×

zbMATH — the first resource for mathematics

Shu, Chi-Wang

Compute Distance To:
Author ID: shu.chi-wang Recent zbMATH articles by "Shu, Chi-Wang"
Published as: Shu, C.; Shu, C.-W.; Shu, Chi-Wang; Shu, Chi-wang; Shu, Chiwang
Homepage: http://www.dam.brown.edu/people/shu/
External Links: MGP · Wikidata · ResearchGate · dblp · GND
Documents Indexed: 415 Publications since 1987, including 10 Books
Biographic References: 1 Publication
all top 5

Co-Authors

25 single-authored
38 Zhang, Mengping
18 Xu, Yan
18 Zhang, Qiang
16 Cockburn, Bernardo
16 Qiu, Jianxian
15 Cheng, Juan
13 Gottlieb, David I.
13 Zhang, Yongtao
12 Xing, Yulong
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 Zhu, Jun
8 Liu, Yingjie
8 Xia, Yinhua
7 E, Weinan
6 Gottlieb, Sigal
6 Jerome, Joseph W.
6 Li, Fengyan
6 Majorana, Armando
6 Osher, Stanley Joel
6 Tadmor, Eitan
5 Hu, Changqing
5 Huang, Juntao
5 Liu, Yunxian
5 Qiu, Jingmei
5 Sun, Zheng
5 Tan, Sirui
5 Xu, Zhiliang
5 Yee, Helen C.
4 Amat, Sergio P.
4 Chou, Ching-Shan
4 Du, Jie
4 Fu, Guosheng
4 Meng, Xiong
4 Ruiz, Juan P.
4 Sjogreen, Bjorn
4 Xiong, Tao
4 Xu, Zhengfu
3 Abgrall, Rémi
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 Hesthaven, Jan S.
3 Jiang, Shufen
3 Jiang, Yan
3 Karniadakis, George Em
3 Ling, Dan
3 Noelle, Sebastian
3 Ryan, Jennifer K.
3 Shi, Cengke
3 Vilar, François
3 Wu, Boying
3 Wu, Kailiang
3 Yan, Jue
3 Yang, Yang
3 Zhang, Hanxin
3 Zhang, Zhimin
3 Zhong, Xinghui
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 Cheng, Shiu-Yuen
2 Dumbser, Michael
2 Erlebacher, Gordon
2 Fang, Jinwei
2 Jiang, Guangshan
2 Ketcheson, David I.
2 Kotov, Dmitry V.
2 Lam, William H. K.
2 Lepsky, Olga
2 Levy, Doron
2 Li, Jichun
2 Li, Tingting
2 Li, Yunzhang
2 Liu, Jianguo
2 Liu, Wei
2 Liu, Xuliang
2 Liu, Yuan
2 Liu, Yuanyuan
2 Lu, Jianfang
2 Luskin, Mitchell
2 Maire, Pierre-Henri
2 Ning, Jianguo
2 Qin, Tong
2 Sapiro, Guillermo
...and 155 more Co-Authors
all top 5

Serials

96 Journal of Computational Physics
42 Journal of Scientific Computing
28 SIAM Journal on Numerical Analysis
23 SIAM Journal on Scientific Computing
16 Communications in Computational Physics
14 Mathematics of Computation
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Computer Methods in Applied Mechanics and Engineering
8 Computers and Fluids
8 Journal of Computational and Applied Mathematics
7 Numerische Mathematik
7 Journal of Computational Mathematics
7 Applied Numerical Mathematics
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
4 International Journal of Numerical Analysis and Modeling
3 SIAM Review
3 Multiscale Modeling & Simulation
3 Communications on Applied Mathematics and Computation
2 Computers & Mathematics with Applications
2 IMA Journal of Numerical Analysis
2 Journal of Fluid Mechanics
2 Transport Theory and Statistical Physics
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 Handbook of Numerical Analysis
2 Kinetic and Related Models
1 AIAA Journal
1 International Journal for Numerical Methods in Fluids
1 Nonlinearity
1 Physics of Fluids, A
1 Applied Mathematics and Computation
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 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 Contemporary Mathematics
1 Lecture Notes in Mathematics
1 Lecture Notes in Computational Science and Engineering
1 Acta Mechanica Sinica
1 Inverse Problems and Imaging
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 Annals of Mathematical Sciences and Applications
1 Advanced Courses in Mathematics – CRM Barcelona

