Hongkai Zhao | Academic Influence

Hongkai Zhao's AcademicInfluence.com Rankings

Hongkai Zhao

Mathematics

#5907

World Rank

#8265

Historical Rank

Number Theory

#291

World Rank

#362

Historical Rank

Algebra

#420

World Rank

#574

Historical Rank

Measure Theory

#2650

World Rank

#3170

Historical Rank

mathematics Degrees

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Mathematics

Hongkai Zhao's Degrees

PhD Mathematics Peking University
Bachelors Mathematics Peking University

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Why Is Hongkai Zhao Influential?

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According to Wikipedia, Hongkai Zhao is a Chinese mathematician and Ruth F. DeVarney Distinguished Professor of Mathematics at Duke University. He was formerly the Chancellor's Professor in the Department of Mathematics at the University of California, Irvine. He is known for his work in scientific computing, imaging and numerical analysis, such as the fast sweeping method for Hamilton-Jacobi equation and numerical methods for moving interface problems.

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Hongkai Zhao's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A Variational Level Set Approach to Multiphase Motion (1996) (1213)
Regular Article: A PDE-Based Fast Local Level Set Method (1999) (1036)
A fast sweeping method for Eikonal equations (2004) (990)
A PDE-Based Fast Local Level Set Method 1 (1998) (875)
Fast surface reconstruction using the level set method (2001) (471)
Fast Sweeping Algorithms for a Class of Hamilton-Jacobi Equations (2003) (468)
Super-resolution in time-reversal acoustics. (2002) (354)
Implicit and Nonparametric Shape Reconstruction from Unorganized Data Using a Variational Level Set Method (2000) (307)
A Hybrid Method for Moving Interface Problems with Application to the Hele-Shaw Flow (1997) (274)
An Eulerian Formulation for Solving Partial Differential Equations Along a Moving Interface (2003) (241)
High Order Fast Sweeping Methods for Static Hamilton–Jacobi Equations (2006) (221)
A level-set method for interfacial flows with surfactant (2006) (207)
Fast Sweeping Methods for Eikonal Equations on Triangular Meshes (2007) (171)
Robust principal component analysis-based four-dimensional computed tomography (2011) (152)
A Fast Sweeping Method for Static Convex Hamilton–Jacobi Equations (2007) (149)
Fast sweeping method for the factored eikonal equation (2009) (132)
Multilevel bioluminescence tomography based on radiative transfer equation Part 1: l1 regularization. (2010) (120)
A direct imaging algorithm for extended targets (2006) (116)
Cine Cone Beam CT Reconstruction Using Low-Rank Matrix Factorization: Algorithm and a Proof-of-Principle Study (2012) (111)
An Efficient Neumann Series-Based Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed (2011) (110)
A Fast-Forward Solver of Radiative Transfer Equation (2009) (107)
A Numerical Study of Electro-migration Voiding by Evolving Level Set Functions on a Fixed Cartesian Grid (1999) (91)
Capturing the Behavior of Bubbles and Drops Using the Variational Level Set Approach (1998) (87)
Multilevel bioluminescence tomography based on radiative transfer equation part 2: total variation and l1 data fidelity. (2010) (86)
Absorbing boundary conditions for domain decomposition (1998) (82)
A grid based particle method for moving interface problems (2009) (82)
Solving Partial Differential Equations on Point Clouds (2013) (78)
A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion (2011) (74)
Quantitative Photoacoustic Tomography (2012) (73)
A local mesh method for solving PDEs on point clouds (2013) (68)
A second order discontinuous Galerkin fast sweeping method for Eikonal equations (2008) (67)
Imaging of location and geometry for extended targets using the response matrix (2004) (65)
Overlapping Schwarz Waveform Relaxation for the Heat Equation in N Dimensions (2002) (59)
A weak formulation for solving elliptic interface problems without body fitted grid (2013) (59)
A phase and space coherent direct imaging method. (2009) (52)
Point Cloud Segmentation and Denoising via Constrained Nonlinear Least Squares Normal Estimates (2013) (52)
Analysis of the Response Matrix for an Extended Target (2004) (51)
Geometric understanding of point clouds using Laplace-Beltrami operator (2012) (50)
Achieving Energy Conservation in Poisson-Boltzmann Molecular Dynamics: Accuracy and Precision with Finite-Difference Algorithms. (2009) (48)
On removal of charge singularity in Poisson-Boltzmann equation. (2009) (47)
The Geometry of Wulff Crystal Shapes and Its Relations with Riemann Problems (1998) (43)
Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations (2011) (43)
A Hybrid Reconstruction Method for Quantitative PAT (2013) (42)
Exploring accurate Poisson-Boltzmann methods for biomolecular simulations. (2013) (40)
Higher-order schemes for 3D first-arrival traveltimes and amplitudes (2012) (38)
Bregman methods in quantitative photoacoustic tomography (2010) (37)
