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AN OSCILLATION-FREE DISCONTINUOUS GALERKIN METHOD FOR SCALAR HYPERBOLIC CONSERVATION LAWS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 3, 页码: 1299-1324
作者:  Lu, Jianfang;  Liu, Yong;  Shu, Chi-Wang
收藏  |  浏览/下载：131/0  |  提交时间：2021/10/26
hyperbolic conservation laws  discontinuous Galerkin  nonoscillatory  optimal error estimates  superconvergence  
A UNIFIED PROBABILISTIC DISCRETIZATION SCHEME FOR FBSDEs: STABILITY, CONSISTENCY, AND CONVERGENCE ANALYSIS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 4, 页码: 2351-2375
作者:  Yang, Jie;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：151/0  |  提交时间：2021/01/14
forward backward stochastic differential equations  numerical schemes  stability  consistency  convergence analysis  
EXPLICIT theta-SCHEMES FOR MEAN-FIELD BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 4, 页码: 2672-2697
作者:  Sun, Yabing;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：159/0  |  提交时间：2018/10/07
mean-field backward stochastic differential equation  theta-schemes  error estimates  
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：116/0  |  提交时间：2018/07/30
stochastic Langevin equation  conformal symplectic scheme  generating function  ergodicity  weak convergence  
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：86/0  |  提交时间：2018/07/30
stochastic differential equation in the Stratonovich sense  conserved quantity  discrete gradient  splitting technique  mean-square convergence  
A SADDLE POINT APPROACH TO THE COMPUTATION OF HARMONIC MAPS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2009, 卷号: 47, 期号: 2, 页码: 1500-1523
作者:  Hu, Qiya;  Tai, Xue-Cheng;  Winther, Ragnar
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
harmonic maps  nonlinear constraints  saddle point problems  error estimates  
The l(1)-error estimates for a Hamiltonian-preserving scheme for the Liouville equation with piecewise constant potentials 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 卷号: 46, 期号: 5, 页码: 2688-2714
作者:  Wen, Xin;  Jin, Shi
收藏  |  浏览/下载：95/0  |  提交时间：2018/07/30
Liouville equations  Hamiltonian preserving schemes  piecewise constant potentials  error estimate  half order error bound  semiclassical limit  
Three-scale finite element discretizations for quantum eigenvalue problems 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 卷号: 46, 期号: 1, 页码: 295-324
作者:  Dai, Xiaoying;  Zhou, Aihui
收藏  |  浏览/下载：108/0  |  提交时间：2018/07/30
eigenvalue  finite element  ground state energy  local computation  three-scale  quantum chemistry  
A Hamiltonian-preserving scheme for the Liouville equation of geometrical optics with partial transmissions and reflections 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2006, 卷号: 44, 期号: 5, 页码: 1801-1828
作者:  Jin, Shi;  Wen, Xin
收藏  |  浏览/下载：71/0  |  提交时间：2018/07/30
geometrical optics  Liouville equation  transmission and reflection  Hamiltonian-preserving schemes  
Asymptotic expansions and Richardson extrapolation of approximate solutions for second order elliptic problems on rectangular domains by mixed finite element methods 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2006, 卷号: 44, 期号: 3, 页码: 1122-1149
作者:  Fairweather, Graeme;  Lin, Qun;  Lin, Yanping;  Wang, Junping;  Zhang, Shuhua
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
second order elliptic problems  mixed finite element methods  asymptotic expansions  interpolation postprocessing  a posteriori error estimators