J. Qian

发表

Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions

Thomas C. Cecil, S. Osher, T. Cecil, 2004 .

Paraxial eikonal solvers for anisotropic quasi-P travel times

W. Symes, J. Qian, 2001 .

Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations

S. Osher, C. Kao, J. Qian, 2004 .

Finite‐difference quasi‐P traveltimes for anisotropic media

W. Symes, J. Qian, 2001 .

Higher-order schemes for 3D first-arrival traveltimes and amplitudes

Hongkai Zhao, J. Qian, S. Luo, 2012 .

Eulerian Gaussian Beams for High Frequency Wave Propagation

Shingyu Leung, J. Qian, R. Burridge, 2007 .

Learning dominant wave directions for plane wave methods for high-frequency Helmholtz equations

Hongkai Zhao, J. Qian, Leonardo Zepeda-Núñez, 2016, 1608.08871.

A staggered discontinuous Galerkin method for the simulation of seismic waves with surface topography

Eric T. Chung, Jianliang Qian, Chi Yeung Lam, 2015 .

A level-set method for imaging salt structures using gravity data

J. Qian, Wenbin Li, Wangtao Lu, 2016 .

A multiple level-set method for 3D inversion of magnetic data

J. Qian, Yaoguo Li, Wenbin Li, 2017 .

Joint inversion of surface and borehole magnetic data: A level-set approach

J. Qian, Yaoguo Li, Wenbin Li, 2020 .

A Fast Local Level Set Method for Inverse Gravimetry

Shingyu Leung, J. Qian, V. Isakov, 2011 .

The fundamental solution of the time-dependent system of crystal optics

J. Qian, R. Burridge, 2006, European Journal of Applied Mathematics.

A level set based Eulerian method for paraxial multivalued traveltimes

Shingyu Leung, J. Qian, 2004 .

A Level Set Method for Three-dimensional Paraxial Geometrical Optics with Multiple Sources

S. Osher, Shingyu Leung, J. Qian, 2004 .

A LEVEL SET METHOD FOR THREE-DIMENSIONAL PARAXIAL GEOMETRICAL OPTICS WITH MULTIPLE POINT SOURCES ⁄

S. Osher, Shingyu Leung, J. Qian, 2004 .

A level set-based Eulerian approach for anisotropic wave propagation

S. Osher, Li-Tien Cheng, J. Qian, 2003 .

A paraxial formulation for the viscosity solution of quasi-P eikonal equations

W. Symes, J. Qian, 2003 .

An Adjoint State Method for Numerical Approximation

Shingyu Leung, J. Qian, S. Luo, 2011 .

Min–max formulas and other properties of certain classes of nonconvex effective Hamiltonians

J. Qian, Yifeng Yu, H. Tran, 2017, 1701.01065.

Transmission traveltime tomography based on paraxial Liouville equations and level set formulations

Shingyu Leung, J. Qian, 2007 .

A Transmission Tomography Problem Based On Multiple Arrivals From Paraxial Liouville Equations

Shingyu Leung, J. Qian, 2005 .

An adaptive phase space method with application to reflection traveltime tomography

Eric T. Chung, Hongkai Zhao, J. Qian, 2011 .

Joint inversion of gravity and traveltime data using a level-set-based structural parameterization

Jianliang Qian, J. Qian, Wenbin Li, 2016 .

OPTIMAL DESIGN PROBLEMS IN THIN-FILM AND DIFFRACTIVE OPTICS

J. Qian, C. Yi, Yuliang Wang, 2013 .

A multiple level set method for three-dimensional inversion of magnetic data

J. Qian, Yaoguo Li, Wenbin Li, 2017 .

AN IMPROVED FAST LOCAL LEVEL SET METHOD FOR THREE-DIMENSIONAL INVERSE GRAVIMETRY

Shingyu Leung, J. Qian, Wangtao Lu, 2015 .

A THREE-DIMENSIONAL INVERSE GRAVIMETRY PROBLEM FOR ICE WITH SNOW CAPS

Shingyu Leung, J. Qian, V. Isakov, 2013 .

