Jianliang Qian

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 34

Top Topics

Wavelet Decomposition

High Frequencies

Top Venues

J. Comput. Phys.

Multiscale Model. Simul.

SIAM J. Sci. Comput.

Publications

Yuxiao Wei, Jin Cheng, Robert Burridge, Jianliang Qian
Hadamard integrator for time-dependent wave equations: Lagrangian formulation via ray tracing. J. Comput. Phys. 497 (2024)
Jianliang Qian, Timo Sprekeler, Hung V. Tran, Yifeng Yu
Optimal rate of convergence in periodic homogenization of viscous Hamilton-Jacobi equations. CoRR (2024)
Yuxiao Wei, Jin Cheng, Shingyu Leung, Robert Burridge, Jianliang Qian
Hadamard integrators for wave equations in time and frequency domain: Eulerian formulations via butterfly algorithms. CoRR (2024)
Hao Liu, Shingyu Leung, Jianliang Qian
Operator Splitting/Finite Element Methods for the Minkowski Problem. CoRR (2023)
Yuxiao Wei, Jin Cheng, Robert Burridge, Jianliang Qian
Hadamard integrator for time-dependent wave equations: Lagrangian formulation via ray tracing. CoRR (2023)
Yang Liu, Jian Song, Robert Burridge, Jianliang Qian
A Fast Butterfly-Compressed Hadamard-Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources. Multiscale Model. Simul. 21 (1) (2023)
Yang Liu, Jian Song, Robert Burridge, Jianliang Qian
A Fast Butterfly-compressed Hadamard-Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources. CoRR (2022)
Hao Liu, Shingyu Leung, Jianliang Qian
An Efficient Operator-Splitting Method for the Eigenvalue Problem of the Monge-Ampère Equation. CoRR (2022)
Tak Shing Au Yeung, Ka Chun Cheung, Eric T. Chung, Shubin Fu, Jianliang Qian
Learning rays via deep neural network in a ray-based IPDG method for high-frequency Helmholtz equations in inhomogeneous media. J. Comput. Phys. 465 (2022)
Shingyu Leung, Jianliang Qian, Jiangtao Hu
A Level-Set Adjoint-State Method for Transmission Traveltime Tomography in Irregular Domains. SIAM J. Sci. Comput. 43 (3) (2021)
Kaho Ho, Shingyu Leung, Jianliang Qian
Fast Huygens Sweeping Methods for a Class of Nonlocal Schrödinger Equations. J. Sci. Comput. 88 (3) (2021)
Jianliang Qian, Chao Song
Fast Multiscale Gaussian Beam Method for Three-Dimensional Elastic Wave Equations in Bounded Domains. SIAM J. Numer. Anal. 59 (5) (2021)
Tak Shing Au Yeung, Ka Chun Cheung, Eric T. Chung, Shubin Fu, Jianliang Qian
Learning Rays via Deep Neural Network in a Ray-based IPDG Method for High-Frequency Helmholtz Equations in Inhomogeneous Media. CoRR (2021)
Jianliang Qian, Jian Song, Wangtao Lu, Robert Burridge
Hadamard-Babich Ansatz for Point-Source Elastic Wave Equations in Variable Media at High Frequencies. Multiscale Model. Simul. 19 (1) (2021)
Boxi Xu, Jin Cheng, Shingyu Leung, Jianliang Qian
Efficient Algorithms for Computing Multidimensional Integral Fractional Laplacians via Spherical Means. SIAM J. Sci. Comput. 42 (5) (2020)
Roland Glowinski, Shingyu Leung, Hao Liu, Jianliang Qian
On the Numerical Solution of Nonlinear Eigenvalue Problems for the Monge-Ampère Operator. CoRR (2020)
Wenbin Li, Jianliang Qian
A level-set algorithm for the inverse problem of full magnetic gradient tensor data. Appl. Math. Lett. 107 (2020)
Wenbin Li, Jianliang Qian
Newton-type Gauss-Seidel Lax-Friedrichs high-order fast sweeping methods for solving generalized eikonal equations at large-scale discretization. Comput. Math. Appl. 79 (4) (2020)
Hao Liu, Roland Glowinski, Shingyu Leung, Jianliang Qian
