMP  vector AMP  
Model reduction-based initialization methods for solving the Poisson-Nernst-Plank equations in three-dimensional ion channel simulations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 419, 页码: 18
作者:  Zhang, Qianru;  Gui, Sheng;  Li, Hongliang;  Lu, Benzhuo
收藏  |  浏览/下载：150/0  |  提交时间：2021/04/26
Reduced model  Poisson-Nernst-Planck  Smoluchowski-Poisson-Boltzmann  Initialization  Linear approximation of PNP model  Finite element method  
Space-time finite element method for the distributed-order time fractional reaction diffusion equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2020, 卷号: 152, 页码: 446-465
作者:  Bu, Weiping;  Ji, Lun;  Tang, Yifa;  Zhou, Jie
收藏  |  浏览/下载：134/0  |  提交时间：2020/05/24
Distributed-order reaction diffusion equation  Space-time finite element method  Graded time mesh  Well-posedness  Error estimate  Sum-of-exponentials approximation  
Normal approximation by Stein's method under sublinear expectations 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 卷号: 130, 期号: 5, 页码: 2838-2850
作者:  Song, Yongsheng
收藏  |  浏览/下载：165/0  |  提交时间：2020/06/30
Stein's method  Normal approximation  Sublinear expectation  G-normal distribution  
A novel semi-discrete scheme preserving uniformly exponential stability for an Euler-Bernoulli beam 期刊论文
SYSTEMS & CONTROL LETTERS, 2019, 卷号: 134, 页码: 10
作者:  Liu, Jiankang;  Guo, Bao-Zhu
收藏  |  浏览/下载：134/0  |  提交时间：2020/05/24
Beam equation  Finite volume method  Finite difference method  Exponential stability  Uniform approximation  
Second-Order Asymptotic Analysis and Computations of Axially and Spherically Symmetric Piezoelectric Problems for Composite Structures 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 2, 页码: 689-731
作者:  Ma, Qiang;  Wang, Hao;  Yang, Zhiqiang;  Li, Zhihui;  Cui, Junzhi
收藏  |  浏览/下载：159/0  |  提交时间：2020/05/24
Axially and spherically symmetric piezoelectricity  Periodic composite materials  Multi-scale expansion homogenization method  Second-order asymptotic approximation  Finite element simulation