## Shu, Chi-Wang

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 Author ID: shu.chi-wang Published as: Shu, Chi-Wang; Shu, Chiwang; Shu, C.-W.; Shu, C.; Shu, Chi-wang more...less 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: 439 Publications since 1987, including 3 Books 24 Contributions as Editor Biographic References: 1 Publication Co-Authors: 262 Co-Authors with 430 Joint Publications 9,996 Co-Co-Authors
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### Co-Authors

 28 single-authored 44 Zhang, Mengping 24 Cheng, Juan 22 Qiu, Jianxian 20 Xu, Yan 20 Zhang, Qiang 16 Cockburn, Bernardo 14 Gottlieb, David I. 13 Xing, Yulong 13 Zhang, Yongtao 13 Zhu, Jun 12 Zhang, Shuhai 11 Carrillo de la Plata, José Antonio 11 Cheng, Yingda 11 Martínez Gamba, Irene 11 Liu, Yong 11 Zhang, Xiangxiong 10 Wang, Wei 9 Wang, Haijin 9 Xia, Yinhua 9 Yang, Yang 8 Liu, Yingjie 7 Amat, Sergio P. 7 E, Weinan 7 Lu, Jianfang 7 Osher, Stanley Joel 6 Cheng, Shiu-Yuen 6 Gottlieb, Sigal 6 Jerome, Joseph W. 6 Li, Fengyan 6 Majorana, Armando 6 Sun, Zheng 6 Tadmor, Eitan 6 Tan, Sirui 6 Wong, Sze Chun 6 Zhong, Xinghui 5 Du, Jie 5 Hu, Changqing 5 Huang, Juntao 5 Jiang, Yan 5 Kang, Ming-Chang 5 Liu, Kefeng 5 Liu, Yunxian 5 Meng, Xiong 5 Qiu, Jingmei 5 Ryan, Jennifer K. 5 Xu, Zhiliang 5 Yang, Lo 5 Yau, Shing-Tung 5 Yee, Helen C. 4 Abgrall, Rémi 4 Chou, Ching-Shan 4 Fu, Guosheng 4 Hesthaven, Jan S. 4 Lei, Nuo 4 Li, Jichun 4 Ling, Dan 4 Sjogreen, Bjorn 4 Wang, Cheng 4 Wu, Kailiang 4 Xiong, Tao 4 Xu, Zhengfu 4 Zhang, Zhimin 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 Karniadakis, George Em 3 Li, Tingting 3 Li, Yue 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 Yáñez, Dionisio F. 3 Zhang, Hanxin 3 Zhang, Peng 3 Zheng, Feng 3 Zhou, Tie 2 Araki, Luciano Kiyoshi 2 Atkins, Harold L. 2 Balsara, Dinshaw S. 2 Carpenter, Mark H. 2 Cercignani, Carlo 2 Chen, Yanlai 2 Chen, Zheng 2 da Silva, Nicholas Dicati P. 2 Dumbser, Michael 2 Erlebacher, Gordon 2 Fan, Haitao 2 Fang, Jinwei ...and 163 more Co-Authors
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### Serials

 113 Journal of Computational Physics 43 Journal of Scientific Computing 30 SIAM Journal on Numerical Analysis 24 SIAM Journal on Scientific Computing 22 Communications in Computational Physics 16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 14 Mathematics of Computation 12 Computer Methods in Applied Mechanics and Engineering 10 Journal of Computational and Applied Mathematics 9 Computers and Fluids 9 Applied Numerical Mathematics 8 Numerische Mathematik 8 Journal of Computational Mathematics 8 Communications on Applied Mathematics and Computation 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 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 Computational and Applied Mathematics 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 Advances in Applied Mathematics and Mechanics 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
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### Fields

