Jianliang Qian

66 papers Journal 66

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	A Linear-Complexity Tensor Butterfly Algorithm for Compressing High-Dimensional Oscillatory Integral Operators. Multiscale Model. Simul. P. Michael Kielstra, Tianyi Shi, Hengrui Luo, Jianliang Qian, Yang Liu
2025	J	`jnl`	A Uniformly Accurate Diffeomorphic Embedding Method for Solving Eikonal Equations on Implicit Surfaces. SIAM J. Sci. Comput. Yuxiao Wei, Jianliang Qian, Shingyu Leung
2025	J	`jnl`	Fast Operator-Splitting Methods for Nonlinear Elliptic Equations. CoRR Jingyu Yang, Shingyu Leung, Jianliang Qian, Hao Liu
2025	J	`jnl`	High-order accurate adjoint-state methods for three-dimensional high-resolution first-arrival traveltime tomography. J. Comput. Phys. Bingqian Si, Aaron Philip, Yuxiao Wei, Jianliang Qian
2024	J	`jnl`	A Linear-complexity Tensor Butterfly Algorithm for Compressing High-dimensional Oscillatory Integral Operators. CoRR P. Michael Kielstra, Tianyi Shi, Hengrui Luo, Jianliang Qian, Yang Liu
2024	J	`jnl`	Hadamard integrator for time-dependent wave equations: Lagrangian formulation via ray tracing. J. Comput. Phys. Yuxiao Wei, Jin Cheng, Robert Burridge, Jianliang Qian
2024	J	`jnl`	Hadamard integrators for wave equations in time and frequency domain: Eulerian formulations via butterfly algorithms. CoRR Yuxiao Wei, Jin Cheng, Shingyu Leung, Robert Burridge, Jianliang Qian
2024	J	`jnl`	Operator-Splitting/Finite Element Methods for the Minkowski Problem. SIAM J. Sci. Comput. Hao Liu, Shingyu Leung, Jianliang Qian
2024	J	`jnl`	Optimal Rate of Convergence in Periodic Homogenization of Viscous Hamilton-Jacobi Equations. Multiscale Model. Simul. Jianliang Qian, Timo Sprekeler, Hung V. Tran, Yifeng Yu
2024	J	`jnl`	Optimal rate of convergence in periodic homogenization of viscous Hamilton-Jacobi equations. CoRR Jianliang Qian, Timo Sprekeler, Hung V. Tran, Yifeng Yu
2023	J	`jnl`	A Fast Butterfly-Compressed Hadamard-Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources. Multiscale Model. Simul. Yang Liu, Jian Song, Robert Burridge, Jianliang Qian
2023	J	`jnl`	Hadamard integrator for time-dependent wave equations: Lagrangian formulation via ray tracing. CoRR Yuxiao Wei, Jin Cheng, Robert Burridge, Jianliang Qian
2023	J	`jnl`	Operator Splitting/Finite Element Methods for the Minkowski Problem. CoRR Hao Liu, Shingyu Leung, Jianliang Qian
2022	J	`jnl`	A Fast Butterfly-compressed Hadamard-Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources. CoRR Yang Liu, Jian Song, Robert Burridge, Jianliang Qian
2022	J	`jnl`	An Efficient Operator-Splitting Method for the Eigenvalue Problem of the Monge-Ampère Equation. CoRR Hao Liu, Shingyu Leung, Jianliang Qian
2022	J	`jnl`	Learning rays via deep neural network in a ray-based IPDG method for high-frequency Helmholtz equations in inhomogeneous media. J. Comput. Phys. Tak Shing Au Yeung, Ka Chun Cheung, Eric T. Chung, Shubin Fu, Jianliang Qian
2021	J	`jnl`	A Level-Set Adjoint-State Method for Transmission Traveltime Tomography in Irregular Domains. SIAM J. Sci. Comput. Shingyu Leung, Jianliang Qian, Jiangtao Hu
2021	J	`jnl`	Fast Huygens Sweeping Methods for a Class of Nonlocal Schrödinger Equations. J. Sci. Comput. Kaho Ho, Shingyu Leung, Jianliang Qian
2021	J	`jnl`	Fast Multiscale Gaussian Beam Method for Three-Dimensional Elastic Wave Equations in Bounded Domains. SIAM J. Numer. Anal. Jianliang Qian, Chao Song
2021	J	`jnl`	Hadamard-Babich Ansatz for Point-Source Elastic Wave Equations in Variable Media at High Frequencies. Multiscale Model. Simul. Jianliang Qian, Jian Song, Wangtao Lu, Robert Burridge
2021	J	`jnl`	Learning Rays via Deep Neural Network in a Ray-based IPDG Method for High-Frequency Helmholtz Equations in Inhomogeneous Media. CoRR Tak Shing Au Yeung, Ka Chun Cheung, Eric T. Chung, Shubin Fu, Jianliang Qian
