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Publications of Hongkai Zhao    :chronological  alphabetical  combined  bibtex listing:

Papers Published

  1. 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]
  2. Zhao, H; Li, J, Scalable Incremental Nonconvex Optimization Approach for Phase Retrieval, Journal of Scientific Computing (2021), Springer (part of Springer Nature)
  3. Zhong, Y; Zhao, H, A Fast Algorithm for Time-Dependent Radiative Transport Equation Based on Integral Formulation, Csiam Transactions on Applied Mathematics, vol. 1 no. 2 (June, 2020), pp. 346-364, Global Science Press [doi]
  4. Li, J; Zhao, H, Robust Inexact Alternating Optimization for Matrix Completion with Outliers, Journal of Computational Mathematics, vol. 38 no. 2 (June, 2020), pp. 337-354, Global Science Press [doi]
  5. Li, J; Zhao, H, Solving phase retrieval via graph projection splitting, Inverse Problems, vol. 36 no. 5 (May, 2020), pp. 055003-055003, IOP Publishing [doi]
  6. Li, S; Zhang, Z; Zhao, H, A Data-Driven Approach for Multiscale Elliptic PDEs with Random Coefficients Based on Intrinsic Dimension Reduction, Multiscale Modeling & Simulation, vol. 18 no. 3 (January, 2020), pp. 1242-1271, Society for Industrial & Applied Mathematics (SIAM) [doi]
  7. Zhao, H; Lai, R; Xiang, R, Efficient and robust shape correspondence via sparsity-enforced quadratic assignment, Proceedings of the Ieee Computer Society Conference on Computer Vision and Pattern Recognition, vol. 1 (2020), pp. 9510-9519, IEEE [doi]
  8. Li, H; Zhao, H; Li, H, Neural-Response-Based Extreme Learning Machine for Image Classification, Ieee Transactions on Neural Networks and Learning Systems, vol. 30 no. 2 (February, 2019), pp. 539-552, Institute of Electrical and Electronics Engineers (IEEE) [doi]
  9. 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. 28-53 [doi]  [abs]
  10. 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. 460-481 [doi]  [abs]
  11. 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. 3750-3768, Society for Industrial & Applied Mathematics (SIAM) [doi]
  12. Lai, R; Zhao, H, Solving PDEs on manifolds represented as point clouds and applications, Handbook of Numerical Analysis (2019), pp. 315-349, Elsevier, ISBN 9780444641403 [doi]
  13. 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. 2220-2274, WILEY [doi]
  14. Fang, J; Qian, J; Zepeda-Núñez, L; Zhao, H, A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media, Journal of Computational Physics, vol. 371 (October, 2018), pp. 261-279, Elsevier BV [doi]
  15. Zhang, C; Shahbaba, B; Zhao, H, Variational Hamiltonian Monte Carlo via Score Matching, Bayesian Analysis, vol. 13 no. 2 (June, 2018), pp. 485-506, Institute of Mathematical Statistics [doi]
  16. Wang, M; Leung, S; Zhao, H, Modified Virtual Grid Difference for Discretizing the Laplace--Beltrami Operator on Point Clouds, Siam Journal on Scientific Computing, vol. 40 no. 1 (January, 2018), pp. A1-A21, Society for Industrial & Applied Mathematics (SIAM) [doi]
  17. 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. 131-159, International Press of Boston [doi]
  18. Fang, J; Qian, J; Zepeda-Núñez, L; Zhao, H, Learning dominant wave directions for plane wave methods for high-frequency Helmholtz equations, Research in the Mathematical Sciences, vol. 4 no. 1 (December, 2017), Springer Science and Business Media LLC [doi]
  19. 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. 1473-1490, Springer Science and Business Media LLC [doi]
  20. 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. 253-279, Springer Science and Business Media LLC [doi]
  21. Lai, R; Zhao, H, Multiscale Nonrigid Point Cloud Registration Using Rotation-Invariant Sliced-Wasserstein Distance via Laplace--Beltrami Eigenmap, Siam Journal on Imaging Sciences, vol. 10 no. 2 (January, 2017), pp. 449-483, Society for Industrial & Applied Mathematics (SIAM) [doi]
