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Author ID: xing.yulong Recent zbMATH articles by "Xing, Yulong"
Published as: Xing, Yulong; Xing, Y.
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Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 1,126 times in 576 Documents Cited by Year
High order finite difference WENO schemes with the exact conservation property for the shallow water equations. Zbl 1114.76340
Xing, Yulong; Shu, Chi-Wang
141
2005
High-order well-balanced finite volume WENO schemes for shallow water equation with moving water. Zbl 1120.76046
Noelle, Sebastian; Xing, Yulong; Shu, Chi-Wang
109
2007
High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms. Zbl 1089.65091
Xing, Yulong; Shu, Chi-Wang
106
2006
Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation. Zbl 1276.65058
Bona, J. L.; Chen, H.; Karakashian, O.; Xing, Y.
73
2013
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. Zbl 1115.65096
Xing, Yulong; Shu, Chi-Wang
65
2006
A survey of high order schemes for the shallow water equations. Zbl 1324.76035
Xing, Yulong; Shu, Chi-Wang
51
2014
Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes. Zbl 1282.76134
Xing, Yulong; Zhang, Xiangxiong
47
2013
Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium. Zbl 1349.76289
Xing, Yulong
47
2014
High order well-balanced WENO scheme for the gas dynamics equations under gravitational fields. Zbl 1260.76022
Xing, Yulong; Shu, Chi-Wang
43
2013
On the advantage of well-balanced schemes for moving-water equilibria of the shallow water equations. Zbl 1409.76086
Xing, Yulong; Shu, Chi-Wang; Noelle, Sebastian
42
2011
Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media. Zbl 1349.65446
Chou, Ching-Shan; Shu, Chi-Wang; Xing, Yulong
36
2014
Energy conserving local discontinuous Galerkin methods for wave propagation problems. Zbl 1273.65181
Xing, Yulong; Chou, Ching-Shan; Shu, Chi-Wang
33
2013
High-order well-balanced finite difference WENO schemes for a class of hyperbolic systems with source terms. Zbl 1115.76059
Xing, Yulong; Shu, Chi-Wang
32
2006
Fourth order exponential time differencing method with local discontinuous Galerkin approximation for coupled nonlinear Schrödinger equations. Zbl 1388.65086
Liang, Xiao; Khaliq, A. Q. M.; Xing, Yulong
31
2015
High order finite volume WENO schemes for the Euler equations under gravitational fields. Zbl 1349.76356
Li, Gang; Xing, Yulong
25
2016
Well-balanced discontinuous Galerkin methods with hydrostatic reconstruction for the Euler equations with gravitation. Zbl 1375.76089
Li, Gang; Xing, Yulong
24
2018
Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number. Zbl 1276.65080
Feng, Xiaobing; Xing, Yulong
23
2013
Superconvergence of the local discontinuous Galerkin method for the linearized Korteweg-de Vries equation. Zbl 1291.65301
Hufford, Casey; Xing, Yulong
23
2014
Analysis of mixed interior penalty discontinuous Galerkin methods for the Cahn-Hilliard equation and the Hele-Shaw flow. Zbl 1382.65314
Feng, Xiaobing; Li, Yukun; Xing, Yulong
23
2016
Well-balanced discontinuous Galerkin methods for the Euler equations under gravitational fields. Zbl 1381.76184
Li, Gang; Xing, Yulong
20
2016
\(L^2\) stable discontinuous Galerkin methods for one-dimensional two-way wave equations. Zbl 1352.65338
Cheng, Yingda; Chou, Ching-Shan; Li, Fengyan; Xing, Yulong
16
2017
A posteriori error estimates for conservative local discontinuous Galerkin methods for the generalized Korteweg-de Vries equation. Zbl 1388.65100
Karakashian, Ohannes; Xing, Yulong
15
2016
High-order well-balanced schemes. Zbl 1266.65147
Noelle, Sebastian; Xing, Yulong; Shu, Chi-Wang
10
2009
Well-balanced finite difference weighted essentially non-oscillatory schemes for the Euler equations with static gravitational fields. Zbl 1409.76090
Li, Gang; Xing, Yulong
10
2018
Numerical methods for the nonlinear shallow water equations. Zbl 1366.76066
Xing, Y.