2020	J	`jnl`	A level-set algorithm for the inverse problem of full magnetic gradient tensor data. Appl. Math. Lett. Wenbin Li, Jianliang Qian
2020	J	`jnl`	Efficient Algorithms for Computing Multidimensional Integral Fractional Laplacians via Spherical Means. SIAM J. Sci. Comput. Boxi Xu, Jin Cheng, Shingyu Leung, Jianliang Qian
2020	J	`jnl`	Newton-type Gauss-Seidel Lax-Friedrichs high-order fast sweeping methods for solving generalized eikonal equations at large-scale discretization. Comput. Math. Appl. Wenbin Li, Jianliang Qian
2020	J	`jnl`	On the Numerical Solution of Nonlinear Eigenvalue Problems for the Monge-Ampère Operator. CoRR Roland Glowinski, Shingyu Leung, Hao Liu, Jianliang Qian
2019	J	`jnl`	A Finite Element/Operator-Splitting Method for the Numerical Solution of the Three Dimensional Monge-Ampère Equation. J. Sci. Comput. Hao Liu, Roland Glowinski, Shingyu Leung, Jianliang Qian
2019	J	`jnl`	A Finite Element/Operator-Splitting Method for the Numerical Solution of the Two Dimensional Elliptic Monge-Ampère Equation. J. Sci. Comput. Roland Glowinski, Hao Liu, Shingyu Leung, Jianliang Qian
2019	J	`jnl`	Analysis of Regularized Kantorovich-Rubinstein Metric and Its Application to Inverse Gravity Problems. SIAM J. Imaging Sci. Guanghui Huang, Jianliang Qian
2019	J	`jnl`	Correction to: A Finite Element/Operator-Splitting Method for the Numerical Solution of the Two Dimensional Elliptic Monge-Ampère Equation. J. Sci. Comput. Roland Glowinski, Hao Liu, Shingyu Leung, Jianliang Qian
2019	J	`jnl`	Numerical Microlocal Analysis by Fast Gaussian Wave Packet Transforms and Application to High-Frequency Helmholtz Problems. SIAM J. Sci. Comput. Chi Yeung Lam, Jianliang Qian
2018	J	`jnl`	A Simple Explicit Operator-Splitting Method for Effective Hamiltonians. SIAM J. Sci. Comput. Roland Glowinski, Shingyu Leung, Jianliang Qian
2018	J	`jnl`	A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media. J. Comput. Phys. Jun Fang, Jianliang Qian, Leonardo Zepeda-Núñez, Hongkai Zhao
2018	J	`jnl`	Extending Babich's Ansatz for Point-Source Maxwell's Equations Using Hadamard's Method. Multiscale Model. Simul. Wangtao Lu, Jianliang Qian, Robert Burridge
2018	J	`jnl`	Perfectly Matched Layer Boundary Integral Equation Method for Wave Scattering in a Layered Medium. SIAM J. Appl. Math. Wangtao Lu, Ya Yan Lu, Jianliang Qian
2017	J	`jnl`	A fast Huygens sweeping method for capturing paraxial multi-color optical self-focusing in nematic liquid crystals. J. Comput. Phys. Wingfai Kwan, Shingyu Leung, Xiao-Ping Wang, Jianliang Qian
2017	J	`jnl`	A ray-based IPDG method for high-frequency time-domain acoustic wave propagation in inhomogeneous media. J. Comput. Phys. Eric T. Chung, Chi Yeung Lam, Jianliang Qian
2016	J	`jnl`	Babich's Expansion and High-Order Eulerian Asymptotics for Point-Source Helmholtz Equations. J. Sci. Comput. Jianliang Qian, Lijun Yuan, Yuan Liu, Songting Luo, Robert Burridge
2016	J	`jnl`	Babich's expansion and the fast Huygens sweeping method for the Helmholtz wave equation at high frequencies. J. Comput. Phys. Wangtao Lu, Jianliang Qian, Robert Burridge
2016	J	`jnl`	Babich-Like Ansatz for Three-Dimensional Point-Source Maxwell's Equations in an Inhomogeneous Medium at High Frequencies. Multiscale Model. Simul. Wangtao Lu, Jianliang Qian, Robert Burridge
2016	J	`jnl`	Eulerian Geometrical Optics and Fast Huygens Sweeping Methods for Three-Dimensional Time-Harmonic High-Frequency Maxwell's Equations in Inhomogeneous Media. Multiscale Model. Simul. Jianliang Qian, Wangtao Lu, Lijun Yuan, Songting Luo, Robert Burridge
2016	J	`jnl`	Operator-Splitting Based Fast Sweeping Methods for Isotropic Wave Propagation in a Moving Fluid. SIAM J. Sci. Comput. Roland Glowinski, Shingyu Leung, Jianliang Qian