Publications by Year

Citations contained in zbMATH

352 Publications have been cited 18,812 times in 6,146 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
Efficient implementation of essentially nonoscillatory shock-capturing schemes. II. Zbl 0674.65061
Shu, Chi-Wang; Osher, Stanley
760
1989
The local discontinuous Galerkin method for time-dependent convection-diffusion systems. Zbl 0927.65118
Cockburn, Bernardo; Shu, Chi-Wang
756
1998
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II: General framework. Zbl 0662.65083
Cockburn, Bernardo; Shu, Chi-Wang
679
1989
The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems. Zbl 0920.65059
Cockburn, Bernardo; Shu, Chi-Wang
649
1998
Strong stability-preserving high-order time discretization methods. Zbl 0967.65098
Gottlieb, Sigal; Shu, Chi-Wang; Tadmor, Eitan
603
2001
Runge–Kutta discontinuous Galerkin methods for convection-dominated problems. Zbl 1065.76135
Cockburn, Bernardo; Shu, Chi-Wang
580
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
483
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
477
1990
Total variation diminishing Runge-Kutta schemes. Zbl 0897.65058
Gottlieb, Sigal; Shu, Chi-Wang
443
1998
Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. Zbl 0927.65111
Shu, Chi-Wang
389
1998
Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. Zbl 0961.65078
Balsara, Dinshaw S.; Shu, Chi-Wang
340
2000
Total-variation-diminishing time discretizations. Zbl 0662.65081
Shu, Chiwang
303
1988
The development of discontinuous Galerkin methods. Zbl 0989.76045
Cockburn, Bernardo; Karniadakis, George E.; Shu, Chi-Wang
280
2000
Weighted essentially non-oscillatory schemes on triangular meshes. Zbl 0926.65090
Hu, Changqing; Shu, Chi-Wang
259
1999
High order weighted essentially nonoscillatory schemes for convection dominated problems. Zbl 1160.65330
Shu, Chi-Wang
251
2009
High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations. Zbl 0736.65066
Osher, Stanley; Shu, Chi-Wang
229
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
193
1991
On the Gibbs phenomenon and its resolution. Zbl 0885.42003
Gottlieb, David; Shu, Chi-Wang
191
1997
On maximum-principle-satisfying high order schemes for scalar conservation laws. Zbl 1187.65096
Zhang, Xiangxiong; Shu, Chi-Wang
173
2010
On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. Zbl 1282.76128
Zhang, Xiangxiong; Shu, Chi-Wang
168
2010
A technique of treating negative weights in WENO schemes. Zbl 0992.65094
Shi, Jing; Hu, Changqing; Shu, Chi-Wang
146
2002
A local discontinuous Galerkin method for KdV type equations. Zbl 1021.65050
Yan, Jue; Shu, Chi-Wang
142
2002
Runge-Kutta discontinuous Galerkin method using WENO limiters. Zbl 1077.65109
Qiu, Jianxian; Shu, Chi-Wang
132
2005
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
129
2004
TVB uniformly high-order schemes for conservation laws. Zbl 0628.65075
Shu, Chiwang
125
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
113
2005
Strong stability preserving Runge-Kutta and multistep time discretizations. Zbl 1241.65064
Gottlieb, Sigal; Ketcheson, David; Shu, Chi-Wang
112
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
102
2011
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
98
2005
High order strong stability preserving time discretizations. Zbl 1203.65135
Gottlieb, Sigal; Ketcheson, David I.; Shu, Chi-Wang
97
2009
Locally divergence-free discontinuous Galerkin methods for the Maxwell equations. Zbl 1049.78019
Cockburn, Bernardo; Li, Fengyan; Shu, Chi-Wang
97
2004
Local discontinuous Galerkin methods for high-order time-dependent partial differential equations. Zbl 1364.65205
Xu, Yan; Shu, Chi-Wang
95
2010
On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes. Zbl 1018.65106
Qiu, Jianxian; Shu, Chi-Wang
94
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
88
2007
Local discontinuous Galerkin methods for nonlinear Schrödinger equations. Zbl 1072.65130
Xu, Yan; Shu, Chi-Wang
86
2005
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
82
2006
Error estimates to smooth solutions of Runge-Kutta discontinuous Galerkin methods for scalar conservation laws. Zbl 1078.65080
Zhang, Qiang; Shu, Chi-Wang
81
2004
High-order finite difference and finite volume WENO schemes and discontinuous Galerkin methods for CFD. Zbl 1034.76044
Shu, Chi-Wang
81
2003
Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes. Zbl 1157.65453
Zhu, Jun; Qiu, Jianxian; Shu, Chi-Wang; Dumbser, Michael
80
2008
