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Author ID: shu.chi-wang Recent zbMATH articles by "Shu, Chi-Wang"
Published as: Shu, Chi-Wang; Shu, Chiwang; Shu, C.-W.; Shu, C.; Shu, Chi-wang
Further Spellings: 舒其望
Homepage: https://www.dam.brown.edu/people/shu/
External Links: MGP · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef · theses.fr
Documents Indexed: 419 Publications since 1987, including 3 Books
22 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 247 Co-Authors with 410 Joint Publications
8,860 Co-Co-Authors
all top 5

Co-Authors

26 single-authored
41 Zhang, Mengping
21 Qiu, Jianxian
20 Cheng, Juan
20 Xu, Yan
19 Zhang, Qiang
16 Cockburn, Bernardo
14 Gottlieb, David I.
13 Xing, Yulong
13 Zhang, Yongtao
13 Zhu, Jun
11 Carrillo de la Plata, José Antonio
11 Cheng, Yingda
11 Martínez Gamba, Irene
11 Zhang, Shuhai
11 Zhang, Xiangxiong
10 Wang, Wei
9 Wang, Haijin
9 Xia, Yinhua
9 Yang, Yang
8 Liu, Yingjie
7 E, Weinan
7 Lu, Jianfang
6 Amat, Sergio P.
6 Gottlieb, Sigal
6 Jerome, Joseph W.
6 Li, Fengyan
6 Majorana, Armando
6 Osher, Stanley Joel
6 Sun, Zheng
6 Tadmor, Eitan
6 Tan, Sirui
6 Wong, Sze Chun
5 Hu, Changqing
5 Huang, Juntao
5 Liu, Yunxian
5 Meng, Xiong
5 Qiu, Jingmei
5 Ryan, Jennifer K.
5 Xu, Zhiliang
5 Yee, Helen C.
4 Abgrall, Rémi
4 Cheng, Shiu-Yuen
4 Chou, Ching-Shan
4 Du, Jie
4 Fu, Guosheng
4 Hesthaven, Jan S.
4 Li, Jichun
4 Sjogreen, Bjorn
4 Wu, Kailiang
4 Xiong, Tao
4 Xu, Zhengfu
4 Zhang, Zhimin
4 Zhong, Xinghui
3 Bokanowski, Olivier
3 Cai, Wei
3 Cao, Waixiang
3 Chen, Shanqin
3 Chen, Tianheng
3 Dong, Bo
3 Filbet, Francis
3 Guo, Yan
3 Guzmán, Johnny
3 Jiang, Shufen
3 Jiang, Yan
3 Kang, Ming-Chang
3 Karniadakis, George Em
3 Li, Tingting
3 Ling, Dan
3 Liu, Kefeng
3 Liu, Yuan
3 Noelle, Sebastian
3 Shi, Cengke
3 Tang, Shanjian
3 Tao, Qi
3 Vilar, François
3 Wu, Boying
3 Yan, Jue
3 Yang, Lo
3 Yau, Shing-Tung
3 Zhang, Hanxin
3 Zheng, Feng
3 Zhou, Tie
2 Atkins, Harold L.
2 Balsara, Dinshaw S.
2 Carpenter, Mark H.
2 Cercignani, Carlo
2 Chen, Yanlai
2 Chen, Zheng
2 Dumbser, Michael
2 Erlebacher, Gordon
2 Fang, Jinwei
2 Jiang, Guangshan
2 Ketcheson, David I.
2 Kotov, Dmitry V.
2 Kučera, Václav
2 Lam, William H. K.
2 Lei, Nuo
2 Lepsky, Olga
2 Levy, Doron
2 Li, Yue
...and 148 more Co-Authors
all top 5

Serials

104 Journal of Computational Physics
42 Journal of Scientific Computing
29 SIAM Journal on Numerical Analysis
24 SIAM Journal on Scientific Computing
21 Communications in Computational Physics
15 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
14 Mathematics of Computation
11 Computer Methods in Applied Mechanics and Engineering
9 Journal of Computational and Applied Mathematics
8 Computers and Fluids
8 Numerische Mathematik
8 Applied Numerical Mathematics
8 Communications on Applied Mathematics and Computation
7 Journal of Computational Mathematics
7 International Journal of Numerical Analysis and Modeling
6 Science China. Mathematics
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Methods and Applications of Analysis
4 Physica D
4 Physics of Fluids
3 IMA Journal of Numerical Analysis
3 SIAM Review
3 Multiscale Modeling & Simulation
2 Computers & Mathematics with Applications
2 Journal of Fluid Mechanics
2 Transport Theory and Statistical Physics
2 Applied Mathematics and Computation
2 International Journal for Numerical Methods in Engineering
2 Quarterly of Applied Mathematics
2 Acta Mathematicae Applicatae Sinica. English Series
2 Applied Mathematics Letters
2 Contemporary Mathematics
2 Handbook of Numerical Analysis
2 Kinetic and Related Models
2 Advances in Applied Mathematics and Mechanics
2 Annals of Mathematical Sciences and Applications
1 AIAA Journal
1 International Journal for Numerical Methods in Fluids
1 Nonlinearity
1 Physics of Fluids, A
1 Mathematica Numerica Sinica
1 SIAM Journal on Scientific and Statistical Computing
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematical Modelling
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 Notices of the American Mathematical Society
1 Chinese Science Bulletin
1 Advances in Computational Mathematics
1 Engineering Analysis with Boundary Elements
1 International Journal of Computational Fluid Dynamics
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of Mathematical Study
1 Discrete and Continuous Dynamical Systems. Series B
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Lecture Notes in Mathematics