Fast Huygens sweeping methods for Schrödinger equations in the semi-classical regime

Shingyu Leung, J. Qian, S. Serna, 2014 .

A Convergent Multiscale Gaussian-Beam Parametrix for the Wave Equation

Lexing Ying, G. Bao, J. Qian, 2013 .

Babich ’ s formula and fast Huygens sweeping methods for Helmholtz equations in the high frequency regime

J. Qian, R. Burridge, S. Luo, 2014 .

Settlement Behavior of Soft Subgrade Reinforced by Geogrid-Encased Stone Column and Geocell-Embedded Sand Cushion: A Numerical Analysis

J. Qian, Hui Xu, L. Zhan, 2020, Advances in Civil Engineering.

Paraxial geometrical optics for quasi-P waves: theories and numerical methods

Jianliang Qian, William W. Symes, W. Symes, 2002 .

Babich-expansion based Fast Huygens Sweeping Methods for Point-source Helmholtz Equations

J. Qian, R. Burridge, Wangtao Lu, 2015 .

Reconstruct high-resolution 3D genome structures for diverse cell-types using FLAMINGO

J. Qian, Jianrong Wang, Hao Wang, 2022, Nature Communications.

Simultaneously recovering both domain and varying density in inverse gravimetry by efficient level-set methods

J. Qian, Wenbin Li, 2021, Inverse Problems & Imaging.

A Level Set-Adjoint State Method for the Joint Transmission-Re(cid:13)ection First-Arrival Traveltime Tomography with Unknown Re(cid:13)ector Position

Shingyu Leung, J. Qian, Wenbin Li, 2013 .

FIFTH ORDER WEIGHTED POWER-ENO METHODS FOR HAMILTON-JACOBI EQUATIONS

J. Qian, 2022 .

Gaussian beams for high-frequency wave propagation

J. Qian, R. Burridge, H. Leung, 2007 .

A new phase space method for recovering index of refraction from travel times

Eric T. Chung, Hongkai Zhao, J. Qian, 2007 .

A staggered discontinuous Galerkin method for the simulation of Rayleigh waves

Eric T. Chung, C. Y. Lam, J. Qian, 2014 .

Kantorovich-Rubinstein metric based level-set methods for inverting modulus of gravity-force data

J. Qian, Wenbin Li, 2022, Inverse Problems and Imaging.

A Fast Butterfly-compressed Hadamard-Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources

J. Qian, R. Burridge, Yang Liu, 2022, Multiscale Model. Simul..

A Finite Element/Operator-Splitting Method for the Numerical Solution of the Two Dimensional Elliptic Monge–Ampère Equation

R. Glowinski, Shingyu Leung, J. Qian, 2018, Journal of Scientific Computing.

Extending Babich's Ansatz for Point-Source Maxwell's Equations Using Hadamard's Method

Jianliang Qian, Robert Burridge, Wangtao Lu, 2018, Multiscale Model. Simul..

Babich's expansion and the fast Huygens sweeping method for the Helmholtz wave equation at high frequencies

Jianliang Qian, Robert Burridge, Wangtao Lu, 2016, J. Comput. Phys..

A Finite Element/Operator-Splitting Method for the Numerical Solution of the Two Dimensional Elliptic Monge–Ampère Equation

Hao Liu, Roland Glowinski, Jianliang Qian, 2018, J. Sci. Comput..

An adaptive finite-difference method for traveltimes and amplitudes

Jianliang Qian, William W. Symes, W. Symes, 2002 .

Essentially Non-Oscillatory Adaptive Tree Methods

Stanley Osher, Jianliang Qian, Thomas C. Cecil, 2008, J. Sci. Comput..

A level-set adjoint-state method for crosswell transmission-reflection traveltime tomography

Jianliang Qian, Shingyu Leung, Shingyu Leung, 2014 .

A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media

Hongkai Zhao, Jianliang Qian, Jun Fang, 2017, J. Comput. Phys..

Eulerian Gaussian beams for Schrödinger equations in the semi-classical regime

Jianliang Qian, Shingyu Leung, Shingyu Leung, 2009, J. Comput. Phys..