  22. 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]
  23. Zepeda-Nún͂ez, L; Zhao, H, Fast Alternating BiDirectional Preconditioner for the 2D High-Frequency Lippmann--Schwinger Equation, Siam Journal on Scientific Computing, vol. 38 no. 5 (January, 2016), pp. B866-B888, Society for Industrial & Applied Mathematics (SIAM) [doi]
  24. Zhao, H; Liang, J; Lai, R; Wong, TW, Geometric Understanding of Point Clouds Using Laplace-Beltrami Operator, Proceedings of the Ieee Computer Society Conference on Computer Vision and Pattern Recognition (2016), pp. 214-221, IEEE
  25. Zhao, H, The Fast Sweeping Method for Stationary Hamilton–Jacobi Equations, Handbook of Numerical Analysis (2016), pp. 585-601, Elsevier, ISBN 9780444637895 [doi]
  26. 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 cone-beam computed tomography, Inverse Problems, vol. 31 no. 11 (November, 2015), pp. 115007-115007, IOP Publishing [doi]
  27. Li, Z; Xiao, L; Cai, Q; Zhao, H; Luo, R, A semi-implicit augmented IIM for Navier–Stokes equations with open, traction, or free boundary conditions, Journal of Computational Physics, vol. 297 (September, 2015), pp. 182-193, Elsevier BV [doi]
  28. Schaeffer, H; Yang, Y; Zhao, H; Osher, S, Real-Time Adaptive Video Compression, Siam Journal on Scientific Computing, vol. 37 no. 6 (January, 2015), pp. B980-B1001, Society for Industrial & Applied Mathematics (SIAM) [doi]
  29. Wong, TW; Zhao, H-K, Computing Surface Uniformization Using Discrete Beltrami Flow, Siam Journal on Scientific Computing, vol. 37 no. 3 (January, 2015), pp. A1342-A1364, Society for Industrial & Applied Mathematics (SIAM) [doi]
  30. 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. 987-1000, International Press of Boston [doi]
  31. Xiao, L; Cai, Q; Li, Z; Zhao, H; Luo, R, A multi-scale method for dynamics simulation in continuum solvent models. I: Finite-difference algorithm for Navier–Stokes equation, Chemical Physics Letters, vol. 616-617 (November, 2014), pp. 67-74, Elsevier BV [doi]
  32. Hon, SY; Leung, S; Zhao, H, A cell based particle method for modeling dynamic interfaces, Journal of Computational Physics, vol. 272 (September, 2014), pp. 279-306, Elsevier BV [doi]
  33. Cai, J-F; Jia, X; Gao, H; Jiang, SB; Shen, Z; Zhao, H, Cine Cone Beam CT Reconstruction Using Low-Rank Matrix Factorization: Algorithm and a Proof-of-Principle Study, Ieee Transactions on Medical Imaging, vol. 33 no. 8 (August, 2014), pp. 1581-1591, Institute of Electrical and Electronics Engineers (IEEE) [doi]
  34. 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. A2907-A2928, Society for Industrial & Applied Mathematics (SIAM) [doi]
  35. Wong, TW; Zhao, H-K, Computation of Quasi-Conformal Surface Maps Using Discrete Beltrami Flow, Siam Journal on Imaging Sciences, vol. 7 no. 4 (January, 2014), pp. 2675-2699, Society for Industrial & Applied Mathematics (SIAM) [doi]
  36. Lou, Y; Esser, E; Zhao, H; Xin, J, Partially Blind Deblurring of Barcode from Out-of-Focus Blur, Siam Journal on Imaging Sciences, vol. 7 no. 2 (January, 2014), pp. 740-760, Society for Industrial & Applied Mathematics (SIAM) [doi]
  37. 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. 49-70, American Mathematical Society [doi]
  38. Wang, C; Wang, J; Cai, Q; Li, Z; Zhao, H-K; Luo, R, Exploring accurate Poisson–Boltzmann methods for biomolecular simulations, Computational and Theoretical Chemistry, vol. 1024 (November, 2013), pp. 34-44, Elsevier BV [doi]
  39. 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. 80-95, Elsevier BV [doi]
  40. Huang, K; Li, P; Zhao, H, An efficient algorithm for the generalized Foldy–Lax formulation, Journal of Computational Physics, vol. 234 (February, 2013), pp. 376-398, Elsevier BV [doi]
  41. 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. 2-3 (February, 2013), pp. 577-602, Springer Science and Business Media LLC [doi]