1 Lecture Notes in Computational Science and Engineering
1 Acta Mechanica Sinica
1 Inverse Problems and Imaging
1 Scientia Sinica. Mathematica
1 S\(\vec{\text{e}}\)MA Journal
1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 Advanced Courses in Mathematics – CRM Barcelona

Publications by Year

Citations contained in zbMATH Open

381 Publications have been cited 22,453 times in 7,168 Documents Cited by Year
Efficient implementation of weighted ENO schemes. Zbl 0877.65065
Jiang, Guang-Shan; Shu, Chi-Wang
1996
Efficient implementation of essentially nonoscillatory shock-capturing schemes. Zbl 0653.65072
Shu, Chi-Wang; Osher, Stanley
1988
The local discontinuous Galerkin method for time-dependent convection-diffusion systems. Zbl 0927.65118
Cockburn, Bernardo; Shu, Chi-Wang
886
1998
Efficient implementation of essentially nonoscillatory shock-capturing schemes. II. Zbl 0674.65061
Shu, Chi-Wang; Osher, Stanley
833
1989
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II: General framework. Zbl 0662.65083
Cockburn, Bernardo; Shu, Chi-Wang
817
1989
The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems. Zbl 0920.65059
Cockburn, Bernardo; Shu, Chi-Wang
749
1998
Strong stability-preserving high-order time discretization methods. Zbl 0967.65098
Gottlieb, Sigal; Shu, Chi-Wang; Tadmor, Eitan
736
2001
Runge–Kutta discontinuous Galerkin methods for convection-dominated problems. Zbl 1065.76135
Cockburn, Bernardo; Shu, Chi-Wang
658
2001
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems. Zbl 0677.65093
Cockburn, Bernardo; Lin, San-Yih; Shu, Chi-Wang
564
1989
The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV: The multidimensional case. Zbl 0695.65066
Cockburn, Bernardo; Hou, Suchung; Shu, Chi-Wang
559
1990
Total variation diminishing Runge-Kutta schemes. Zbl 0897.65058
Gottlieb, Sigal; Shu, Chi-Wang
542
1998
Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. Zbl 0927.65111
Shu, Chi-Wang
449
1998
Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. Zbl 0961.65078
Balsara, Dinshaw S.; Shu, Chi-Wang
401
2000
Total-variation-diminishing time discretizations. Zbl 0662.65081
Shu, Chiwang
341
1988
High order weighted essentially nonoscillatory schemes for convection dominated problems. Zbl 1160.65330
Shu, Chi-Wang
322
2009
Weighted essentially non-oscillatory schemes on triangular meshes. Zbl 0926.65090
Hu, Changqing; Shu, Chi-Wang
310
1999
The development of discontinuous Galerkin methods. Zbl 0989.76045
Cockburn, Bernardo; Karniadakis, George E.; Shu, Chi-Wang
290
2000
High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations. Zbl 0736.65066
Osher, Stanley; Shu, Chi-Wang
246
1991
The Runge-Kutta local projection \(P^ 1\)-discontinuous-Galerkin finite element method for scalar conservation laws. Zbl 0732.65094
Cockburn, Bernardo; Shu, Chi-Wang
238
1991
On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. Zbl 1282.76128
Zhang, Xiangxiong; Shu, Chi-Wang
221
2010
On the Gibbs phenomenon and its resolution. Zbl 0885.42003
Gottlieb, David; Shu, Chi-Wang
220
1997
On maximum-principle-satisfying high order schemes for scalar conservation laws. Zbl 1187.65096
Zhang, Xiangxiong; Shu, Chi-Wang
212
2010
A local discontinuous Galerkin method for KdV type equations. Zbl 1021.65050
Yan, Jue; Shu, Chi-Wang
172
2002
Runge-Kutta discontinuous Galerkin method using WENO limiters. Zbl 1077.65109
Qiu, Jianxian; Shu, Chi-Wang
166
2005
A technique of treating negative weights in WENO schemes. Zbl 0992.65094
Shi, Jing; Hu, Changqing; Shu, Chi-Wang
165
2002
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case. Zbl 1039.65068
Qiu, Jianxian; Shu, Chi-Wang
159
2004
Strong stability preserving Runge-Kutta and multistep time discretizations. Zbl 1241.65064
Gottlieb, Sigal; Ketcheson, David; Shu, Chi-Wang
138
2011
Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments. Zbl 1222.65107
Zhang, Xiangxiong; Shu, Chi-Wang
136
2011
TVB uniformly high-order schemes for conservation laws. Zbl 0628.65075
Shu, Chiwang
136
1987
High order finite difference WENO schemes with the exact conservation property for the shallow water equations. Zbl 1114.76340
Xing, Yulong; Shu, Chi-Wang
132
2005
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case. Zbl 1134.65358
Qiu, Jianxian; Shu, Chi-Wang
127
2005
Locally divergence-free discontinuous Galerkin methods for the Maxwell equations. Zbl 1049.78019