 380 Numerical analysis (65-XX) 244 Partial differential equations (35-XX) 166 Fluid mechanics (76-XX) 28 Statistical mechanics, structure of matter (82-XX) 18 General and overarching topics; collections (00-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Mechanics of deformable solids (74-XX) 9 Biology and other natural sciences (92-XX) 8 History and biography (01-XX) 8 Probability theory and stochastic processes (60-XX) 8 Optics, electromagnetic theory (78-XX) 8 Operations research, mathematical programming (90-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Special functions (33-XX) 5 Ordinary differential equations (34-XX) 5 Approximations and expansions (41-XX) 4 Group theory and generalizations (20-XX) 4 Differential geometry (53-XX) 4 Computer science (68-XX) 4 Astronomy and astrophysics (85-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of particles and systems (70-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Integral equations (45-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

398 Publications have been cited 24,306 times in 7,647 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
1998
Efficient implementation of essentially nonoscillatory shock-capturing schemes. II. Zbl 0674.65061
Shu, Chi-Wang; Osher, Stanley
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
1989
The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems. Zbl 0920.65059
Cockburn, Bernardo; Shu, Chi-Wang
1998
Strong stability-preserving high-order time discretization methods. Zbl 0967.65098
Gottlieb, Sigal; Shu, Chi-Wang; Tadmor, Eitan
2001
Runge–Kutta discontinuous Galerkin methods for convection-dominated problems. Zbl 1065.76135
Cockburn, Bernardo; Shu, Chi-Wang
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
1989
Total variation diminishing Runge-Kutta schemes. Zbl 0897.65058
Gottlieb, Sigal; Shu, Chi-Wang
1998
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
1990
Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. Zbl 0927.65111
Shu, Chi-Wang
1998
Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. Zbl 0961.65078
Balsara, Dinshaw S.; Shu, Chi-Wang
2000
Total-variation-diminishing time discretizations. Zbl 0662.65081
Shu, Chiwang
1988
High order weighted essentially nonoscillatory schemes for convection dominated problems. Zbl 1160.65330
Shu, Chi-Wang
2009
Weighted essentially non-oscillatory schemes on triangular meshes. Zbl 0926.65090
Hu, Changqing; Shu, Chi-Wang
1999
The development of discontinuous Galerkin methods. Zbl 0989.76045
Cockburn, Bernardo; Karniadakis, George E.; Shu, Chi-Wang
2000
On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. Zbl 1282.76128
Zhang, Xiangxiong; Shu, Chi-Wang
2010
High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations. Zbl 0736.65066
Osher, Stanley; Shu, Chi-Wang
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
1991
On maximum-principle-satisfying high order schemes for scalar conservation laws. Zbl 1187.65096
Zhang, Xiangxiong; Shu, Chi-Wang
2010
On the Gibbs phenomenon and its resolution. Zbl 0885.42003
Gottlieb, David; Shu, Chi-Wang
1997
A local discontinuous Galerkin method for KdV type equations. Zbl 1021.65050
Yan, Jue; Shu, Chi-Wang
2002
A technique of treating negative weights in WENO schemes. Zbl 0992.65094
Shi, Jing; Hu, Changqing; Shu, Chi-Wang
2002
Runge-Kutta discontinuous Galerkin method using WENO limiters. Zbl 1077.65109
Qiu, Jianxian; Shu, Chi-Wang
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
2004
Strong stability preserving Runge-Kutta and multistep time discretizations. Zbl 1241.65064
Gottlieb, Sigal; Ketcheson, David; Shu, Chi-Wang
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
2011
High order finite difference WENO schemes with the exact conservation property for the shallow water equations. Zbl 1114.76340
Xing, Yulong; Shu, Chi-Wang
2005
TVB uniformly high-order schemes for conservation laws. Zbl 0628.65075
Shu, Chiwang
1987
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
2005
Locally divergence-free discontinuous Galerkin methods for the Maxwell equations. Zbl 1049.78019
Cockburn, Bernardo; Li, Fengyan; Shu, Chi-Wang
2004
High order strong stability preserving time discretizations. Zbl 1203.65135
Gottlieb, Sigal; Ketcheson, David I.; Shu, Chi-Wang
2009
Local discontinuous Galerkin methods for high-order time-dependent partial differential equations. Zbl 1364.65205
Xu, Yan; Shu, Chi-Wang
2010
Resolution of high order WENO schemes for complicated flow structures. Zbl 1047.76081
Shi, