Publications (at google scholar)
 
  Journal Articles:

  • Y. Xing and X. Zhang, Positivity-preserving well-balanced discontinuous Galerkin methods for theshallow water equations on unstructured triangular meshes, Journal of Scientific Computing, in press. PDF

  • Y. Xing, Exactly well-balanced discontinuous Galerkin methods for the shallow water equations withmoving water equilibrium, Journal of Computational Physics, submitted. PDF

  • 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, submitted. PDF

  • 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

  • Y. Xing, C.-S. Chou and C.-W. Shu, Energy conserving local discontinuous Galerkin methods for wave propagation problems, Inverse Problems and Imaging, in press. PDF

  • J.L. Bona, H. Chen, O. Karakashian and Y. Xing, Conservative, discontinuous-Galerkin methods for the generalized Korteweg-de Vries equation, Mathematics of Computation, in press. PDF

  • 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

  • X. Feng and Y. Xing, Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number, Mathematics of Computation, in press. PDF

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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 Chapters:

  • 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:

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