Cockburn, Bernardo; Li, Fengyan; Shu, Chi-Wang
118
2004
Local discontinuous Galerkin methods for high-order time-dependent partial differential equations. Zbl 1364.65205
Xu, Yan; Shu, Chi-Wang
113
2010
High order strong stability preserving time discretizations. Zbl 1203.65135
Gottlieb, Sigal; Ketcheson, David I.; Shu, Chi-Wang
113
2009
Local discontinuous Galerkin methods for nonlinear Schrödinger equations. Zbl 1072.65130
Xu, Yan; Shu, Chi-Wang
111
2005
Resolution of high order WENO schemes for complicated flow structures. Zbl 1047.76081
Shi, Jing; Zhang, Yong-Tao; Shu, Chi-Wang
105
2003
On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes. Zbl 1018.65106
Qiu, Jianxian; Shu, Chi-Wang
104
2002
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
103
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
100
2006
High-order finite difference and finite volume WENO schemes and discontinuous Galerkin methods for CFD. Zbl 1034.76044
Shu, Chi-Wang
97
2003
Error estimates to smooth solutions of Runge-Kutta discontinuous Galerkin methods for scalar conservation laws. Zbl 1078.65080
Zhang, Qiang; Shu, Chi-Wang
94
2004
Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes. Zbl 1247.65131
Zhang, Xiangxiong; Xia, Yinhua; Shu, Chi-Wang
93
2012
Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes. Zbl 1157.65453
Zhu, Jun; Qiu, Jianxian; Shu, Chi-Wang; Dumbser, Michael
92
2008
A discontinuous Galerkin finite element method for Hamilton-Jacobi equations. Zbl 0946.65090
Hu, Changqing; Shu, Chi-Wang
87
1999
Local discontinuous Galerkin methods for partial differential equations with higher order derivatives. Zbl 1003.65115
Yan, Jue; Shu, Chi-Wang
86
2002
High-order WENO schemes for Hamilton-Jacobi equations on triangular meshes. Zbl 1034.65051
Zhang, Yong-Tao; Shu, Chi-Wang
86
2003
On a cell entropy inequality for discontinuous Galerkin methods. Zbl 0801.65098
Jiang, Guangshan; Shu, Chi-Wang
83
1994
A comparison of troubled-cell indicators for Runge-Kutta discontinuous Galerkin methods using weighted essentially nonoscillatory limiters. Zbl 1092.65084
Qiu, Jianxian; Shu, Chi-Wang
82
2005
Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms. Zbl 1391.76375
Zhang, Xiangxiong; Shu, Chi-Wang
82
2011
An efficient class of WENO schemes with adaptive order. Zbl 1422.65146
Balsara, Dinshaw S.; Garain, Sudip; Shu, Chi-Wang
81
2016
Superconvergence of discontinuous Galerkin and local discontinuous Galerkin schemes for linear hyperbolic and convection-diffusion equations in one space dimension. Zbl 1208.65137
Cheng, Yingda; Shu, Chi-Wang
80
2010
Positivity-preserving high order finite difference WENO schemes for compressible Euler equations. Zbl 1426.76493
Zhang, Xiangxiong; Shu, Chi-Wang
78
2012
A high-order ENO conservative Lagrangian type scheme for the compressible Euler equations. Zbl 1126.76035
Cheng, Juan; Shu, Chi-Wang
77
2007
A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives. Zbl 1141.65075
Cheng, Yingda; Shu, Chi-Wang
77
2008
Enhanced accuracy by post-processing for finite element methods for hyperbolic equations. Zbl 1015.65049
Cockburn, Bernardo; Luskin, Mitchell; Shu, Chi-Wang; Süli, Endre
76
2003
Local discontinuous Galerkin methods for the Cahn-Hilliard type equations. Zbl 1131.65088
Xia, Yinhua; Xu, Yan; Shu, Chi-Wang
74
2007
On the Gibbs phenomenon. I: Recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function. Zbl 0781.42022
Gottlieb, David; Shu, Chi-Wang; Solomonoff, Alex; Vandeven, Hervé
73
1992
On positivity preserving finite volume schemes for Euler equations. Zbl 0857.76062
Perthame, Benoit; Shu, Chi-Wang
72
1996
Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws. Zbl 1380.65253
Chen, Tianheng; Shu, Chi-Wang
72
2017
Third order WENO scheme on three dimensional tetrahedral meshes. Zbl 1364.65177
Zhang, Yong-Tao; Shu, Chi-Wang
72
2009
Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes. Zbl 1349.65501
Zhu, Jun; Zhong, Xinghui; Shu, Chi-Wang; Qiu, Jianxian
71
2013
A local discontinuous Galerkin method for the Camassa-Holm equation. Zbl 1173.65063
Xu, Yan; Shu, Chi-Wang
71
2008
Stability analysis and a priori error estimates of the third order explicit Runge-Kutta discontinuous Galerkin method for scalar conservation laws. Zbl 1217.65178
Zhang, Qiang; Shu, Chi-Wang
69
2010
High order ENO and WENO schemes for computational fluid dynamics. Zbl 0937.76044
