Math @ Duke

Papers Published
 Bryson, J; Vershynin, R; Zhao, H, Marchenko–Pastur law with relaxed independence conditions,
Random Matrices: Theory and Applications
(January, 2021), World Scientific Publishing [doi] [abs]
 Zhao, H; Li, J, Scalable Incremental Nonconvex Optimization Approach for Phase Retrieval,
Journal of Scientific Computing
(2021), Springer (part of Springer Nature)
 Zhong, Y; Zhao, H, A Fast Algorithm for TimeDependent Radiative Transport Equation Based on Integral Formulation,
Csiam Transactions on Applied Mathematics, vol. 1 no. 2
(June, 2020),
pp. 346364, Global Science Press [doi]
 Li, J; Zhao, H, Robust Inexact Alternating Optimization for Matrix Completion with Outliers,
Journal of Computational Mathematics, vol. 38 no. 2
(June, 2020),
pp. 337354, Global Science Press [doi]
 Li, J; Zhao, H, Solving phase retrieval via graph projection splitting,
Inverse Problems, vol. 36 no. 5
(May, 2020),
pp. 055003055003, IOP Publishing [doi]
 Li, S; Zhang, Z; Zhao, H, A DataDriven Approach for Multiscale Elliptic PDEs with Random Coefficients Based on Intrinsic Dimension Reduction,
Multiscale Modeling & Simulation, vol. 18 no. 3
(January, 2020),
pp. 12421271, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Zhao, H; Lai, R; Xiang, R, Efficient and robust shape correspondence via sparsityenforced quadratic assignment,
Proceedings of the Ieee Computer Society Conference on Computer Vision and Pattern Recognition, vol. 1
(2020),
pp. 95109519, IEEE [doi]
 Li, H; Zhao, H; Li, H, NeuralResponseBased Extreme Learning Machine for Image Classification,
Ieee Transactions on Neural Networks and Learning Systems, vol. 30 no. 2
(February, 2019),
pp. 539552, Institute of Electrical and Electronics Engineers (IEEE) [doi]
 Zhao, H; Zhong, Y, A hybrid adaptive phase space method for reflection traveltime tomography,
Siam Journal on Imaging Sciences, vol. 12 no. 1
(January, 2019),
pp. 2853 [doi] [abs]
 Bryson, J; Zhao, H; Zhong, Y, Intrinsic complexity and scaling laws: From random fields to random vectors,
Multiscale Modeling & Simulation, vol. 17 no. 1
(January, 2019),
pp. 460481 [doi] [abs]
 Zhao, H; Zhong, Y, Instability of an Inverse Problem for the Stationary Radiative Transport Near the Diffusion Limit,
Siam Journal on Mathematical Analysis, vol. 51 no. 5
(January, 2019),
pp. 37503768, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Lai, R; Zhao, H, Solving PDEs on manifolds represented as point clouds and applications,
Handbook of Numerical Analysis
(2019),
pp. 315349, Elsevier, ISBN 9780444641403 [doi]
 Engquist, B; Zhao, H, Approximate Separability of the Green's Function of the Helmholtz Equation in the High Frequency Limit,
Communications on Pure and Applied Mathematics, vol. 71 no. 11
(November, 2018),
pp. 22202274, WILEY [doi]
 Fang, J; Qian, J; ZepedaNúñez, L; Zhao, H, A hybrid approach to solve the highfrequency Helmholtz equation with source singularity in smooth heterogeneous media,
Journal of Computational Physics, vol. 371
(October, 2018),
pp. 261279, Elsevier BV [doi]
 Zhang, C; Shahbaba, B; Zhao, H, Variational Hamiltonian Monte Carlo via Score Matching,
Bayesian Analysis, vol. 13 no. 2
(June, 2018),
pp. 485506, Institute of Mathematical Statistics [doi]
 Wang, M; Leung, S; Zhao, H, Modified Virtual Grid Difference for Discretizing the LaplaceBeltrami Operator on Point Clouds,
Siam Journal on Scientific Computing, vol. 40 no. 1
