68 Publications (Page 2 of 3)
2015
Forward Backward Doubly Stochastic Differential Equations and the Optimal Filtering of Diffusion ProcessesBao, Feng⋅Cao, Yanzhao and Han, Xiaoping2015-09-21.
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Quasilinear poroelasticity: Analysis and hybrid finite element approximationCao, Yanzhao⋅Chen, Song and Meir, A. JNumerical Methods for Partial Differential Equations, vol. 31, (no. 4), pp. 1189, 2015-07-00.
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Special section on differential equations: Theory, application, and numerical approximationZhang, Zhimin⋅Liu, Anping and Cao, YanzhaoDiscrete and Continuous Dynamical Systems - Series B, vol. 20, (no. 5), 2015-05-00.
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Well-posedness and Finite Element Approximations for Elliptic SPDEs with Gaussian NoisesCao, Yanzhao⋅Hong, Jialin and Liu, Zhihui2015-10-07.
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2014
A Hybrid Sparse-Grid Approach for Nonlinear Filtering Problems Based on Adaptive-Domain of the Zakai Equation ApproximationsBao, Feng⋅Bao, Feng⋅Cao, Yanzhao⋅Cao, Yanzhao⋅Webster, Clayton⋅Webster, Clayton⋅Zhang, Guannan and Zhang, GuannanSIAM/ASA Journal on Uncertainty Quantification, vol. 2, (no. 1), pp. 804, 2014-01-00.
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An Implicit Algorithm of Solving Nonlinear Filtering ProblemsBao, Feng⋅Bao, Feng⋅Cao, Yanzhao⋅Cao, Yanzhao⋅Han, Xiaoying and Han, XiaoyingCommunications in Computational Physics, vol. 16, (no. 2), pp. 402, 2014-08-00.
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On the problems of peridynamics with special convolution kernelsAlimov, S.A⋅Cao, Yanzhao and Ilhan, O.AJournal of Integral Equations and Applications, vol. 26, (no. 3), pp. 321, 2014-09-00.
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Orthogonal polynomial expansions on sparse gridsCao, Yanzhao⋅Jiang, Ying and Xu, YueshengJournal of Complexity, vol. 30, (no. 6), pp. 715, December 2014.
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Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systemsCao, Yanzhao⋅Gunzburger, Max⋅He, Xiaoming and Wang, XiaomingMathematics of Computation of the American Mathematical Society, vol. 83, (no. 288), pp. 1644, July 1, 2014.
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2013
Analysis and numerical approximations of equations of nonlinear poroelasticityCao, Yanzhao⋅Chen, Song and Meir, A. JDiscrete and Continuous Dynamical Systems - Series B, vol. 18, (no. 5), pp. 1273, 2013-03-00.
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2012
Experimental and computational validation and verification of the Stokes-Darcy and continuum pipe flow models for karst aquifers with dual porosity structureHu, Xiaolong⋅Wang, Xiaoming⋅Gunzburger, Max⋅Hua, Fei and Cao, YanzhaoHydrological Processes, vol. 26, (no. 13), pp. 2040, 2012-06-30.
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2011
Analysis and finite element approximation of a coupled, continuum pipe‐flow/Darcy model for flow in porous media with embedded conduitsCao, Yanzhao⋅Gunzburger, Max⋅Hua, Fei and Wang, XiaomingNumerical Methods for Partial Differential Equations, vol. 27, (no. 5), pp. 1252, September 2011.
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NUMERICAL SOLUTIONS FOR FORWARD BACKWARD DOUBLY STOCHASTIC DIFFERENTIAL EQUATIONS AND ZAKAI EQUATIONSBao, Feng⋅Cao, Yanzhao and Zhao, WeidongInternational Journal for Uncertainty Quantification, vol. 1, (no. 4), pp. 367, 2011.
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Robin–Robin domain decomposition methods for the steady-state Stokes–Darcy system with the Beavers–Joseph interface conditionCao, Yanzhao⋅Gunzburger, Max⋅He, Xiaoming and Wang, XiaomingNumerische Mathematik, vol. 117, (no. 4), pp. 629, 20110400.
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2010
Coupled Stokes-Darcy model with Beavers-Joseph interface boundary conditionCao, Yanzhao⋅Gunzburger, Max⋅Hua, Fei and Wang, XiaomingCommunications in Mathematical Sciences, vol. 8, (no. 1), pp. 25, 2010-00-00.
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Error analysis of finite element approximations of the stochastic Stokes equationsCao, Yanzhao⋅Chen, Zheng and Gunzburger, MaxAdvances in Computational Mathematics, vol. 33, (no. 2), pp. 215-230, 2010.
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Finite Element Approximations for Stokes-Darcy Flow with Beavers-Joseph Interface ConditionsCao, Yanzhao⋅Gunzburger, Max D⋅Hu, Xiaolong⋅Hua, Fei⋅Wang, Xiaoming and Zhao, WeidongSIAM Journal on Numerical Analysis, vol. 47, (no. 6), pp. 4239-4256, 2010.
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2009
A Fast Collocation Method for Solving Stochastic Integral EquationsCao, Yanzhao⋅Wu, Bin and Xu, YueshengSIAM Journal on Numerical Analysis, vol. 47, (no. 5), pp. 3744-3767, 2009.
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Optimal control of vector-borne diseases: Treatment and preventionBlayneh, Kbenesh⋅Cao, Yanzhao and Kwon, Hee-DaeDiscrete and Continuous Dynamical Systems - Series B, vol. 11, (no. 3), pp. 611, 2009-03-00.
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2008
FINITE ELEMENT AND DISCONTINUOUS GALERKIN METHOD FOR STOCHASTIC HELMHOLTZ EQUATION IN TWO- AND THREE-DIMENSIONSCao, Yanzhao⋅Zhang, Ran and Zhang, KaiJournal of Computational Mathematics, vol. 26, (no. 5), pp. 715, 20080901.
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Finite Element Method and Discontinuous Galerkin Method for Stochastic Scattering Problem of Helmholtz Type in [].sup.dCao, Yanzhao⋅Zhang, Ran and Zhang, KaiPotential Analysis, vol. 28, (no. 4), pp. 301, 20080601.
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2007
Finite element methods for semilinear elliptic stochastic partial differential equationsCao, Yanzhao⋅Cao, Yanzhao⋅Yang, Hongtao⋅Yang, Hongtao⋅Yin, Li and Yin, LiNumerische Mathematik, vol. 106, (no. 2), pp. 198, 20070400.
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Hybrid collocation methods for Fredholm integral equations with weakly singular kernelsCao, Yanzhao⋅Cao, Yanzhao⋅Huang, Min⋅Huang, Min⋅Liu, Liping⋅Liu, Liping⋅Xu, Yuesheng and Xu, YueshengApplied Numerical Mathematics, vol. 57, (no. 5), pp. 561, 2007.
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SINGULARITY EXPANSION FOR A CLASS OF NEUTRAL EQUATIONSCao, Yanzhao⋅CEREZO, GRACIELA⋅HERDMAN, TERRY and TURI, JANOSThe Journal of Integral Equations and Applications, vol. 19, (no. 1), pp. 32, 20070401.
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Spectral Galerkin method for stochastic wave equations driven by space-time white noiseYin, Li and Cao, YanzhaoCommunications on Pure and Applied Analysis, vol. 6, (no. 3), pp. 617, 2007-06-00.
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