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Highly Accurate Numerical Schemes for Stochastic Optimal Control Via FBSDEs 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2020, 卷号: 13, 期号: 2, 页码: 296-319
Authors:  Fu, Yu;  Zhao, Weidong;  Zhou, Tao
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Forward backward stochastic differential equations  stochastic optimal control  stochastic maximum principle  projected quasi-Newton methods  
Optimal strong convergence rate of a backward Euler type scheme for the Cox-Ingersoll-Ross model driven by fractional Brownian motion 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 卷号: 130, 期号: 5, 页码: 2675-2692
Authors:  Hong, Jialin;  Huang, Chuying;  Kamrani, Minoo;  Wang, Xu
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Cox-Ingersoll-Ross model  Fractional Brownian motion  Backward Euler scheme  Optimal strong convergence rate  Malliavin calculus  
Explicit Deferred Correction Methods for Second-Order Forward Backward Stochastic Differential Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 79, 期号: 3, 页码: 1409-1432
Authors:  Yang, Jie;  Zhao, Weidong;  Zhou, Tao
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Deferred correction method  Second-order forward backward stochastic differential equations  Euler scheme  High-order rate of convergence  
Adaptive finite element method for parabolic equations with Dirac measure 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 卷号: 328, 页码: 217-241
Authors:  Gong, Wei;  Liu, Huipo;  Yan, Ningning
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Parabolic equation  Dirac measure  Adaptive finite element method  Space-time discretization  A posteriori error estimates  
Deferred Correction Methods for Forward Backward Stochastic Differential Equations 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2017, 卷号: 10, 期号: 2, 页码: 222-242
Authors:  Tang, Tao;  Zhao, Weidong;  Zhou, Tao
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Deferred correction method  forward backward stochastic differential equations  Euler method  high-order scheme  
AN EFFICIENT GRADIENT PROJECTION METHOD FOR STOCHASTIC OPTIMAL CONTROL PROBLEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 卷号: 55, 期号: 6, 页码: 2982-3005
Authors:  Gong, Bo;  Liu, Wenbin;  Tang, Tao;  Zhao, Weidong;  Zhou, Tao
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stochastic optimal control  gradient projection methods  backward stochastic differential equations  conditional expectations  
deferredcorrectionmethodsforforwardbackwardstochasticdifferentialequations 期刊论文
numericalmathematicstheorymethodsandapplications, 2017, 卷号: 10, 期号: 2, 页码: 222
Authors:  Tang Tao;  Zhao Weidong;  Zhou Tao
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Multistep Schemes for Forward Backward Stochastic Differential Equations with Jumps 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 卷号: 69, 期号: 2, 页码: 651-672
Authors:  Fu, Yu;  Zhao, Weidong;  Zhou, Tao
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Multistep scheme  Jump-diffusion process  Forward backward stochastic differential equation with jumps  
Flux-difference splitting-based upwind compact schemes for the incompressible Navier-Stokes equations 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2009, 卷号: 61, 期号: 5, 页码: 552-568
Authors:  Shah, Abdullah;  Yuan, Li
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upwind compact difference  flux-difference splitting  incompressible Navier-Stokes equation  artificial compressibility  backward facing step  lid-driven cavity flow  
Cascadic multigrid methods for parabolic problems 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 卷号: 51, 期号: 8, 页码: 1415-1439
Authors:  Du Qiang;  Ming PingBing
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cascadic multigrid method  parabolic problem  finite element methods  backward Euler scheme  smoother  stability  optimal error order  optimal complexity