Shu, Chi-Wang
68
1999
Central discontinuous Galerkin methods on overlapping cells with a nonoscillatory hierarchical reconstruction. Zbl 1157.65450
Liu, Yingjie; Shu, Chi-Wang; Tadmor, Eitan; Zhang, Mengping
68
2007
Local discontinuous Galerkin methods for nonlinear dispersive equations. Zbl 1055.65109
Levy, Doron; Shu, Chi-Wang; Yan, Jue
67
2004
Analysis of optimal superconvergence of discontinuous Galerkin method for linear hyperbolic equations. Zbl 1276.65055
Yang, Yang; Shu, Chi-Wang
66
2012
Small-scale structures in Boussinesq convection. Zbl 0822.76087
E, Weinan; Shu, Chi-Wang
64
1994
Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations. Zbl 1173.65338
Xu, Yan; Shu, Chi-Wang
63
2007
Positivity-preserving method for high-order conservative schemes solving compressible Euler equations. Zbl 1311.76088
Hu, Xiangyu Y.; Adams, Nikolaus A.; Shu, Chi-Wang
63
2013
Optimal error estimates of the semidiscrete local discontinuous Galerkin methods for high order wave equations. Zbl 1247.65121
Xu, Yan; Shu, Chi-Wang
62
2012
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
62
2006
Anti-diffusive flux corrections for high order finite difference WENO schemes. Zbl 1087.76080
Xu, Zhengfu; Shu, Chi-Wang
62
2005
Development of nonlinear weighted compact schemes with increasingly higher order accuracy. Zbl 1152.65094
Zhang, Shuhai; Jiang, Shufen; Shu, Chi-Wang
61
2008
Numerical experiments on the accuracy of ENO and modified ENO schemes. Zbl 0732.65085
Shu, Chi-Wang
61
1990
Locally divergence-free discontinuous Galerkin methods for MHD equations. Zbl 1123.76341
Li, Fengyan; Shu, Chi-Wang
60
2005
Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: theoretical analysis and application to the Vlasov-Poisson system. Zbl 1273.65147
Qiu, Jing-Mei; Shu, Chi-Wang
58
2011
Stability and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for advection-diffusion problems. Zbl 1327.65179
Wang, Haijin; Shu, Chi-Wang; Zhang, Qiang
58
2015
The discontinuous Galerkin method with Lax–Wendroff type time discretizations. Zbl 1093.76038
Qiu, Jianxian; Dumbser, Michael; Shu, Chi-Wang
55
2005
Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws. Zbl 1198.65174
Tan, Sirui; Shu, Chi-Wang
55
2010
A high-order discontinuous Galerkin method for 2D incompressible flows. Zbl 0963.76069
Liu, Jian-Guo; Shu, Chi-Wang
55
2000
Discontinuous Galerkin methods. Theory, computation and applications. 1st international symposium on DGM, Newport, RI, USA, May 24–26, 1999. Zbl 0935.00043
54
2000
Nonlinearly stable compact schemes for shock calculations. Zbl 0805.65085
Cockburn, Bernardo; Shu, Chi-Wang
54
1994
High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments. Zbl 1349.65486
Shu, Chi-Wang
53
2016
Finite difference WENO schemes with Lax-Wendroff-type time discretizations. Zbl 1034.65073
Qiu, Jianxian; Shu, Chi-Wang
53
2003
Local discontinuous Galerkin methods for the Kuramoto-Sivashinsky equations and the Ito-type coupled KdV equations. Zbl 1124.76035
Xu, Yan; Shu, Chi-Wang
51
2006
Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations. Zbl 1243.80011
Wang, Cheng; Zhang, Xiangxiong; Shu, Chi-Wang; Ning, Jianguo
49
2012
An analysis of three different formulations of the discontinuous Galerkin method for diffusion equations. Zbl 1050.65094
Zhang, Mengping; Shu, Chi-Wang
49
2003
Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equations. Zbl 1078.35111
Xu, Yan; Shu, Chi-Wang
48
2005
Analysis of a local discontinuous Galerkin method for linear time-dependent fourth-order problems. Zbl 1204.65123
Dong, Bo; Shu, Chi-Wang
48
2009
Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations. Zbl 1332.65148
Meng, Xiong; Shu, Chi-Wang; Wu, Boying
48
2016
Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow. Zbl 1391.76489
Qiu, Jing-Mei; Shu, Chi-Wang
48
2011
Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes. Zbl 1284.65140
Zhang, Yifan; Zhang, Xiangxiong; Shu, Chi-Wang
47
2013
High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations. Zbl 1287.76181
Liu, Wei; Cheng, Juan; Shu, Chi-Wang
47
2009
A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations. Zbl 1124.65090
Cheng, Yingda; Shu, Chi-Wang
46
2007
\(L^{2}\) stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods. Zbl 1152.65095
Liu, Yingjie; Shu, Chi-Wang; Tadmor, Eitan; Zhang, Mengping
46
2008