Resolution of high order WENO schemes for complicated flow structures. Zbl 1047.76081
Shi, Jing; Zhang, Yong-Tao; Shu, Chi-Wang
80
2003
A discontinuous Galerkin finite element method for Hamilton-Jacobi equations. Zbl 0946.65090
Hu, Changqing; Shu, Chi-Wang
78
1999
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
74
2012
Discontinuous Galerkin methods. Theory, computation and applications. 1st international symposium on DGM, Newport, RI, USA, May 24–26, 1999. Zbl 0935.00043
Cockburn, Bernardo (ed.); Karniadakis, George E. (ed.); Shu, Chi-Wang (ed.)
74
2000
High-order WENO schemes for Hamilton-Jacobi equations on triangular meshes. Zbl 1034.65051
Zhang, Yong-Tao; Shu, Chi-Wang
72
2003
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
71
2005
Local discontinuous Galerkin methods for partial differential equations with higher order derivatives. Zbl 1003.65115
Yan, Jue; Shu, Chi-Wang
70
2002
On a cell entropy inequality for discontinuous Galerkin methods. Zbl 0801.65098
Jiang, Guangshan; Shu, Chi-Wang
70
1994
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
70
1992
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
69
2010
Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms. Zbl 1391.76375
Zhang, Xiangxiong; Shu, Chi-Wang
67
2011
A high-order ENO conservative Lagrangian type scheme for the compressible Euler equations. Zbl 1126.76035
Cheng, Juan; Shu, Chi-Wang
66
2007
Third order WENO scheme on three dimensional tetrahedral meshes. Zbl 1364.65177
Zhang, Yong-Tao; Shu, Chi-Wang
64
2009
A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives. Zbl 1141.65075
Cheng, Yingda; Shu, Chi-Wang
63
2008
Local discontinuous Galerkin methods for the Cahn-Hilliard type equations. Zbl 1131.65088
Xia, Yinhua; Xu, Yan; Shu, Chi-Wang
63
2007
Local discontinuous Galerkin methods for nonlinear dispersive equations. Zbl 1055.65109
Levy, Doron; Shu, Chi-Wang; Yan, Jue
62
2004
Enhanced accuracy by post-processing for finite element methods for hyperbolic equations. Zbl 1015.65049
Cockburn, Bernardo; Luskin, Mitchell; Shu, Chi-Wang; Süli, Endre
62
2003
On positivity preserving finite volume schemes for Euler equations. Zbl 0857.76062
Perthame, Benoit; Shu, Chi-Wang
61
1996
Small-scale structures in Boussinesq convection. Zbl 0822.76087
E, Weinan; Shu, Chi-Wang
61
1994
Numerical experiments on the accuracy of ENO and modified ENO schemes. Zbl 0732.65085
Shu, Chi-Wang
61
1990
A local discontinuous Galerkin method for the Camassa-Holm equation. Zbl 1173.65063
Xu, Yan; Shu, Chi-Wang
60
2008
High order ENO and WENO schemes for computational fluid dynamics. Zbl 0937.76044
Shu, Chi-Wang
59
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
58
2007
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
56
2013
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
56
2010
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
56
2006
Positivity-preserving high order finite difference WENO schemes for compressible Euler equations. Zbl 1426.76493
Zhang, Xiangxiong; Shu, Chi-Wang
55
2012
Locally divergence-free discontinuous Galerkin methods for MHD equations. Zbl 1123.76341
Li, Fengyan; Shu, Chi-Wang
52
2005
The discontinuous Galerkin method with Lax–Wendroff type time discretizations. Zbl 1093.76038
Qiu, Jianxian; Dumbser, Michael; Shu, Chi-Wang
50
2005
Finite difference WENO schemes with Lax-Wendroff-type time discretizations. Zbl 1034.65073
Qiu, Jianxian; Shu, Chi-Wang
50
2003
Nonlinearly stable compact schemes for shock calculations. Zbl 0805.65085
Cockburn, Bernardo; Shu, Chi-Wang
50
1994
An efficient class of WENO schemes with adaptive order. Zbl 1422.65146
Balsara, Dinshaw S.; Garain, Sudip; Shu, Chi-Wang
48
2016
Anti-diffusive flux corrections for high order finite difference WENO schemes. Zbl 1087.76080
Xu, Zhengfu; Shu, Chi-Wang
48
2005
Analysis of optimal superconvergence of discontinuous Galerkin method for linear hyperbolic equations. Zbl 1276.65055
Yang, Yang; Shu, Chi-Wang
47
2012
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
47
2011
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
47
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
45
2013
Development of nonlinear weighted compact schemes with increasingly higher order accuracy. Zbl 1152.65094
Zhang, Shuhai; Jiang, Shufen; Shu, Chi-Wang
45
2008
A high-order discontinuous Galerkin method for 2D incompressible flows. Zbl 0963.76069
Liu, Jian-Guo; Shu, Chi-Wang
45
2000
Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws. Zbl 1198.65174
