Publications (at google scholar)
 
  Refereed Journal and Conference Articles:
  • (41) S. Qian, G. Li, F. Shao and Y. Xing, Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water flows in open channels, Advances in Water Resources, v115 (2018), pp. 172-184.

  • (40) D. Wang, S. Xiao, Y. Xu, T. Downar, E. Shemon, and Y. Xing, Stabilizing CMFD with Linear Prolongation, PHYSOR2018, Cancun, Mexico, 2018.

  • (39) J. Buli and Y. Xing, Local discontinuous Galerkin Methods for the Boussinesq Coupled BBM System, Journal of Scientific Computing, v75 (2018), pp. 536-559.

  • (38) 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, v75 (2018), pp. 2071-2085.

  • (37) 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

  • (36) 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

  • (35) 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

  • (34) 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

  • (33) 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

  • (32) 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

  • (31) 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

  • (30) 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

  • (29) 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

  • (28) 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

  • (27) 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

  • (26) 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

  • (25) 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

  • (24) 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

  • (23) 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

  • (22) 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

  • (21) 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

  • (20) 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

  • (19) 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

  • (18) 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

  • (17) 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

  • (16) 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

  • (15) 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

  • (14) 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

  • (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 Proceedings and Book Chapters:

  • (2) E. Endeve, C.D. Hauck, Y. Xing and A. Mezzacappa, Towards robust discontinuous Galerkin methods for general relativistic neutrino radiation transport, Proceedings of the 9th Annual International Conference on Numerical Modeling of Space Plasma Flows (ASTRONUM 2014), N.V. Pogorelov, E. Audit and G.P. Zank, editors, Astronomical Society of the Pacific Conference Series, v498, 2015.

  • (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