Songting Luo

27 papers Journal 27
YearRankTypeTitle / Venue / Authors
2025 J jnl
Asymptotic Methods for Fractional Helmholtz Equations in the High Frequency Regime.
J. Sci. Comput.
Yijin Gao, Songting Luo
2025 J jnl
High-order implicit Runge-Kutta Fourier pseudospectral methods for wave equations.
Comput. Math. Appl.
Ian T. Morgan, Youzuo Lin, Songting Luo
2025 J jnl
OpenPros: A Large-Scale Dataset for Limited View Prostate Ultrasound Computed Tomography.
CoRR
Hanchen Wang, Yixuan Wu, Yinan Feng, Peng Jin, Shihang Feng, Yiming Mao, James Wiskin, Baris Turkbey, Peter A. Pinto, Bradford J. Wood, Songting Luo, Yinpeng Chen, Emad Boctor, Youzuo Lin
2023 J jnl
A fixed-point iteration method for high frequency vector wave equations.
J. Comput. Phys.
Songting Luo, Qing Huo Liu
2022 J jnl
A Fixed-Point Iteration Method for High Frequency Helmholtz Equations.
J. Sci. Comput.
Songting Luo, Qing Huo Liu
2022 J jnl
An asymptotic Green's function method for time-dependent Schrödinger equations with application to Kohn-Sham equations.
J. Comput. Phys.
Yijin Gao, Jay Mayfield, Gang Bao, Di Liu, Songting Luo
2021 J jnl
A Second-Order Fast Huygens Sweeping Method for Time-Dependent Schrödinger Equations with Perfectly Matched Layers.
J. Sci. Comput.
Yijin Gao, Jay Mayfield, Songting Luo
2021 J jnl
An asymptotic Green's function method for the wave equation.
J. Comput. Phys.
Jay Mayfield, Yijin Gao, Songting Luo
2021 J jnl
Numerical solutions for point-source high frequency Helmholtz equation through efficient time propagators for Schrödinger equation.
J. Comput. Phys.
Matthew Jacobs, Songting Luo
2020 J jnl
Hybrid Fast Sweeping Methods for Anisotropic Eikonal Equation in Two-Dimensional Tilted Transversely Isotropic Media.
J. Sci. Comput.
Guangnan Huang, Songting Luo
2019 J jnl
Asymptotic Solutions for High Frequency Helmholtz Equations in Anisotropic Media with Hankel Functions.
J. Sci. Comput.
Matthew Jacobs, Songting Luo
2019 J jnl
Fast Huygens Sweeping Methods for Time-Dependent Schrödinger Equation with Perfectly Matched Layers.
SIAM J. Sci. Comput.
Songting Luo
2017 J jnl
An asymptotic method based on a Hopf-Cole transformation for a kinetic BGK equation in the hyperbolic limit.
J. Comput. Phys.
Songting Luo, Nicholas Payne
2017 J jnl
Properties-preserving high order numerical methods for a kinetic eikonal equation.
J. Comput. Phys.
Songting Luo, Nicholas Payne
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
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
Multiscale modeling and computation of optically manipulated nano devices.
J. Comput. Phys.
Gang Bao, Di Liu, Songting Luo
2014 J jnl
A static PDE Approach for MultiDimensional Extrapolation Using Fast Sweeping Methods.
SIAM J. Sci. Comput.
Tariq D. Aslam, Songting Luo, Hongkai Zhao
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
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
A Multiscale Method for Optical Responses of Nanostructures.
SIAM J. Appl. Math.
Gang Bao, Di Liu, Songting Luo
2013 J jnl
A uniformly second order fast sweeping method for eikonal equations.
J. Comput. Phys.
Songting Luo
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
A New Approximation for Effective Hamiltonians for Homogenization of a class of Hamilton-Jacobi Equations.
Multiscale Model. Simul.
Songting Luo, Yifeng Yu, 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
2009 J jnl
Fast sweeping method for the factored eikonal equation.
J. Comput. Phys.
Sergey Fomel, Songting Luo, Hongkai Zhao