A Finite Element/Operator-Splitting Method for the Numerical Solution of the Three Dimensional Monge-Ampère Equation. J. Sci. Comput. 81 (3) (2019)
Roland Glowinski, Hao Liu, Shingyu Leung, Jianliang Qian
A Finite Element/Operator-Splitting Method for the Numerical Solution of the Two Dimensional Elliptic Monge-Ampère Equation. J. Sci. Comput. 79 (1) (2019)
Chi Yeung Lam, Jianliang Qian
Numerical Microlocal Analysis by Fast Gaussian Wave Packet Transforms and Application to High-Frequency Helmholtz Problems. SIAM J. Sci. Comput. 41 (5) (2019)
Guanghui Huang, Jianliang Qian
Analysis of Regularized Kantorovich-Rubinstein Metric and Its Application to Inverse Gravity Problems. SIAM J. Imaging Sci. 12 (3) (2019)
Roland Glowinski, Hao Liu, Shingyu Leung, Jianliang Qian
Correction to: A Finite Element/Operator-Splitting Method for the Numerical Solution of the Two Dimensional Elliptic Monge-Ampère Equation. J. Sci. Comput. 79 (1) (2019)
Wangtao Lu, Ya Yan Lu, Jianliang Qian
Perfectly Matched Layer Boundary Integral Equation Method for Wave Scattering in a Layered Medium. SIAM J. Appl. Math. 78 (1) (2018)
Roland Glowinski, Shingyu Leung, Jianliang Qian
A Simple Explicit Operator-Splitting Method for Effective Hamiltonians. SIAM J. Sci. Comput. 40 (1) (2018)
Jun Fang, Jianliang Qian, Leonardo Zepeda-Núñez, Hongkai Zhao
A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media. J. Comput. Phys. 371 (2018)
Wangtao Lu, Jianliang Qian, Robert Burridge
Extending Babich's Ansatz for Point-Source Maxwell's Equations Using Hadamard's Method. Multiscale Model. Simul. 16 (2) (2018)
Eric T. Chung, Chi Yeung Lam, Jianliang Qian
A ray-based IPDG method for high-frequency time-domain acoustic wave propagation in inhomogeneous media. J. Comput. Phys. 348 (2017)
Wingfai Kwan, Shingyu Leung, Xiao-Ping Wang, Jianliang Qian
A fast Huygens sweeping method for capturing paraxial multi-color optical self-focusing in nematic liquid crystals. J. Comput. Phys. 348 (2017)
Jianliang Qian, Wangtao Lu, Lijun Yuan, Songting Luo, Robert Burridge
Eulerian Geometrical Optics and Fast Huygens Sweeping Methods for Three-Dimensional Time-Harmonic High-Frequency Maxwell's Equations in Inhomogeneous Media. Multiscale Model. Simul. 14 (2) (2016)
Roland Glowinski, Shingyu Leung, Jianliang Qian
Operator-Splitting Based Fast Sweeping Methods for Isotropic Wave Propagation in a Moving Fluid. SIAM J. Sci. Comput. 38 (2) (2016)
Wangtao Lu, Jianliang Qian, Robert Burridge
Babich's expansion and the fast Huygens sweeping method for the Helmholtz wave equation at high frequencies. J. Comput. Phys. 313 (2016)
Jianliang Qian, Lijun Yuan, Yuan Liu, Songting Luo, Robert Burridge
Babich's Expansion and High-Order Eulerian Asymptotics for Point-Source Helmholtz Equations. J. Sci. Comput. 67 (3) (2016)
Wangtao Lu, Jianliang Qian, Robert Burridge
Babich-Like Ansatz for Three-Dimensional Point-Source Maxwell's Equations in an Inhomogeneous Medium at High Frequencies. Multiscale Model. Simul. 14 (3) (2016)
Roland Glowinski, Shingyu Leung, Jianliang Qian
A Penalization-Regularization-Operator Splitting Method for Eikonal Based Traveltime Tomography. SIAM J. Imaging Sci. 8 (2) (2015)
Songting Luo, Jianliang Qian, Robert Burridge
Fast Huygens sweeping methods for Helmholtz equations in inhomogeneous media in the high frequency regime. J. Comput. Phys. 270 (2014)
Songting Luo, Jianliang Qian, Robert Burridge
High-Order Factorization Based High-Order Hybrid Fast Sweeping Methods for Point-Source Eikonal Equations. SIAM J. Numer. Anal. 52 (1) (2014)
