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2020 – today
- 2023
[j24]Songting Luo, Qing Huo Liu:
A fixed-point iteration method for high frequency vector wave equations. J. Comput. Phys. 490: 112306 (2023)- 2022
- [j23]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: 111272 (2022) - [j22]Songting Luo, Qing Huo Liu:
A Fixed-Point Iteration Method for High Frequency Helmholtz Equations. J. Sci. Comput. 93(2): 74 (2022) - 2021
- [j21]Matthew Jacobs, Songting Luo:
Numerical solutions for point-source high frequency Helmholtz equation through efficient time propagators for Schrödinger equation. J. Comput. Phys. 438: 110357 (2021) - [j20]Jay Mayfield, Yijin Gao, Songting Luo:
An asymptotic Green's function method for the wave equation. J. Comput. Phys. 446: 110655 (2021) - [j19]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): 49 (2021) - 2020
- [j18]Guangnan Huang, Songting Luo:
Hybrid Fast Sweeping Methods for Anisotropic Eikonal Equation in Two-Dimensional Tilted Transversely Isotropic Media. J. Sci. Comput. 84(2): 32 (2020)
2010 – 2019
- 2019
- [j17]Matthew Jacobs, Songting Luo:
Asymptotic Solutions for High Frequency Helmholtz Equations in Anisotropic Media with Hankel Functions. J. Sci. Comput. 80(2): 808-833 (2019) - [j16]Songting Luo:
Fast Huygens Sweeping Methods for Time-Dependent Schrödinger Equation with Perfectly Matched Layers. SIAM J. Sci. Comput. 41(2): A877-A899 (2019) - 2017
- [j15]Songting Luo, Nicholas Payne:
Properties-preserving high order numerical methods for a kinetic eikonal equation. J. Comput. Phys. 331: 73-89 (2017) - [j14]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: 295-312 (2017) - 2016
- [j13]Gang Bao, Di Liu, Songting Luo:
Multiscale modeling and computation of optically manipulated nano devices. J. Comput. Phys. 316: 558-572 (2016) - [j12]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): 883-908 (2016) - [j11]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): 595-636 (2016) - 2014
- [j10]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: 378-401 (2014) - [j9]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): 696-715 (2014) - [j8]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): 23-44 (2014) - [j7]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) - 2013
- [j6]Songting Luo:
A uniformly second order fast sweeping method for eikonal equations. J. Comput. Phys. 241: 104-117 (2013) - [j5]Gang Bao, Di Liu, Songting Luo:
A Multiscale Method for Optical Responses of Nanostructures. SIAM J. Appl. Math. 73(2): 741-756 (2013) - 2012
- [j4]Songting Luo, Jianliang Qian:
Fast Sweeping Methods for Factored Anisotropic Eikonal Equations: Multiplicative and Additive Factors. J. Sci. Comput. 52(2): 360-382 (2012) - 2011
- [j3]Songting Luo, Jianliang Qian:
Factored singularities and high-order Lax-Friedrichs sweeping schemes for point-source traveltimes and amplitudes. J. Comput. Phys. 230(12): 4742-4755 (2011) - [j2]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): 711-734 (2011)
2000 – 2009
- 2009
- [j1]Sergey Fomel, Songting Luo, Hongkai Zhao:
Fast sweeping method for the factored eikonal equation. J. Comput. Phys. 228(17): 6440-6455 (2009)
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