10
2017
An invariant preserving discontinuous Galerkin method for the Camassa-Holm equation. Zbl 1382.65321
Liu, Hailiang; Xing, Yulong
10
2016
Entropy stable and well-balanced discontinuous Galerkin methods for the nonlinear shallow water equations. Zbl 1445.76055
Wen, Xiao; Don, Wai Sun; Gao, Zhen; Xing, Yulong
7
2020
Optimal energy conserving and energy dissipative local discontinuous Galerkin methods for the Benjamin-Bona-Mahony equation. Zbl 1436.65143
Li, Xiaole; Xing, Yulong; Chou, Ching-Shan
6
2020
Convolution neural network shock detector for numerical solution of conservation laws. Zbl 07419160
Sun, Zheng; Wang, Shuyi; Chang, Lo-Bin; Xing, Yulong; Xiu, Dongbin
5
2020
Moist multi-scale models for the hurricane embryo. Zbl 1197.76134
Majda, Andrew J.; Xing, Yulong; Mohammadian, Majid
5
2010
New multi-scale models on mesoscales and squall lines. Zbl 1278.86006
Majda, Andrew J.; Xing, Yulong
5
2010
High order finite volume WENO schemes for the shallow water flows through channels with irregular geometry. Zbl 1382.76190
Xing, Yulong
5
2016
Local discontinuous Galerkin methods for the Boussinesq coupled BBM system. Zbl 1393.65050
Buli, Joshua; Xing, Yulong
4
2018
Well-balanced discontinuous Galerkin methods for the one-dimensional blood flow through arteries model with man-at-eternal-rest and living-man equilibria. Zbl 07200203
Britton, Jolene; Xing, Yulong
3
2020
Uniformly high-order structure-preserving discontinuous Galerkin methods for Euler equations with gravitation: positivity and well-balancedness. Zbl 1466.65150
Wu, Kailiang; Xing, Yulong
3
2021
Bound-preserving discontinuous Galerkin methods for conservative phase space advection in curvilinear coordinates. Zbl 1354.65190
Endeve, Eirik; Hauck, Cory D.; Xing, Yulong; Mezzacappa, Anthony
3
2015
Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes. Zbl 1489.65148
Sun, Zheng; Xing, Yulong
3
2021
Local discontinuous Galerkin methods for the Khokhlov-Zabolotskaya-Kuznetzov equation. Zbl 1395.65073
Chou, Ching-Shan; Sun, Weizhou; Xing, Yulong; Yang, He
2
2017
Recent developments in discontinuous Galerkin finite element methods for partial differential equations. Papers based on the 2012 John H. Barrett memorial lectures, Knoxville, TN, USA, May 9–11, 2012. Zbl 1279.65005
2
2014
Application of positivity-preserving well-balanced discontinuous Galerkin method in computational hydrology. Zbl 1390.76368
Wen, Xiao; Gao, Zhen; Don, Wai Sun; Xing, Yulong; Li, Peng
2
2016
A discontinuous Galerkin method for the Aw-Rascle traffic flow model on networks. Zbl 1453.65310
Buli, Joshua; Xing, Yulong
2
2020
High order still-water and moving-water equilibria preserving discontinuous Galerkin methods for the Ripa model. Zbl 1448.35386
Britton, Jolene; Xing, Yulong
1
2020
High order finite difference Hermite WENO fixed-point fast sweeping method for static Hamilton-Jacobi equations. Zbl 1484.65188
Ren, Yupeng; Xing, Yulong; Qiu, Jianxian
1
2022
Energy conserving local discontinuous Galerkin methods for the improved Boussinesq equation. Zbl 1453.65334
Li, Xiaole; Sun, Weizhou; Xing, Yulong; Chou, Ching-Shan
1
2020
On structure-preserving discontinuous Galerkin methods for Hamiltonian partial differential equations: energy conservation and multi-symplecticity. Zbl 07507226
Sun, Zheng; Xing, Yulong
1
2020
High order finite difference Hermite WENO fixed-point fast sweeping method for static Hamilton-Jacobi equations. Zbl 1484.65188
Ren, Yupeng; Xing, Yulong; Qiu, Jianxian
1
2022
Uniformly high-order structure-preserving discontinuous Galerkin methods for Euler equations with gravitation: positivity and well-balancedness. Zbl 1466.65150
Wu, Kailiang; Xing, Yulong
3
2021
Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes. Zbl 1489.65148
Sun, Zheng; Xing, Yulong
3
2021
Entropy stable and well-balanced discontinuous Galerkin methods for the nonlinear shallow water equations. Zbl 1445.76055
Wen, Xiao; Don, Wai Sun; Gao, Zhen; Xing, Yulong
7
2020
Optimal energy conserving and energy dissipative local discontinuous Galerkin methods for the Benjamin-Bona-Mahony equation. Zbl 1436.65143
Li, Xiaole; Xing, Yulong; Chou, Ching-Shan
6
2020
Convolution neural network shock detector for numerical solution of conservation laws. Zbl 07419160