  42. Ren, K; Zhao, H, Quantitative Fluorescence Photoacoustic Tomography, Siam Journal on Imaging Sciences, vol. 6 no. 4 (January, 2013), pp. 2404-2429, Society for Industrial & Applied Mathematics (SIAM) [doi]
  43. Liang, J; Zhao, H, Solving Partial Differential Equations on Point Clouds, Siam Journal on Scientific Computing, vol. 35 no. 3 (January, 2013), pp. A1461-A1486, Society for Industrial & Applied Mathematics (SIAM) [doi]
  44. Botello-Smith, 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. 274-281, Elsevier BV [doi]
  45. 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. 32-55, Society for Industrial & Applied Mathematics (SIAM) [doi]
  46. Liu, X; Wang, C; Wang, J; Li, Z; Zhao, H; Luo, R, Exploring a charge-central strategy in the solution of Poisson's equation for biomolecular applications, Physical Chemistry Chemical Physics : Pccp, vol. 15 no. 1 (2013), pp. 129-141, Royal Society of Chemistry (RSC) [doi]
  47. Lai, R; Liang, J; Zhao, H-K, A local mesh method for solving PDEs on point clouds, Inverse Problems & Imaging, vol. 7 no. 3 (2013), pp. 737-755, American Institute of Mathematical Sciences (AIMS) [doi]
  48. Innovations for Shape Analysis (2013), Springer Berlin Heidelberg, ISBN 9783642341403 [doi]
  49. Gao, H; Zhao, H, Analysis of a numerical solver for radiative transport equation, Mathematics of Computation, vol. 82 no. 281 (April, 2012), pp. 153-172, American Mathematical Society (AMS) [doi]
  50. Luo, S; Qian, J; Zhao, H, Higher-order schemes for 3D first-arrival traveltimes and amplitudes, Geophysics, vol. 77 no. 2 (March, 2012), pp. T47-T56, Society of Exploration Geophysicists [doi]  [abs]
  51. Mathematical Modeling in Biomedical Imaging II (2012), Springer Berlin Heidelberg, ISBN 9783642229893 [doi]
  52. 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. 115002-115002, IOP Publishing [doi]
  53. Xu, J-J; Li, Z; Lowengrub, J; Zhao, H, Numerical Study of Surfactant-Laden Drop-Drop Interactions, Communications in Computational Physics, vol. 10 no. 2 (August, 2011), pp. 453-473, Global Science Press [doi]  [abs]
  54. Gao, H; Cai, J-F; Shen, Z; Zhao, H, Robust principal component analysis-based four-dimensional computed tomography, Physics in Medicine and Biology, vol. 56 no. 11 (June, 2011), pp. 3181-3198, IOP Publishing [doi]
  55. 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. 711-734, Society for Industrial & Applied Mathematics (SIAM) [doi]
  56. 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. 2540-2561, Elsevier BV [doi]
  57. 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. 850-883, Society for Industrial & Applied Mathematics (SIAM) [doi]
  58. Zhang, Y-T; Chen, S; Li, F; Zhao, H; Shu, C-W, Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations, Siam Journal on Scientific Computing, vol. 33 no. 4 (January, 2011), pp. 1873-1896, Society for Industrial & Applied Mathematics (SIAM) [doi]
  59. Luo, S; J. Guibas, L; Zhao, H-K, Euclidean skeletons using closest points, Inverse Problems & Imaging, vol. 5 no. 1 (2011), pp. 95-113, American Institute of Mathematical Sciences (AIMS) [doi]
  60. Gao, H; Zhao, H; Cong, W; Wang, G, Bioluminescence tomography with Gaussian prior, Biomedical Optics Express, vol. 1 no. 5 (December, 2010), pp. 1259-1259, The Optical Society [doi]
  61. Huang, K; Solna, K; Zhao, H, Generalized Foldy-Lax formulation, Journal of Computational Physics, vol. 229 no. 12 (June, 2010), pp. 4544-4553, Elsevier BV [doi]
  62. Gao, H; Lin, Y; Gulsen, G; Zhao, H, Fully linear reconstruction method for fluorescence yield and lifetime through inverse complex-source formulation: simulation studies, Optics Letters, vol. 35 no. 11 (June, 2010), pp. 1899-1899, The Optical Society [doi]
  63. Li, Z; Lai, M-C; He, G; Zhao, H, An augmented method for free boundary problems with moving contact lines, Computers & Fluids, vol. 39 no. 6 (June, 2010), pp. 1033-1040, Elsevier BV [doi]