Tan, Sirui; Shu, Chi-Wang
44
2010
Local discontinuous Galerkin methods for the Kuramoto-Sivashinsky equations and the Ito-type coupled KdV equations. Zbl 1124.76035
Xu, Yan; Shu, Chi-Wang
44
2006
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
42
2015
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
42
2009
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
42
2003
Optimal error estimates of the semidiscrete local discontinuous Galerkin methods for high order wave equations. Zbl 1247.65121
Xu, Yan; Shu, Chi-Wang
41
2012
An analysis of and a comparison between the discontinuous Galerkin and the spectral finite volume methods. Zbl 1138.76391
Zhang, Mengping; Shu, Chi-Wang
41
2005
An analysis of three different formulations of the discontinuous Galerkin method for diffusion equations. Zbl 1050.65094
Zhang, Mengping; Shu, Chi-Wang
41
2003
\(L^{2}\) 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
40
2008
A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations. Zbl 1124.65090
Cheng, Yingda; Shu, Chi-Wang
39
2007
Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations. Zbl 1243.80011
Wang, Cheng; Zhang, Xiangxiong; Shu, Chi-Wang; Ning, Jianguo
38
2012
Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow. Zbl 1391.76489
Qiu, Jing-Mei; Shu, Chi-Wang
37
2011
Analysis of a local discontinuous Galerkin method for linear time-dependent fourth-order problems. Zbl 1204.65123
Dong, Bo; Shu, Chi-Wang
37
2009
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
37
2006
Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equations. Zbl 1078.35111
Xu, Yan; Shu, Chi-Wang
37
2005
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
36
2013
A survey of high order schemes for the shallow water equations. Zbl 1324.76035
Xing, Yulong; Shu, Chi-Wang
33
2014
Superconvergence of discontinuous Galerkin methods for scalar nonlinear conservation laws in one space dimension. Zbl 1267.65115
Meng, Xiong; Shu, Chi-Wang; Zhang, Qiang; Wu, Boying
33
2012
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
33
2011
Efficient time discretization for local discontinuous Galerkin methods. Zbl 1141.65076
Xia, Yinhua; Xu, Yan; Shu, Chi-Wang
33
2007
An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives. Zbl 1446.65118
Tao, Qi; Xu, Yan; Shu, Chi-Wang
1
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
1
2020
A discontinuous Galerkin method for stochastic conservation laws. Zbl 07149719
Li, Yunzhang; Shu, Chi-Wang; Tang, Shanjian
1
2020
Strong stability of explicit Runge-Kutta time discretizations. Zbl 1422.65224
Sun, Zheng; Shu, Chi-Wang
6
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
3
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
3
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
3
2019
Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes. Zbl 1419.76446
Wu, Kailiang; Shu, Chi-Wang
3
2019
Positivity-preserving time discretizations for production-destruction equations with applications to non-equilibrium flows. Zbl 1420.35190
Huang, Juntao; Shu, Chi-Wang
3
2019
An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg-de Vries equation. Zbl 1407.65187
Fu, Guosheng; Shu, Chi-Wang
3
2019
On new strategies to control the accuracy of WENO algorithms close to discontinuities. Zbl 1436.65095
Amat, Sergio; Ruiz, Juan; Shu, Chi-Wang
2
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
2
2019
Superconvergence of energy-conserving discontinuous Galerkin methods for linear hyperbolic equations. Zbl 1449.65250
Liu, Yong; Shu, Chi-Wang; Zhang, Mengping
1
2019
Numerical solutions of stochastic PDEs driven by arbitrary type of noise. Zbl 07114866
Chen, Tianheng; Rozovskii, Boris; Shu, Chi-Wang
1
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
1
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
1
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
1
2019
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
12
2018
Superconvergence of discontinuous Galerkin method for scalar nonlinear hyperbolic equations. Zbl 1450.65116
Cao, Waixiang; Shu, Chi-Wang; Yang, Yang; Zhang, Zhimin
10
2018
A new type of multi-resolution WENO schemes with increasingly higher order of accuracy. Zbl 1416.65286
Zhu, Jun; Shu, Chi-Wang
7
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
7
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
6
2018
A provably positive discontinuous Galerkin method for multidimensional ideal magnetohydrodynamics. Zbl 1404.65184