Sun, Zheng; Wang, Shuyi; Chang, Lo-Bin; Xing, Yulong; Xiu, Dongbin
5
2020
Well-balanced discontinuous Galerkin methods for the one-dimensional blood flow through arteries model with man-at-eternal-rest and living-man equilibria. Zbl 07200203
Britton, Jolene; Xing, Yulong
3
2020
A discontinuous Galerkin method for the Aw-Rascle traffic flow model on networks. Zbl 1453.65310
Buli, Joshua; Xing, Yulong
2
2020
High order still-water and moving-water equilibria preserving discontinuous Galerkin methods for the Ripa model. Zbl 1448.35386
Britton, Jolene; Xing, Yulong
1
2020
Energy conserving local discontinuous Galerkin methods for the improved Boussinesq equation. Zbl 1453.65334
Li, Xiaole; Sun, Weizhou; Xing, Yulong; Chou, Ching-Shan
1
2020
On structure-preserving discontinuous Galerkin methods for Hamiltonian partial differential equations: energy conservation and multi-symplecticity. Zbl 07507226
Sun, Zheng; Xing, Yulong
1
2020
Well-balanced discontinuous Galerkin methods with hydrostatic reconstruction for the Euler equations with gravitation. Zbl 1375.76089
Li, Gang; Xing, Yulong
24
2018
Well-balanced finite difference weighted essentially non-oscillatory schemes for the Euler equations with static gravitational fields. Zbl 1409.76090
Li, Gang; Xing, Yulong
10
2018
Local discontinuous Galerkin methods for the Boussinesq coupled BBM system. Zbl 1393.65050
Buli, Joshua; Xing, Yulong
4
2018
\(L^2\) stable discontinuous Galerkin methods for one-dimensional two-way wave equations. Zbl 1352.65338
Cheng, Yingda; Chou, Ching-Shan; Li, Fengyan; Xing, Yulong
16
2017
Numerical methods for the nonlinear shallow water equations. Zbl 1366.76066
Xing, Y.
10
2017
Local discontinuous Galerkin methods for the Khokhlov-Zabolotskaya-Kuznetzov equation. Zbl 1395.65073
Chou, Ching-Shan; Sun, Weizhou; Xing, Yulong; Yang, He
2
2017
High order finite volume WENO schemes for the Euler equations under gravitational fields. Zbl 1349.76356
Li, Gang; Xing, Yulong
25
2016
Analysis of mixed interior penalty discontinuous Galerkin methods for the Cahn-Hilliard equation and the Hele-Shaw flow. Zbl 1382.65314
Feng, Xiaobing; Li, Yukun; Xing, Yulong
23
2016
Well-balanced discontinuous Galerkin methods for the Euler equations under gravitational fields. Zbl 1381.76184
Li, Gang; Xing, Yulong
20
2016
A posteriori error estimates for conservative local discontinuous Galerkin methods for the generalized Korteweg-de Vries equation. Zbl 1388.65100
Karakashian, Ohannes; Xing, Yulong
15
2016
An invariant preserving discontinuous Galerkin method for the Camassa-Holm equation. Zbl 1382.65321
Liu, Hailiang; Xing, Yulong
10
2016
High order finite volume WENO schemes for the shallow water flows through channels with irregular geometry. Zbl 1382.76190
Xing, Yulong
5
2016
Application of positivity-preserving well-balanced discontinuous Galerkin method in computational hydrology. Zbl 1390.76368
Wen, Xiao; Gao, Zhen; Don, Wai Sun; Xing, Yulong; Li, Peng
2
2016
Fourth order exponential time differencing method with local discontinuous Galerkin approximation for coupled nonlinear Schrödinger equations. Zbl 1388.65086
Liang, Xiao; Khaliq, A. Q. M.; Xing, Yulong
31
2015
Bound-preserving discontinuous Galerkin methods for conservative phase space advection in curvilinear coordinates. Zbl 1354.65190
Endeve, Eirik; Hauck, Cory D.; Xing, Yulong; Mezzacappa, Anthony
3
2015
A survey of high order schemes for the shallow water equations. Zbl 1324.76035
Xing, Yulong; Shu, Chi-Wang
51
2014
Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium. Zbl 1349.76289
Xing, Yulong
47
2014
Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media. Zbl 1349.65446
Chou, Ching-Shan; Shu, Chi-Wang; Xing, Yulong
36
2014
Superconvergence of the local discontinuous Galerkin method for the linearized Korteweg-de Vries equation. Zbl 1291.65301
Hufford, Casey; Xing, Yulong
23
2014
Recent developments in discontinuous Galerkin finite element methods for partial differential equations. Papers based on the 2012 John H. Barrett memorial lectures, Knoxville, TN, USA, May 9–11, 2012. Zbl 1279.65005
2
2014
Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation. Zbl 1276.65058
Bona, J. L.; Chen, H.; Karakashian, O.; Xing, Y.