  64. 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. 758-796, Global Science Press [doi]
  65. Benamou, J-D, A Compact Upwind Second Order Scheme for the Eikonal Equation, Journal of Computational Mathematics, vol. 28 no. 4 (June, 2010), pp. 489-516, Global Science Press [doi]
  66. 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. 2894-2894, The Optical Society [doi]
  67. 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. 1854-1854, The Optical Society [doi]
  68. 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. 7706-7728, Elsevier BV [doi]
  69. Gao, H; Zhao, H, A Fast-Forward Solver of Radiative Transfer Equation, Transport Theory and Statistical Physics, vol. 38 no. 3 (September, 2009), pp. 149-192, Informa UK Limited [doi]
  70. 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. 6440-6455, Elsevier BV [doi]
  71. 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]
  72. Gao, H; Zhao, H, A multilevel and multigrid optical tomography based on radiative transfer equation, Diffuse Optical Imaging Ii (July, 2009), SPIE [doi]
  73. Leung, S; Zhao, H, A grid based particle method for moving interface problems, Journal of Computational Physics, vol. 228 no. 8 (May, 2009), pp. 2993-3024, Elsevier BV [doi]
  74. Cai, Q; Wang, J; Zhao, H-K; Luo, R, On removal of charge singularity in Poisson–Boltzmann equation, The Journal of Chemical Physics, vol. 130 no. 14 (April, 2009), pp. 145101-145101, AIP Publishing [doi]
  75. Leung, S; Liang, G; Solna, K; Zhao, H, Expectation-Maximization Algorithm with Local Adaptivity, Siam Journal on Imaging Sciences, vol. 2 no. 3 (January, 2009), pp. 834-857, Society for Industrial & Applied Mathematics (SIAM) [doi]
  76. Wang, J; Cai, Q; Li, Z-L; Zhao, H-K; Luo, R, Achieving energy conservation in Poisson–Boltzmann molecular dynamics: Accuracy and precision with finite-difference algorithms, Chemical Physics Letters, vol. 468 no. 4-6 (January, 2009), pp. 112-118, Elsevier BV [doi]
  77. 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. 227-238, Acoustical Society of America (ASA) [doi]
  78. Li, F; Shu, C-W; Zhang, Y-T; Zhao, H, A second order discontinuous Galerkin fast sweeping method for Eikonal equations, Journal of Computational Physics, vol. 227 no. 17 (September, 2008), pp. 8191-8208, Elsevier BV [doi]
  79. Chung, E; Qian, J; Uhlmann, G; Zhao, H-K, A phase-space formulation for elastic-wave traveltime tomography, Journal of Physics: Conference Series, vol. 124 (July, 2008), pp. 012018-012018, IOP Publishing [doi]
  80. Zhao, H, Time reversal based direct imaging methods, in Mathematical Methods in Biomedical Imaging and Intensity-Modulated Radiation Therapy (IMRT), edited by Censor, Y; Jiang, M; Louis, A (2008), pp. 505-521, SPRINGER
  81. Hou, S; Solna, K; Zhao, H, A direct imaging method using far-field data, Inverse Problems, vol. 23 no. 4 (August, 2007), pp. 1533-1546, IOP Publishing [doi]
  82. Qian, J; Zhang, Y-T; Zhao, H-K, A Fast Sweeping Method for Static Convex Hamilton–Jacobi Equations, Journal of Scientific Computing, vol. 31 no. 1-2 (April, 2007), pp. 237-271, Springer Science and Business Media LLC [doi]
  83. 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. 309-329, IOP Publishing [doi]
  84. 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. 83-107, Society for Industrial & Applied Mathematics (SIAM) [doi]
  85. Zhao, H, Parallel Implementation of Fast Sweeping Method, Journal of Computational Mathematics, vol. 25 no. 4 (2007), pp. 421-429
  86. Zhang, Y-T; Zhao, H-K; Qian, J, High Order Fast Sweeping Methods for Static Hamilton–Jacobi Equations, Journal of Scientific Computing, vol. 29 no. 1 (October, 2006), pp. 25-56, Springer Science and Business Media LLC [doi]
  87. Hou, S; Solna, K; Zhao, H, A direct imaging algorithm for extended targets, Inverse Problems, vol. 22 no. 4 (August, 2006), pp. 1151-1178, IOP Publishing [doi]
  88. 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. 448-464, Elsevier BV [doi]
