High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms. - Yulong Xing; Chi-Wang Shu (J. Comput. Phys., 2006)

High-Order Well-Balanced Finite Difference WENO Schemes for a Class of Hyperbolic Systems with Source Terms. - Yulong Xing; Chi-Wang Shu (J. Sci. Comput., 2006)

High-order well-balanced finite volume WENO schemes for shallow water equation with moving water. - Sebastian Noelle; Yulong Xing; Chi-Wang Shu (J. Comput. Phys., 2007)

On the Advantage of Well-Balanced Schemes for Moving-Water Equilibria of the Shallow Water Equations. - Yulong Xing; Chi-Wang Shu; Sebastian Noelle (J. Sci. Comput., 2011)

High Order Well-Balanced WENO Scheme for the Gas Dynamics Equations Under Gravitational Fields. - Yulong Xing; Chi-Wang Shu (J. Sci. Comput., 2013)

Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for the Shallow Water Equations on Unstructured Triangular Meshes. - Yulong Xing; Xiangxiong Zhang (J. Sci. Comput., 2013)

Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation. - Jerry L. Bona; Hongqiu Chen; Ohannes A. Karakashian; Yulong Xing (Math. Comput., 2013)

Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number. - Xiaobing Feng 001; Yulong Xing (Math. Comput., 2013)

ALPS: Adaptive Linear Prediction for Time Synchronization in Wireless Sensor Networks. - Yulong Xing; Yongrui Chen 001; Hao Sun; Weidong Yi; Chenghua Duan (CWSN, 2014)

Cross-Layer Optimization Scheme Using Cooperative Diversity for Reliable Data Transfer in Wireless Sensor Networks. - Yongrui Chen 001; Fei Qin; Yulong Xing; Dujdow Buranapanichkit (Int. J. Distributed Sens. Networks, 2014)

Superconvergence of the local discontinuous Galerkin method for the linearized Korteweg-de Vries equation. - Casey Hufford; Yulong Xing (J. Comput. Appl. Math., 2014)

Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media. - Ching-Shan Chou; Chi-Wang Shu; Yulong Xing (J. Comput. Phys., 2014)

Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium. - Yulong Xing (J. Comput. Phys., 2014)

Cross-Layer Design for Energy-Efficient Reliable Routing in Wireless Sensor Networks. - Yongrui Chen 001; Li Gao; Yulong Xing; Weidong Yi (MSN, 2015)

Tunable Time Resolution: An Energy Saving Mechanism for Wireless Sensor Networks. - Yongrui Chen 001; Weidong Yi; Hao Sun; Yulong Xing (IEEE Commun. Lett., 2015)

Time Synchronization for Wireless Sensor Networks Using Adaptive Linear Prediction. - Yulong Xing; Yongrui Chen 001; Weidong Yi; Chenghua Duan (Int. J. Distributed Sens. Networks, 2015)

Bound-preserving discontinuous Galerkin methods for conservative phase space advection in curvilinear coordinates. - Eirik Endeve; Cory D. Hauck; Yulong Xing; Anthony Mezzacappa (J. Comput. Phys., 2015)

Optimal beacon scheduling for low-duty-cycle sensor networks. - Yongrui Chen 001; Yulong Xing; Weidong Yi (ICC, 2016)

High order finite volume WENO schemes for the shallow water flows through channels with irregular geometry. - Yulong Xing (J. Comput. Appl. Math., 2016)

High order finite volume WENO schemes for the Euler equations under gravitational fields. - Gang Li 022; Yulong Xing (J. Comput. Phys., 2016)

Well-Balanced Discontinuous Galerkin Methods for the Euler Equations Under Gravitational Fields. - Gang Li 022; Yulong Xing (J. Sci. Comput., 2016)

Analysis of Mixed Interior Penalty Discontinuous Galerkin Methods for the Cahn-Hilliard Equation and the Hele-Shaw Flow. - Xiaobing Feng 001; Yukun Li; Yulong Xing (SIAM J. Numer. Anal., 2016)

An Invariant Preserving Discontinuous Galerkin Method for the Camassa-Holm Equation. - Hailiang Liu; Yulong Xing (SIAM J. Sci. Comput., 2016)

Local Discontinuous Galerkin Methods for the Khokhlov-Zabolotskaya-Kuznetzov Equation. - Ching-Shan Chou; Weizhou Sun; Yulong Xing; He Yang (J. Sci. Comput., 2017)

