Home » Publications » 2013-2017
  1. Z. Gao, X. Wen, W.S. Don, Enhanced robustness of the hybrid Compact-WENO finite difference scheme for hyperbolic conservation laws with multi-resolution analysis and Tukey's boxplot method, J. Sci. Comput.73(2-3), 736-752, 2017
  2. A.Z. Cao, Z. Guo, X.Q. Lv, J.B. Song, J.C. Zhang, Coherent and incoherent features, seasonal behaviors and spatial variations of internal tides in the northern South China Sea, J. Marine Syst., 172, 75-83, 2017
  3. Z. Gao, G.H. Hu, High order well-balanced weighted compact nonlinear schemes for shallow water equations, Commun. Comput. Phy. 22(4): 1049-1068, 2017
  4. Q.Q. Zhu, Z. Gao, W.S. Don, X.Q. Lv, Well-balanced hybrid compact-WENO scheme for shallow water equations, Appl. Numer. Math., 112: 65-78, 2017
  5. A. Chaudhuri, G. Jacobs, W.S. Don, H. Abbassi, F. Mashayek, Artificial entropy viscosity based high-order 3D discontinuous spectral element scheme for capturing shocks, J. Comput. Phys. 332: 99-117, 2017
  6. K. Fu, D. Liang, The Time Second Order Mass Conservative Characteristic FDM for Advection-Diffusion Equations in High Dimensions, J. Sci. Comput., 73: 26-49, 2017
  7. H. Tian, L.L. Ju, Q. Du, A novel conservative nonlocal convection-diffusion model and its finite difference approximations, Comput. Methods Appl. Mech. Engrg., 320: 46-67, 2017
  8. X. Wen, Z. Gao, W.S. Don, Y.L. Xing, P. Li, Application of positivity-preserving well-balanced discontinuous Galerkin method in computational hydrology, Comput. Fluids 139: 112-119, 2016
  9. C. Wang, P. Li, Z. Gao, W.S. Don, Three-dimensional detonation simulations with the mapped WENO-Z finite difference scheme, Comput. Fluids 139: 105-111, 2016
  10. H.Q. Zhu, Z. Gao, An h-adaptive RKDG method with troubled-cell indicator for one-dimensional detonation wave simulations, Adv. Comput. Math. 42: 1081-1102, 2016
  11. W.S. Don, Z. Gao, P. Li, X. Wen, Hybrid Compact-WENO finite difference scheme with conjugate Fourier shock detection algorithm for hyperbolic conservation laws, SIAM J. Sci. Comput. 38(2): A691-A711, 2016
  12. D. Liang, K. Fu, W. Wang, Modelling multi-component aerosol transport problems by the efficient splitting characteristic method, Atmos. Env., 144: 297-314, 2016
  13. Y.Z. Liu, J.Yu, Y.L. Shen, X.Q. Lv, A Modified Interpolation Method for Surface Total Nitrogen in the Bohai Sea, J. Atmos. Ocean. Tech., 32(7), 1509-1517, 2016.
  14. K. Fu, D. Liang, The conservative characteristic FD methods for atmospheric aerosol transport problems, J. Comput. Phys., 305: 494-520, 2016
  15. Z.F. Wu, S. Li, X.Y. Zeng, Y.S. Xu, A. Krol, Reducing staircasing artifacts in SPECT reconstruction by an infimal convolution regularization, J. Comput. Math., 34(6):626-647, 2016.
  16. L.X. Shen, Y.S. Xu, X.Y. Zeng, Wavelet inpainting with the L0 sparse regularization, Appl. Comput. Harmon. A., 41(1): 21-53, 2016.
  17. W. Zheng, J.H. Zhang, S. Li, X.Y. Zeng, C. Schmidtlein, D. Feiglin, Y.S. Xu, A. Krol, New ECT reconstruction algorithm with L0 regularizer, J. Nucl. Med. , 57:supplement 2 1968, 2016.