A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes. Zbl 1083.65093
Qiu, Jianxian; Khoo, Boo Cheong; Shu, Chi-Wang
46
2006
A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices: Performance and comparisons with Monte Carlo methods. Zbl 1034.82063
Carrillo, José A.; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang
45
2003
An analysis of and a comparison between the discontinuous Galerkin and the spectral finite volume methods. Zbl 1138.76391
Zhang, Mengping; Shu, Chi-Wang
44
2005
A survey of high order schemes for the shallow water equations. Zbl 1324.76035
Xing, Yulong; Shu, Chi-Wang
42
2014
Stability analysis of inverse Lax-Wendroff boundary treatment of high order compact difference schemes for parabolic equations. Zbl 1481.65145
Li, Tingting; Lu, Jianfang; Shu, Chi-Wang
1
2022
An oscillation-free discontinuous Galerkin method for scalar hyperbolic conservation laws. Zbl 1467.65095
Lu, Jianfang; Liu, Yong; Shu, Chi-Wang
2
2021
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations. Zbl 1480.65271
Wu, Kailiang; Shu, Chi-Wang
2
2021
A high order positivity-preserving conservative WENO remapping method on 2D quadrilateral meshes. Zbl 07337779
Lei, Nuo; Cheng, Juan; Shu, Chi-Wang
2
2021
A local discontinuous Galerkin method for nonlinear parabolic SPDEs. Zbl 1480.65019
Li, Yunzhang; Shu, Chi-Wang; Tang, Shanjian
1
2021
High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on tetrahedral meshes. Zbl 1474.65379
Zhu, Jun; Shu, Chi-Wang; Qiu, Jianxian
1
2021
A discontinuous Galerkin method and its error estimate for nonlinear fourth-order wave equations. Zbl 1456.65124
Tao, Qi; Xu, Yan; Shu, Chi-Wang
1
2021
Enforcing strong stability of explicit Runge-Kutta methods with superviscosity. Zbl 07479324
Sun, Zheng; Shu, Chi-Wang
1
2021
A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes. Zbl 1453.65266
Zhu, Jun; Shu, Chi-Wang
11
2020
High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters. Zbl 1453.65351
Zhu, Jun; Qiu, Jianxian; Shu, Chi-Wang
10
2020
High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on triangular meshes. Zbl 1436.65118
Zhu, Jun; Shu, Chi-Wang; Qiu, Jianxian
7
2020
Local discontinuous Galerkin methods with explicit-implicit-null time discretizations for solving nonlinear diffusion problems. Zbl 1434.65196
Wang, Haijin; Zhang, Qiang; Wang, Shiping; Shu, Chi-Wang
7
2020
Entropy symmetrization and high-order accurate entropy stable numerical schemes for relativistic MHD equations. Zbl 1450.65089
Wu, Kailiang; Shu, Chi-Wang
6
2020
A discontinuous Galerkin method for stochastic conservation laws. Zbl 07149719
Li, Yunzhang; Shu, Chi-Wang; Tang, Shanjian
5
2020
Superconvergence analysis of the Runge-Kutta discontinuous Galerkin methods for a linear hyperbolic equation. Zbl 1465.65105
Xu, Yuan; Meng, Xiong; Shu, Chi-Wang; Zhang, Qiang
4
2020
On a new WENO algorithm of order \(2 r\) with improved accuracy close to discontinuities. Zbl 07187420
Amat, Sergio; Ruiz, Juan; Shu, Chi-Wang
3
2020
Optimal error estimates of the semidiscrete discontinuous Galerkin methods for two dimensional hyperbolic equations on Cartesian meshes using \(P^k\) elements. Zbl 1439.65115
Liu, Yong; Shu, Chi-Wang; Zhang, Mengping
3
2020
Well-balanced finite-volume schemes for hydrodynamic equations with general free energy. Zbl 1434.82098
Carrillo, José A.; Kalliadasis, Serafim; Perez, Sergio P.; Shu, Chi-Wang
3
2020
On the conservation of finite difference WENO schemes in non-rectangular domains using the inverse Lax-Wendroff boundary treatments. Zbl 1440.65086
Ding, Shengrong; Shu, Chi-Wang; Zhang, Mengping
3
2020
An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives. Zbl 1446.65118
Tao, Qi; Xu, Yan; Shu, Chi-Wang
3
2020
Error estimate of the fourth-order Runge-Kutta discontinuous Galerkin methods for linear hyperbolic equations. Zbl 1452.65256
Xu, Yuan; Shu, Chi-Wang; Zhang, Qiang
3
2020
Convergence to steady-state solutions of the new type of high-order multi-resolution WENO schemes: a numerical study. Zbl 1476.65200
Zhu, Jun; Shu, Chi-Wang
2
2020
An ultra-weak discontinuous Galerkin method with implicit-explicit time-marching for generalized stochastic KdV equations. Zbl 1434.65015
Li, Yunzhang; Shu, Chi-Wang; Tang, Shanjian
2
2020
A new WENO-\(2r\) algorithm with progressive order of accuracy close to discontinuities. Zbl 1457.65038
Amat, Sergio P.; Ruiz, Juan; Shu, Chi-Wang; Yáñez, Dionisio F.