(January, 2018),
pp. A1A21, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Ying, N; Hou, S; Leung, S; Zhao, H, A weak formulation for the multiphase Stokes flow problem without body fitting grids,
Pure and Applied Mathematics Quarterly, vol. 14 no. 1
(2018),
pp. 131159, International Press of Boston [doi]
 Fang, J; Qian, J; ZepedaNúñez, L; Zhao, H, Learning dominant wave directions for plane wave methods for highfrequency Helmholtz equations,
Research in the Mathematical Sciences, vol. 4 no. 1
(December, 2017), Springer Science and Business Media LLC [doi]
 Zhang, C; Shahbaba, B; Zhao, H, Hamiltonian Monte Carlo acceleration using surrogate functions with random bases,
Statistics and Computing, vol. 27 no. 6
(November, 2017),
pp. 14731490, Springer Science and Business Media LLC [doi]
 Zhang, C; Shahbaba, B; Zhao, H, Precomputing strategy for Hamiltonian Monte Carlo method based on regularity in parameter space,
Computational Statistics, vol. 32 no. 1
(March, 2017),
pp. 253279, Springer Science and Business Media LLC [doi]
 Lai, R; Zhao, H, Multiscale Nonrigid Point Cloud Registration Using RotationInvariant SlicedWasserstein Distance via LaplaceBeltrami Eigenmap,
Siam Journal on Imaging Sciences, vol. 10 no. 2
(January, 2017),
pp. 449483, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Luo, S; Zhao, H, Convergence analysis of the fast sweeping method for static convex Hamilton–Jacobi equations,
Research in the Mathematical Sciences, vol. 3 no. 1
(December, 2016), Springer Science and Business Media LLC [doi]
 ZepedaNún͂ez, L; Zhao, H, Fast Alternating BiDirectional Preconditioner for the 2D HighFrequency LippmannSchwinger Equation,
Siam Journal on Scientific Computing, vol. 38 no. 5
(January, 2016),
pp. B866B888, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Zhao, H; Liang, J; Lai, R; Wong, TW, Geometric Understanding of Point Clouds Using LaplaceBeltrami Operator,
Proceedings of the Ieee Computer Society Conference on Computer Vision and Pattern Recognition
(2016),
pp. 214221, IEEE
 Zhao, H, The Fast Sweeping Method for Stationary Hamilton–Jacobi Equations,
Handbook of Numerical Analysis
(2016),
pp. 585601, Elsevier, ISBN 9780444637895 [doi]
 Liu, J; Zhang, X; Zhang, X; Zhao, H; Gao, Y; Thomas, D; Low, DA; Gao, H, 5D respiratory motion model based image reconstruction algorithm for 4D conebeam computed tomography,
Inverse Problems, vol. 31 no. 11
(November, 2015),
pp. 115007115007, IOP Publishing [doi]
 Li, Z; Xiao, L; Cai, Q; Zhao, H; Luo, R, A semiimplicit augmented IIM for Navier–Stokes equations with open, traction, or free boundary conditions,
Journal of Computational Physics, vol. 297
(September, 2015),
pp. 182193, Elsevier BV [doi]
 Schaeffer, H; Yang, Y; Zhao, H; Osher, S, RealTime Adaptive Video Compression,
Siam Journal on Scientific Computing, vol. 37 no. 6
(January, 2015),
pp. B980B1001, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Wong, TW; Zhao, HK, Computing Surface Uniformization Using Discrete Beltrami Flow,
Siam Journal on Scientific Computing, vol. 37 no. 3
(January, 2015),
pp. A1342A1364, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Liu, H; Zhao, H; Zou, C, Determining scattering support of anisotropic acoustic mediums and obstacles,
Communications in Mathematical Sciences, vol. 13 no. 4
(2015),
pp. 9871000, International Press of Boston [doi]