73
2013
Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes. Zbl 1282.76134
Xing, Yulong; Zhang, Xiangxiong
47
2013
High order well-balanced WENO scheme for the gas dynamics equations under gravitational fields. Zbl 1260.76022
Xing, Yulong; Shu, Chi-Wang
43
2013
Energy conserving local discontinuous Galerkin methods for wave propagation problems. Zbl 1273.65181
Xing, Yulong; Chou, Ching-Shan; Shu, Chi-Wang
33
2013
Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number. Zbl 1276.65080
Feng, Xiaobing; Xing, Yulong
23
2013
On the advantage of well-balanced schemes for moving-water equilibria of the shallow water equations. Zbl 1409.76086
Xing, Yulong; Shu, Chi-Wang; Noelle, Sebastian
42
2011
Moist multi-scale models for the hurricane embryo. Zbl 1197.76134
Majda, Andrew J.; Xing, Yulong; Mohammadian, Majid
5
2010
New multi-scale models on mesoscales and squall lines. Zbl 1278.86006
Majda, Andrew J.; Xing, Yulong
5
2010
High-order well-balanced schemes. Zbl 1266.65147
Noelle, Sebastian; Xing, Yulong; Shu, Chi-Wang
10
2009
High-order well-balanced finite volume WENO schemes for shallow water equation with moving water. Zbl 1120.76046
Noelle, Sebastian; Xing, Yulong; Shu, Chi-Wang
109
2007
High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms. Zbl 1089.65091
Xing, Yulong; Shu, Chi-Wang
106
2006
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. Zbl 1115.65096
Xing, Yulong; Shu, Chi-Wang
65
2006
High-order well-balanced finite difference WENO schemes for a class of hyperbolic systems with source terms. Zbl 1115.76059
Xing, Yulong; Shu, Chi-Wang
32
2006
High order finite difference WENO schemes with the exact conservation property for the shallow water equations. Zbl 1114.76340
Xing, Yulong; Shu, Chi-Wang
141
2005
all top 5

Cited by 821 Authors

