Yulong Xing

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 51

Top Topics

Sensor Networks

Error Estimates

Top Venues

J. Comput. Phys.

J. Sci. Comput.

SIAM J. Sci. Comput.

Publications

Qifan Chen, Zheng Sun, Yulong Xing
The Runge-Kutta discontinuous Galerkin method with stage-dependent polynomial spaces for hyperbolic conservation laws. CoRR (2024)
Qifan Chen, Zheng Sun, Yulong Xing
The Runge-Kutta Discontinuous Galerkin Method with Compact Stencils for Hyperbolic Conservation Laws. SIAM J. Sci. Comput. 46 (2) (2024)
Cory D. Hauck, Qiwei Sheng, Yulong Xing
New Asymptotic Preserving, Hybrid Discontinuous Galerkin Methods the Radiation Transport Equation with Isotropic Scattering and Diffusive Scaling. CoRR (2024)
Yupeng Ren, Kailiang Wu, Jianxian Qiu, Yulong Xing
On high order positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation. J. Comput. Phys. 492 (2023)
Yuan Chen, Yulong Xing
Optimal error estimates of ultra-weak discontinuous Galerkin methods with generalized numerical fluxes for multi-dimensional convection-diffusion and biharmonic equations. Math. Comput. 93 (349) (2023)
Zheng Sun, Yulong Xing
On a numerical artifact of solving shallow water equations with a discontinuous bottom: Analysis and a nontransonic fix. CoRR (2023)
Weijie Zhang, Yulong Xing, Yinhua Xia, Yan Xu
High order structure-preserving arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the Euler equations under gravitational fields. Comput. Math. Appl. 146 (2023)
Qiwei Sheng, Cory D. Hauck, Yulong Xing
Numerical analysis of a spherical harmonic discontinuous Galerkin method for scaled radiative transfer equations with isotropic scattering. CoRR (2023)
Zheng Sun, Yulong Xing
On Generalized Gauss-Radau Projections and Optimal Error Estimates of Upwind-Biased DG Methods for the Linear Advection Equation on Special Simplex Meshes. J. Sci. Comput. 95 (2) (2023)
Qifan Chen, Zheng Sun, Yulong Xing
The Runge-Kutta discontinuous Galerkin method with compact stencils for hyperbolic conservation laws. CoRR (2023)
Jiawei Sun, Chi-Wang Shu, Yulong Xing
Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise. J. Comput. Phys. 461 (2022)
Weijie Zhang, Yulong Xing, Eirik Endeve
Energy conserving and well-balanced discontinuous Galerkin methods for the Euler-Poisson equations in spherical symmetry. CoRR (2022)
Ruize Yang, Yulong Xing
Energy conserving discontinuous Galerkin method with scalar auxiliary variable technique for the nonlinear Dirac equation. J. Comput. Phys. 463 (2022)
Boyang Ye, Shi Jin, Yulong Xing, Xinghui Zhong
Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential. SIAM J. Sci. Comput. 44 (5) (2022)
Yupeng Ren, Yulong Xing, Dean Wang, Jianxian Qiu
Transport Equations. J. Sci. Comput. 93 (1) (2022)
Yukun Li, Shuonan Wu, Yulong Xing
Finite Element Approximations of a Class of Nonlinear Stochastic Wave Equations with Multiplicative Noise. J. Sci. Comput. 91 (2) (2022)
Guanlan Huang, Yulong Xing, Tao Xiong
High order well-balanced asymptotic preserving finite difference WENO schemes for the shallow water equations in all Froude numbers. J. Comput. Phys. 463 (2022)
Guanlan Huang, Yulong Xing, Tao Xiong
High order asymptotic preserving well-balanced finite difference WENO schemes for all Mach full Euler equations with gravity. CoRR (2022)
Jiawei Sun, Chi-Wang Shu, Yulong Xing
Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise. CoRR (2022)
Yupeng Ren, Yulong Xing, Jianxian Qiu
High order finite difference Hermite WENO fixed-point fast sweeping method for static Hamilton-Jacobi equations. CoRR (2021)
Yukun Li, Shuonan Wu, Yulong Xing
Finite Element Approximations of a Class of Nonlinear Stochastic Wave Equation with Multiplicative Noise. CoRR (2021)
