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A FOURTH-ORDER UNFITTED CHARACTERISTIC FINITE ELEMENT METHOD FOR SOLVING THE ADVECTION-DIFFUSION EQUATION ON TIME-VARYING DOMAINS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 4, 页码: 2203-2224
作者:  Ma, Chuwen;  Zhang, Qinghai;  Zheng, Weiying
收藏  |  浏览/下载：101/0  |  提交时间：2023/02/07
   unfitted characteristic finite element methods  time-varying domains  moving boundary problems  the advection-diffusion equation  fourth-order error estimates  
STOCHASTIC CONVERGENCE OF REGULARIZED SOLUTIONS AND THEIR FINITE ELEMENT APPROXIMATIONS TO INVERSE SOURCE PROBLEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 2, 页码: 751-780
作者:  CHEN, Z. H. I. M. I. N. G.;  ZHANG, W. E. N. L. O. N. G.;  ZOU, J. U. N.
收藏  |  浏览/下载：94/0  |  提交时间：2023/02/07
inverse source problems  regularization  finite element approximation  stochastic error estimates  
ASYMPTOTICALLY-PRESERVING LARGE DEVIATIONS PRINCIPLES BY STOCHASTIC SYMPLECTIC METHODS FOR A LINEAR STOCHASTIC OSCILLATOR 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 1, 页码: 32-59
作者:  Chen, Chuchu;  Hong, Jialing;  Jin, Diancong;  Sun, Liying
收藏  |  浏览/下载：164/0  |  提交时间：2021/04/26
stochastic symplectic methods  superiority  large deviations principle  rate function  asymptotical preservation  
SYMPLECTIC DISCONTINUOUS GALERKIN FULL DISCRETIZATION FOR STOCHASTIC MAXWELL EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 4, 页码: 2197-2217
作者:  Chen, Chuchu
收藏  |  浏览/下载：115/0  |  提交时间：2022/04/02
stochastic Maxwell equations  symplectic dG full discretization  mean-square convergence  
CONVERGENCE ANALYSIS OF THE PML METHOD FOR TIME-DOMAIN ELECTROMAGNETIC SCATTERING PROBLEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 3, 页码: 1918-1940
作者:  Wei, Changkun;  Yang, Jiaqing;  Zhang, Bo
收藏  |  浏览/下载：170/0  |  提交时间：2020/09/23
well-posedness  stability  time-domain electromagnetic scattering  PML  exponential convergence  
ON ENERGY STABLE, MAXIMUM-PRINCIPLE PRESERVING, SECOND-ORDER BDF SCHEME WITH VARIABLE STEPS FOR THE ALLEN-CAHN EQUATION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 4, 页码: 2294-2314
作者:  Liao, Hong-lin;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载：126/0  |  提交时间：2021/01/14
Allen-Cahn equation  nonuniform BDF2 scheme  energy stability  discrete maximum principle  convergence analysis  
RUNGE-KUTTA SEMIDISCRETIZATIONS FOR STOCHASTIC MAXWELL EQUATIONS WITH ADDITIVE NOISE 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 2, 页码: 702-727
作者:  Chen, Chuchu;  Hong, Jialin;  Ji, Lihai
收藏  |  浏览/下载：174/0  |  提交时间：2020/01/10
stochastic Maxwell equations  stochastic Runge-Kutta semidiscretization  stochastic symplecticity  mean-square convergence order  
ANALYSIS OF A SPLITTING SCHEME FOR DAMPED STOCHASTIC NONLINEAR SCHRODINGER EQUATION WITH MULTIPLICATIVE NOISE 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 4, 页码: 2045-2069
作者:  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载：153/0  |  提交时间：2018/10/07
damped stochastic nonlinear Schrodinger equation  exponential integrability  strong order  weak order  Kolmogorov equation  
A CRANK-NICOLSON FINITE ELEMENT METHOD AND THE OPTIMAL ERROR ESTIMATES FOR THE MODIFIED TIME-DEPENDENT MAXWELL-SCHRODINGER EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 1, 页码: 369-396
作者:  Ma, Chupeng;  Cao, Liqun
收藏  |  浏览/下载：160/0  |  提交时间：2018/07/30
Maxwell-Schrodinger equations  finite element method  Crank-Nicolson scheme  optimal error estimate  
HIGH ORDER CONFORMAL SYMPLECTIC AND ERGODIC SCHEMES FOR THE STOCHASTIC LANGEVIN EQUATION VIA GENERATING FUNCTIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 卷号: 55, 期号: 6, 页码: 3006-3029
作者:  Hong, Jialin;  Sun, Liying;  Wang, Xu
收藏  |  浏览/下载：120/0  |  提交时间：2018/07/30
stochastic Langevin equation  conformal symplectic scheme  generating function  ergodicity  weak convergence