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ON THE CONVERGENCE TO LOCAL LIMIT OF NONLOCAL MODELS WITH APPROXIMATED INTERACTION NEIGHBORHOODS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 4, 页码: 2046-2068
作者:  Du, Qiang;  Xie, Hehu;  Yin, Xiaobo
收藏  |  浏览/下载:33/0  |  提交时间:2023/02/07
nonlocal model  peridynamics  polygonal approximation  horizon parameter  asymptotically compatible  convergence  
A NOVEL LEAST SQUARES METHOD FOR HELMHOLTZ EQUATIONS WITH LARGE WAVE NUMBERS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 5, 页码: 3091-3123
作者:  Hu, Qiya;  Song, Rongrong
收藏  |  浏览/下载:140/0  |  提交时间:2021/01/14
Helmholtz equations  inhomogeneous media  large wave number  auxiliary unknowns  least squares  error estimates  preconditioner  
SYMPLECTIC RUNGE-KUTTA SEMIDISCRETIZATION FOR STOCHASTIC SCHRODINGER EQUATION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2016, 卷号: 54, 期号: 4, 页码: 2569-2593
作者:  Chen, Chuchu;  Hong, Jialin
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
stochastic Schrodinger equation  infinite-dimensional stochastic Hamiltonian system  symplectic structure  symplectic Runge-Kutta method  semidiscretization  mean-square convergence order  
ON THE ANALYSIS OF THE DISCRETIZED KOHN-SHAM DENSITY FUNCTIONAL THEORY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2015, 卷号: 53, 期号: 4, 页码: 1758-1785
作者:  Liu, Xin;  Wen, Zaiwen;  Wang, Xiao;  Ulbrich, Michael;  Yuan, Yaxiang
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
Kohn-Sham total energy minimization  Kohn-Sham equation  self-consistent field iteration  nonlinear eigenvalue problem  
QUASI-OPTIMALITY OF ADAPTIVE NONCONFORMING FINITE ELEMENT METHODS FOR THE STOKES EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2011, 卷号: 49, 期号: 3, 页码: 970-991
作者:  Becker, Roland;  Mao, Shipeng
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
adaptive finite element methods  Stokes equations  nonconforming finite element methods  convergence  optimality  
A CONVERGENT NONCONFORMING ADAPTIVE FINITE ELEMENT METHOD WITH QUASI-OPTIMAL COMPLEXITY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 卷号: 47, 期号: 6, 页码: 4639-4659
作者:  Becker, Roland;  Mao, Shipeng;  Shi, Zhongci
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
adaptive methods  nonconforming finite elements  a posteriori error estimation  convergence rate  computational complexity  
LOCAL MULTILEVEL METHODS FOR ADAPTIVE FINITE ELEMENT METHODS FOR NONSYMMETRIC AND INDEFINITE ELLIPTIC BOUNDARY VALUE PROBLEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 卷号: 47, 期号: 6, 页码: 4492-4516
作者:  Chen, Huangxin;  Xu, Xuejun
收藏  |  浏览/下载:89/0  |  提交时间:2018/07/30
multilevel methods  local smoothers  adaptive finite element methods  nonsymmetric and indefinite  optimality  
Optimal superconvergence orders of iterated collocation solutions for volterra integral equations with vanishing delays 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2005, 卷号: 43, 期号: 5, 页码: 1934-1949
作者:  Brunner, H;  Hu, QY
收藏  |  浏览/下载:95/0  |  提交时间:2018/07/30
delay integral equation  proportional delays  collocation method  iterated collocation  solution  optimal order of superconvergence  
A hybrid collocation method for Volterra integral equations with weakly singular kernels 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2003, 卷号: 41, 期号: 1, 页码: 364-381
作者:  Cao, YZ;  Herdman, T;  Xu, YH
收藏  |  浏览/下载:85/0  |  提交时间:2018/07/30
Volterra integral equations  hybrid collocation methods  weakly singular kernels