Wu, Kailiang; Shu, Chi-Wang
5
2018
On local conservation of numerical methods for conservation laws. Zbl 1410.65327
Shi, Cengke; Shu, Chi-Wang
5
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
4
2018
Discontinuous Galerkin methods for Maxwell’s equations in Drude metamaterials on unstructured meshes. Zbl 06887280
Shi, Cengke; Li, Jichun; Shu, Chi-Wang
4
2018
Implicit positivity-preserving high-order discontinuous Galerkin methods for conservation laws. Zbl 1380.65285
Qin, Tong; Shu, Chi-Wang
4
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
3
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
2
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
1
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
31
2017
Local discontinuous Galerkin method for the Keller-Segel chemotaxis model. Zbl 1384.92015
Li, Xingjie Helen; Shu, Chi-Wang; Yang, Yang
17
2017
Optimal non-dissipative discontinuous Galerkin methods for Maxwell’s equations in Drude metamaterials. Zbl 1370.74143
Li, Jichun; Shi, Cengke; Shu, Chi-Wang
17
2017
H(div) conforming and DG methods for incompressible Euler’s equations. Zbl 1433.76085
Guzmán, Johnny; Shu, Chi-Wang; Sequeira, Filánder A.
11
2017
Stability of the fourth order Runge-Kutta method for time-dependent partial differential equations. Zbl 1381.65079
Sun, Zheng; Shu, Chi-Wang
10
2017
A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 1380.65262
Fu, Guosheng; Shu, Chi-Wang
8
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
7
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
7
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
6
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
6
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
5
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
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
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
3
2017
Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations. Zbl 1415.65204
Zheng, Feng; Shu, Chi-Wang; Qiu, Jianxian
2
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
2
2017
A simple bound-preserving sweeping technique for conservative numerical approximations. Zbl 1381.65087
Liu, Yuan; Cheng, Yingda; 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
Stability analysis and error estimates of Lax-Wendroff discontinuous Galerkin methods for linear conservation laws. Zbl 1373.65063
Sun, Zheng; Shu, Chi-Wang
2
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
2
2017
Handbook on numerical methods for hyperbolic problems. Applied and modern issues. Zbl 1364.65001
Abgrall, Rémi (ed.); Shu, Chi-Wang (ed.)
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
1
2017
An efficient class of WENO schemes with adaptive order. Zbl 1422.65146
Balsara, Dinshaw S.; Garain, Sudip; Shu, Chi-Wang
48
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
32
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
32
2016
Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics. Zbl 1349.83037
Qin, Tong; Shu, Chi-Wang; Yang, Yang
17
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
17
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
14
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
14
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
12
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
10
2016
A boundary condition-enforced immersed boundary method for compressible viscous flows. Zbl 1390.76504
Qiu, Y. L.; Shu, C.; Wu, J.; Sun, Y.; Yang, L. M.; Guo, T. Q.
9
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
9
2016
Analysis of the local discontinuous Galerkin method for the drift-diffusion model of semiconductor devices. Zbl 1342.65183
Liu, YunXian; 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
6
2016
Handbook of numerical methods for hyperbolic problems. Basic and fundamental issues. Zbl 1352.65001
Abgrall, Remi (ed.); Shu, Chi-Wang (ed.)
5
2016
A new multiscale discontinuous Galerkin method for the one-dimensional stationary Schrödinger equation. Zbl 1342.65169
Dong, Bo; Shu, Chi-Wang; Wang, Wei
4
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
3
2016
Convergence of discontinuous Galerkin schemes for front propagation with obstacles. Zbl 1353.65104
Bokanowski, Olivier; Cheng, Yingda; Shu, Chi-Wang
3
2016
Three-dimensional ghost-fluid large-scale numerical investigation on air explosion. Zbl 1390.76635
Wang, Cheng; Ding, JianXu; Shu, Chi-Wang; Li, Tao
2
2016
