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Yanzhao Cao
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2020 – today
- 2024
- [j28]Fengshan Zhang, Yongkui Zou, Shimin Chai, Yanzhao Cao
:
Numerical analysis of a time discretized method for nonlinear filtering problem with Lévy process observations. Adv. Comput. Math. 50(4): 73 (2024) - [j27]Richard Archibald
Numerical Analysis for Convergence of a Sample-Wise Backpropagation Method for Training Stochastic Neural Networks. SIAM J. Numer. Anal. 62(2): 593-621 (2024) - [j26]Minglei Yang
A Pseudoreversible Normalizing Flow for Stochastic Dynamical Systems with Various Initial Distributions. SIAM J. Sci. Comput. 46(4): 508- (2024) - [i12]Minglei Yang, Pengjun Wang, Ming Fan, Dan Lu, Yanzhao Cao, Guannan Zhang:
Conditional Pseudo-Reversible Normalizing Flow for Surrogate Modeling in Quantifying Uncertainty Propagation. CoRR abs/2404.00502 (2024) - [i11]Yibo Wang, Wanrong Cao, Yanzhao Cao:
Strong convergence of an explicit full-discrete scheme for stochastic Burgers-Huxley equation. CoRR abs/2408.00947 (2024) - 2023
- [j25]Feng Bao, Yanzhao Cao, He Zhang:
Splitting scheme for backward doubly stochastic differential equations. Adv. Comput. Math. 49(4): 65 (2023) - [j24]Phuoc-Toan Huynh, Yanzhao Cao, Thi-Thao-Phuong Hoang
Fast and Accuracy-Preserving Domain Decomposition Methods for Reduced Fracture Models with Nonconforming Time Grids. J. Sci. Comput. 96(1): 23 (2023) - [j23]Minglei Yang
A Probabilistic Scheme for Semilinear Nonlocal Diffusion Equations with Volume Constraints. SIAM J. Numer. Anal. 61(6): 2718-2743 (2023) - [i10]Minglei Yang, Pengjun Wang, Diego del-Castillo-Negrete, Yanzhao Cao, Guannan Zhang:
A pseudo-reversible normalizing flow for stochastic dynamical systems with various initial distributions. CoRR abs/2306.05580 (2023) - [i9]Yanfang Liu, Minglei Yang, Zezhong Zhang
Diffusion-Model-Assisted Supervised Learning of Generative Models for Density Estimation. CoRR abs/2310.14458 (2023) - 2022
- [j22]Fengshan Zhang, Yongkui Zou, Shimin Chai, Ran Zhang, Yanzhao Cao
Splitting-up Spectral Method for Nonlinear Filtering Problems with Correlation Noises. J. Sci. Comput. 93(1): 25 (2022) - [i8]Phuoc-Toan Huynh, Yanzhao Cao, Thi-Thao-Phuong Hoang:
Fast and accurate domain decomposition methods for reduced fracture models with nonconforming time grids. CoRR abs/2202.06116 (2022) - [i7]Minglei Yang, Guannan Zhang, Diego del-Castillo-Negrete, Yanzhao Cao:
A probabilistic scheme for semilinear nonlocal diffusion equations with volume constraints. CoRR abs/2205.00516 (2022) - [i6]Fengshan Zhang, Yongkui Zou, Shimin Chai, Yanzhao Cao:
Numerical analysis of a time discretized method for nonlinear filtering problem with Lévy process observations. CoRR abs/2211.14837 (2022) - [i5]Richard Archibald
Convergence Analysis for Training Stochastic Neural Networks via Stochastic Gradient Descent. CoRR abs/2212.08924 (2022) - 2021
- [j21]Peng Wang, Yanzhao Cao, Xiaoying Han
Mean-square convergence of numerical methods for random ordinary differential equations. Numer. Algorithms 87(1): 299-333 (2021) - [i4]Feng Bao, Yanzhao Cao, He Zhang:
Solving Backward Doubly Stochastic Differential Equations through Splitting Schemes. CoRR abs/2103.08632 (2021) - [i3]Yanzhao Cao, Somak Das, Hans-Werner van Wyk:
Adaptive Gradient Descent for Optimal Control of Parabolic Equations with Random Parameters. CoRR abs/2110.10671 (2021) - 2020
- [j20]Jingyuan Zhang, Chenguang Zhou
A locking free numerical approximation for quasilinear poroelasticity problems. Comput. Math. Appl. 80(6): 1538-1554 (2020) - [i2]Yanzhao Cao, Somak Das, Luke Oeding
Analysis of the Stochastic Alternating Least Squares Method for the Decomposition of Random Tensors. CoRR abs/2004.12530 (2020) - [i1]Richard Archibald, Feng Bao, Yanzhao Cao, He Zhang:
Uncertainty Quantification in Deep Learning through Stochastic Maximum Principle. CoRR abs/2011.14145 (2020)