An accurate spectral/discontinuous finite-element formulation of a phase-space-based level set approach to geometrical optics

Fernando Reitich, Bernardo Cockburn, Jianliang Qian, 2005 .

An adjoint state method for three-dimensional transmission traveltime tomography using first-arrivals

Jianliang Qian, Shingyu Leung, Shingyu Leung, 2006 .

A Slowness Matching Eulerian Method for Multivalued Solutions of Eikonal Equations

Jianliang Qian, William W. Symes, W. Symes, 2003, J. Sci. Comput..

Efficient Algorithms for Ptychographic Phase Retrieval

Chao Yang, Francisco Maia, Jianliang Qian, 2014 .

High Order Fast Sweeping Methods for Static Hamilton–Jacobi Equations

Hongkai Zhao, Jianliang Qian, Yong-Tao Zhang, 2006, J. Sci. Comput..

A Local Level Set Method for Paraxial Geometrical Optics

Jianliang Qian, Shingyu Leung, Shingyu Leung, 2006, SIAM J. Sci. Comput..

Simplex free adaptive tree fast sweeping and evolution methods for solving level set equations in arbitrary dimension

Stanley Osher, Jianliang Qian, Thomas C. Cecil, 2006, J. Comput. Phys..

Fast Sweeping Methods for Eikonal Equations on Triangular Meshes

Hongkai Zhao, Jianliang Qian, Yong-Tao Zhang, 2007, SIAM J. Numer. Anal..

Factored singularities and high-order Lax-Friedrichs sweeping schemes for point-source traveltimes and amplitudes

Jianliang Qian, Songting Luo, J. Qian, 2011, J. Comput. Phys..

Optimal Convergence of the Original DG Method on Special Meshes for Variable Transport Velocity

Bo Dong, Bernardo Cockburn, Jianliang Qian, 2010, SIAM J. Numer. Anal..

A Penalization-Regularization-Operator Splitting Method for Eikonal Based Traveltime Tomography

Roland Glowinski, Jianliang Qian, Shingyu Leung, 2015, SIAM J. Imaging Sci..

A phase-space formulation for elastic-wave traveltime tomography

Eric T. Chung, Hongkai Zhao, J. Qian, 2008 .

Perfectly Matched Layer Boundary Integral Equation Method for Wave Scattering in a Layered Medium

Ya Yan Lu, Jianliang Qian, Wangtao Lu, 2016, SIAM J. Appl. Math..

Numerical Simulation of Subcooled Nucleate Boiling by Coupling Level-Set Method with Moving-Mesh Method

Jianliang Qian, Vijay K. Dhir, Jinfeng Wu, 2007 .

Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation

Lexing Ying, Jianliang Qian, Lexing Ying, 2010, J. Comput. Phys..

Operator-Splitting Based Fast Sweeping Methods for Isotropic Wave Propagation in a Moving Fluid

Roland Glowinski, Jianliang Qian, Shingyu Leung, 2016, SIAM J. Sci. Comput..

High-Order Factorization Based High-Order Hybrid Fast Sweeping Methods for Point-Source Eikonal Equations

Jianliang Qian, Songting Luo, Robert Burridge, 2014, SIAM J. Numer. Anal..

A Fast Sweeping Method for Static Convex Hamilton–Jacobi Equations

Hongkai Zhao, Jianliang Qian, Yong-Tao Zhang, 2007, J. Sci. Comput..

Geometrical optics for quasi-P waves: Theories and numerical methods

J. Qian, 2000 .

Adaptive Finite Difference Method For Traveltime And Amplitude

Jianliang Qian, William W. Symes, W. Symes, 1999 .

An Efficient Neumann Series-Based Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed

Hongkai Zhao, Jianliang Qian, Plamen Stefanov, 2011, SIAM J. Imaging Sci..

The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation

Jianliang Qian, Shingyu Leung, Shingyu Leung, 2010, J. Comput. Phys..