Reactive autophobic spreading of drops (2002) (37)
Fixed-point iterative sweeping methods for static hamilton-Jacobi Equations (2006) (36)
Approximate Separability of the Green's Function of the Helmholtz Equation in the High Frequency Limit (2018) (34)
A direct imaging method using far-field data (2007) (33)
An augmented method for free boundary problems with moving contact lines (2010) (31)
Implicit, Nonparametric Shape Reconstruction from Unorganized Points Using A Variational Level Set M (1998) (30)
Numerical Poisson-Boltzmann Model for Continuum Membrane Systems. (2013) (30)
A Surface Reconstruction Method for Highly Noisy Point Clouds (2005) (30)
Robust and Efficient Implicit Surface Reconstruction for Point Clouds Based on Convexified Image Segmentation (2013) (30)
Generalized Foldy-Lax formulation (2010) (29)
5D respiratory motion model based image reconstruction algorithm for 4D cone-beam computed tomography (2015) (29)
A grid based particle method for evolution of open curves and surfaces (2009) (28)
Hamiltonian Monte Carlo acceleration using surrogate functions with random bases (2015) (27)
Overlapping Schwarz Waveform Relaxation for Parabolic Problems in Higher Dimensions (1997) (26)
Visualization, Analysis and Shape Reconstruction of Unorganized Data Sets (2007) (25)
A New Approximation for Effective Hamiltonians for Homogenization of a class of Hamilton-Jacobi Equations (2011) (25)
Multi-scale Non-Rigid Point Cloud Registration Using Robust Sliced-Wasserstein Distance via Laplace-Beltrami Eigenmap (2014) (25)
Analysis of a numerical solver for radiative transport equation (2012) (24)
Robust principle component analysis based four-dimensional computed tomography (2010) (21)
Fast Alternating BiDirectional Preconditioner for the 2D High-Frequency Lippmann-Schwinger Equation (2016) (20)
An efficient algorithm for the generalized Foldy-Lax formulation (2013) (20)
Exploring a charge-central strategy in the solution of Poisson's equation for biomolecular applications. (2013) (18)
A new phase space method for recovering index of refraction from travel times (2007) (18)
A static PDE Approach for MultiDimensional Extrapolation Using Fast Sweeping Methods (2014) (18)
Learning dominant wave directions for plane wave methods for high-frequency Helmholtz equations (2016) (18)
Computation of Quasi-Conformal Surface Maps Using Discrete Beltrami Flow (2014) (17)
Approximate Separability of Green's Function for High Frequency Helmholtz Equations (2014) (17)
Gaussian Beam Summation for Diffraction in Inhomogeneous Media Based on the Grid Based Particle Method (2010) (16)
Precomputing strategy for Hamiltonian Monte Carlo method based on regularity in parameter space (2015) (16)
An adaptive phase space method with application to reflection traveltime tomography (2011) (15)
Autophobic spreading of drops (1999) (15)
Numerical Study of Surfactant-Laden Drop-Drop Interactions (2011) (15)
Instability of an Inverse Problem for the Stationary Radiative Transport Near the Diffusion Limit (2018) (15)
Variational Hamiltonian Monte Carlo via Score Matching (2016) (14)
A Multi-Scale Method for Dynamics Simulation in Continuum Solvent Models I: Finite-Difference Algorithm for Navier-Stokes Equation. (2014) (14)
Partially Blind Deblurring of Barcode from Out-of-Focus Blur (2014) (14)
Determining scattering support of anisotropic acoustic mediums and obstacles (2015) (13)
Bioluminescence tomography with Gaussian prior (2010) (13)
A cell based particle method for modeling dynamic interfaces (2014) (13)
A Direct Imaging Method for Inverse Scattering Using the Generalized Foldy-Lax Formulation (2014) (13)
Marchenko–Pastur law with relaxed independence conditions (2019) (13)
Quantitative Fluorescence Photoacoustic Tomography (2013) (12)
A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media (2017) (11)
TWO FFT SUBSPACE-BASED OPTIMIZATION METHODS FOR ELECTRICAL IMPEDANCE TOMOGRAPHY (2016) (11)
Computing Surface Uniformization Using Discrete Beltrami Flow (2015) (11)
A New Numerical Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed (2011) (11)
Multiscale Nonrigid Point Cloud Registration Using Rotation-Invariant Sliced-Wasserstein Distance via Laplace-Beltrami Eigenmap (2017) (11)
A data-driven approach for multiscale elliptic PDEs with random coefficients based on intrinsic dimension reduction (2019) (9)
A semi-implicit augmented IIM for Navier-Stokes equations with open, traction, or free boundary conditions (2015) (9)
Efficient numerical simulation for long range wave propagation (2006) (9)
Convergence analysis of the fast sweeping method for static convex Hamilton–Jacobi equations (2016) (9)
A Dual Iterative Refinement Method for Non-rigid Shape Matching (2020) (8)
Modified Virtual Grid Difference for Discretizing the Laplace-Beltrami Operator on Point Clouds (2016) (8)
The Fast Sweeping Method (2007) (8)
A semi-implicit augmented IIM for Navier-Stokes equations with open and traction boundary conditions (2013) (8)