2015	J	`jnl`	A Penalization-Regularization-Operator Splitting Method for Eikonal Based Traveltime Tomography. SIAM J. Imaging Sci. Roland Glowinski, Shingyu Leung, Jianliang Qian
2014	J	`jnl`	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. Songting Luo, Jianliang Qian, Plamen Stefanov
2014	J	`jnl`	Fast Huygens sweeping methods for Helmholtz equations in inhomogeneous media in the high frequency regime. J. Comput. Phys. Songting Luo, Jianliang Qian, Robert Burridge
2014	J	`jnl`	Fast multiscale Gaussian beam methods for wave equations in bounded convex domains. J. Comput. Phys. Gang Bao, Jun Lai, Jianliang Qian
2014	J	`jnl`	High-Order Factorization Based High-Order Hybrid Fast Sweeping Methods for Point-Source Eikonal Equations. SIAM J. Numer. Anal. Songting Luo, Jianliang Qian, Robert Burridge
2013	J	`jnl`	Local a posteriori error estimates for time-dependent Hamilton-Jacobi equations. Math. Comput. Bernardo Cockburn, Ivan Merev, Jianliang Qian
2012	J	`jnl`	Fast Sweeping Methods for Factored Anisotropic Eikonal Equations: Multiplicative and Additive Factors. J. Sci. Comput. Songting Luo, Jianliang Qian
2011	J	`jnl`	An Efficient Neumann Series-Based Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed. SIAM J. Imaging Sci. Jianliang Qian, Plamen Stefanov, Gunther Uhlmann, Hongkai Zhao
2011	J	`jnl`	Factored singularities and high-order Lax-Friedrichs sweeping schemes for point-source traveltimes and amplitudes. J. Comput. Phys. Songting Luo, Jianliang Qian
2010	J	`jnl`	Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation. J. Comput. Phys. Jianliang Qian, Lexing Ying
2010	J	`jnl`	Fast Multiscale Gaussian Wavepacket Transforms and Multiscale Gaussian Beams for the Wave Equation. Multiscale Model. Simul. Jianliang Qian, Lexing Ying
2010	J	`jnl`	Optimal Convergence of the Original DG Method on Special Meshes for Variable Transport Velocity. SIAM J. Numer. Anal. Bernardo Cockburn, Bo Dong, Johnny Guzmán, Jianliang Qian
2010	J	`jnl`	The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation. J. Comput. Phys. Shingyu Leung, Jianliang Qian
2009	J	`jnl`	Eulerian Gaussian beams for Schrödinger equations in the semi-classical regime. J. Comput. Phys. Shingyu Leung, Jianliang Qian
2008	J	`jnl`	Essentially Non-Oscillatory Adaptive Tree Methods. J. Sci. Comput. Thomas C. Cecil, Stanley J. Osher, Jianliang Qian
2008	J	`jnl`	Legendre-transform-based fast sweeping methods for static Hamilton-Jacobi equations on triangulated meshes. J. Comput. Phys. Chiu-Yen Kao, Stanley J. Osher, Jianliang Qian
2007	J	`jnl`	A Fast Sweeping Method for Static Convex Hamilton-Jacobi Equations. J. Sci. Comput. Jianliang Qian, Yong-Tao Zhang, Hong-Kai Zhao
2007	J	`jnl`	Fast Sweeping Methods for Eikonal Equations on Triangular Meshes. SIAM J. Numer. Anal. Jianliang Qian, Yong-Tao Zhang, Hong-Kai Zhao
2007	J	`jnl`	Mountain Waves and Gaussian Beams. Multiscale Model. Simul. Nicolay M. Tanushev, Jianliang Qian, James Ralston
2006	J	`jnl`	A Local Level Set Method for Paraxial Geometrical Optics. SIAM J. Sci. Comput. Jianliang Qian, Shingyu Leung
2006	J	`jnl`	Approximations for Viscosity Solutions of Hamilton-Jacobi Equations With Locally Varying Time and Space Grids. SIAM J. Numer. Anal. Jianliang Qian
2006	J	`jnl`	Fifth-Order Weighted Power-ENO Schemes for Hamilton-Jacobi Equations. J. Sci. Comput. Susana Serna, Jianliang Qian
2006	J	`jnl`	High Order Fast Sweeping Methods for Static Hamilton-Jacobi Equations. J. Sci. Comput. Yong-Tao Zhang, Hong-Kai Zhao, Jianliang Qian
2006	J	`jnl`	Simplex free adaptive tree fast sweeping and evolution methods for solving level set equations in arbitrary dimension. J. Comput. Phys. Thomas C. Cecil, Stanley J. Osher, Jianliang Qian
2003	J	`jnl`	A Slowness Matching Eulerian Method for Multivalued Solutions of Eikonal Equations. J. Sci. Comput. William W. Symes, Jianliang Qian