2
2020
Analysis of optimal superconvergence of an ultraweak-local discontinuous Galerkin method for a time dependent fourth-order equation. Zbl 1476.65242
Liu, Yong; Tao, Qi; Shu, Chi-Wang
1
2020
On new strategies to control the accuracy of WENO algorithm close to discontinuities. II: Cell averages and multiresolution. Zbl 1463.65213
Amat, Sergio; Ruiz, Juan; Shu, Chiwang
1
2020
Strong stability of explicit Runge-Kutta time discretizations. Zbl 1422.65224
Sun, Zheng; Shu, Chi-Wang
12
2019
A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes. Zbl 1452.76143
Zhu, Jun; Shu, Chi-Wang
10
2019
Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes. Zbl 1419.76446
Wu, Kailiang; Shu, Chi-Wang
10
2019
Positivity-preserving time discretizations for production-destruction equations with applications to non-equilibrium flows. Zbl 1420.35190
Huang, Juntao; Shu, Chi-Wang
9
2019
The \(\mathrm{L}^2\)-norm stability analysis of Runge-Kutta discontinuous Galerkin methods for linear hyperbolic equations. Zbl 1422.65272
Xu, Yuan; Zhang, Qiang; Shu, Chi-Wang; Wang, Haijin
7
2019
Implicit-explicit local discontinuous Galerkin methods with generalized alternating numerical fluxes for convection-diffusion problems. Zbl 1434.65195
Wang, Haijin; Zhang, Qiang; Shu, Chi-Wang
6
2019
An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg-de Vries equation. Zbl 1407.65187
Fu, Guosheng; Shu, Chi-Wang
6
2019
A third-order unconditionally positivity-preserving scheme for production-destruction equations with applications to non-equilibrium flows. Zbl 1444.35125
Huang, Juntao; Zhao, Weifeng; Shu, Chi-Wang
6
2019
Stability analysis and error estimates of arbitrary Lagrangian-Eulerian discontinuous Galerkin method coupled with Runge-Kutta time-marching for linear conservation laws. Zbl 1418.65141
Zhou, Lingling; Xia, Yinhua; Shu, Chi-Wang
6
2019
An entropy stable high-order discontinuous Galerkin method for cross-diffusion gradient flow systems. Zbl 1420.65095
Sun, Zheng; Carrillo, José A.; Shu, Chi-Wang
6
2019
Superconvergence of energy-conserving discontinuous Galerkin methods for linear hyperbolic equations. Zbl 1449.65250
Liu, Yong; Shu, Chi-Wang; Zhang, Mengping
5
2019
Local discontinuous Galerkin methods with implicit-explicit time-marching for time-dependent incompressible fluid flow. Zbl 1405.65129
Wang, Haijin; Liu, Yunxian; Zhang, Qiang; Shu, Chi-Wang
5
2019
High order finite difference Hermite WENO schemes for the Hamilton-Jacobi equations on unstructured meshes. Zbl 1411.76111
Zheng, Feng; Shu, Chi-Wang; Qiu, Jianxian
4
2019
On new strategies to control the accuracy of WENO algorithms close to discontinuities. Zbl 1436.65095
Amat, Sergio; Ruiz, Juan; Shu, Chi-Wang
4
2019
Numerical solutions of stochastic PDEs driven by arbitrary type of noise. Zbl 1475.60112
Chen, Tianheng; Rozovskii, Boris; Shu, Chi-Wang
3
2019
Preface to the focused issue on fractional derivatives and general nonlocal models. Zbl 1449.00002
1
2019
Certified offline-free reduced basis (COFRB) methods for stochastic differential equations driven by arbitrary types of noise. Zbl 1440.65250
Liu, Yong; Chen, Tianheng; Chen, Yanlai; Shu, Chi-Wang
1
2019
High order arbitrary Lagrangian-Eulerian finite difference WENO scheme for Hamilton-Jacobi equations. Zbl 1473.65114
Li, Yue; Cheng, Juan; Xia, Yinhua; Shu, Chi-Wang
1
2019
Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems. Zbl 1452.65230
Fu, Guosheng; Shu, Chi-Wang
1
2019
Bounded and compact weighted essentially nonoscillatory limiters for discontinuous Galerkin schemes: triangular elements. Zbl 1452.76097
Mazaheri, Alireza; Shu, Chi-Wang; Perrier, Vincent
1
2019
Assessment of aeroacoustic resolution properties of DG schemes and comparison with DRP schemes. Zbl 1453.76064
Cheng, Ziqiang; Fang, Jinwei; Shu, Chi-Wang; Zhang, Mengping
1
2019
A new type of multi-resolution WENO schemes with increasingly higher order of accuracy. Zbl 1416.65286
Zhu, Jun; Shu, Chi-Wang
33
2018
A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials. Zbl 1380.65287
Sun, Zheng; Carrillo, José A.; Shu, Chi-Wang
18
2018
Superconvergence of discontinuous Galerkin method for scalar nonlinear hyperbolic equations. Zbl 1450.65116
Cao, Waixiang; Shu, Chi-Wang; Yang, Yang; Zhang, Zhimin
18
2018
Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes. Zbl 1380.76162
Liu, Yong; Shu, Chi-Wang; Zhang, Mengping
15
2018
Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms. Zbl 1422.65259
Huang, Juntao; Shu, Chi-Wang
11
2018
A provably positive discontinuous Galerkin method for multidimensional ideal magnetohydrodynamics. Zbl 1404.65184
Wu, Kailiang; Shu, Chi-Wang
10
2018
Implicit positivity-preserving high-order discontinuous Galerkin methods for conservation laws. Zbl 1380.65285
Qin, Tong; Shu, Chi-Wang
9
2018
Third order implicit-explicit Runge-Kutta local discontinuous Galerkin methods with suitable boundary treatment for convection-diffusion problems with Dirichlet boundary conditions. Zbl 1448.65178
Wang, Haijin; Zhang, Qiang; Shu, Chi-Wang
8
2018
On local conservation of numerical methods for conservation laws. Zbl 1410.65327
Shi, Cengke; Shu, Chi-Wang
7
2018
Discontinuous Galerkin methods for Maxwell’s equations in Drude metamaterials on unstructured meshes. Zbl 1462.65156
Shi, Cengke; Li, Jichun; Shu, Chi-Wang
7
2018
Optimal error estimates of the semidiscrete central discontinuous Galerkin methods for linear hyperbolic equations. Zbl 1383.65108
Liu, Yong; Shu, Chi-Wang; Zhang, Mengping
6
2018
Bound-preserving high-order schemes for hyperbolic equations: survey and recent developments. Zbl 1412.65155
Shu, Chi-Wang
5
2018
Conservative high order positivity-preserving discontinuous Galerkin methods for linear hyperbolic and radiative transfer equations. Zbl 1407.65196
Ling, Dan; Cheng, Juan; Shu, Chi-Wang
5
2018
Positivity-preserving high-order schemes for conservation laws on arbitrarily distributed point clouds with a simple WENO limiter. Zbl 1414.65012
Du, Jie; Shu, Chi-Wang
3
2018
Discontinuous Galerkin methods for a kinetic model of self-organized dynamics. Zbl 1404.65168
Filbet, Francis; Shu, Chi-Wang
1
2018
Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws. Zbl 1380.65253
Chen, Tianheng; Shu, Chi-Wang
72
2017
Optimal non-dissipative discontinuous Galerkin methods for Maxwell’s equations in Drude metamaterials. Zbl 1370.74143
Li, Jichun; Shi, Cengke; Shu, Chi-Wang
28
2017
Local discontinuous Galerkin method for the Keller-Segel chemotaxis model. Zbl 1384.92015
Li, Xingjie Helen; Shu, Chi-Wang; Yang, Yang
27
2017
A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 1380.65262
Fu, Guosheng; Shu, Chi-Wang
18
2017
H(div) conforming and DG methods for incompressible Euler’s equations. Zbl 1433.76085
Guzmán, Johnny; Shu, Chi-Wang; Sequeira, Filánder A.
