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2020 – today
- 2024
[j47]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): 1327- (2024)- [i19]Qifan Chen, Zheng Sun, Yulong Xing:
The Runge-Kutta discontinuous Galerkin method with stage-dependent polynomial spaces for hyperbolic conservation laws. CoRR abs/2402.15150 (2024) - [i18]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 abs/2404.10159 (2024) - [i17]YiMing Chen, Dianlun Luo, Wenlong Pei, Yulong Xing:
The Efficient Variable Time-stepping DLN Algorithms for the Allen-Cahn Model. CoRR abs/2409.19481 (2024) - 2023
- [j46]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: 339-359 (2023) - [j45]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: 112429 (2023) - [j44]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): 40 (2023) - [j43]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): 2135-2183 (2023) - [i16]Qifan Chen, Zheng Sun, Yulong Xing:
The Runge-Kutta discontinuous Galerkin method with compact stencils for hyperbolic conservation laws. CoRR abs/2307.06471 (2023) - [i15]Zheng Sun, Yulong Xing:
On a numerical artifact of solving shallow water equations with a discontinuous bottom: Analysis and a nontransonic fix. CoRR abs/2308.09265 (2023) - [i14]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 abs/2309.09394 (2023) - 2022
- [j42]Jiawei Sun, Chi-Wang Shu, Yulong Xing:
Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise. J. Comput. Phys. 461: 111199 (2022) - [j41]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: 111255 (2022) - [j40]Ruize Yang, Yulong Xing:
Energy conserving discontinuous Galerkin method with scalar auxiliary variable technique for the nonlinear Dirac equation. J. Comput. Phys. 463: 111278 (2022) - [j39]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): 53 (2022) - [j38]Yupeng Ren, Yulong Xing, Dean Wang, Jianxian Qiu:
High Order Asymptotic Preserving Hermite WENO Fast Sweeping Method for the Steady-State SN Transport Equations. J. Sci. Comput. 93(1): 3 (2022) - [j37]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): 3317- (2022) - [i13]Jiawei Sun, Chi-Wang Shu, Yulong Xing:
Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise. CoRR abs/2204.09632 (2022) - [i12]Weijie Zhang, Yulong Xing, Eirik Endeve:
Energy conserving and well-balanced discontinuous Galerkin methods for the Euler-Poisson equations in spherical symmetry. CoRR abs/2205.04448 (2022) - [i11]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 abs/2211.16673 (2022) - 2021
- [j36]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: 110543 (2021) - [j35]Ruchi Guo, Yulong Xing:
Optimal Energy Conserving Local Discontinuous Galerkin Methods for Elastodynamics: Semi and Fully Discrete Error Analysis. J. Sci. Comput. 87(1): 13 (2021) - [j34]Zheng Sun, Yulong Xing:
Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes. Math. Comput. 90(330): 1741-1772 (2021) - [j33]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): A472-A510 (2021) - [j32]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): A2981-A3008 (2021) - [i10]Yupeng Ren, Yulong Xing, Dean Wang, Jianxian Qiu:
High order asymptotic preserving Hermite WENO fast sweeping method for the steady-state SN transport equation. CoRR abs/2104.03480 (2021) - [i9]Yupeng Ren, Yulong Xing, Jianxian Qiu:
High order finite difference Hermite WENO fixed-point fast sweeping method for static Hamilton-Jacobi equations. CoRR abs/2105.08227 (2021) - [i8]Yukun Li, Shuonan Wu, Yulong Xing:
Finite Element Approximations of a Class of Nonlinear Stochastic Wave Equation with Multiplicative Noise. CoRR abs/2106.14998 (2021) - [i7]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 abs/2108.04463 (2021) - [i6]Jiawei Sun, Shusen Xie, Yulong Xing:
Local discontinuous Galerkin methods for the abcd nonlinear Boussinesq system. CoRR abs/2110.04339 (2021) - [i5]Jiawei Sun, Chi-Wang Shu, Yulong Xing:
Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise. CoRR abs/2110.04826 (2021) - 2020
- [j31]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) - [j30]Joshua Buli, Yulong Xing:
A discontinuous Galerkin method for the Aw-Rascle traffic flow model on networks. J. Comput. Phys. 406: 109183 (2020) - [j29]Zheng Sun, Yulong Xing:
