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EFFICIENT SPECTRAL SPARSE GRID APPROXIMATIONS FOR SOLVING MULTI-DIMENSIONAL FORWARD BACKWARD SDES 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 卷号: 22, 期号: 9, 页码: 3439-3458
作者:  Fu, Yu;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载:120/0  |  提交时间:2018/07/30
Spectral method  sparse grid approximations  forward backward stochastic differential equations  conditional expectations  fast Fourier transform  
Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 卷号: 22, 期号: 4, 页码: 1069-1100
作者:  Hu, Qiya;  Zhao, Lin
收藏  |  浏览/下载:115/0  |  提交时间:2018/07/30
2D-3T heat conduction equations  discontinuous Galerkin method  domain decomposition preconditioner  iterative numbers  
Superconvergence of Finite Element Approximations for the Fractional Diffusion-Wave Equation 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 72, 期号: 3, 页码: 917-935
作者:  Ren, Jincheng;  Long, Xiaonian;  Mao, Shipeng;  Zhang, Jiwei
收藏  |  浏览/下载:139/0  |  提交时间:2018/07/30
Fractional diffusion-wave equation  Finite element method  Fully discrete scheme  Error estimate  
An Adaptive Finite Element Method for the Wave Scattering with Transparent Boundary Condition 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 72, 期号: 3, 页码: 936-956
作者:  Jiang, Xue;  Li, Peijun;  Lv, Junliang;  Zheng, Weiying
收藏  |  浏览/下载:103/0  |  提交时间:2018/07/30
Acoustic scattering problem  Adaptive finite element method  Transparent boundary condition  A posteriori error estimate  
Isogeometric finite element approximation of minimal surfaces based on extended loop subdivision 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 343, 页码: 324-339
作者:  Pan, Qing;  Chen, Chong;  Xu, Guoliang
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
Extended loop subdivision  Isogeometric analysis  Error estimates  Minimal surfaces  
A Full Multigrid Method for Distributed Control Problems Constrained by Stokes Equations 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2017, 卷号: 10, 期号: 3, 页码: 639-655
作者:  Butt, M. M.;  Yuan, Y.
收藏  |  浏览/下载:112/0  |  提交时间:2018/07/30
PDE-constrained optimization  stokes equations  multigrid  staggered grids  finite difference  
Numerical Solution to Optimal Feedback Control by Dynamic Programming Approach: A Local Approximation Algorithm 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2017, 卷号: 30, 期号: 4, 页码: 782-802
作者:  Guo Bao-Zhu;  Wu Tao-Tao
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
Curse of dimensionality  Hamilton-Jacobi-Bellman equation  optimal feedback control  upwind finite difference  viscosity solutions.  
Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2017, 卷号: 24, 期号: 4, 页码: 15
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya;  Pan, Jian-Yu
收藏  |  浏览/下载:155/0  |  提交时间:2018/07/30
convergence  Krylov subspace method  matrix splitting iteration  preconditioning  spatial fractional diffusion equation  spectral analysis  
Finite element methods for a class of continuum models for immiscible flows with moving contact lines 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2017, 卷号: 84, 期号: 5, 页码: 268-291
作者:  Reusken, Arnold;  Xu, Xianmin;  Zhang, Liang
收藏  |  浏览/下载:117/0  |  提交时间:2018/07/30
moving contact line  general Navier boundary condition(GNBC)  sharp interface  level set  Nitsche's method  extended finite element method  
Parallel numerical simulation of the thermal convection in the Earth's outer core on the cubed-sphere 期刊论文
GEOPHYSICAL JOURNAL INTERNATIONAL, 2017, 卷号: 209, 期号: 3, 页码: 1934-1954
作者:  Yin, Liang;  Yang, Chao;  Ma, Shi-Zhuang;  Huang, Ji-Zu;  Cai, Ying
收藏  |  浏览/下载:145/0  |  提交时间:2018/07/30
Core  Dynamo: theories and simulations  Non-linear differential equations  Numerical solutions