37 Xing, Yulong
29 Shu, Chi-Wang
21 Li, Gang
15 Castro, Manuel J.
14 Berthon, Christophe
13 Kurganov, Alexander
12 Cheng, Yingda
12 Gao, Zhen
12 Liu, Hailiang
12 Parés Madroñal, Carlos
11 Kesserwani, Georges
11 Xia, Yinhua
11 Xu, Yan
10 Dehghan Takht Fooladi, Mehdi
9 Don, Wai Sun
9 Dumbser, Michael
9 Li, Yukun
9 Noelle, Sebastian
9 Qian, Shouguo
8 Abbaszadeh, Mostafa
8 Foucher, Françoise
8 Li, Fengyan
8 Qiu, Jianxian
8 Seaïd, Mohammed
7 Benkhaldoun, Fayssal
7 Caleffi, Valerio
7 Duran, Arnaud
7 Klingenberg, Christian
7 Li, Maojun
7 Marche, Fabien
7 Meng, Xiong
7 Murillo, Javier
7 Touma, Rony
7 Wu, Boying
6 Dong, Jian
6 Gao, Jinmei
6 Kubatko, Ethan J.
6 Li, Peng
6 Ricchiuto, Mario
6 Semplice, Matteo
6 Zhang, Qian
5 Appelö, Daniel
5 Chandrashekar, Praveen
5 Chertock, Alina E.
5 Chou, Ching-Shan
5 Huang, Juntao
5 Liu, Yuan
5 Majda, Andrew J.
5 Navas-Montilla, A.
5 Puppo, Gabriella
5 Tang, Huazhong
5 Winters, Andrew R.
5 Yi, Nianyu
4 Baccouch, Mahboub
4 Bona, Jerry Lloyd
4 Chen, Guoxian
4 Clain, Stéphane Louis
4 Cockburn, Bernardo
4 Donat, Rosa
4 Feng, Xiaobing
4 Gallardo, José M.
4 Gassner, Gregor J.
4 Hagstrom, Thomas M.
4 Hernández-Dueñas, Gerardo
4 Herty, Michael Matthias
4 Huang, Yunqing
4 Karakashian, Ohannes A.
4 Li, Buyang
4 Li, Dingfang
4 Li, Jiaojiao
4 Liang, Qiuhua
4 Michel-Dansac, Victor
4 Mitsotakis, Dimitrios E.
4 Mose, Robert
4 Smith, Leslie M.
4 Valiani, Alessandro
4 Vázquez, José Antonio
4 Wang, Baoshan
4 Wen, Xiao
4 Xiao, Feng
4 Zhang, Dazhi
4 Zhang, Mengping
4 Zhang, Xiangxiong
3 Berberich, Jonas P.
3 Bokil, Vrushali A.
3 Britton, Jolene
3 Bui-Thanh, Tan
3 Cao, Waixiang
3 Castro-Díaz, Manuel Jesús
3 Caviedes-Voullième, Daniel
3 Chalons, Christophe
3 Cheng, Yongping
3 Cravero, Isabella
3 Črnjarić-Žic, Nelida
3 Crnković, Bojan
3 Delestre, Olivier
3 Dong, Haiyun
3 Ern, Alexandre
3 Fernández-Nieto, Enrique Domingo
3 Fu, Guosheng
...and 721 more Authors
all top 5

Cited in 91 Serials

107 Journal of Computational Physics
94 Journal of Scientific Computing
34 Computers and Fluids
24 Journal of Computational and Applied Mathematics
21 Applied Numerical Mathematics
20 Computer Methods in Applied Mechanics and Engineering
20 Communications in Computational Physics
19 Applied Mathematics and Computation
19 SIAM Journal on Scientific Computing
17 Computers & Mathematics with Applications
16 SIAM Journal on Numerical Analysis
15 Mathematics of Computation
11 Advances in Applied Mathematics and Mechanics
8 International Journal for Numerical Methods in Fluids
8 International Journal of Numerical Analysis and Modeling
7 Applied Mathematical Modelling
7 Communications on Applied Mathematics and Computation
6 Numerische Mathematik
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Numerical Algorithms
5 Engineering Analysis with Boundary Elements
4 Journal of Fluid Mechanics
4 International Journal for Numerical Methods in Engineering
4 Numerical Methods for Partial Differential Equations
3 Journal of Mathematical Analysis and Applications
3 Mathematics and Computers in Simulation
3 International Journal of Computer Mathematics
3 Computational and Applied Mathematics
3 Advances in Computational Mathematics
3 Computational Geosciences
3 East Asian Journal on Applied Mathematics
2 BIT
2 Calcolo
2 Communications in Nonlinear Science and Numerical Simulation
2 Discrete and Continuous Dynamical Systems. Series B
2 Computational Methods in Applied Mathematics
2 Journal of Applied Mathematics and Computing
2 Networks and Heterogeneous Media
2 Advances in Mathematical Physics
2 Science China. Mathematics
2 AMM. Applied Mathematics and Mechanics. (English Edition)
1 Acta Mechanica
1 Classical and Quantum Gravity
1 Communications on Pure and Applied Mathematics
1 Geophysical and Astrophysical Fluid Dynamics
1 Journal of Engineering Mathematics
1 Mathematical Methods in the Applied Sciences
1 Wave Motion
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Applied Mathematics and Optimization
1 Nagoya Mathematical Journal
1 Journal of Computational Mathematics
1 Physica D
1 COMPEL
1 European Journal of Applied Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Computational Mathematics and Mathematical Physics
1 SIAM Journal on Applied Mathematics
1 Complexity
1 Journal of Difference Equations and Applications
1 Mathematical Problems in Engineering
1 International Journal of Computational Fluid Dynamics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Journal of Inequalities and Applications
1 Chaos
1 Discrete Dynamics in Nature and Society
1 Flow, Turbulence and Combustion
1 International Journal of Applied Mathematics and Computer Science
1 International Journal of Modern Physics C
1 Differentsial’nye Uravneniya i Protsessy Upravleniya
1 Archives of Computational Methods in Engineering
1 Foundations of Computational Mathematics
1 Portugaliae Mathematica. Nova Série
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Multiscale Modeling & Simulation
1 International Journal of Computational Methods
1 Acta Numerica
1 Acta Mechanica Sinica
1 Discrete and Continuous Dynamical Systems. Series S
1 International Journal of Biomathematics
1 Journal of the Korean Society for Industrial and Applied Mathematics
1 Communications in Mathematics and Statistics
1 Iranian Journal of Numerical Analysis and Optimization
1 Research in the Mathematical Sciences
1 International Journal of Applied and Computational Mathematics
1 AIMS Mathematics
1 SMAI Journal of Computational Mathematics
1 SN Partial Differential Equations and Applications
1 Results in Applied Mathematics
1 Water Waves
1 International Journal on Finite Volumes

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