Yupeng Ren, Yulong Xing, Dean Wang, Jianxian Qiu
transport equation. CoRR (2021)
Guanlan Huang, Yulong Xing, Tao Xiong
High order well-balanced asymptotic preserving finite difference WENO schemes for the shallow water equations in all Froude numbers. CoRR (2021)
Ruize Yang, Yang Yang, Yulong Xing
High order sign-preserving and well-balanced exponential Runge-Kutta discontinuous Galerkin methods for the shallow water equations with friction. J. Comput. Phys. 444 (2021)
Jiawei Sun, Shusen Xie, Yulong Xing
Local discontinuous Galerkin methods for the abcd nonlinear Boussinesq system. CoRR (2021)
Ruchi Guo, Yulong Xing
Optimal Energy Conserving Local Discontinuous Galerkin Methods for Elastodynamics: Semi and Fully Discrete Error Analysis. J. Sci. Comput. 87 (1) (2021)
Kailiang Wu, Yulong Xing
Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness. SIAM J. Sci. Comput. 43 (1) (2021)
Jiawei Sun, Chi-Wang Shu, Yulong Xing
Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise. CoRR (2021)
Zheng Sun, Yulong Xing
Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes. Math. Comput. 90 (330) (2021)
Jolene Britton, Yat Tin Chow, Weitao Chen, Yulong Xing
Recovery of a Time-Dependent Bottom Topography Function from the Shallow Water Equations via an Adjoint Approach. SIAM J. Sci. Comput. 43 (4) (2021)
Zheng Sun, Yulong Xing
On structure-preserving discontinuous Galerkin methods for Hamiltonian partial differential equations: Energy conservation and multi-symplecticity. J. Comput. Phys. 419 (2020)
Jolene Britton, Yulong Xing
High Order Still-Water and Moving-Water Equilibria Preserving Discontinuous Galerkin Methods for the Ripa Model. J. Sci. Comput. 82 (2) (2020)
Xiao Wen, Wai Sun Don, Zhen Gao, Yulong Xing
Entropy Stable and Well-Balanced Discontinuous Galerkin Methods for the Nonlinear Shallow Water Equations. J. Sci. Comput. 83 (3) (2020)
Jolene Britton, Yat Tin Chow, Weitao Chen, Yulong Xing
Recovery of a Time-Dependent Bottom Topography Function from the Shallow Water Equations via an Adjoint Approach. CoRR (2020)
Kailiang Wu, Yulong Xing
Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness. CoRR (2020)
Yupeng Ren, Yulong Xing, Jianxian Qiu
High order finite difference Hermite WENO fast sweeping methods for static Hamilton-Jacobi equations. CoRR (2020)
Joshua Buli, Yulong Xing
A discontinuous Galerkin method for the Aw-Rascle traffic flow model on networks. J. Comput. Phys. 406 (2020)
Xiaole Li, Weizhou Sun, Yulong Xing, Ching-Shan Chou
Energy conserving local discontinuous Galerkin methods for the improved Boussinesq equation. J. Comput. Phys. 401 (2020)
Xiaole Li, Yulong Xing, Ching-Shan Chou
Optimal Energy Conserving and Energy Dissipative Local Discontinuous Galerkin Methods for the Benjamin-Bona-Mahony Equation. J. Sci. Comput. 83 (1) (2020)
Zheng Sun, Yulong Xing
On structure-preserving discontinuous Galerkin methods for Hamiltonian partial differential equations: Energy conservation and multi-symplecticity. CoRR (2019)
Gang Li, Yulong Xing
Well-balanced discontinuous Galerkin methods with hydrostatic reconstruction for the Euler equations with gravitation. J. Comput. Phys. 352 (2018)
Joshua Buli, Yulong Xing
Local Discontinuous Galerkin Methods for the Boussinesq Coupled BBM System. J. Sci. Comput. 75 (1) (2018)
Gang Li, Yulong Xing
Well-balanced finite difference weighted essentially non-oscillatory schemes for the Euler equations with static gravitational fields. Comput. Math. Appl. 75 (6) (2018)
Yingda Cheng, Ching-Shan Chou, Fengyan Li, Yulong Xing
stable discontinuous Galerkin methods for one-dimensional two-way wave equations. Math. Comput. 86 (303) (2017)
Ching-Shan Chou, Weizhou Sun, Yulong Xing, He Yang
