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Numerical computation of probabilities for nonlinear SDEs in high dimension using Kolmogorov equation br 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2023, 卷号: 436, 页码: 17
作者:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
收藏  |  浏览/下载：115/0  |  提交时间：2023/02/07
High dimensional Kolmogorov equation  Numerical solution  Iteration scheme  Gaussian process  
Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2022, 卷号: 12, 期号: 4, 页码: 891-911
作者:  Zhang, Wensheng;  Joardar, Atish Kumar
收藏  |  浏览/下载：112/0  |  提交时间：2023/02/07
Stability  poroelastic wave equation  energy method  high-order scheme  wave simulation  
A Lowest-Degree Conservative Finite Element Scheme for Incompressible Stokes Problems on General Triangulations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 93, 期号: 1, 页码: 31
作者:  Liu, Wenjia;  Zhang, Shuo
收藏  |  浏览/下载：77/0  |  提交时间：2023/02/07
Incompressible stokes equations  Inf-sup condition  Conservative scheme  Pressure-robust discretization  Lowest degree  
Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2022, 卷号: 179, 页码: 183-190
作者:  Chen, Hu;  Chen, Mengyi;  Sun, Tao;  Tang, Yifa
收藏  |  浏览/下载：140/0  |  提交时间：2023/02/07
L1 scheme  Time-fractional KdV equation  Local error estimate  Weakly singular solution  
Accelerated exponential Euler scheme for stochastic heat equation: convergence rate of the density 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 页码: 40
作者:  Chen, Chuchu;  Cui, Jianbo;  Hong, Jialin;  Sheng, Derui
收藏  |  浏览/下载：143/0  |  提交时间：2022/06/21
density  convergence order  accelerated exponential Euler scheme  stochastic heat equation  Malliavin calculus  
Layer-Splitting Methods for Time-Dependent Schrodinger Equations of Incommensurate Systems 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 30, 期号: 5, 页码: 1474-1498
作者:  Wang, Ting;  Chen, Huajie;  Zhou, Aihui;  Zhou, Yuzhi
收藏  |  浏览/下载：162/0  |  提交时间：2022/04/02
Incommensurate system  time-dependent Schrodinger equation  time stepping scheme  
Analysis of a Galerkin finite element method for the Maxwell-Schrodinger system under temporal gauge 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 页码: 23
作者:  Ma, Chupeng;  Zhang, Yongwei;  Cao, Liqun
收藏  |  浏览/下载：141/0  |  提交时间：2022/06/21
error estimates  Galerkin finite element methods  time stepping scheme  Maxwell-Schrodinger  
A simple FORCE-type centred scheme accurate for contact discontinuities: Application to compressible Euler flows 期刊论文
COMPUTERS & FLUIDS, 2021, 卷号: 227, 页码: 16
作者:  Hu, Lijun;  Yuan, Li
收藏  |  浏览/下载：159/0  |  提交时间：2021/10/26
Euler equations  Centred schemes  FORCE scheme  Contact discontinuity  Carbuncle phenomenon  Boundary variation diminishing  
An optimal piecewise cubic nonconforming finite element scheme for the planar biharmonic equation on general triangulations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 页码: 24
作者:  Zhang, Shuo
收藏  |  浏览/下载：172/0  |  提交时间：2021/10/26
biharmonic equation  optimal cubic finite element scheme  general triangulation  discretized Stokes complex  discrete strengthened Miranda-Talenti estimate  
Numerical Schemes for Time-Space Fractional Vibration Equations 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2021, 卷号: 13, 期号: 4, 页码: 806-826
作者:  Zhang, Jingna;  Aleroev, Temirkhan S.;  Tang, Yifa;  Huang, Jianfei
收藏  |  浏览/下载：200/0  |  提交时间：2021/06/01
Time-space fractional vibration equations  ADI scheme  stability  convergence