Fast Multiscale Gaussian Wavepacket Transforms and Multiscale Gaussian Beams for the Wave Equation

Lexing Ying, Jianliang Qian, Lexing Ying, 2010, Multiscale Model. Simul..

An Adjoint State Method for Numerical Approximation of Continuous Traffic Congestion Equilibria

Jianliang Qian, Songting Luo, Shingyu Leung, 2011 .

Fast Multiscale Gaussian Beam Method for Three-Dimensional Elastic Wave Equations in Bounded Domains

Jianliang Qian, Chao Song, J. Qian, 2021, SIAM J. Numer. Anal..

Eulerian Geometrical Optics and Fast Huygens Sweeping Methods for Three-Dimensional Time-Harmonic High-Frequency Maxwell's Equations in Inhomogeneous Media

Jianliang Qian, Lijun Yuan, Songting Luo, 2016, Multiscale Model. Simul..

Fast Huygens sweeping methods for Helmholtz equations in inhomogeneous media in the high frequency regime

Jianliang Qian, Songting Luo, Robert Burridge, 2014, J. Comput. Phys..

Fast Sweeping Methods for Factored Anisotropic Eikonal Equations: Multiplicative and Additive Factors

Jianliang Qian, Songting Luo, J. Qian, 2012, J. Sci. Comput..

Fast Sweeping Methods for Factored Anisotropic Eikonal Equations: Multiplicative and Additive Factors

J. Qian, S. Luo, 2011, Journal of Scientific Computing.

A stopping criterion for higher-order sweeping schemes for static Hamilton-Jacobi equations

Jianliang Qian, Susana Serna, J. Qian, 2010 .

Legendre-transform-based fast sweeping methods for static Hamilton-Jacobi equations on triangulated meshes

Stanley Osher, Jianliang Qian, Chiu-Yen Kao, 2008, J. Comput. Phys..

A Level-Set Adjoint-State Method for Transmission Traveltime Tomography in Irregular Domains

Jianliang Qian, Shingyu Leung, Jiangtao Hu, 2021, SIAM J. Sci. Comput..

Fast Huygens Sweeping Methods for a Class of Nonlocal Schrödinger Equations

Shingyu Leung, J. Qian, K. Ho, 2021, Journal of Scientific Computing.

A fast Huygens sweeping method for capturing paraxial multi-color optical self-focusing in nematic liquid crystals

Jianliang Qian, Shingyu Leung, Xiao-Ping Wang, 2017, J. Comput. Phys..

Mountain Waves and Gaussian Beams

James Ralston, Jianliang Qian, Nicolay M. Tanushev, 2007, Multiscale Model. Simul..

Babich-Like Ansatz for Three-Dimensional Point-Source Maxwell's Equations in an Inhomogeneous Medium at High Frequencies

Jianliang Qian, Robert Burridge, Wangtao Lu, 2016, Multiscale Model. Simul..

Ray-illumination compensation for adjoint-state first-arrival traveltime tomography

Shingyu Leung, Huazhong Wang, J. Qian, 2021, GEOPHYSICS.

Hadamard-Babich Ansatz for Point-Source Elastic Wave Equations in Variable Media at High Frequencies

J. Qian, R. Burridge, Wangtao Lu, 2021, Multiscale Model. Simul..

Newton-type Gauss-Seidel Lax-Friedrichs high-order fast sweeping methods for solving generalized eikonal equations at large-scale discretization

Jianliang Qian, Wenbin Li, J. Qian, 2020, Comput. Math. Appl..

Babich’s Expansion and High-Order Eulerian Asymptotics for Point-Source Helmholtz Equations

Yuan Liu, Jianliang Qian, Lijun Yuan, 2016, J. Sci. Comput..

Babich’s Expansion and High-Order Eulerian Asymptotics for Point-Source Helmholtz Equations

J. Qian, R. Burridge, S. Luo, 2015, Journal of Scientific Computing.

Fast Huygens' sweeping methods for multiarrival Green's functions of Helmholtz equations in the high-frequency regime

Jianliang Qian, Songting Luo, Robert Burridge, 2015 .

