Publications

  1. Paraxial eikonal solvers for anisotropic Quasi-P traveltimes, J. Qian and W. W. Symes, J. Comput. Phys. 173(2001), 256-278. pdf

  2. A full aperture anisotropic eikonal solver for Quasi-P traveltimes, J. Qian, W. W. Symes and J. A. Dellinger, 71st Internat. Mtg, Soc. Expl. Geophys. Expanded Abstracts., 2001, pp. 129-132. pdf

  3. An adaptive finite-difference method for traveltimes and amplitudes, J. Qian and W. W. Symes, Geophysics 67(2002), 167-176. pdf

  4. Finite-difference Quasi-P traveltimes for anisotropic media, J. Qian and W. W. Symes, Geophysics 67(2002), 147-155. pdf

  5. Paraxial geometrical optics for quasi-P waves: theories and numerical methods, J. Qian and W. W. Symes, Wave Motion 35(2002), 205-221. pdf

  6. Continuous dependence results for Hamilton-Jacobi equations, B. Cockburn and J. Qian, Collected lectures on the preservation of stability under discretization, Edited by D. Estep and S. Tavener, SIAM, 2002. pdf

  7. A level set based Eulerian approach for anisotropic wave propagations, J. Qian, L.-T. Cheng and S. Osher, Wave Motion 37(2003), 365-379. pdf

  8. A slowness matching Eulerian method for multivalued solutions of eikonal equations, W. W. Symes and J. Qian, J. Sci. Comput. 19(2003), 501-526. pdf

  9. Level set based Eulerian method for multivalued traveltimes in both isotropic and anisotropic wave propagations, J. Qian, L.-T. Cheng and S. Osher, SEG 2003, PP. 1801-1804. pdf

  10. A paraxial formualtion for the viscosity solution of quasi-P eikonal equations, J. Qian and W. W. Symes, Computers and Mathematics with Applications 46(2003), 1691-1701. pdf

  11. Lax-Friedrichs sweeping scheme for Static Hamilton-Jacobi equations, C. Kao, S.J. Osher and J. Qian. J. Comput. Phys. 196(2004), 367-391. pdf .

  12. Numerical methods for high dimensional Hamilton-Jacobi equations using Radial Basis Functions, T. Cecil, J. Qian and S. Osher, J. Comput. Phys. 196(2004), 327-347. pdf

  13. A level set method for multivalued solutions of paraxial eikonal equations, J. Qian and S. Y. Leung, J. Comput. Phys. 197(2004), 711-736. pdf

  14. Higher order fast sweeping methods for eikonal equations, Y. T. Zhang, H. K. Zhao and J. Qian, SEG 2004, PP. 1901-1904. pdf

  15. A Level Set Method for Three-dimensional Paraxial Geometrical Optics with Multiple Sources, S. Y. Leung, J. Qian and S. J. Osher, Commun. Math. Sci. 2(2004), 643--672. pdf

  16. An Accurate Spectral/Discontinuous Finite-Element Formulation of a Phase-Space-Based Level Set Approach to Geometrical Optics, B. Cockburn, J. Qian, F. Reitich and J. Wang, J. Comput. Phys. 208(2005), 175-195. pdf

  17. A Transmission Tomography Problem Based on Multiple Arrivals from Paraxial Liouville Equations, S. Y. Leung and J. Qian, SEG 2005, PP 2589-2592.

  18. Approximations for viscosity solutions of Hamilton-Jacobi equations with locally varying time and space grids, J. Qian, SIAM Numer. Anal. 43(2006), 2371-2401.

  19. A local level set method for paraxial geometrical optics, J. Qian and S. Y. Leung, SIAM J. Sci. Comput. 28(2006), 206--223.

  20. High order fast sweeping methods for static Hamilton-Jacobi equations, Y.T. Zhang, H.K. Zhao and J. Qian, J. Sci. Comput. 29(2006), 25-56. pdf

  21. The fundamental solution of the time dependent system of crystal optics, R. Burridge and J. Qian, Euro. J. Applied Math. 17(2006), 63-94. pdf

  22. Fifth Order Weighted Power-ENO Schemes for Hamilton-Jacobi Equations, S. Serna and J. Qian, J. Sci. Comput. 29(2006), 57-81. pdf

  23. Simplex Free Adaptive Tree Fast Sweeping and Evolution Methods for Solving Level Set Equations in Arbitrary Dimension, T.C. Cecil, Stanley Osher and J. Qian, J. Comput. Phys. 213(2006), 458-473. pdf

  24. An adjoint state method for 3-D transmission traveltime tomography using first-arrivals, S. Leung and J. Qian, Comm. Math. Sci. 4(2006), 249-266. pdf

  25. Fast sweeping methods for eikonal equations on triangulated meshes, J. Qian, Y. T. Zhang and H.-K. Zhao, SIAM J. Numer. Analy. 45(2007), 83-107.

  26. Numerical simulations of subcooled nucleate boiling by coupling level set method with moving mesh method, J. WU, V. K. Dhir and J. Qian, Numerical Heat Transfer, Part B. 51(2007), 535-563. pdf

  27. Fast sweeping methods for stationary Hamilton-Jacobi equations on triangulated meshes, J. Qian, Y. T. Zhang and H.-K. Zhao, J. Scientific Computing 31(2007), 237-271. pdf

  28. A new phase space method for recovering index of refraction from travel times, E. Chung, J. Qian, G. Uhlmann, and H.-K. Zhao, Inverse Problems 23(2007), 309-329. UCLA CAM07-02.

  29. Transmission traveltime tomography based on paraxial Liouville equations and level set formulations, S. Leung and J. Qian, Inverse Problems 23(2007), 799-821.

  30. Mountain waves and Gaussian beams, N. M. Tanushev, J. Qian, and J. Ralston, SIAM J. Multiscale Modeling and Simulation 6(2007), 688-709. pdf

  31. Eulerian Gaussian beams for high frequency wave propagation, S. Leung, J. Qian and R. Burridge, Geophysics 72(2007), SM61-SM76. pdf

  32. A phase-space formulation for elastic traveltime tomography, E. Chung, J. Qian, G. Uhlmann and H. K. Zhao Journal of Physics: Conference Series 124(2008): 012018. pdf

  33. Essentially Non-Oscillatory Adaptive Tree Methods, Thomas C. Cecil, S. J. Osher and J. Qian, J. Scientific Computing, 35(2008), 25-41. pdf

  34. Legendre transform based fast sweeping methods for static Hamilton-Jacobi equations on triangulated meshes, C.Y. Kao, S. J. Osher and J. Qian, J. Computational Physics, to appear. pdf

  35. Eulerian Gaussian beams for Schrodinger equations in the semi-classical regime, S. Leung and J. Qian, J. Computational Physics, 228(2009) 2951-2977. pdf

Last update: August 21, 2007.