Jianliang Qian

发表

Fast Sweeping Methods for Eikonal Equations on Triangular Meshes

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

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.

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

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

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..

Essentially Non-Oscillatory Adaptive Tree Methods

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

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

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

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..

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

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

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

Hao Liu, Roland Glowinski, Jianliang Qian, 2019, J. Sci. Comput..

Efficient Algorithms for Computing Multidimensional Integral Fractional Laplacians via Spherical Means

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

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

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

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..

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..

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

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

Mountain Waves and Gaussian Beams

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

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..

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..

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

Jianliang Qian, Shingyu Leung, Shingyu Leung, 2009, 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..

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..

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..

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

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

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

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

A ray-based IPDG method for high-frequency time-domain acoustic wave propagation in inhomogeneous media

Eric T. Chung, Jianliang Qian, Chi Yeung Lam, 2017, J. Comput. Phys..

A Fast Sweeping Method for Static Convex Hamilton–Jacobi Equations

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

A Local Level Set Method for Paraxial Geometrical Optics

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

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..

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

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

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..

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..

Fifth-Order Weighted Power-ENO Schemes for Hamilton-Jacobi Equations

Jianliang Qian, Susana Serna, 2006, J. Sci. Comput..

Efficient angle-domain common-image gathers using Cauchy-condition-based polarization vectors

Huazhong Wang, Jianliang Qian, Xiongwen Wang, 2016 .

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

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

A Simple Explicit Operator-Splitting Method for Effective Hamiltonians

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

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

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

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..

Efficient Algorithms for Ptychographic Phase Retrieval

Chao Yang, Francisco Maia, Jianliang Qian, 2014 .

A Slowness Matching Eulerian Method for Multivalued Solutions of Eikonal Equations

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

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

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

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..

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..

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

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

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..

High Order Fast Sweeping Methods for Static Hamilton–Jacobi Equations

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

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..

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..

Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation

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

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..

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..

Eulerian partial-differential-equation methods for complex-valued eikonals in attenuating media

Jianliang Qian, Shingyu Leung, Junxing Cao, 2021 .

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..

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

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

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

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

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 .

Adaptive Finite Difference Method For Traveltime And Amplitude

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

High Order Fast Sweeping Methods For Eikonal Equations

Hongkai Zhao, Jianliang Qian, Yong-Tao Zhang, 2004 .

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

Jianliang Qian, Shingyu Leung, Shingyu Leung, 2006 .

A Full-aperture Anisotropic Eikonal Solver For Quasi-P Traveltimes

Joe Dellinger, Jianliang Qian, William W. Symes, 2001 .

Kantorovich-Rubinstein misfit for inverting gravity-gradient data by the level-set method

Xinming Zhang, Jianliang Qian, Guanghui Huang, 2019, GEOPHYSICS.

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

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

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

Jianliang Qian, Songting Luo, Robert Burridge, 2015 .

An adaptive finite-difference method for traveltimes and amplitudes

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

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

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

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

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

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

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

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

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

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

Jianliang Qian, Shingyu Leung, Shingyu Leung, 2014 .

A Neumann series based method for photoacoustic tomography on irregular domains

Eric Chung, Jianliang Qian, Chi Yeung Lam, 2013 .

Adaptive nite dierence method for traveltime and amplitude

Jianliang Qian, William W. Symes, C. D. Bel, 1999 .

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

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

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

Jianliang Qian, Songting Luo, Shingyu Leung, 2011 .