A phase-space formulation for elastic-wave traveltime tomography (2008) (7)
Coupled Parabolic Equations for Wave Propagation (2004) (7)
Analysis of generalized Schwarz alternating procedure for domain decomposition (1996) (7)
Real-Time Adaptive Video Compression (2015) (6)
A Hybrid Adaptive Phase Space Method for Reflection Traveltime Tomography (2018) (6)
Hamiltonian Monte Carlo Acceleration Using Neural Network Surrogate functions (2015) (6)
Fully linear reconstruction method for fluorescence yield and lifetime through inverse complex-source formulation: simulation studies. (2010) (6)
Expectation-Maximization Algorithm with Local Adaptivity (2009) (5)
Visualization, Analysis and Shape Reconstruction of Sparse Data (2003) (5)
Euclidean skeletons using closest points (2011) (5)
Mathematics in image processing (2013) (5)
High Order Fast Sweeping Methods For Eikonal Equations (2004) (5)
How much can one learn a partial differential equation from its solution? (2022) (4)
Solving phase retrieval via graph projection splitting (2019) (4)
Generalized Snell's Law for Weighted Minimal Surface in Heterogeneous Media (2003) (3)
Separability of the kernel function in an integral formulation for anisotropic radiative transfer equation (2019) (3)
Model Classes, Approximation, and Metrics for Dynamic Processing of Urban Terrain Data (2013) (3)
Shipborne oceanic high-spectral-resolution lidar for accurate estimation of seawater depth-resolved optical properties (2022) (3)
Efficient and Robust Shape Correspondence via Sparsity-Enforced Quadratic Assignment (2020) (3)
A multilevel and multigrid optical tomography based on radiative transfer equation (2009) (3)
Variational Formulation For Motion Of Multiple Junctions And Interfaces By Level Set Approach (1994) (2)
Scalable Incremental Nonconvex Optimization Approach for Phase Retrieval (2018) (2)
Robust Inexact Alternating Optimization for Matrix Completion with Outliers (2020) (2)
Intrinsic Complexity and Scaling Laws: From Random Fields to Random Vectors (2018) (2)
Recent Developments in Numerical Methods for Nonlinear Hyperbolic Partial Differential Equations and their Applications (2008) (1)
Title Multilevel bioluminescence tomography based on radiative transfer equation Part 1 : l 1 regularization (2010) (1)
A Numerical Study of Electromigration Voidingby Evolving Level Set Functions on a FixedCartesian Grid (1999) (1)
PARALLEL IMPLEMENTATIONS OF THE FAST SWEEPING (2007) (1)
DETECTION AND IMAGING IN A STRONGLY CLUTTERED ENVIRONMENT (1)
Long distance time reversal and imaging in random media: Numerical simulations (2001) (1)
A data-driven and model-based accelerated Hamiltonian Monte Carlo method for Bayesian elliptic inverse problems (2021) (1)
Convergence analysis of the fast sweeping method for static convex Hamilton–Jacobi equations (2016) (0)
Simultaneous spatiotemporal target segmentation and motion estimation in a variational formulation (1999) (0)
Title Imaging of location and geometry for extended targets using the response matrix Permalink (2004) (0)
Recovering bioluminescent source in Gaussians (2010) (0)
DROPLET SPREADING WITH SURFACTANT: MODELING AND SIMULATION (2002) (0)
Learning dominant wave directions for plane wave methods for high-frequency Helmholtz equations (2017) (0)
Non-rigid Objects Recognition Using Laplace Beltrami Eigensystem (2014) (0)
Four Lower Division Student Research Topics: Preliminary Materials from UCI's Interdisciplinary Computational Applied Mathematics Program (iCamp) (2010) (0)
Hamiltonian Monte Carlo acceleration using surrogate functions with random bases (2016) (0)
Mathematics in Biomedical Imaging (2007) (0)
Solving PDEs on manifolds represented as point clouds and applications (2019) (0)
Foreword: Special Issue dedicated to Numerical Methods for Viscosity Solutions and Applications (2013) (0)
How much can one learn from a single solution of a PDE? (2022) (0)
Dedicated to Professor George Papanicolaou on the occasion of his 60th birthday (2005) (0)
Robust Adaptive Cubature Kalman Filter for Attitude Determination in Wearable Inertial Sensor Networks (2022) (0)
Non-equilibrium turbulent phenomena in the flow over a backward-facing ramp (2019) (0)
Quantitative PAT with simplified P N approximation (2020) (0)
Numerical Study of Surfactant-Laden Drop-Drop 2 Interactions 3 (2011) (0)
A weak formulation for the multiphase Stokes flow problem without body fitting grids (2018) (0)
BIRS worshop 15w5067: Advances in Numerical Optimal Transportation (2015) (0)
Description of inverse energy cascade in homogeneous isotropic turbulence using an eigenvalue method (2021) (0)
Precomputing strategy for Hamiltonian Monte Carlo method based on regularity in parameter space (2016) (0)
A fast algorithm for time-dependent radiative transport equation based on integral formulation (2020) (0)
ABSORBING BOUNDARY CONDITIONS FOR DOMAINDECOMPOSITIONBJORN ENGQUIST (1997) (0)

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What Schools Are Affiliated With Hongkai Zhao?

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