16
2017
Stability of the fourth order Runge-Kutta method for time-dependent partial differential equations. Zbl 1381.65079
Sun, Zheng; Shu, Chi-Wang
15
2017
Unconditional energy stability analysis of a second order implicit-explicit local discontinuous Galerkin method for the Cahn-Hilliard equation. Zbl 1383.65105
Song, Huailing; Shu, Chi-Wang
15
2017
Superconvergence of discontinuous Galerkin methods for 1-D linear hyperbolic equations with degenerate variable coefficients. Zbl 1382.65274
Cao, Waixiang; Shu, Chi-Wang; Zhang, Zhimin
14
2017
Numerical study on the convergence to steady state solutions of a new class of high order WENO schemes. Zbl 1380.76074
Zhu, Jun; Shu, Chi-Wang
12
2017
A second-order asymptotic-preserving and positivity-preserving discontinuous Galerkin scheme for the Kerr-Debye model. Zbl 1360.65235
Huang, Juntao; Shu, Chi-Wang
9
2017
Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations. Zbl 1415.65204
Zheng, Feng; Shu, Chi-Wang; Qiu, Jianxian
9
2017
Error estimates to smooth solutions of semi-discrete discontinuous Galerkin methods with quadrature rules for scalar conservation laws. Zbl 1361.65067
Huang, Juntao; Shu, Chi-Wang
8
2017
Maximum-principle-satisfying space-time conservation element and solution element scheme applied to compressible multifluids. Zbl 1378.76086
Shen, Hua; Wen, Chih-Yung; Parsani, Matteo; Shu, Chi-Wang
8
2017
Stability analysis of the inverse Lax-Wendroff boundary treatment for high order central difference schemes for diffusion equations. Zbl 1361.65062
Li, Tingting; Shu, Chi-Wang; Zhang, Mengping
5
2017
Stability analysis and error estimates of Lax-Wendroff discontinuous Galerkin methods for linear conservation laws. Zbl 1373.65063
Sun, Zheng; Shu, Chi-Wang
5
2017
Runge-Kutta discontinuous Galerkin method with a simple and compact Hermite WENO limiter on unstructured meshes. Zbl 07413964
Zhu, Jun; Zhong, Xinghui; Shu, Chi-Wang; Qiu, Jianxian
4
2017
Analysis of an embedded discontinuous Galerkin method with implicit-explicit time-marching for convection-diffusion problems. Zbl 1380.65261
Fu, Guosheng; Shu, Chi-Wang
4
2017
Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for the time-dependent fourth order PDEs. Zbl 1407.65204
Wang, Haijin; Zhang, Qiang; Shu, Chi-Wang
4
2017
Positivity-preserving and symmetry-preserving Lagrangian schemes for compressible Euler equations in cylindrical coordinates. Zbl 1390.76473
Ling, Dan; Cheng, Juan; Shu, Chi-Wang
3
2017
Handbook on numerical methods for hyperbolic problems. Applied and modern issues. Zbl 1364.65001
2
2017
A phase-based interior penalty discontinuous Galerkin method for the Helmholtz equation with spatially varying wavenumber. Zbl 1439.65183
Lam, Chi Yeung; Shu, Chi-Wang
2
2017
Bound-preserving high order finite volume schemes for conservation laws and convection-diffusion equations. Zbl 1372.65251
Shu, Chi-Wang
2
2017
A simple bound-preserving sweeping technique for conservative numerical approximations. Zbl 1381.65087
Liu, Yuan; Cheng, Yingda; Shu, Chi-Wang
2
2017
A brief survey on high order numerical methods for convection dominated problems. Zbl 1380.65182
Shu, Chi-Wang
1
2017
Inverse Lax-Wendroff procedure for numerical boundary treatment of hyperbolic equations. Zbl 1366.65080
Shu, C.-W.; Tan, S.