 Xiao, L; Cai, Q; Li, Z; Zhao, H; Luo, R, A multiscale method for dynamics simulation in continuum solvent models. I: Finitedifference algorithm for Navier–Stokes equation,
Chemical Physics Letters, vol. 616617
(November, 2014),
pp. 6774, Elsevier BV [doi]
 Hon, SY; Leung, S; Zhao, H, A cell based particle method for modeling dynamic interfaces,
Journal of Computational Physics, vol. 272
(September, 2014),
pp. 279306, Elsevier BV [doi]
 Cai, JF; Jia, X; Gao, H; Jiang, SB; Shen, Z; Zhao, H, Cine Cone Beam CT Reconstruction Using LowRank Matrix Factorization: Algorithm and a ProofofPrinciple Study,
Ieee Transactions on Medical Imaging, vol. 33 no. 8
(August, 2014),
pp. 15811591, Institute of Electrical and Electronics Engineers (IEEE) [doi]
 Aslam, T; Luo, S; Zhao, H, A static PDE Approach for MultiDimensional Extrapolation Using Fast Sweeping Methods,
Siam Journal on Scientific Computing, vol. 36 no. 6
(January, 2014),
pp. A2907A2928, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Wong, TW; Zhao, HK, Computation of QuasiConformal Surface Maps Using Discrete Beltrami Flow,
Siam Journal on Imaging Sciences, vol. 7 no. 4
(January, 2014),
pp. 26752699, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Lou, Y; Esser, E; Zhao, H; Xin, J, Partially Blind Deblurring of Barcode from OutofFocus Blur,
Siam Journal on Imaging Sciences, vol. 7 no. 2
(January, 2014),
pp. 740760, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Bao, G; Huang, K; Li, P; Zhao, H, A Direct Imaging Method for Inverse Scattering Using the Generalized Foldy–Lax Formulation,
Surveys on Discrete and Computational Geometry: Twenty Years Later
(2014),
pp. 4970, American Mathematical Society [doi]
 Wang, C; Wang, J; Cai, Q; Li, Z; Zhao, HK; Luo, R, Exploring accurate Poisson–Boltzmann methods for biomolecular simulations,
Computational and Theoretical Chemistry, vol. 1024
(November, 2013),
pp. 3444, Elsevier BV [doi]
 Hou, S; Song, P; Wang, L; Zhao, H, A weak formulation for solving elliptic interface problems without body fitted grid,
Journal of Computational Physics, vol. 249
(September, 2013),
pp. 8095, Elsevier BV [doi]
 Huang, K; Li, P; Zhao, H, An efficient algorithm for the generalized Foldy–Lax formulation,
Journal of Computational Physics, vol. 234
(February, 2013),
pp. 376398, Elsevier BV [doi]
 Liang, J; Park, F; Zhao, H, Robust and Efficient Implicit Surface Reconstruction for Point Clouds Based on Convexified Image Segmentation,
Journal of Scientific Computing, vol. 54 no. 23
(February, 2013),
pp. 577602, Springer Science and Business Media LLC [doi]
 Ren, K; Zhao, H, Quantitative Fluorescence Photoacoustic Tomography,
Siam Journal on Imaging Sciences, vol. 6 no. 4
(January, 2013),
pp. 24042429, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Liang, J; Zhao, H, Solving Partial Differential Equations on Point Clouds,
Siam Journal on Scientific Computing, vol. 35 no. 3
(January, 2013),
pp. A1461A1486, Society for Industrial & Applied Mathematics (SIAM) [doi]
 BotelloSmith, WM; Liu, X; Cai, Q; Li, Z; Zhao, H; Luo, R, Numerical Poisson–Boltzmann model for continuum membrane systems,
Chemical Physics Letters, vol. 555
(January, 2013),
pp. 274281, Elsevier BV [doi]
 Ren, K; Gao, H; Zhao, H, A Hybrid Reconstruction Method for Quantitative PAT,
Siam Journal on Imaging Sciences, vol. 6 no. 1
(January, 2013),