On structure-preserving discontinuous Galerkin methods for Hamiltonian partial differential equations: Energy conservation and multi-symplecticity. J. Comput. Phys. 419: 109662 (2020) - [j28]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): 30 (2020) - [j27]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): 17 (2020) - [j26]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): 66 (2020) - [i4]Kailiang Wu, Yulong Xing:
Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness. CoRR abs/2005.07166 (2020) - [i3]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 abs/2006.00117 (2020) - [i2]Yupeng Ren, Yulong Xing, Jianxian Qiu:
High order finite difference Hermite WENO fast sweeping methods for static Hamilton-Jacobi equations. CoRR abs/2009.03494 (2020)
2010 – 2019
- 2019
- [i1]Zheng Sun, Yulong Xing:
On structure-preserving discontinuous Galerkin methods for Hamiltonian partial differential equations: Energy conservation and multi-symplecticity. CoRR abs/1912.13085 (2019) - 2018
- [j25]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): 2071-2085 (2018) - [j24]Gang Li, Yulong Xing:
Well-balanced discontinuous Galerkin methods with hydrostatic reconstruction for the Euler equations with gravitation. J. Comput. Phys. 352: 445-462 (2018) - [j23]Joshua Buli, Yulong Xing:
Local Discontinuous Galerkin Methods for the Boussinesq Coupled BBM System. J. Sci. Comput. 75(1): 536-559 (2018) - 2017
- [j22]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): 593-616 (2017) - [j21]Yingda Cheng, Ching-Shan Chou, Fengyan Li, Yulong Xing:
L2 stable discontinuous Galerkin methods for one-dimensional two-way wave equations. Math. Comput. 86(303): 121-155 (2017) - 2016
- [j20]Yulong Xing:
High order finite volume WENO schemes for the shallow water flows through channels with irregular geometry. J. Comput. Appl. Math. 299: 229-244 (2016) - [j19]Gang Li, Yulong Xing:
High order finite volume WENO schemes for the Euler equations under gravitational fields. J. Comput. Phys. 316: 145-163 (2016) - [j18]Gang Li, Yulong Xing:
Well-Balanced Discontinuous Galerkin Methods for the Euler Equations Under Gravitational Fields. J. Sci. Comput. 67(2): 493-513 (2016) - [j17]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): 825-847 (2016) - [j16]Hailiang Liu, Yulong Xing:
An Invariant Preserving Discontinuous Galerkin Method for the Camassa-Holm Equation. SIAM J. Sci. Comput. 38(4) (2016) - [c3]Yongrui Chen, Yulong Xing, Weidong Yi:
Optimal beacon scheduling for low-duty-cycle sensor networks. ICC 2016: 1-7 - 2015
- [j15]Yongrui Chen, Weidong Yi, Hao Sun, Yulong Xing:
Tunable Time Resolution: An Energy Saving Mechanism for Wireless Sensor Networks. IEEE Commun. Lett. 19(7): 1201-1204 (2015) - [j14]Yulong Xing, Yongrui Chen, Weidong Yi, Chenghua Duan:
Time Synchronization for Wireless Sensor Networks Using Adaptive Linear Prediction. Int. J. Distributed Sens. Networks 11: 917042:1-917042:9 (2015) - [j13]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: 151-183 (2015) - [c2]Yongrui Chen, Li Gao, Yulong Xing, Weidong Yi:
Cross-Layer Design for Energy-Efficient Reliable Routing in Wireless Sensor Networks. MSN 2015: 31-36 - 2014
- [j12]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) - [j11]Casey Hufford, Yulong Xing:
Superconvergence of the local discontinuous Galerkin method for the linearized Korteweg-de Vries equation. J. Comput. Appl. Math. 255: 441-455 (2014) - [j10]Yulong Xing:
Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium. J. Comput. Phys. 257: 536-553 (2014) - [j9]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: 88-107 (2014) - [c1]Yulong Xing, Yongrui Chen, Hao Sun, Weidong Yi, Chenghua Duan:
ALPS: Adaptive Linear Prediction for Time Synchronization in Wireless Sensor Networks. CWSN 2014: 355-367 - 2013
- [j8]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): 645-662 (2013) - [j7]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): 19-41 (2013) - [j6]Xiaobing Feng, Yulong Xing:
Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number. Math. Comput. 82(283): 1269-1296 (2013) - [j5]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): 1401-1432 (2013) - 2011
- [j4]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): 339-349 (2011)
2000 – 2009
- 2007
- [j3]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): 29-58 (2007) - 2006
- [j2]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): 567-598 (2006) - [j1]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): 477-494 (2006)
Coauthor Index
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