Discontinuous Galerkin methods for time-dependent convection dominated problems: basics, recent developments and comparison with other methods. Zbl 1357.65179
Shu, Chi-Wang
2
2016
High order positivity-preserving discontinuous Galerkin methods for radiative transfer equations. Zbl 1351.65105
Yuan, Daming; Cheng, Juan; Shu, Chi-Wang
2
2016
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
42
2015
An SPH model for multiphase flows with complex interfaces and large density differences. Zbl 1351.76231
Chen, Z.; Zong, Z.; Liu, M. B.; Zou, L.; Li, H. T.; Shu, C.
31
2015
Superconvergence of discontinuous Galerkin methods for two-dimensional hyperbolic equations. Zbl 1328.65195
Cao, Waixiang; Shu, Chi-Wang; Yang, Yang; Zhang, Zhimin
27
2015
A new class of central compact schemes with spectral-like resolution. II: Hybrid weighted nonlinear schemes. Zbl 1351.76170
Liu, Xuliang; Zhang, Shuhai; Zhang, Hanxin; Shu, Chi-Wang
15
2015
Development and stability analysis of the inverse Lax-Wendroff boundary treatment for central compact schemes. Zbl 1311.65116
Vilar, François; Shu, Chi-Wang
9
2015
A priori error estimates to smooth solutions of the third order Runge-Kutta discontinuous Galerkin method for symmetrizable systems of conservation laws. Zbl 1327.65193
Luo, Juan; Shu, Chi-Wang; Zhang, Qiang
8
2015
Parallel adaptive mesh refinement method based on WENO finite difference scheme for the simulation of multi-dimensional detonation. Zbl 1349.76159
Wang, Cheng; Dong, XinZhuang; Shu, Chi-Wang
7
2015
A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework. Zbl 1320.65114
Du, Jie; Shu, Chi-Wang; Zhang, Mengping
7
2015
High order finite difference methods with subcell resolution for stiff multispecies discontinuity capturing. Zbl 1373.76197
Wang, Wei; Shu, Chi-Wang; Yee, H. C.; Kotov, Dmitry V.; Sjögreen, Björn
6
2015
A three-dimensional explicit sphere function-based gas-kinetic flux solver for simulation of inviscid compressible flows. Zbl 1349.76751
Yang, L. M.; Shu, C.; Wu, J.
6
2015
A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework on unstructured meshes. Zbl 1326.65130
Du, Jie; Shu, Chi-Wang; Zhang, Mengping
6
2015
Recovering exponential accuracy in Fourier spectral methods involving piecewise smooth functions with unbounded derivative singularities. Zbl 1331.65145
Chen, Zheng; Shu, Chi-Wang
2
2015
Numerical solution of the viscous surface wave with discontinuous Galerkin method. Zbl 1321.35143
Wu, Lei; Shu, Chi-Wang
1
2015
High-order finite difference WENO schemes with positivity-preserving limiter for correlated random walk with density-dependent turning rates. Zbl 1318.65051
Jiang, Yan; Shu, Chi-Wang; Zhang, Mengping
1
2015
A survey of high order schemes for the shallow water equations. Zbl 1324.76035
Xing, Yulong; Shu, Chi-Wang
33
2014
Positivity-preserving Lagrangian scheme for multi-material compressible flow. Zbl 1349.76439
Cheng, Juan; Shu, Chi-Wang
30
2014
Discontinuous Galerkin method for time-dependent problems: survey and recent developments. Zbl 1282.65122
Shu, Chi-Wang
27
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
23
2014
Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data. Zbl 1293.65122
Zhang, Qiang; Shu, Chi-Wang
16
2014
Free-stream preserving finite difference schemes on curvilinear meshes. Zbl 1292.65091
Jiang, Yan; Shu, Chi-Wang; Zhang, Mengping
15
2014
A simple distribution function-based gas-kinetic scheme for simulation of viscous incompressible and compressible flows. Zbl 1351.76257
Yang, L. M.; Shu, C.; Wu, J.
12
2014
Second order symmetry-preserving conservative Lagrangian scheme for compressible Euler equations in two-dimensional cylindrical coordinates. Zbl 1349.65367
Cheng, Juan; Shu, Chi-Wang
11
2014
A discontinuous Galerkin scheme for front propagation with obstacles. Zbl 1291.65182
Bokanowski, Olivier; Cheng, Yingda; Shu, Chi-Wang
7
2014
Multi-scale discontinuous Galerkin method for solving elliptic problems with curvilinear unidirectional rough coefficients. Zbl 1307.65171
Zhang, Yifan; Wang, Wei; Guzmán, Johnny; Shu, Chi-Wang
5
2014
Recovering exponential accuracy from collocation point values of smooth functions with end-point singularities. Zbl 1311.65013
Chen, Zheng; Shu, Chi-Wang
3
2014
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
56
2013
Positivity-preserving method for high-order conservative schemes solving compressible Euler equations. Zbl 1311.76088
Hu, Xiangyu Y.; Adams, Nikolaus A.; Shu, Chi-Wang
45
2013
...and 252 more Documents
all top 5

