Publications and Preprints

  1. S. Fomel, S. Luo and H. Zhao, Fast sweeping method for the factored eikonal equation, J. Comput. Phys., Vol. 228, No. 17 (2009) 6440-6455 pdf

  2. J. D. Benamou, S. Luo and H. Zhao, A compact upwind second order scheme for the Eikonal equation, J. Comput. Math., Vol. 28, No.4, 2010, 489-516. pdf

  3. S. Luo, L. J. Guibas and H. Zhao, Euclidean Skeletons Using Closest Points, Inverse problem and Imaging Vol. 5 Issue 1, 95-113 (2011) pdf

  4. S. Luo, Y. Yu and H. Zhao, A new approximation for effective Hamiltonians for homogenizations of a class of Hamilton-Jacobi equations, Multiscale Model. Simul. Vol. 9 Issue 2, 711-734 (2011) pdf

  5. S. Luo, S. Leung and J. Qian, An Adjoint State Method for Numerical Approximation of Continuous Traffic Congestion Equilibria, Commun. Comput. Phys. 10, 1113-1131. (2011) pdf

  6. S. Luo and J. Qian, Factored singularities and high-order Lax-Friedrichs sweeping schemes for point-source traveltimes and amplitudes, J. Comput. Phys.. 230 (2011) 4742-4755. pdf

  7. S. Luo, J. Qian and H. Zhao, Higher-order schemes for 3-D first arrival traveltimes and amplitudes, Geophysics, 77(2):T47-T56, 2012. pdf

  8. S. Luo and J. Qian, Fast sweeping method for anisotropic eikonal equations: additive and multiplicative factors, J. Sci. Comput. Volume 52, Issue 2, pp 360-382, 2012. pdf

  9. S. Luo, A uniformly second order fast sweeping method for eikonal equations, J. Comput. Phys., Vol. 241 (2013) pp 104-117 pdf

  10. G. Bao, G. Hu, D. Liu and S. Luo, MultiPhysical Modeling and Multiscale Computation of Nano Optical Responses, Contemporary Mathematics, vol. 586, Amer. Math. Soc., Providence, RI, 2013, pp. 43-55. pdf

  11. G. Bao, D. Liu and S. Luo, A Multiscale Method for Optical Responses of NanoStructures, SIAM J. Appl. Math., 73(2), 741-756, 2013. pdf

  12. S. Luo, J. Qian and R. Burridge, High-order Factorizations and High-order Schemes for Point-source Eiknoal equations, SIAM J. Numer. Anal. 52-1 (2014), pp. 23-44. pdf

  13. S. Luo, J. Qian and P. 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), 696-715. pdf

  14. S. Luo, J. Qian and R. Burridge, Fast Huygens sweeping methods for Helmholtz equations in inhomogeneous media in the high frequency regime, Journal of Computational Physics, Volume 270 (2014), pp. 378-401. pdf

  15. T. Aslam, S. Luo and H. Zhao, A static PDE approach to multi-dimensional extrapolations using fast sweeping methods, SIAM J. Sci. Comput., 36(6), A2907-A2928, 2014. pdf

  16. J. Qian, S. Luo and R. Burridge, Fast Huygens sweeping methods for multi-arrival Green's functions of Helmholtz equations in the high frequency regime, Geophysics, 80(2), T91-T100, 2015. pdf

  17. J. Qian, L. Yuan, Y. Liu, S. Luo and R. Burridge, Babich's Expansion and High-Order Eulerian Asymptotics for Point-Source Helmholtz Equations, J. Sci. Comput., (first online 1-22, Sept.2015), Volume 67, Issue 3, pp 883-908, 2016. pdf

  18. S. Luo, H. Tran and Y. Yu, Some inverse problems in periodic homogenization of Hamilton-Jacobi equations, Archive for Rational Mechanics and Analysis, Volume 221, Issue 3, pp 1585-1617 (first online 1-33, March 2016). pdf

  19. J. Qian, W. Lu, L. Yuan, S. Luo and R. Burridge, Eulerian Geometrical Optics and Fast Huygens Sweeping Methods for Three-Dimensional Time-Harmonic High-Frequency Maxwell's Equations in Inhomogeneous Media, SIAM Multiscale Model. Simul., 14(2), 595-636, 2016. pdf

  20. G. Bao, D. Liu, and S. Luo, Multiscale Modeling and Computation of Optically Manipulated Nano Devices, J. Comput. Phys., Volume 316, 1, 558-572, 2016. pdf

  21. S. Luo and H. Zhao, Convergence Analysis of Fast Sweeping Method for Static Convex Hamilton-Jacobi equations, Research in the Mathematical Sciences, Volume 3, 35-62, 2016. pdf

  22. S. Luo and N. Payne, Properties-preserving high order numerical methods for a kinetic eikonal equation, Journal of Computational Physics, Volume 331, 73-89, 2017. pdf

  23. S. Luo and N. Payne, An asymptotic method based on a Hopf-Cole transformation for a kinetic BGK equation in the hyperbolic limit, Journal of Computational Physics, Volume 341, 295-312, 2017. pdf

  24. G. Huang, Q. Hu, S. Luo, H. Li, H. Zhang, D. C. Nobes, 2-D fast sweeping method for the factored Eikonal equation and its improvement on inversion accuracy, Journal of Applied Geophysics, Volume 166, Pages 68-76, 2019, pdf

  25. S. Luo, Fast Huygens Sweeping Methods for Time-Dependent Schrödinger Equation with Perfectly Matched Layers, SIAM Journal on Scientific Computing, Volume 41, Number 22, A877-A899, 2019. pdf

  26. G. Huang and S. Luo and T. Ari and H. Li and D. C. Nobes, First-arrival tomography with fast sweeping method solving the factored eikonal equation, Exploration Geophysics, Volume 50, Number 2, 144-158, 2019. pdf

  27. M. Jacobs and S. Luo, Asymptotic Solutions for High Frequency Helmholtz Equations in Anisotropic Media with Hankel Functions, Journal of Scientific Computing, Volume 80, Number 2, 808-833, 2019. pdf

  28. G. Bao, G. Hu, D. Liu, and S. Luo, Modeling and Computation of Nano Optics, under review. pdf