68 Publications (Page 1 of 3)
2021
Data informed solution estimation for forward-backward stochastic differential equationsBao, Feng⋅Bao, Feng⋅Cao, Yanzhao and Cao, YanzhaoAnalysis and Applications, vol. 19, (no. 3), May 2021.
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2019
ADJOINT FORWARD BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY JUMP DIFFUSION PROCESSES AND ITS APPLICATION TO NONLINEAR FILTERING PROBLEMSBao, Feng⋅Cao, Yanzhao and Chi, HongmeiInternational Journal for Uncertainty Quantification, vol. 9, (no. 2), pp. 159, 2019-00-00.
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A hybrid collocation method for fractional initial value problemsWang, Linjun⋅Wang, Fang and Cao, YanzhaoJournal of Integral Equations and Applications, vol. 31, (no. 1), pp. 129, 2019-02-00.
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An explicit a posteriori error estimations for the cell functional minimization scheme of elliptic problemsYin, Li⋅Gao, Zhiming and Cao, YanzhaoJournal of Computational and Applied Mathematics, vol. 362, pp. 323, 2019-12-15.
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Computational Optimal Design of Random Rough Surfaces in Thin-Film Solar CellsBao, Gang⋅Bao, Gang⋅Cao, Yanzhao⋅Cao, Yanzhao⋅Lin, Junshan⋅Lin, Junshan⋅Van Wyk, Hans Werner and Van Wyk, Hans WernerCommunications in Computational Physics, vol. 25, (no. 5), 2019-00-00.
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Explicit Integration of Stiff Stochastic Differential Equations via an Efficient Implementation of Stochastic Computational Singular PerturbationWang, Lijin⋅Cao, Yanzhao and Lam, Sau-HaiCommunications in Computational Physics, vol. 25, (no. 5), 2019-00-00.
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Well‐posedness and finite element approximation of time dependent generalized bioconvective flowCao, Yanzhao⋅Chen, Song and Wyk, Hans‐WernerNumerical Methods for Partial Differential Equations, 2019-11-18.
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2018
A Backward Doubly Stochastic Differential Equation Approach for Nonlinear Filtering ProblemsBao, Feng⋅Cao, Yanzhao and Zhao, WeidongCommunications in Computational Physics, vol. 23, (no. 5), 2018-00-00.
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A Robust Numerical Method for the Random Interface Grating Problem via Shape Calculus, Weak Galerkin Method, and Low-Rank ApproximationBao, Gang⋅Cao, Yanzhao⋅Hao, Yongle and Zhang, KaiJournal of Scientific Computing, vol. 77, (no. 1), pp. 442, 20181000.
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Conforming finite element methods for the stochastic Cahn–Hilliard–Cook equationChai, Shimin⋅Cao, Yanzhao⋅Zou, Yongkui and Zhao, WenjuApplied Numerical Mathematics, vol. 124, pp. 56, February 2018.
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Finite element approximations for second-order stochastic differential equation driven by fractional Brownian motionCao, Yanzhao⋅Hong, Jialin and Liu, ZhihuiIMA Journal of Numerical Analysis, vol. 38, (no. 1), pp. 197, 20180125.
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2017
A fast discrete spectral method for stochastic partial differential equationsCao, Yanzhao⋅Jiang, Ying and Xu, YueshengAdvances in Computational Mathematics, vol. 43, (no. 5), pp. 998, 20171000.
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Approximating Stochastic Evolution Equations with Additive White and Rough NoisesCao, Yanzhao⋅Hong, Jialin and Liu, ZhihuiSIAM Journal on Numerical Analysis, vol. 55, (no. 4), pp. 1981, 2017-01-00.
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Computational singular perturbation analysis of stochastic chemical systems with stiffnessWang, Lijin⋅Wang, Lijin⋅Han, Xiaoying⋅Han, Xiaoying⋅Cao, Yanzhao⋅Cao, Yanzhao⋅Najm, Habib N and Najm, Habib NJournal of Computational Physics, vol. 335, Apr 15, 2017.
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Efficient particle filtering for stochastic Korteweg–de Vries equationsBao, Feng⋅Bao, Feng⋅Bao, Feng⋅Bao, Feng⋅Cao, Yanzhao⋅Cao, Yanzhao⋅Cao, Yanzhao⋅Cao, Yanzhao⋅Han, Xiaoying⋅Han, Xiaoying⋅Han, Xiaoying⋅Han, Xiaoying⋅Li, Jinglai⋅Li, Jinglai⋅Li, Jinglai and Li, JinglaiStochastics and Dynamics, vol. 17, (no. 2), Apr 2017.
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2016
A First Order Scheme for Backward Doubly Stochastic Differential EquationsBao, Feng⋅Cao, Yanzhao⋅Meir, Amnon and Zhao, WeidongSIAM/ASA Journal on Uncertainty Quantification, vol. 4, (no. 1), pp. 445, 2016-01-00.
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Analysis of stochastic vector-host epidemic model with direct transmissionCao, Yanzhao and Denu, DawitDiscrete and Continuous Dynamical Systems - Series B, vol. 21, (no. 7), pp. 2127, 2016-08-00.
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AN EFFICIENT MESH-FREE IMPLICIT FILTER FOR NONLINEAR FILTERING PROBLEMSBao, Feng⋅Bao, Feng⋅Cao, Yanzhao⋅Cao, Yanzhao⋅Webster, Clayton G⋅Webster, Clayton G.⋅Zhang, Guannan and Zhang, GuannanInternational Journal for Uncertainty Quantification, vol. 6, (no. 1), pp. 33, 2016-00-00.
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Identification of hydraulic conductivity distributions in density dependent flow fields of submarine groundwater discharge modeling using adjoint-state sensitivitiesHu, Bill⋅Cao, Yanzhao⋅Zhao, Weidong and Bao, FengScience China. Earth Sciences, vol. 59, (no. 4), pp. 770-779, Apr 2016.
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Particle Swarm Optimization Simulation via Optimal Halton SequencesWeerasinghe, Ganesha⋅Chi, Hongmei and Cao, YanzhaoProcedia Computer Science, vol. 80, pp. 781, 2016.
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Well-posedness and a numerical study of a regularization model with adaptive nonlinear filtering for incompressible fluid flowCao, Yanzhao⋅Chen, Song and Rebholz, Leo GComputers and Mathematics with Applications, vol. 71, (no. 11), pp. 2205, June 2016.
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2015
A first order semi-discrete algorithm for backward doubly stochastic differential equationsBao, Feng⋅Cao, Yanzhao and Zhao, WeidongDiscrete and Continuous Dynamical Systems - Series B, vol. 20, (no. 5), pp. 1313, 2015-05-00.
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An Efficient Meshfreee Implicit Filter for Nonlinear Filtering ProblemsBao, Feng⋅Cao, Yanzhao⋅Webster, Clayton and Zhang, Guannan2015-08-04.
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A stochastic collocation method for stochastic Volterra equations of the second kindCao, Yanzhao and Zhang, RanJournal of Integral Equations and Applications, vol. 27, (no. 1), pp. 25, 2015-03-00.
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Finite element analysis of monofilament woven fabrics under uniaxial tensionShen, Yang⋅Shen, Yang⋅Meir, A.J⋅Meir, A.J⋅Cao, Yanzhao⋅Cao, Yanzhao⋅Adanur, Sabit and Adanur, SabitThe Journal of The Textile Institute, vol. 106, (no. 1), pp. 100, 1/2/2015.
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