Songting Luo

Orcid: 0000-0003-2904-9169

According to our database1, Songting Luo authored at least 24 papers between 2009 and 2023.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

Timeline

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Bibliography

2023
A fixed-point iteration method for high frequency vector wave equations.
J. Comput. Phys., 2023

2022
A Fixed-Point Iteration Method for High Frequency Helmholtz Equations.
J. Sci. Comput., 2022

An asymptotic Green's function method for time-dependent Schrödinger equations with application to Kohn-Sham equations.
J. Comput. Phys., 2022

2021
A Second-Order Fast Huygens Sweeping Method for Time-Dependent Schrödinger Equations with Perfectly Matched Layers.
J. Sci. Comput., 2021

An asymptotic Green's function method for the wave equation.
J. Comput. Phys., 2021

Numerical solutions for point-source high frequency Helmholtz equation through efficient time propagators for Schrödinger equation.
J. Comput. Phys., 2021

2020
Hybrid Fast Sweeping Methods for Anisotropic Eikonal Equation in Two-Dimensional Tilted Transversely Isotropic Media.
J. Sci. Comput., 2020

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

Asymptotic Solutions for High Frequency Helmholtz Equations in Anisotropic Media with Hankel Functions.
J. Sci. Comput., 2019

2017
An asymptotic method based on a Hopf-Cole transformation for a kinetic BGK equation in the hyperbolic limit.
J. Comput. Phys., 2017

Properties-preserving high order numerical methods for a kinetic eikonal equation.
J. Comput. Phys., 2017

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's Expansion and High-Order Eulerian Asymptotics for Point-Source Helmholtz Equations.
J. Sci. Comput., 2016

Multiscale modeling and computation of optically manipulated nano devices.
J. Comput. Phys., 2016

2014
A static PDE Approach for MultiDimensional Extrapolation Using Fast Sweeping Methods.
SIAM J. Sci. Comput., 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

2013
A Multiscale Method for Optical Responses of Nanostructures.
SIAM J. Appl. Math., 2013

A uniformly second order fast sweeping method for eikonal equations.
J. Comput. Phys., 2013

2012
Fast Sweeping Methods for Factored Anisotropic Eikonal Equations: Multiplicative and Additive Factors.
J. Sci. Comput., 2012

2011
A New Approximation for Effective Hamiltonians for Homogenization of a class of Hamilton-Jacobi Equations.
Multiscale Model. Simul., 2011

Factored singularities and high-order Lax-Friedrichs sweeping schemes for point-source traveltimes and amplitudes.
J. Comput. Phys., 2011

2009
Fast sweeping method for the factored eikonal equation.
J. Comput. Phys., 2009


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