Songting Luo

Publication Activity (10 Years)

Years Active: 2009-2023
Publications (10 Years): 14

Top Topics

Top Venues

J. Comput. Phys.

J. Sci. Comput.

SIAM J. Sci. Comput.

SIAM J. Numer. Anal.

Publications

Songting Luo, Qing Huo Liu
A fixed-point iteration method for high frequency vector wave equations. J. Comput. Phys. 490 (2023)
Songting Luo, Qing Huo Liu
A Fixed-Point Iteration Method for High Frequency Helmholtz Equations. J. Sci. Comput. 93 (2) (2022)
Yijin Gao, Jay Mayfield, Gang Bao, Di Liu, Songting Luo
An asymptotic Green's function method for time-dependent Schrödinger equations with application to Kohn-Sham equations. J. Comput. Phys. 463 (2022)
Yijin Gao, Jay Mayfield, Songting Luo
A Second-Order Fast Huygens Sweeping Method for Time-Dependent Schrödinger Equations with Perfectly Matched Layers. J. Sci. Comput. 88 (3) (2021)
Matthew Jacobs, Songting Luo
Numerical solutions for point-source high frequency Helmholtz equation through efficient time propagators for Schrödinger equation. J. Comput. Phys. 438 (2021)
Jay Mayfield, Yijin Gao, Songting Luo
An asymptotic Green's function method for the wave equation. J. Comput. Phys. 446 (2021)
Guangnan Huang, Songting Luo
Hybrid Fast Sweeping Methods for Anisotropic Eikonal Equation in Two-Dimensional Tilted Transversely Isotropic Media. J. Sci. Comput. 84 (2) (2020)
Songting Luo
Fast Huygens Sweeping Methods for Time-Dependent Schrödinger Equation with Perfectly Matched Layers. SIAM J. Sci. Comput. 41 (2) (2019)
Matthew Jacobs, Songting Luo
Asymptotic Solutions for High Frequency Helmholtz Equations in Anisotropic Media with Hankel Functions. J. Sci. Comput. 80 (2) (2019)
Songting Luo, Nicholas Payne
An asymptotic method based on a Hopf-Cole transformation for a kinetic BGK equation in the hyperbolic limit. J. Comput. Phys. 341 (2017)
Songting Luo, Nicholas Payne
Properties-preserving high order numerical methods for a kinetic eikonal equation. J. Comput. Phys. 331 (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)
Gang Bao, Di Liu, Songting Luo
Multiscale modeling and computation of optically manipulated nano devices. J. Comput. Phys. 316 (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)
Tariq D. Aslam, Songting Luo, Hongkai Zhao
A static PDE Approach for MultiDimensional Extrapolation Using Fast Sweeping Methods. SIAM J. Sci. Comput. 36 (6) (2014)
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)
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)
Gang Bao, Di Liu, Songting Luo
A Multiscale Method for Optical Responses of Nanostructures. SIAM J. Appl. Math. 73 (2) (2013)
Songting Luo
A uniformly second order fast sweeping method for eikonal equations. J. Comput. Phys. 241 (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)
Songting Luo, Yifeng Yu, Hongkai Zhao
A New Approximation for Effective Hamiltonians for Homogenization of a class of Hamilton-Jacobi Equations. Multiscale Model. Simul. 9 (2) (2011)
Sergey Fomel, Songting Luo, Hongkai Zhao
Fast sweeping method for the factored eikonal equation. J. Comput. Phys. 228 (17) (2009)