Adjoint State Method for the Identification Problem in SPECT: Recovery of Both the Source and the Attenuation in the Attenuated X-Ray Transform

Jianliang Qian, Plamen Stefanov, Songting Luo, 2014, SIAM J. Imaging Sci..

A New Numerical Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed

Hongkai Zhao, Jianliang Qian, Plamen Stefanov, 2011, 1101.3729.

Approximations for Viscosity Solutions of Hamilton-Jacobi Equations With Locally Varying Time and Space Grids

Jianliang Qian, J. Qian, 2006, SIAM J. Numer. Anal..

Fast multiscale Gaussian beam methods for wave equations in bounded convex domains

Gang Bao, Jianliang Qian, Jun Lai, 2014, J. Comput. Phys..

Iterative Algorithms for Ptychographic Phase Retrieval

S. Marchesini, C. Yang, J. Qian, 2011, 1105.5628.

On the Numerical Solution of Nonlinear Eigenvalue Problems for the Monge-Ampère Operator pdf

Roland Glowinski, Jianliang Qian, Shingyu Leung, 2020, ArXiv.

On the Numerical Solution of Nonlinear Eigenvalue Problems for the Monge-Amp\`{e}re Operator

Roland Glowinski, Jianliang Qian, Hao Liu, 2020, 2008.08103.

Efficient Algorithms for Computing Multidimensional Integral Fractional Laplacians via Spherical Means

Jianliang Qian, Shingyu Leung, Jin Cheng, 2020, SIAM J. Sci. Comput..

A hybrid approach to solve the high-frequency Helmholtz equation with source singularity

J. Qian, Leonardo Zepeda-Núñez, J. Fang, 2017 .

Enhanced pulsed thermoacoustic imaging by noncoherent pulse compression

B. Li, J. Qian, Deepak Kumar, 2021, Journal of Applied Physics.

A level-set algorithm for the inverse problem of full magnetic gradient tensor data

Jianliang Qian, Wenbin Li, J. Qian, 2020, Appl. Math. Lett..

A local level-set method for 3D inversion of gravity-gradient data

Jianliang Qian, Wangtao Lu, J. Qian, 2015 .

Analysis of Regularized Kantorovich-Rubinstein Metric and Its Application to Inverse Gravity Problems

Jianliang Qian, Guanghui Huang, J. Qian, 2019, SIAM J. Imaging Sci..

Local a posteriori error estimates for time-dependent Hamilton-Jacobi equations

Bernardo Cockburn, Jianliang Qian, Ivan Merev, 2012, Math. Comput..

A data and knowledge driven approach for SPECT using convolutional neural networks and iterative algorithms

J. Qian, Wenbin Li, Wenqi Ao, 2021, Journal of Inverse and Ill-posed Problems.

Hadamard integrator for time-dependent wave equations: Lagrangian formulation via ray tracing

J. Qian, R. Burridge, Jin Cheng, 2023, Journal of Computational Physics.

Learning Rays via Deep Neural Network in a Ray-based IPDG Method for High-Frequency Helmholtz Equations in Inhomogeneous Media pdf

Eric T. Chung, Shubin Fu, Jianliang Qian, 2021, J. Comput. Phys..

Numerical Microlocal Analysis by Fast Gaussian Wave Packet Transforms and Application to High-Frequency Helmholtz Problems

Jianliang Qian, Chi Yeung Lam, C. Y. Lam, 2019, SIAM J. Sci. Comput..

A Finite Element/Operator-Splitting Method for the Numerical Solution of the Three Dimensional Monge–Ampère Equation

Roland Glowinski, Jianliang Qian, Hao Liu, 2019, Journal of Scientific Computing.

An Efficient Operator-Splitting Method for the Eigenvalue Problem of the Monge-Ampère Equation

Shingyu Leung, J. Qian, Hao Liu, 2022, Communications in Optimization Theory.

A Simple Explicit Operator-Splitting Method for Effective Hamiltonians

Roland Glowinski, Jianliang Qian, Shingyu Leung, 2018, SIAM J. Sci. Comput..