Gang Bao, Jun Lai, Jianliang Qian
Fast multiscale Gaussian beam methods for wave equations in bounded convex domains. J. Comput. Phys. 261 (2014)
Songting Luo, Jianliang Qian, Plamen Stefanov
Adjoint State Method for the Identification Problem in SPECT: Recovery of Both the Source and the Attenuation in the Attenuated X-Ray Transform. SIAM J. Imaging Sci. 7 (2) (2014)
Bernardo Cockburn, Ivan Merev, Jianliang Qian
Local a posteriori error estimates for time-dependent Hamilton-Jacobi equations. Math. Comput. 82 (281) (2013)
Songting Luo, Jianliang Qian
Fast Sweeping Methods for Factored Anisotropic Eikonal Equations: Multiplicative and Additive Factors. J. Sci. Comput. 52 (2) (2012)
Songting Luo, Jianliang Qian
Factored singularities and high-order Lax-Friedrichs sweeping schemes for point-source traveltimes and amplitudes. J. Comput. Phys. 230 (12) (2011)
Jianliang Qian, Plamen Stefanov, Gunther Uhlmann, Hongkai Zhao
An Efficient Neumann Series-Based Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed. SIAM J. Imaging Sci. 4 (3) (2011)
Jianliang Qian, Lexing Ying
Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation. J. Comput. Phys. 229 (20) (2010)
Jianliang Qian, Lexing Ying
Fast Multiscale Gaussian Wavepacket Transforms and Multiscale Gaussian Beams for the Wave Equation. Multiscale Model. Simul. 8 (5) (2010)
Bernardo Cockburn, Bo Dong, Johnny Guzmán, Jianliang Qian
Optimal Convergence of the Original DG Method on Special Meshes for Variable Transport Velocity. SIAM J. Numer. Anal. 48 (1) (2010)
Shingyu Leung, Jianliang Qian
The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation. J. Comput. Phys. 229 (23) (2010)
Shingyu Leung, Jianliang Qian
Eulerian Gaussian beams for Schrödinger equations in the semi-classical regime. J. Comput. Phys. 228 (8) (2009)
Chiu-Yen Kao, Stanley J. Osher, Jianliang Qian
Legendre-transform-based fast sweeping methods for static Hamilton-Jacobi equations on triangulated meshes. J. Comput. Phys. 227 (24) (2008)
Thomas C. Cecil, Stanley J. Osher, Jianliang Qian
Essentially Non-Oscillatory Adaptive Tree Methods. J. Sci. Comput. 35 (1) (2008)
Jianliang Qian, Yong-Tao Zhang, Hong-Kai Zhao
A Fast Sweeping Method for Static Convex Hamilton-Jacobi Equations. J. Sci. Comput. 31 (1-2) (2007)
Nicolay M. Tanushev, Jianliang Qian, James Ralston
Mountain Waves and Gaussian Beams. Multiscale Model. Simul. 6 (2) (2007)
Jianliang Qian, Yong-Tao Zhang, Hong-Kai Zhao
Fast Sweeping Methods for Eikonal Equations on Triangular Meshes. SIAM J. Numer. Anal. 45 (1) (2007)
Jianliang Qian
Approximations for Viscosity Solutions of Hamilton-Jacobi Equations With Locally Varying Time and Space Grids. SIAM J. Numer. Anal. 43 (6) (2006)
Jianliang Qian, Shingyu Leung
A Local Level Set Method for Paraxial Geometrical Optics. SIAM J. Sci. Comput. 28 (1) (2006)
Susana Serna, Jianliang Qian
Fifth-Order Weighted Power-ENO Schemes for Hamilton-Jacobi Equations. J. Sci. Comput. 29 (1) (2006)
Thomas C. Cecil, Stanley J. Osher, Jianliang Qian
Simplex free adaptive tree fast sweeping and evolution methods for solving level set equations in arbitrary dimension. J. Comput. Phys. 213 (2) (2006)
Yong-Tao Zhang, Hong-Kai Zhao, Jianliang Qian
High Order Fast Sweeping Methods for Static Hamilton-Jacobi Equations. J. Sci. Comput. 29 (1) (2006)
William W. Symes, Jianliang Qian
A Slowness Matching Eulerian Method for Multivalued Solutions of Eikonal Equations. J. Sci. Comput. 19 (1-3) (2003)