2010 – 2019
- 2019
- [j19]Li Yin, Zhiming Gao, Yanzhao Cao
An explicit a posteriori error estimations for the cell functional minimization scheme of elliptic problems. J. Comput. Appl. Math. 362: 309-323 (2019) - 2018
- [j18]Gang Bao, Yanzhao Cao, Yongle Hao
A Robust Numerical Method for the Random Interface Grating Problem via Shape Calculus, Weak Galerkin Method, and Low-Rank Approximation. J. Sci. Comput. 77(1): 419-442 (2018) - 2017
- [j17]Yanzhao Cao, Ying Jiang, Yuesheng Xu:
A fast discrete spectral method for stochastic partial differential equations. Adv. Comput. Math. 43(5): 973-998 (2017) - [j16]Lijin Wang, Xiaoying Han
Computational singular perturbation analysis of stochastic chemical systems with stiffness. J. Comput. Phys. 335: 404-425 (2017) - [j15]Yanzhao Cao, Jialin Hong, Zhihui Liu
Approximating Stochastic Evolution Equations with Additive White and Rough Noises. SIAM J. Numer. Anal. 55(4): 1958-1981 (2017) - 2016
- [j14]Yanzhao Cao
Well-posedness and a numerical study of a regularization model with adaptive nonlinear filtering for incompressible fluid flow. Comput. Math. Appl. 71(11): 2192-2205 (2016) - [j13]Feng Bao, Yanzhao Cao, Amnon J. Meir
A First Order Scheme for Backward Doubly Stochastic Differential Equations. SIAM/ASA J. Uncertain. Quantification 4(1): 413-445 (2016) - [c2]Ganesha Weerasinghe, Hongmei Chi, Yanzhao Cao:
Particle Swarm Optimization Simulation via Optimal Halton Sequences. ICCS 2016: 772-781 - 2014
- [j12]Yanzhao Cao, Ying Jiang, Yuesheng Xu:
Orthogonal polynomial expansions on sparse grids. J. Complex. 30(6): 683-715 (2014) - [j11]Feng Bao, Yanzhao Cao, Clayton G. Webster
A Hybrid Sparse-Grid Approach for Nonlinear Filtering Problems Based on Adaptive-Domain of the Zakai Equation Approximations. SIAM/ASA J. Uncertain. Quantification 2(1): 784-804 (2014) - [j10]Yanzhao Cao, Max D. Gunzburger, Xiaoming He, Xiaoming Wang:
Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. Math. Comput. 83(288): 1617-1644 (2014) - 2011
- [j9]Yanzhao Cao, Max D. Gunzburger, Xiaoming He, Xiaoming Wang:
Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition. Numerische Mathematik 117(4): 601-629 (2011) - 2010
- [j8]Yanzhao Cao, Zheng Chen, Max D. Gunzburger:
Error analysis of finite element approximations of the stochastic Stokes equations. Adv. Comput. Math. 33(2): 215-230 (2010) - [j7]Yanzhao Cao, Max D. Gunzburger, Xiaolong Hu, Fei Hua, Xiaoming Wang
Finite Element Approximations for Stokes-Darcy Flow with Beavers-Joseph Interface Conditions. SIAM J. Numer. Anal. 47(6): 4239-4256 (2010) - [c1]Hongmei Chi, Yanzhao Cao:
Generating Parallel Random Sequences via Parameterizing EICGs for Heterogeneous Computing Environments. ICCSA (4) 2010: 409-417
2000 – 2009
- 2009
- [j6]Yanzhao Cao, Bin Wu, Yuesheng Xu:
A Fast Collocation Method for Solving Stochastic Integral Equations. SIAM J. Numer. Anal. 47(5): 3744-3767 (2009) - 2008
- [j5]Yanzhao Cao, Hongmei Chi, C. Milton, Weidong Zhao:
Exploitation of sensitivity derivatives via randomized quasi-Monte Carlo methods. Monte Carlo Methods Appl. 14(3): 269-279 (2008) - 2007
- [j4]Yanzhao Cao, Hongtao Yang, Li Yin:
Finite element methods for semilinear elliptic stochastic partial differential equations. Numerische Mathematik 106(2): 181-198 (2007) - 2003
- [j3]Yanzhao Cao, M. Yousuff Hussaini, Thomas A. Zang:
An Efficient Monte Carlo Method for Optimal Control Problems with Uncertainty. Comput. Optim. Appl. 26(3): 219-230 (2003) - [j2]Yanzhao Cao, Terry Herdman, Yuesheng Xu:
A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels. SIAM J. Numer. Anal. 41(1): 364-381 (2003) - 2001
- [j1]Yanzhao Cao:
Numerical approximations of exact controllability problems by optimal control problems for parabolic differential equations. Appl. Math. Comput. 119(2-3): 127-145 (2001)
Coauthor Index
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