Fast sweeping method for the factored eikonal equation. - Sergey Fomel; Songting Luo; Hongkai Zhao (J. Comput. Phys., 2009)

Factored singularities and high-order Lax-Friedrichs sweeping schemes for point-source traveltimes and amplitudes. - Songting Luo; Jianliang Qian (J. Comput. Phys., 2011)

A New Approximation for Effective Hamiltonians for Homogenization of a class of Hamilton-Jacobi Equations. - Songting Luo; Yifeng Yu; Hongkai Zhao (Multiscale Model. Simul., 2011)

Fast Sweeping Methods for Factored Anisotropic Eikonal Equations: Multiplicative and Additive Factors. - Songting Luo; Jianliang Qian (J. Sci. Comput., 2012)

A uniformly second order fast sweeping method for eikonal equations. - Songting Luo (J. Comput. Phys., 2013)

A Multiscale Method for Optical Responses of Nanostructures. - Gang Bao 001; Di Liu; Songting Luo (SIAM J. Appl. Math., 2013)

Fast Huygens sweeping methods for Helmholtz equations in inhomogeneous media in the high frequency regime. - Songting Luo; Jianliang Qian; Robert Burridge (J. Comput. Phys., 2014)

Adjoint State Method for the Identification Problem in SPECT: Recovery of Both the Source and the Attenuation in the Attenuated X-Ray Transform. - Songting Luo; Jianliang Qian; Plamen Stefanov (SIAM J. Imaging Sci., 2014)

High-Order Factorization Based High-Order Hybrid Fast Sweeping Methods for Point-Source Eikonal Equations. - Songting Luo; Jianliang Qian; Robert Burridge (SIAM J. Numer. Anal., 2014)

A static PDE Approach for MultiDimensional Extrapolation Using Fast Sweeping Methods. - Tariq D. Aslam; Songting Luo; Hongkai Zhao (SIAM J. Sci. Comput., 2014)

Multiscale modeling and computation of optically manipulated nano devices. - Gang Bao 001; Di Liu; Songting Luo (J. Comput. Phys., 2016)

Babich's Expansion and High-Order Eulerian Asymptotics for Point-Source Helmholtz Equations. - Jianliang Qian; Lijun Yuan; Yuan Liu 018; Songting Luo; Robert Burridge (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. - Jianliang Qian; Wangtao Lu; Lijun Yuan; Songting Luo; Robert Burridge (Multiscale Model. Simul., 2016)

Properties-preserving high order numerical methods for a kinetic eikonal equation. - Songting Luo; Nicholas Payne (J. Comput. Phys., 2017)

An asymptotic method based on a Hopf-Cole transformation for a kinetic BGK equation in the hyperbolic limit. - Songting Luo; Nicholas Payne (J. Comput. Phys., 2017)

Asymptotic Solutions for High Frequency Helmholtz Equations in Anisotropic Media with Hankel Functions. - Matthew Jacobs; Songting Luo (J. Sci. Comput., 2019)

Fast Huygens Sweeping Methods for Time-Dependent Schrödinger Equation with Perfectly Matched Layers. - Songting Luo (SIAM J. Sci. Comput., 2019)

Hybrid Fast Sweeping Methods for Anisotropic Eikonal Equation in Two-Dimensional Tilted Transversely Isotropic Media. - Guangnan Huang; Songting Luo (J. Sci. Comput., 2020)

Numerical solutions for point-source high frequency Helmholtz equation through efficient time propagators for Schrödinger equation. - Matthew Jacobs; Songting Luo (J. Comput. Phys., 2021)

An asymptotic Green's function method for the wave equation. - Jay Mayfield; Yijin Gao; Songting Luo (J. Comput. Phys., 2021)

A Second-Order Fast Huygens Sweeping Method for Time-Dependent Schrödinger Equations with Perfectly Matched Layers. - Yijin Gao; Jay Mayfield; Songting Luo (J. Sci. Comput., 2021)

An asymptotic Green's function method for time-dependent Schrödinger equations with application to Kohn-Sham equations. - Yijin Gao; Jay Mayfield; Gang Bao 001; Di Liu; Songting Luo (J. Comput. Phys., 2022)

A Fixed-Point Iteration Method for High Frequency Helmholtz Equations. - Songting Luo; Qing Huo Liu (J. Sci. Comput., 2022)

A fixed-point iteration method for high frequency vector wave equations. - Songting Luo; Qing Huo Liu (J. Comput. Phys., 2023)

High-order implicit Runge-Kutta Fourier pseudospectral methods for wave equations. - Ian T. Morgan; Youzuo Lin; Songting Luo (Comput. Math. Appl., 2025)

OpenPros: A Large-Scale Dataset for Limited View Prostate Ultrasound Computed Tomography. - Hanchen Wang 008; Yixuan Wu; Yinan Feng; Peng Jin; Shihang Feng; Yiming Mao 014; James Wiskin; Baris Turkbey; Peter A. Pinto; Bradford J. Wood; Songting Luo; Yinpeng Chen; et al. (CoRR, 2025)

Asymptotic Methods for Fractional Helmholtz Equations in the High Frequency Regime. - Yijin Gao; Songting Luo (J. Sci. Comput., 2025)