L2 stable discontinuous Galerkin methods for one-dimensional two-way wave equations. - Yingda Cheng; Ching-Shan Chou; Fengyan Li; Yulong Xing (Math. Comput., 2017)

Well-balanced finite difference weighted essentially non-oscillatory schemes for the Euler equations with static gravitational fields. - Gang Li 022; Yulong Xing (Comput. Math. Appl., 2018)

Well-balanced discontinuous Galerkin methods with hydrostatic reconstruction for the Euler equations with gravitation. - Gang Li 022; Yulong Xing (J. Comput. Phys., 2018)

Local Discontinuous Galerkin Methods for the Boussinesq Coupled BBM System. - Joshua Buli; Yulong Xing (J. Sci. Comput., 2018)

High order finite difference Hermite WENO fast sweeping methods for static Hamilton-Jacobi equations. - Yupeng Ren; Yulong Xing; Jianxian Qiu (CoRR, 2020)

A discontinuous Galerkin method for the Aw-Rascle traffic flow model on networks. - Joshua Buli; Yulong Xing (J. Comput. Phys., 2020)

Energy conserving local discontinuous Galerkin methods for the improved Boussinesq equation. - Xiaole Li; Weizhou Sun; Yulong Xing; Ching-Shan Chou (J. Comput. Phys., 2020)

On structure-preserving discontinuous Galerkin methods for Hamiltonian partial differential equations: Energy conservation and multi-symplecticity. - Zheng Sun 004; Yulong Xing (J. Comput. Phys., 2020)

High Order Still-Water and Moving-Water Equilibria Preserving Discontinuous Galerkin Methods for the Ripa Model. - Jolene Britton; Yulong Xing (J. Sci. Comput., 2020)

Optimal Energy Conserving and Energy Dissipative Local Discontinuous Galerkin Methods for the Benjamin-Bona-Mahony Equation. - Xiaole Li; Yulong Xing; Ching-Shan Chou (J. Sci. Comput., 2020)

Entropy Stable and Well-Balanced Discontinuous Galerkin Methods for the Nonlinear Shallow Water Equations. - Xiao Wen; Wai Sun Don; Zhen Gao 002; Yulong Xing (J. Sci. Comput., 2020)

High order asymptotic preserving Hermite WENO fast sweeping method for the steady-state SN transport equation. - Yupeng Ren; Yulong Xing; Dean Wang; Jianxian Qiu (CoRR, 2021)

High order finite difference Hermite WENO fixed-point fast sweeping method for static Hamilton-Jacobi equations. - Yupeng Ren; Yulong Xing; Jianxian Qiu (CoRR, 2021)

Finite Element Approximations of a Class of Nonlinear Stochastic Wave Equation with Multiplicative Noise. - Yukun Li; Shuonan Wu; Yulong Xing (CoRR, 2021)

Local discontinuous Galerkin methods for the abcd nonlinear Boussinesq system. - Jiawei Sun; Shusen Xie; Yulong Xing (CoRR, 2021)

High order sign-preserving and well-balanced exponential Runge-Kutta discontinuous Galerkin methods for the shallow water equations with friction. - Ruize Yang; Yang Yang 014; Yulong Xing (J. Comput. Phys., 2021)

Optimal Energy Conserving Local Discontinuous Galerkin Methods for Elastodynamics: Semi and Fully Discrete Error Analysis. - Ruchi Guo; Yulong Xing (J. Sci. Comput., 2021)

Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes. - Zheng Sun 004; Yulong Xing (Math. Comput., 2021)

Recovery of a Time-Dependent Bottom Topography Function from the Shallow Water Equations via an Adjoint Approach. - Jolene Britton; Yat Tin Chow; Weitao Chen; Yulong Xing (SIAM J. Sci. Comput., 2021)

Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness. - Kailiang Wu; Yulong Xing (SIAM J. Sci. Comput., 2021)

Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise. - Jiawei Sun; Chi-Wang Shu; Yulong Xing (CoRR, 2022)

Energy conserving and well-balanced discontinuous Galerkin methods for the Euler-Poisson equations in spherical symmetry. - Weijie Zhang; Yulong Xing; Eirik Endeve (CoRR, 2022)

High order asymptotic preserving well-balanced finite difference WENO schemes for all Mach full Euler equations with gravity. - Guanlan Huang; Yulong Xing; Tao Xiong (CoRR, 2022)