pp. 3255, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Liu, X; Wang, C; Wang, J; Li, Z; Zhao, H; Luo, R, Exploring a chargecentral strategy in the solution of Poisson's equation for biomolecular applications,
Physical Chemistry Chemical Physics : Pccp, vol. 15 no. 1
(2013),
pp. 129141, Royal Society of Chemistry (RSC) [doi]
 Lai, R; Liang, J; Zhao, HK, A local mesh method for solving PDEs on point clouds,
Inverse Problems & Imaging, vol. 7 no. 3
(2013),
pp. 737755, American Institute of Mathematical Sciences (AIMS) [doi]
 Innovations for Shape Analysis
(2013), Springer Berlin Heidelberg, ISBN 9783642341403 [doi]
 Gao, H; Zhao, H, Analysis of a numerical solver for radiative transport equation,
Mathematics of Computation, vol. 82 no. 281
(April, 2012),
pp. 153172, American Mathematical Society (AMS) [doi]
 Luo, S; Qian, J; Zhao, H, Higherorder schemes for 3D firstarrival traveltimes and amplitudes,
Geophysics, vol. 77 no. 2
(March, 2012),
pp. T47T56, Society of Exploration Geophysicists [doi] [abs]
 Mathematical Modeling in Biomedical Imaging II
(2012), Springer Berlin Heidelberg, ISBN 9783642229893 [doi]
 Chung, E; Qian, J; Uhlmann, G; Zhao, H, An adaptive phase space method with application to reflection traveltime tomography,
Inverse Problems, vol. 27 no. 11
(November, 2011),
pp. 115002115002, IOP Publishing [doi]
 Xu, JJ; Li, Z; Lowengrub, J; Zhao, H, Numerical Study of SurfactantLaden DropDrop Interactions,
Communications in Computational Physics, vol. 10 no. 2
(August, 2011),
pp. 453473, Global Science Press [doi] [abs]
 Gao, H; Cai, JF; Shen, Z; Zhao, H, Robust principal component analysisbased fourdimensional computed tomography,
Physics in Medicine and Biology, vol. 56 no. 11
(June, 2011),
pp. 31813198, IOP Publishing [doi]
 Luo, S; Yu, Y; Zhao, H, A New Approximation for Effective Hamiltonians for Homogenization of a class of Hamilton–Jacobi Equations,
Multiscale Modeling & Simulation, vol. 9 no. 2
(April, 2011),
pp. 711734, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Leung, S; Lowengrub, J; Zhao, H, A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion,
Journal of Computational Physics, vol. 230 no. 7
(April, 2011),
pp. 25402561, Elsevier BV [doi]
 Qian, J; Stefanov, P; Uhlmann, G; Zhao, H, An Efficient Neumann Series–Based Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed,
Siam Journal on Imaging Sciences, vol. 4 no. 3
(January, 2011),
pp. 850883, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Zhang, YT; Chen, S; Li, F; Zhao, H; Shu, CW, Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations,
Siam Journal on Scientific Computing, vol. 33 no. 4
(January, 2011),
pp. 18731896, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Luo, S; J. Guibas, L; Zhao, HK, Euclidean skeletons using closest points,
Inverse Problems & Imaging, vol. 5 no. 1
(2011),
pp. 95113, American Institute of Mathematical Sciences (AIMS) [doi]
 Gao, H; Zhao, H; Cong, W; Wang, G, Bioluminescence tomography with Gaussian prior,
Biomedical Optics Express, vol. 1 no. 5
(December, 2010),
pp. 12591259, The Optical Society [doi]
 Huang, K; Solna, K; Zhao, H, Generalized FoldyLax formulation,
Journal of Computational Physics, vol. 229 no. 12
(June, 2010),
pp. 45444553, Elsevier BV [doi]
 Gao, H; Lin, Y; Gulsen, G; Zhao, H, Fully linear reconstruction method for fluorescence yield and lifetime through inverse complexsource formulation: simulation studies,
Optics Letters, vol. 35 no. 11
(June, 2010),
pp. 18991899, The Optical Society [doi]
