Publications (at google scholar)
 
  Journal Articles:
  • (39) D. Wang, S. Xiao, Y. Xu, T. Downar, E. Shemon, and Y. Xing, Stabilizing CMFD with Linear Prolongation, submitted.

  • (38) J. Buli and Y. Xing, Local discontinuous Galerkin Methods for the Boussinesq Coupled BBM System, Journal of Scientific Computing, in press.

  • (37) G. Li abd Y. Xing, Well-balanced finite difference weighted essentially non-oscillatory schemes for general equilibrium states of the Euler equations with gravitation, Computers and Mathematics with Applications, in press.

  • (36) G. Li and Y. Xing, Well-balanced discontinuous Galerkin methods with hydrostatic reconstruction for the Euler equations with gravitation, Journal of Computational Physics, v352 (2018), pp. 445-462. PDF

  • (35) C.-S. Chou, W. Sun, Y. Xing and H. Yang, Local discontinuous Galerkin methods for the Khokhlov- Zabolotskaya-Kuznetzov equation, Journal of Scientific Computing, v73 (2017), pp. 593-616. PDF

  • (34) Y. Xing, Numerical methods for the nonlinear shallow water equations, Handbook of Numerical Analysis: Applied and Modern Issues, R. Abgrall and C.-W. Shu, Editors, North-Holland, Elsevier, Amsterdam, 2017, pp. 361-384. PDF

  • (33) Y. Cheng, C.-S. Chou, F. Li and Y. Xing, L2 stable discontinuous Galerkin methods for one-dimensional two-way wave equations, Mathematics of Computation, v86 (2017), pp. 121-155. PDF

  • (32) G. Li and Y. Xing, High order finite volume WENO schemes for the Euler equations under gravitational fields, Journal of Computational Physics, v316 (2016), pp. 145-163. PDF

  • (31) X. Wen, Z. Gao, W.S. Don, Y. Xing and P. Li, Application of positivity-preserving well-balanced discontinuous Galerkin method to tidal bores problems, Computers and Fluids, v139 (2016), pp. 112-119. PDF

  • (30) O. Karakashian and Y. Xing, A posteriori error estimates for conservative local discontinuous Galerkin methods for the Generalized Korteweg-de Vries equation, Communications in Computational Physics, v20 (2016), pp. 250-278. PDF

  • (29) H. Liu and Y. Xing, An invariant preserving discontinuous Galerkin method for the Camassa-Holm equation, SIAM Journal on Scientific Computing, v38 (2016), pp. A1919-A1934. PDF

  • (28) Y. Xing, High order finite volume WENO schemes for the shallow water flows through channels with irregular geometry, Journal of Computational and Applied Mathematics, v299 (2016), pp. 229-244. PDF

  • (27) X. Feng, Y. Li and Y. Xing, Analysis of mixed interior penalty discontinuous Galerkin methods for the Cahn-Hilliard equation and the Hele-Shaw flow, SIAM Journal on Numerical Analysis, v54 (2016), pp. 825-847. PDF

  • (26) G. Li and Y. Xing, Well-balanced discontinuous Galerkin methods for the Euler equations under gravitational fields, Journal of Scientific Computing, v67 (2016), pp. 493-513. PDF

  • (25) M. Kelly, Y. Xing and S. Lenhart, Optimal fish harvesting for a population modeled by a nonlinear parabolic partial differential equation, Natural Resource Modeling, v29 (2016), pp. 36-70. PDF

  • (24) E. Endeve, C.D. Hauck, Y. Xing and A. Mezzacappa, Bound-preserving discontinuous Galerkin methods for conservative phase space advection in curvilinear coordinates, Journal of Computational Physics, v287 (2015), pp.151-183. PDF

  • (23) X. Liang, A. Q. M. Khaliq and Y. Xing, Fourth order exponential time differencing method with local discontinuous Galerkin approximation for coupled nonlinear Schrodinger equations, Communications in Computational Physics, v17 (2015), pp.510-541. PDF

  • (22) Y. Xing, Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium, Journal of Computational Physics, v257 (2014), pp.536-553. PDF

  • (21) C.-S. Chou, C.-W. Shu and Y. Xing, Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media, Journal of Computational Physics, v272 (2014), pp.88-107. PDF

  • (20) C. Hufford and Y. Xing, Superconvergence of the local discontinuous Galerkin method for the linearized Korteweg-de Vries equation, Journal of Computational and Applied Mathematics, v255 (2014), pp.441-455. PDF

  • (19) Y. Xing and C.-W. Shu, A survey of high order schemes for the shallow water equations, Journal of Mathematical Study, v47 (2014), pp. 221-249. PDF