1
2017
An efficient class of WENO schemes with adaptive order. Zbl 1422.65146
Balsara, Dinshaw S.; Garain, Sudip; Shu, Chi-Wang
81
2016
High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments. Zbl 1349.65486
Shu, Chi-Wang
53
2016
Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations. Zbl 1332.65148
Meng, Xiong; Shu, Chi-Wang; Wu, Boying
48
2016
Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics. Zbl 1349.83037
Qin, Tong; Shu, Chi-Wang; Yang, Yang
26
2016
Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems. Zbl 1351.65078
Wang, Haijin; Wang, Shiping; Zhang, Qiang; Shu, Chi-Wang
25
2016
Runge-Kutta discontinuous Galerkin method with a simple and compact Hermite WENO limiter. Zbl 1373.76113
Zhu, Jun; Zhong, Xinghui; Shu, Chi-Wang; Qiu, Jianxian
23
2016
Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for nonlinear convection-diffusion problems. Zbl 1410.65383
Wang, Haijin; Shu, Chi-Wang; Zhang, Qiang
21
2016
Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: from first-order to high-orders. II: The two-dimensional case. Zbl 1351.76128
Vilar, François; Shu, Chi-Wang; Maire, Pierre-Henri
20
2016
Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: from first-order to high-orders. I: The one-dimensional case. Zbl 1351.76127
Vilar, François; Shu, Chi-Wang; Maire, Pierre-Henri
17
2016
Inverse Lax-Wendroff procedure for numerical boundary conditions of convection-diffusion equations. Zbl 1349.65319
Lu, Jianfang; Fang, Jinwei; Tan, Sirui; Shu, Chi-Wang; Zhang, Mengping
14
2016
Analysis of the local discontinuous Galerkin method for the drift-diffusion model of semiconductor devices. Zbl 1342.65183
Liu, YunXian; Shu, Chi-Wang
11
2016
High order fixed-point sweeping WENO methods for steady state of hyperbolic conservation laws and its convergence study. Zbl 1388.65068
Wu, Liang; Zhang, Yong-Tao; Zhang, Shuhai; Shu, Chi-Wang
9
2016
Stability analysis of the inverse Lax-Wendroff boundary treatment for high order upwind-biased finite difference schemes. Zbl 1333.65101
Li, Tingting; Shu, Chi-Wang; Zhang, Mengping
9
2016
...and 281 more Documents
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Cited by 7,961 Authors

254 Shu, Chi-Wang
94 Dumbser, Michael
81 Qiu, Jianxian
51 Kurganov, Alexander
50 Cockburn, Bernardo
50 Xu, Yan
46 Osher, Stanley Joel
45 Adams, Nikolaus A.
43 Baccouch, Mahboub
43 Zhu, Jun
42 Qiu, Jingmei
42 Xu, Kun
41 Dawson, Clint N.
41 Liu, Hailiang
40 Cheng, Yingda
40 Li, Jichun
38 Toro, Eleuterio F.
37 Abgrall, Rémi
37 Xing, Yulong
37 Zhang, Mengping
36 Balsara, Dinshaw S.
36 Don, Wai Sun
36 Hesthaven, Jan S.
35 Liu, Tiegang
35 Xiao, Feng
34 Bürger, Raimund
34 Li, Fengyan
34 Mulet, Pep
33 Dehghan Takht Fooladi, Mehdi
32 Yang, Yang
31 Gassner, Gregor J.
30 Christlieb, Andrew J.
30 Yu, Xijun
29 Deng, Xiaogang
29 Fedkiw, Ronald P.
29 Gao, Zhen
29 Huang, Yunqing
29 Qian, Jianliang
29 Tang, Huazhong
28 Kuzmin, Dmitri
28 Munz, Claus-Dieter
27 Chertock, Alina E.
27 Ren, Yuxin
27 Xia, Yinhua
26 Castro, Manuel J.
26 Loubère, Raphaël
26 Ryan, Jennifer K.
26 Zhang, Yongtao
25 Amat, Sergio P.
25 Boscheri, Walter
25 Jameson, Antony
25 Zhang, Zhimin
24 Guermond, Jean-Luc
24 Luo, Hong
24 van der Vegt, Jaap J. W.
24 Zhang, Qiang
23 Drikakis, Dimitris
23 Gelb, Anne
23 Karniadakis, George Em
23 Popov, Boyan
22 Li, Gang
22 Parés Madroñal, Carlos
22 Seaïd, Mohammed
22 Wei, LeiLei
21 Carpenter, Mark H.
21 Guo, Wei
21 Xiong, Tao
20 Chandrashekar, Praveen
20 Kubatko, Ethan J.
19 Adjerid, Slimane
19 Carrillo de la Plata, José Antonio
19 Filbet, Francis
19 Martínez Gamba, Irene
19 Gottlieb, Sigal
19 Ketcheson, David I.
19 Mishra, Siddhartha
19 Ranocha, Hendrik
19 Ricchiuto, Mario
19 Yee, Helen C.
18 Cheng, Jian
18 Gibou, Frédéric
18 Kang, Myungjoo
18 Pareschi, Lorenzo
18 Sjogreen, Bjorn
18 Winters, Andrew R.
18 Zhang, Xiangxiong
17 Chen, Shiyi
17 Donat, Rosa
17 Ha, Youngsoo
17 Li, Jiequan
17 Lin, Guang
17 Nishikawa, Hiroaki
17 Nordström, Jan
17 Pullin, Dale I.
17 Schötzau, Dominik
17 Sheu, Tony Wen-Hann
17 Yan, Chao
16 Bassi, Francesco
16 Cheng, Juan
16 Jung, Jae-Hun
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140 Mathematics of Computation
131 Communications in Computational Physics
95 International Journal for Numerical Methods in Fluids
93 SIAM Journal on Numerical Analysis
61 Numerische Mathematik
61 Applied Mathematical Modelling
57 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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56 International Journal of Computational Fluid Dynamics
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15 AMM. Applied Mathematics and Mechanics. (English Edition)
14 Shock Waves
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14 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
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7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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