 Li, Z; Lai, MC; He, G; Zhao, H, An augmented method for free boundary problems with moving contact lines,
Computers & Fluids, vol. 39 no. 6
(June, 2010),
pp. 10331040, Elsevier BV [doi]
 Zhao, SLAH, Gaussian Beam Summation for Diffraction in Inhomogeneous Media Based on the Grid Based Particle Method,
Communications in Computational Physics, vol. 8 no. 4
(June, 2010),
pp. 758796, Global Science Press [doi]
 Benamou, JD, A Compact Upwind Second Order Scheme for the Eikonal Equation,
Journal of Computational Mathematics, vol. 28 no. 4
(June, 2010),
pp. 489516, Global Science Press [doi]
 Gao, H; Zhao, H, Multilevel bioluminescence tomography
based on radiative transfer equation
Part 2: total variation and l1 data fidelity,
Optics Express, vol. 18 no. 3
(February, 2010),
pp. 28942894, The Optical Society [doi]
 Gao, H; Zhao, H, Multilevel bioluminescence tomography based on radiative transfer equation Part 1: l1 regularization,
Optics Express, vol. 18 no. 3
(February, 2010),
pp. 18541854, The Optical Society [doi]
 Leung, S; Zhao, H, A grid based particle method for evolution of open curves and surfaces,
Journal of Computational Physics, vol. 228 no. 20
(November, 2009),
pp. 77067728, Elsevier BV [doi]
 Gao, H; Zhao, H, A FastForward Solver of Radiative Transfer Equation,
Transport Theory and Statistical Physics, vol. 38 no. 3
(September, 2009),
pp. 149192, Informa UK Limited [doi]
 Fomel, S; Luo, S; Zhao, H, Fast sweeping method for the factored eikonal equation,
Journal of Computational Physics, vol. 228 no. 17
(September, 2009),
pp. 64406455, Elsevier BV [doi]
 Xi, Y; Duan, Y; Zhao, H, A nonparametric approach for noisy point data preprocessing,
2009 11th Ieee International Conference on Computer Aided Design and Computer Graphics
(August, 2009), IEEE [doi]
 Gao, H; Zhao, H, A multilevel and multigrid optical tomography based on radiative transfer equation,
Diffuse Optical Imaging Ii
(July, 2009), SPIE [doi]
 Leung, S; Zhao, H, A grid based particle method for moving interface problems,
Journal of Computational Physics, vol. 228 no. 8
(May, 2009),
pp. 29933024, Elsevier BV [doi]
 Cai, Q; Wang, J; Zhao, HK; Luo, R, On removal of charge singularity in Poisson–Boltzmann equation,
The Journal of Chemical Physics, vol. 130 no. 14
(April, 2009),
pp. 145101145101, AIP Publishing [doi]
 Leung, S; Liang, G; Solna, K; Zhao, H, ExpectationMaximization Algorithm with Local Adaptivity,
Siam Journal on Imaging Sciences, vol. 2 no. 3
(January, 2009),
pp. 834857, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Wang, J; Cai, Q; Li, ZL; Zhao, HK; Luo, R, Achieving energy conservation in Poisson–Boltzmann molecular dynamics: Accuracy and precision with finitedifference algorithms,
Chemical Physics Letters, vol. 468 no. 46
(January, 2009),
pp. 112118, Elsevier BV [doi]
 Hou, S; Huang, K; Solna, K; Zhao, H, A phase and space coherent direct imaging method,
The Journal of the Acoustical Society of America, vol. 125 no. 1
(January, 2009),
pp. 227238, Acoustical Society of America (ASA) [doi]
 Li, F; Shu, CW; Zhang, YT; Zhao, H, A second order discontinuous Galerkin fast sweeping method for Eikonal equations,
Journal of Computational Physics, vol. 227 no. 17
(September, 2008),
pp. 81918208, Elsevier BV [doi]
 Chung, E; Qian, J; Uhlmann, G; Zhao, HK, A phasespace formulation for elasticwave traveltime tomography,
Journal of Physics: Conference Series, vol. 124