High order well-balanced asymptotic preserving finite difference WENO schemes for the shallow water equations in all Froude numbers. - Guanlan Huang; Yulong Xing; Tao Xiong (J. Comput. Phys., 2022)

Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise. - Jiawei Sun; Chi-Wang Shu; Yulong Xing (J. Comput. Phys., 2022)

Energy conserving discontinuous Galerkin method with scalar auxiliary variable technique for the nonlinear Dirac equation. - Ruize Yang; Yulong Xing (J. Comput. Phys., 2022)

Finite Element Approximations of a Class of Nonlinear Stochastic Wave Equations with Multiplicative Noise. - Yukun Li; Shuonan Wu; Yulong Xing (J. Sci. Comput., 2022)

High Order Asymptotic Preserving Hermite WENO Fast Sweeping Method for the Steady-State SN Transport Equations. - Yupeng Ren; Yulong Xing; Dean Wang; Jianxian Qiu (J. Sci. Comput., 2022)

Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential. - Boyang Ye; Shi Jin; Yulong Xing; Xinghui Zhong (SIAM J. Sci. Comput., 2022)

On a numerical artifact of solving shallow water equations with a discontinuous bottom: Analysis and a nontransonic fix. - Zheng Sun 004; Yulong Xing (CoRR, 2023)

Numerical analysis of a spherical harmonic discontinuous Galerkin method for scaled radiative transfer equations with isotropic scattering. - Qiwei Sheng; Cory D. Hauck; Yulong Xing (CoRR, 2023)

Optimal error estimates of ultra-weak discontinuous Galerkin methods with generalized numerical fluxes for multi-dimensional convection-diffusion and biharmonic equations. - Yuan Chen; Yulong Xing (Math. Comput., 2023)

On Generalized Gauss-Radau Projections and Optimal Error Estimates of Upwind-Biased DG Methods for the Linear Advection Equation on Special Simplex Meshes. - Zheng Sun 004; Yulong Xing (J. Sci. Comput., 2023)

High order structure-preserving arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the Euler equations under gravitational fields. - Weijie Zhang; Yulong Xing; Yinhua Xia; Yan Xu 008 (Comput. Math. Appl., 2023)

On high order positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation. - Yupeng Ren; Kailiang Wu; Jianxian Qiu; Yulong Xing (J. Comput. Phys., 2023)

A Sample Synthesis Method for Railway Track Circuit Fault Diagnosis Based on Variational Autoencoder and Improved SMOTEENN. - Zongyao Wang; Wei ShangGuan; Weijun Xu; Cong Peng; Yulong Xing; Enrico Zio (ICSRS, 2024)

New Asymptotic Preserving, Hybrid Discontinuous Galerkin Methods the Radiation Transport Equation with Isotropic Scattering and Diffusive Scaling. - Cory D. Hauck; Qiwei Sheng; Yulong Xing (CoRR, 2024)

The Efficient Variable Time-stepping DLN Algorithms for the Allen-Cahn Model. - YiMing Chen; Dianlun Luo; Wenlong Pei; Yulong Xing (CoRR, 2024)

The Runge-Kutta Discontinuous Galerkin Method with Compact Stencils for Hyperbolic Conservation Laws. - Qifan Chen; Zheng Sun 004; Yulong Xing (SIAM J. Sci. Comput., 2024)

The Runge-Kutta discontinuous Galerkin method with stage-dependent polynomial spaces for hyperbolic conservation laws. - Qifan Chen; Zheng Sun 004; Yulong Xing (J. Comput. Phys., 2025)

Reliability assessment of urban rail transit vehicle on-board controller with multi-component failure dependence based on R-vine-copula. - Cong Peng; Wei ShangGuan; Zongyao Wang; Jiali Peng; Linguo Chai; Yulong Xing; Baigen Cai (Reliab. Eng. Syst. Saf., 2025)

Realizability-Preserving Discontinuous Galerkin Method for Spectral Two-Moment Radiation Transport in Special Relativity. - Joseph Hunter; Eirik Endeve; M. Paul Laiu; Yulong Xing (CoRR, 2025)

Efficient Variable Time-stepping Adaptive DLN Algorithms for the Allen-Cahn Equation. - Yiming Chen; Dianlun Luo; Wenlong Pei; Yulong Xing (J. Sci. Comput., 2025)