Cited by 7,722 Authors

226 Shu, Chi-Wang
82 Dumbser, Michael
63 Qiu, Jianxian
46 Cockburn, Bernardo
46 Osher, Stanley Joel
43 Kurganov, Alexander
40 Adams, Nikolaus A.
39 Baccouch, Mahboub
38 Dawson, Clint N.
38 Xu, Yan
37 Li, Jichun
36 Toro, Eleuterio F.
35 Balsara, Dinshaw S.
35 Qiu, Jingmei
33 Don, Wai Sun
33 Liu, Hailiang
32 Cheng, Yingda
32 Mulet, Pep
32 Zhang, Mengping
31 Abgrall, Rémi
31 Dehghan Takht Fooladi, Mehdi
31 Hesthaven, Jan S.
30 Li, Fengyan
30 Xiao, Feng
29 Qian, Jianliang
29 Xing, Yulong
29 Xu, Kun
28 Bürger, Raimund
28 Fedkiw, Ronald P.
28 Zhu, Jun
27 Christlieb, Andrew J.
26 Gassner, Gregor J.
26 Munz, Claus-Dieter
26 Yu, Xijun
24 Jameson, Antony
24 Loubère, Raphaël
23 Chertock, Alina E.
23 Drikakis, Dimitris
23 Guermond, Jean-Luc
23 Karniadakis, George Em
23 Ren, Yuxin
23 van der Vegt, Jaap J. W.
22 Amat, Sergio P.
22 Gelb, Anne
22 Luo, Hong
22 Popov, Boyan
22 Ryan, Jennifer K.
22 Tang, Huazhong
22 Zhang, Yongtao
22 Zhang, Zhimin
21 Carpenter, Mark H.
21 Castro, Manuel J.
21 Gao, Zhen
21 Huang, Yunqing
21 Kuzmin, Dmitri
20 Adjerid, Slimane
20 Liu, Tiegang
20 Xia, Yinhua
20 Zhang, Qiang
19 Boscheri, Walter
19 Martínez Gamba, Irene
19 Gottlieb, Sigal
19 Seaïd, Mohammed
19 Xiong, Tao
18 Mishra, Siddhartha
18 Yee, Helen C.
17 Bassi, Francesco
17 Carrillo de la Plata, José Antonio
17 Deng, Xiaogang
17 Filbet, Francis
17 Gibou, Frédéric
17 Guo, Wei
17 Ketcheson, David I.
17 Kubatko, Ethan J.
17 Li, Gang
17 Pullin, Dale I.
17 Ricchiuto, Mario
17 Russo, Giovanni
17 Schötzau, Dominik
17 Sjogreen, Bjorn
17 Wei, LeiLei
17 Zhang, Xiangxiong
16 Donat, Rosa
16 Jung, Jae-Hun
16 Kang, Myungjoo
16 Parés Madroñal, Carlos
16 Tadmor, Eitan
16 Westerink, Joannes J.
15 Capdeville, Guy
15 Chandrashekar, Praveen
15 Ha, Youngsoo
15 Hu, Xiangyu Y.
15 Kesserwani, Georges
15 Kirby, Robert M. II
15 Leung, Shingyu
15 Nogueira, Xesús
15 Nordström, Jan
15 Pareschi, Lorenzo
15 Pirozzoli, Sergio
15 Shen, Yiqing
...and 7,622 more Authors
all top 5