(July, 2008),
pp. 012018012018, IOP Publishing [doi]
 Zhao, H, Time reversal based direct imaging methods,
in Mathematical Methods in Biomedical Imaging and IntensityModulated Radiation Therapy (IMRT), edited by Censor, Y; Jiang, M; Louis, A
(2008),
pp. 505521, SPRINGER
 Hou, S; Solna, K; Zhao, H, A direct imaging method using farfield data,
Inverse Problems, vol. 23 no. 4
(August, 2007),
pp. 15331546, IOP Publishing [doi]
 Qian, J; Zhang, YT; Zhao, HK, A Fast Sweeping Method for Static Convex Hamilton–Jacobi Equations,
Journal of Scientific Computing, vol. 31 no. 12
(April, 2007),
pp. 237271, Springer Science and Business Media LLC [doi]
 Chung, E; Qian, J; Uhlmann, G; Zhao, H, A new phase space method for recovering index of refraction from travel times,
Inverse Problems, vol. 23 no. 1
(February, 2007),
pp. 309329, IOP Publishing [doi]
 Qian, J; Zhang, Y; Zhao, H, Fast Sweeping Methods for Eikonal Equations on Triangular Meshes,
Siam Journal on Numerical Analysis, vol. 45 no. 1
(January, 2007),
pp. 83107, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Zhao, H, Parallel Implementation of Fast Sweeping Method,
Journal of Computational Mathematics, vol. 25 no. 4
(2007),
pp. 421429
 Zhang, YT; Zhao, HK; Qian, J, High Order Fast Sweeping Methods for Static Hamilton–Jacobi Equations,
Journal of Scientific Computing, vol. 29 no. 1
(October, 2006),
pp. 2556, Springer Science and Business Media LLC [doi]
 Hou, S; Solna, K; Zhao, H, A direct imaging algorithm for extended targets,
Inverse Problems, vol. 22 no. 4
(August, 2006),
pp. 11511178, IOP Publishing [doi]
 Huang, K; Papanicolaou, G; Solna, K; Tsogka, C; Zhao, H, Efficient numerical simulation for long range wave propagation,
Journal of Computational Physics, vol. 215 no. 2
(July, 2006),
pp. 448464, Elsevier BV [doi]
 Xu, JJ; Li, Z; Lowengrub, J; Zhao, H, A levelset method for interfacial flows with surfactant,
Journal of Computational Physics, vol. 212 no. 2
(March, 2006),
pp. 590616, Elsevier BV [doi]
 Chen, S; Zhang, YT; Zhao, HK, Fixedpoint Iterative Sweeping Methods for Static HamiltonJacobi Equations,
Methods and Applications of Analysis, vol. 13 no. 3
(2006),
pp. 299320, International Press of Boston [doi]
 Zhao, H; Lu, D; Jiang, M; Zhou, T, A Surface Reconstruction Method for Highly Noisy Point Clouds,
International Workshop on Variational, Geometric, and Level Set Methods in Computer Vision
(2006),
pp. 283294, SpingerVerlag
 Xi, Y; Heckenberg, G; Duan, Y; Zhao, H, A new modeling algorithm for implicit surface polygonalization,
Vision Geometry Xiii
(January, 2005), SPIE [doi]
 Peternell, M; Pottmann, H; Steiner, T; Zhao, H, Swept Volumes,
Computer Aided Design and Applications, vol. 2 no. 5
(January, 2005),
pp. 599608, CAD Solutions, LLC [doi]
 Hou, S; Solna, K; Zhao, H, Imaging of location and geometry for extended targets using the response matrix,
Journal of Computational Physics, vol. 199 no. 1
(September, 2004),
pp. 317338, Elsevier BV [doi]
 Zhao, H, A fast sweeping method for Eikonal equations,
Mathematics of Computation, vol. 74 no. 250
(May, 2004),
pp. 603628, American Mathematical Society (AMS) [doi]
 Zhao, H, Analysis of the Response Matrix for an Extended Target,
Siam Journal on Applied Mathematics, vol. 64 no. 3
(January, 2004),
pp. 725745, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Huang, K; Solna, K; Zhao, H, Coupled Parabolic Equations for Wave Propagation,