  89. Xu, J-J; Li, Z; Lowengrub, J; Zhao, H, A level-set method for interfacial flows with surfactant, Journal of Computational Physics, vol. 212 no. 2 (March, 2006), pp. 590-616, Elsevier BV [doi]
  90. Chen, S; Zhang, Y-T; Zhao, H-K, Fixed-point Iterative Sweeping Methods for Static Hamilton-Jacobi Equations, Methods and Applications of Analysis, vol. 13 no. 3 (2006), pp. 299-320, International Press of Boston [doi]
  91. 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. 283-294, Spinger-Verlag
  92. Xi, Y; Heckenberg, G; Duan, Y; Zhao, H, A new modeling algorithm for implicit surface polygonalization, Vision Geometry Xiii (January, 2005), SPIE [doi]
  93. Peternell, M; Pottmann, H; Steiner, T; Zhao, H, Swept Volumes, Computer Aided Design and Applications, vol. 2 no. 5 (January, 2005), pp. 599-608, CAD Solutions, LLC [doi]
  94. 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. 317-338, Elsevier BV [doi]
  95. Zhao, H, A fast sweeping method for Eikonal equations, Mathematics of Computation, vol. 74 no. 250 (May, 2004), pp. 603-628, American Mathematical Society (AMS) [doi]
  96. Zhao, H, Analysis of the Response Matrix for an Extended Target, Siam Journal on Applied Mathematics, vol. 64 no. 3 (January, 2004), pp. 725-745, Society for Industrial & Applied Mathematics (SIAM) [doi]
  97. Huang, K; Solna, K; Zhao, H, Coupled Parabolic Equations for Wave Propagation, Methods and Applications of Analysis, vol. 11 no. 3 (2004), pp. 399-412, International Press of Boston [doi]
  98. Tsai, Y-HR; Cheng, L-T; Osher, S; Zhao, H-K, Fast Sweeping Algorithms for a Class of Hamilton--Jacobi Equations, Siam Journal on Numerical Analysis, vol. 41 no. 2 (January, 2003), pp. 673-694, Society for Industrial & Applied Mathematics (SIAM) [doi]
  99. 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. 199-214, International Press of Boston [doi]
  100. Zhao, H; Xu, J, An Eulerian formulation for solving partial differential equations along a moving interface, Journal of Scientific Computing, vol. 19 no. 1-3 (2003), pp. 573-594, Springer (part of Springer Nature)
  101. 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. 361-380
  102. Hunter, JK; Li, Z; Zhao, H, Reactive Autophobic Spreading of Drops, Journal of Computational Physics, vol. 183 no. 2 (December, 2002), pp. 335-366, Elsevier BV [doi]
  103. Blomgren, P; Papanicolaou, G; Zhao, H, Super-resolution in time-reversal acoustics, The Journal of the Acoustical Society of America, vol. 111 no. 1 (January, 2002), pp. 230-248, Acoustical Society of America (ASA) [doi]
  104. Zhao, H; Gander, M, Overlapping Schwarz Waveform Relaxation for the Heat Equation in n Dimensions, Bit, vol. 42 no. 4 (2002), pp. 779-795, Springer (part of Springer Nature)
  105. Zhao, H-K; 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. 295-314, Elsevier BV [doi]
  106. Peng, D; Merriman, B; Osher, S; Zhao, H; Kang, M, A PDE-Based Fast Local Level Set Method, Journal of Computational Physics, vol. 155 no. 2 (November, 1999), pp. 410-438, Elsevier BV [doi]
  107. Li, Z; Zhao, H; Gao, H, A Numerical Study of Electro-migration Voiding by Evolving Level Set Functions on a Fixed Cartesian Grid, Journal of Computational Physics, vol. 152 no. 1 (June, 1999), pp. 281-304, Elsevier BV [doi]
  108. Engquist, B; Zhao, H-K, Absorbing boundary conditions for domain decomposition, Applied Numerical Mathematics, vol. 27 no. 4 (August, 1998), pp. 341-365, Elsevier BV [doi]
  109. Zhao, H-K; 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. 495-518, Elsevier BV [doi]
  110. 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. 251-303, American Mathematical Society
  111. 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. 236-252, Elsevier BV [doi]
  112. Zhao, H-K; 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. 179-195, Elsevier BV [doi]

 

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