  18. X.M. Gao, Z.X. Wei, X.Q. Lv, Y.G. Wang, G.H. Fang, Numerical study of tidal dynamics in the South China Sea with adjoint method, Ocean Model., 92, 101-114, 2015
  19. A.Z. Cao, B.T. Li, X.Q. Lv, Extraction of internal tidal currents and reconstruction of full-depth tidal currents from mooring observations, J. Atmos. Ocean. Tech., Vol. 32, No. 7, 1414-1424, 2015
  20. A.Z. Cao, D.S. Wang, X.Q. Lv, Harmonic analysis in the simulation of multiple constituents: Determination of the optimum length of time series, J. Atoms. Ocean. Tech., Vol. 32, No. 5, 1112-1118, 2015
  21. Y.P. Niu, Z. Gao, W.S. Don, S.S. Xie, P. Li, Hybrid Compact-WENO finite difference scheme for detonation waves simulations, R.M. Kirby et al. (eds.), Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering 106, DOI 10.1007/978-3-319-19800-2_14, 179-187, 2015
  22. P. Li, Z. Gao, W.S. Don, S.S. Xie, Hybrid Fourier-continuation method and weighted essentially non-oscillatory finite difference scheme for conservation laws in a single-domain framework, J. Sci. Comput. 64(3): 670-695, 2015
  23. F.L. Jia, Z. Gao, W.S. Don, A spectral study on the dissipation and dispersion of the WENO schemes, J. Sci. Comput. 63(1): 49-77, 2015
  24. H. Tian, L.L. Ju, Q. Du, Nonlocal convection-diffusion problems and finite element approximations, Comput. Methods Appl. Mech. Engrg., 289: 60-78, 2015
  25. K. Fu, D. Liang, W. Wang, M. Cui, The time second-order characteristic FEM for nonlinear multi-component aerosol dynamic equations in environment, International Journal of Numerical Analysis and Modeling, 12(2): 211-229, 2015
  26. F. Zhou, X. Y. Zeng, L. H. Yang, A regularized sparse representation method, ACTA Mathematica Sinica-Chinese Series, 58(4): 649-660, 2015.
  27. H.B. Chen, A.Z. Cao, J.C. Zhang, C.B. Miao, X.Q. Lv, Estimation of spatially varying open boundary conditions for a numerical internal tidal model with adjoint method, Math. Comput. Simulat., 97, 14-38, 2014
  28. M. Cui, K. Fu, D. Liang, Y. Cheng, W. Wang, Numerical analysis of the second-order characteristic FEM for nonlinear aerosol dynamic equations. J. Comput. Appl. Math., 261: 48-61, 2014
  29. D. Liang, K. Fu, W. Wang, "Efficient splitting characteristic method for solving multi-component aerosol spatial transports in atmospheric environment". ADVCOMP 2014 : The Eighth International Conference on Advanced Engineering Computing and Applications in Sciences, IARIA, ISBN: 978-1-61208-354-4, (2014), 7-11.2
  30. H. Wang, Hao Tian, A fast and faithful collocation method with efficient matrix assembly for a two-dimensional nonlocal diffusion model, Comput. Methods Appl. Mech. Engrg., 273: 19-36, 2014
  31. J.P. Suarez, G.B. Jacobs, W.S. Don, A High-Order Dirac-Delta Regularization with Optimal Scaling in the Spectral Solution of One-dimensional Singular Hyperbolic Conservation Laws, SIAM J. Sci. Comput. 36 (4): 1831-1849, 2014
  32. Z. Gao, T. Zhou, On the choice of nodal sets for least square polynomial approximation with application to uncertainty quantification, Commun. Comput. Phys. 16: 365-381, 2014
  33. F.S. Chen, L.X. Shen, Y.S. Xu, X.Y. Zeng, The Moreau envelope approach for the L1/TV image denoising model, Inverse Probl. Imag., 8(1): 53-77, 2014.
  34. H.Y. Xiao, X.Y. Zeng, A proximal point method for the sum of maximal monotone operators, Math. Method. Appl. Sci., 37(11):2638-2650, 2014.
  35. A.Z. Cao, H.B. Chen, J.C. Zhang, X Q. Lv, Optimization of open boundary conditions in a 3D internal tidal model with the adjoint method around Hawaii, Abstr. Appl. Anal. 950926, 2013
  36. W.S. Don, R. Borges, Accuracy of the Weighted Essentially Non-Oscillatory Conservative Finite Difference Schemes, J. Comput. Phys. 250: 347-372, 2013
  37. S.L. Davis, G.B. Jacobs, W.S. Don, Carbuncles in higher-order resolution Eulerian-Lagrangian computation of high-speed, particle-laden flow, A-IAA J, 1-10, 2013
  38. S.L. Davis, T.B. Dittmann, G.B. Jacobs, W.S. Don, Dispersion of a Cloud of Particles by a Moving Shock: Effects of Shape, Angle Rotation and Aspect Ratio, J. Appl. Mech. Tech. Phys. 54 (6): 900-912, 2013
  39. Z. Gao, W.S. Don, Mapped hybrid Central-WENO finite difference scheme for detonation waves simulations, J. Sci. Comput. 55: 351-371, 2013
  40. H. Tian, H. Wang, W.Q. Wang, An efficient collocation method for a non-local diffusion model, Inter. J. Numer. Analy. Model., 10(4): 815-825, 2013
  41. C.A. Micchelli, L X. Shen, Y.S. Xu, X.Y. Zeng, Proximity algorithms for the L1/TV image denoising models, Adv. Comput. Math. , 38(2), 401-426, 2013.
  42. X.Y. Zeng, L.H. Yang, A robust multiframe super-resolution algorithm based on half-quadratic estimation with modified BTV regularization. Digit Signal Process., 23(1): 98-109, 2013.