Methods and Applications of Analysis, vol. 11 no. 3
(2004),
pp. 399412, International Press of Boston [doi]
 Tsai, YHR; Cheng, LT; Osher, S; Zhao, HK, Fast Sweeping Algorithms for a Class of HamiltonJacobi Equations,
Siam Journal on Numerical Analysis, vol. 41 no. 2
(January, 2003),
pp. 673694, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Li, Z; Lin, X; Torres, M; Zhao, H, Generalized Snell's Law for Weighted Minimal Surface in Heterogeneous Media,
Methods and Applications of Analysis, vol. 10 no. 2
(2003),
pp. 199214, International Press of Boston [doi]
 Zhao, H; Xu, J, An Eulerian formulation for solving partial differential equations along a moving interface,
Journal of Scientific Computing, vol. 19 no. 13
(2003),
pp. 573594, Springer (part of Springer Nature)
 Zhao, H; Osher, S, Visualization, Analysis and Shape Reconstruction of Unorganized Data Sets,
in Geometric Level Set Methods in Imaging, Vision and Graphics, edited by Osher, S; Paragios, N
(2003),
pp. 361380
 Hunter, JK; Li, Z; Zhao, H, Reactive Autophobic Spreading of Drops,
Journal of Computational Physics, vol. 183 no. 2
(December, 2002),
pp. 335366, Elsevier BV [doi]
 Blomgren, P; Papanicolaou, G; Zhao, H, Superresolution in timereversal acoustics,
The Journal of the Acoustical Society of America, vol. 111 no. 1
(January, 2002),
pp. 230248, Acoustical Society of America (ASA) [doi]
 Zhao, H; Gander, M, Overlapping Schwarz Waveform Relaxation for the Heat Equation in n Dimensions,
Bit, vol. 42 no. 4
(2002),
pp. 779795, Springer (part of Springer Nature)
 Zhao, HK; Osher, S; Merriman, B; Kang, M, Implicit and Nonparametric Shape Reconstruction from Unorganized Data Using a Variational Level Set Method,
Computer Vision and Image Understanding, vol. 80 no. 3
(December, 2000),
pp. 295314, Elsevier BV [doi]
 Peng, D; Merriman, B; Osher, S; Zhao, H; Kang, M, A PDEBased Fast Local Level Set Method,
Journal of Computational Physics, vol. 155 no. 2
(November, 1999),
pp. 410438, Elsevier BV [doi]
 Li, Z; Zhao, H; Gao, H, A Numerical Study of Electromigration Voiding by Evolving Level Set Functions on a Fixed Cartesian Grid,
Journal of Computational Physics, vol. 152 no. 1
(June, 1999),
pp. 281304, Elsevier BV [doi]
 Engquist, B; Zhao, HK, Absorbing boundary conditions for domain decomposition,
Applied Numerical Mathematics, vol. 27 no. 4
(August, 1998),
pp. 341365, Elsevier BV [doi]
 Zhao, HK; Merriman, B; Osher, S; Wang, L, Capturing the Behavior of Bubbles and Drops Using the Variational Level Set Approach,
Journal of Computational Physics, vol. 143 no. 2
(July, 1998),
pp. 495518, Elsevier BV [doi]
 Zhao, H; Peng, D; Osher, S; Merriman, B, The Geometry of Wulff Crystal Shapes and Its Relations with Riemann Problems,
Surveys on Discrete and Computational Geometry: Twenty Years Later, vol. 238
(1998),
pp. 251303, American Mathematical Society
 Hou, TY; Li, Z; Osher, S; Zhao, H, A Hybrid Method for Moving Interface Problems with Application to the Hele–Shaw Flow,
Journal of Computational Physics, vol. 134 no. 2
(July, 1997),
pp. 236252, Elsevier BV [doi]
 Zhao, HK; Chan, T; Merriman, B; Osher, S, A Variational Level Set Approach to Multiphase Motion,
Journal of Computational Physics, vol. 127 no. 1
(August, 1996),
pp. 179195, Elsevier BV [doi]


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fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