Local Discontinuous Galerkin Methods for the Khokhlov-Zabolotskaya-Kuznetzov Equation. J. Sci. Comput. 73 (2-3) (2017)
Hailiang Liu, Yulong Xing
An Invariant Preserving Discontinuous Galerkin Method for the Camassa-Holm Equation. SIAM J. Sci. Comput. 38 (4) (2016)
Gang Li, Yulong Xing
Well-Balanced Discontinuous Galerkin Methods for the Euler Equations Under Gravitational Fields. J. Sci. Comput. 67 (2) (2016)
Yulong Xing
High order finite volume WENO schemes for the shallow water flows through channels with irregular geometry. J. Comput. Appl. Math. 299 (2016)
Xiaobing Feng, Yukun Li, Yulong Xing
Analysis of Mixed Interior Penalty Discontinuous Galerkin Methods for the Cahn-Hilliard Equation and the Hele-Shaw Flow. SIAM J. Numer. Anal. 54 (2) (2016)
Yongrui Chen, Yulong Xing, Weidong Yi
Optimal beacon scheduling for low-duty-cycle sensor networks. ICC (2016)
Gang Li, Yulong Xing
High order finite volume WENO schemes for the Euler equations under gravitational fields. J. Comput. Phys. 316 (2016)
Yongrui Chen, Weidong Yi, Hao Sun, Yulong Xing
Tunable Time Resolution: An Energy Saving Mechanism for Wireless Sensor Networks. IEEE Commun. Lett. 19 (7) (2015)
Yulong Xing, Yongrui Chen, Weidong Yi, Chenghua Duan
Time Synchronization for Wireless Sensor Networks Using Adaptive Linear Prediction. Int. J. Distributed Sens. Networks 11 (2015)
Eirik Endeve, Cory D. Hauck, Yulong Xing, Anthony Mezzacappa
Bound-preserving discontinuous Galerkin methods for conservative phase space advection in curvilinear coordinates. J. Comput. Phys. 287 (2015)
Yongrui Chen, Li Gao, Yulong Xing, Weidong Yi
Cross-Layer Design for Energy-Efficient Reliable Routing in Wireless Sensor Networks. MSN (2015)
Yongrui Chen, Fei Qin, Yulong Xing, Dujdow Buranapanichkit
Cross-Layer Optimization Scheme Using Cooperative Diversity for Reliable Data Transfer in Wireless Sensor Networks. Int. J. Distributed Sens. Networks 10 (2014)
Yulong Xing
Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium. J. Comput. Phys. 257 (2014)
Yulong Xing, Yongrui Chen, Hao Sun, Weidong Yi, Chenghua Duan
ALPS: Adaptive Linear Prediction for Time Synchronization in Wireless Sensor Networks. CWSN (2014)
Casey Hufford, Yulong Xing
Superconvergence of the local discontinuous Galerkin method for the linearized Korteweg-de Vries equation. J. Comput. Appl. Math. 255 (2014)
Ching-Shan Chou, Chi-Wang Shu, Yulong Xing
Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media. J. Comput. Phys. 272 (2014)
Yulong Xing, Xiangxiong Zhang
Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for the Shallow Water Equations on Unstructured Triangular Meshes. J. Sci. Comput. 57 (1) (2013)
Jerry L. Bona, Hongqiu Chen, Ohannes A. Karakashian, Yulong Xing
Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation. Math. Comput. 82 (283) (2013)
Xiaobing Feng, Yulong Xing
Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number. Math. Comput. 82 (283) (2013)
Yulong Xing, Chi-Wang Shu
High Order Well-Balanced WENO Scheme for the Gas Dynamics Equations Under Gravitational Fields. J. Sci. Comput. 54 (2-3) (2013)
Yulong Xing, Chi-Wang Shu, Sebastian Noelle
On the Advantage of Well-Balanced Schemes for Moving-Water Equilibria of the Shallow Water Equations. J. Sci. Comput. 48 (1-3) (2011)
Sebastian Noelle, Yulong Xing, Chi-Wang Shu
High-order well-balanced finite volume WENO schemes for shallow water equation with moving water. J. Comput. Phys. 226 (1) (2007)
Yulong Xing, Chi-Wang Shu
High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms. J. Comput. Phys. 214 (2) (2006)
Yulong Xing, Chi-Wang Shu
High-Order Well-Balanced Finite Difference WENO Schemes for a Class of Hyperbolic Systems with Source Terms. J. Sci. Comput. 27 (1-3) (2006)