Cited in 286 Serials

1,722 Journal of Computational Physics
680 Journal of Scientific Computing
496 Computers and Fluids
216 Computer Methods in Applied Mechanics and Engineering
199 Applied Numerical Mathematics
198 Journal of Computational and Applied Mathematics
166 Computers & Mathematics with Applications
165 Applied Mathematics and Computation
133 Mathematics of Computation
124 Journal of Fluid Mechanics
120 SIAM Journal on Scientific Computing
96 International Journal for Numerical Methods in Fluids
85 SIAM Journal on Numerical Analysis
68 Applied Mathematical Modelling
55 Numerical Methods for Partial Differential Equations
54 Numerische Mathematik
43 International Journal for Numerical Methods in Engineering
40 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
38 Numerical Algorithms
38 Physics of Fluids
31 Engineering Analysis with Boundary Elements
29 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
29 International Journal of Computer Mathematics
29 Advances in Computational Mathematics
27 International Journal of Computational Methods
26 Computational Geosciences
25 Applied Mathematics and Mechanics. (English Edition)
24 Mathematics and Computers in Simulation
21 Computer Physics Communications
21 BIT
19 Computational Mechanics
19 Acta Mechanica Sinica
18 Journal of Mathematical Analysis and Applications
18 Physica D
18 Applied Mathematics Letters
18 Computational Mathematics and Mathematical Physics
18 Mathematical Problems in Engineering
18 International Journal of Computational Fluid Dynamics
16 Journal of Differential Equations
16 Mathematical and Computer Modelling
16 Communications in Nonlinear Science and Numerical Simulation
16 Multiscale Modeling & Simulation
14 Shock Waves
14 Communications in Numerical Methods in Engineering
14 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
14 Science China. Mathematics
13 Mathematical Methods in the Applied Sciences
13 European Journal of Mechanics. B. Fluids
13 Matematicheskoe Modelirovanie
13 AMM. Applied Mathematics and Mechanics. (English Edition)
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Applied and Computational Harmonic Analysis
11 Computational and Applied Mathematics
11 Combustion Theory and Modelling
11 Archives of Computational Methods in Engineering
10 Wave Motion
10 Kinetic and Related Models
10 S\(\vec{\text{e}}\)MA Journal
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 COMPEL
9 International Journal of Numerical Methods for Heat & Fluid Flow
9 Flow, Turbulence and Combustion
9 International Journal of Modern Physics C
9 Discrete and Continuous Dynamical Systems. Series B
9 Journal of Numerical Mathematics
9 Journal of Hyperbolic Differential Equations
9 International Journal for Numerical Methods in Biomedical Engineering
8 Archive for Rational Mechanics and Analysis
8 Journal of Engineering Mathematics
8 Journal of Mathematical Physics
8 Acta Mathematicae Applicatae Sinica. English Series
8 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
8 Abstract and Applied Analysis
8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
8 Communications on Applied Mathematics and Computation
7 Communications in Mathematical Physics
7 Journal of Mathematical Biology
7 Transport Theory and Statistical Physics
7 Bulletin of Mathematical Biology
7 Calcolo
7 Numerical Functional Analysis and Optimization
7 SIAM Journal on Applied Mathematics
7 Computing and Visualization in Science
7 Foundations of Computational Mathematics
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Bulletin of the Brazilian Mathematical Society. New Series
7 Advances in Difference Equations
7 Communications in Applied and Industrial Mathematics
7 Journal of Theoretical Biology
7 SMAI Journal of Computational Mathematics
6 Applicable Analysis
6 Meccanica
6 Discrete and Continuous Dynamical Systems
6 Doklady Mathematics
6 Nonlinear Analysis. Real World Applications
6 Communications in Applied Mathematics and Computational Science
6 Networks and Heterogeneous Media
5 Theoretical and Computational Fluid Dynamics
5 Studies in Applied Mathematics
5 RAIRO. Modélisation Mathématique et Analyse Numérique
...and 186 more Serials
all top 5

Cited in 46 Fields

4,225 Numerical analysis (65-XX)
3,291 Fluid mechanics (76-XX)
2,277 Partial differential equations (35-XX)
281 Mechanics of deformable solids (74-XX)
263 Statistical mechanics, structure of matter (82-XX)
200 Optics, electromagnetic theory (78-XX)
179 Biology and other natural sciences (92-XX)
158 Geophysics (86-XX)
147 Classical thermodynamics, heat transfer (80-XX)
107 Calculus of variations and optimal control; optimization (49-XX)
95 Ordinary differential equations (34-XX)
80 Harmonic analysis on Euclidean spaces (42-XX)
72 Approximations and expansions (41-XX)
60 Operations research, mathematical programming (90-XX)
55 Computer science (68-XX)
54 Dynamical systems and ergodic theory (37-XX)
38 Probability theory and stochastic processes (60-XX)
36 Integral equations (45-XX)
36 Astronomy and astrophysics (85-XX)
35 Information and communication theory, circuits (94-XX)
26 Systems theory; control (93-XX)
25 Quantum theory (81-XX)
24 Real functions (26-XX)
21 Special functions (33-XX)
21 Mechanics of particles and systems (70-XX)
21 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
16 Relativity and gravitational theory (83-XX)
12 Statistics (62-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
9 Functional analysis (46-XX)
9 Differential geometry (53-XX)
8 Operator theory (47-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 General and overarching topics; collections (00-XX)
4 History and biography (01-XX)
4 Difference and functional equations (39-XX)
3 Combinatorics (05-XX)
3 Functions of a complex variable (30-XX)
3 Potential theory (31-XX)
3 Integral transforms, operational calculus (44-XX)
2 Algebraic geometry (14-XX)
2 Mathematics education (97-XX)
1 Number theory (11-XX)
1 Topological groups, Lie groups (22-XX)
1 Geometry (51-XX)
1

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.