Jianliang Qian
Orcid: 0000-0003-3058-0096
According to our database1,
Jianliang Qian
authored at least 56 papers
between 2003 and 2024.
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Bibliography
2024
Hadamard integrator for time-dependent wave equations: Lagrangian formulation via ray tracing.
J. Comput. Phys., January, 2024
Optimal rate of convergence in periodic homogenization of viscous Hamilton-Jacobi equations.
CoRR, 2024
Hadamard integrators for wave equations in time and frequency domain: Eulerian formulations via butterfly algorithms.
CoRR, 2024
2023
A Fast Butterfly-Compressed Hadamard-Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources.
Multiscale Model. Simul., March, 2023
2022
Learning rays via deep neural network in a ray-based IPDG method for high-frequency Helmholtz equations in inhomogeneous media.
J. Comput. Phys., 2022
An Efficient Operator-Splitting Method for the Eigenvalue Problem of the Monge-Ampère Equation.
CoRR, 2022
2021
A Level-Set Adjoint-State Method for Transmission Traveltime Tomography in Irregular Domains.
SIAM J. Sci. Comput., 2021
Fast Multiscale Gaussian Beam Method for Three-Dimensional Elastic Wave Equations in Bounded Domains.
SIAM J. Numer. Anal., 2021
Hadamard-Babich Ansatz for Point-Source Elastic Wave Equations in Variable Media at High Frequencies.
Multiscale Model. Simul., 2021
J. Sci. Comput., 2021
2020
Efficient Algorithms for Computing Multidimensional Integral Fractional Laplacians via Spherical Means.
SIAM J. Sci. Comput., 2020
On the Numerical Solution of Nonlinear Eigenvalue Problems for the Monge-Ampère Operator.
CoRR, 2020
Newton-type Gauss-Seidel Lax-Friedrichs high-order fast sweeping methods for solving generalized eikonal equations at large-scale discretization.
Comput. Math. Appl., 2020
Appl. Math. Lett., 2020
2019
Numerical Microlocal Analysis by Fast Gaussian Wave Packet Transforms and Application to High-Frequency Helmholtz Problems.
SIAM J. Sci. Comput., 2019
Analysis of Regularized Kantorovich-Rubinstein Metric and Its Application to Inverse Gravity Problems.
SIAM J. Imaging Sci., 2019
A Finite Element/Operator-Splitting Method for the Numerical Solution of the Three Dimensional Monge-Ampère Equation.
J. Sci. Comput., 2019
Correction to: A Finite Element/Operator-Splitting Method for the Numerical Solution of the Two Dimensional Elliptic Monge-Ampère Equation.
J. Sci. Comput., 2019
A Finite Element/Operator-Splitting Method for the Numerical Solution of the Two Dimensional Elliptic Monge-Ampère Equation.
J. Sci. Comput., 2019
2018
SIAM J. Sci. Comput., 2018
Perfectly Matched Layer Boundary Integral Equation Method for Wave Scattering in a Layered Medium.
SIAM J. Appl. Math., 2018
Extending Babich's Ansatz for Point-Source Maxwell's Equations Using Hadamard's Method.
Multiscale Model. Simul., 2018
A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media.
J. Comput. Phys., 2018
2017
A fast Huygens sweeping method for capturing paraxial multi-color optical self-focusing in nematic liquid crystals.
J. Comput. Phys., 2017
A ray-based IPDG method for high-frequency time-domain acoustic wave propagation in inhomogeneous media.
J. Comput. Phys., 2017
2016
Operator-Splitting Based Fast Sweeping Methods for Isotropic Wave Propagation in a Moving Fluid.
SIAM J. Sci. Comput., 2016
Eulerian Geometrical Optics and Fast Huygens Sweeping Methods for Three-Dimensional Time-Harmonic High-Frequency Maxwell's Equations in Inhomogeneous Media.
Multiscale Model. Simul., 2016
Babich-Like Ansatz for Three-Dimensional Point-Source Maxwell's Equations in an Inhomogeneous Medium at High Frequencies.
Multiscale Model. Simul., 2016
Babich's Expansion and High-Order Eulerian Asymptotics for Point-Source Helmholtz Equations.
J. Sci. Comput., 2016
Babich's expansion and the fast Huygens sweeping method for the Helmholtz wave equation at high frequencies.
J. Comput. Phys., 2016
2015
A Penalization-Regularization-Operator Splitting Method for Eikonal Based Traveltime Tomography.
SIAM J. Imaging Sci., 2015
2014
High-Order Factorization Based High-Order Hybrid Fast Sweeping Methods for Point-Source Eikonal Equations.
SIAM J. Numer. Anal., 2014
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., 2014
Fast Huygens sweeping methods for Helmholtz equations in inhomogeneous media in the high frequency regime.
J. Comput. Phys., 2014
J. Comput. Phys., 2014
2013
Math. Comput., 2013
2012
Fast Sweeping Methods for Factored Anisotropic Eikonal Equations: Multiplicative and Additive Factors.
J. Sci. Comput., 2012
2011
An Efficient Neumann Series-Based Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed.
SIAM J. Imaging Sci., 2011
Factored singularities and high-order Lax-Friedrichs sweeping schemes for point-source traveltimes and amplitudes.
J. Comput. Phys., 2011
2010
Optimal Convergence of the Original DG Method on Special Meshes for Variable Transport Velocity.
SIAM J. Numer. Anal., 2010
Fast Multiscale Gaussian Wavepacket Transforms and Multiscale Gaussian Beams for the Wave Equation.
Multiscale Model. Simul., 2010
J. Comput. Phys., 2010
The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation.
J. Comput. Phys., 2010
2009
J. Comput. Phys., 2009
2008
Legendre-transform-based fast sweeping methods for static Hamilton-Jacobi equations on triangulated meshes.
J. Comput. Phys., 2008
2007
SIAM J. Numer. Anal., 2007
J. Sci. Comput., 2007
2006
Approximations for Viscosity Solutions of Hamilton-Jacobi Equations With Locally Varying Time and Space Grids.
SIAM J. Numer. Anal., 2006
J. Sci. Comput., 2006
J. Sci. Comput., 2006
Simplex free adaptive tree fast sweeping and evolution methods for solving level set equations in arbitrary dimension.
J. Comput. Phys., 2006
2003
J. Sci. Comput., 2003