  • (18) J.L. Bona, H. Chen, O. Karakashian and Y. Xing, Conservative, discontinuous-Galerkin methods for the generalized Korteweg-de Vries equation, Mathematics of Computation, v82 (2013), pp.1401-1432. PDF

  • (17) Y. Xing, C.-S. Chou and C.-W. Shu, Energy conserving local discontinuous Galerkin methods for wave propagation problems, Inverse Problems and Imaging, v7 (2013), pp.967-986. PDF

  • (16) Y. Xing and X. Zhang, Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes, Journal of Scientific Computing, v57 (2013), pp.19-41. PDF

  • (15) Y. Xing and C.-W. Shu, High order well-balanced WENO scheme for the gas dynamic equations under gravitational fields, Journal of Scientific Computing, v54 (2013), pp.645-662. PDF

  • (14) X. Feng and Y. Xing, Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number, Mathematics of Computation, v82 (2013), pp.1269-1296. PDF

  • (13) Y. Xing and C.-W. Shu, High-order finite volume WENO schemes for the shallow water equations with dry states, Advances in Water Resources, v34 (2011), pp.1026-1038. PDF

  • (12) Y. Xing, C.-W. Shu and S. Noelle, On the advantage of well-balanced schemes for moving-water equilibria of the shallow water equations, Journal of Scientific Computing, v48 (2011), pp.339-349. PDF

  • (11) Y. Xing, X. Zhang and C.-W. Shu, Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations, Advances in Water Resources, v33 (2010), pp.1476-1493. PDF

  • (10) A.J. Majda, Y. Xing and M. Mohammadian, Moist multi-scale models for the hurricane embryo, Journal of Fluid Mechanics, v657 (2010), pp. 478-501. PDF

  • (9) A.J. Majda and Y. Xing, New multi-scale models on mesoscales and squall lines, Communications in Mathematical Sciences,v8 (2010), pp.113-134. PDF

  • (8) Y. Xing, A.J. Majda and W.W. Grabowski, New efficient sparse space-time algorithms for superparameterization on mesoscales, Monthly Weather Review, v137 (2009), pp.4307-4324. PDF

  • (7) A.J. Majda, M. Mohammadian and Y. Xing, Vertically sheared horizontal flow with mass sources: a canonical balanced model, Geophysical & Astrophysical Fluid Dynamics, v102 (2008), pp.543-591. PDF

  • (6) S. Noelle, Y. Xing and C.-W. Shu, High order well-balanced finite volume WENO schemes for shallow water equation with moving water, Journal of Computational Physics, v226 (2007), pp.29-58. (Note: the published paper has some typos in Section 3. Please refer to this pdf file for the correct one.) PDF

  • (5) Y. Xing and C.-W. Shu, Application of high order well-balanced schemes to a class of hyperbolic systems with source terms, Boletin de la Sociedad Espanola de Matematica Aplicada, v34 (2006), pp.69-80. PDF

  • (4) Y. Xing and C.-W. Shu, A new approach of high order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms, Communications in Computational Physics, v1 (2006), pp.100-134. PDF

  • (3) Y. Xing and C.-W. Shu, High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms, Journal of Computational Physics, v214 (2006), pp.567-598. PDF

  • (2) Y. Xing and C.-W. Shu, High order well-balanced finite difference WENO schemes for a class of hyperbolic systems with source terms, Journal of Scientific Computing, v27 (2006), pp.477-494. PDF

  • (1) Y. Xing and C.-W. Shu, High order finite difference WENO schemes with the exact conservation property for the shallow water equations, Journal of Computational Physics, v208 (2005), pp.206-227. PDF

  Book Edited:

  • (1) X. Feng, O. Karakashian and Y. Xing, Editors, Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations, The IMA Volumes in Mathematics and its Applications, volume 157, Springer-Verlag, 2013, 278 pages. Link

  Conference paper:

  • (1) R. Archibald, E. Constantinescu, K. Evans, H. Finkel, B. Norris, M.R. Norman, A. Sandu, M. Stoyanov, M. Tokman, B. Wingate and Y. Xing, Resilient, communication-reducing, and adaptive time stepping to accelerate exascale scientific applications, DOE Applied Mathematics Research for Exascale Computings, Washington, DC, 2013

  Book Chapters:

  • (1) S. Noelle, Y. Xing and C.-W. Shu, High order well-balanced schemes, Numerical Methods for Balance Laws, G. Puppo and G. Russo, editors, Quaderni di Matematica volume 24, Dipartimento di Matematica, Seconda Universita di Napoli, Italy, 2010, pp. 1-66. PDF

  Thesis:

  • (1) Y. Xing, High order well-balanced numerical schemes for hyperbolic systems with source term, Ph.D. thesis, Brown University, May 2006, 211 pages. PDF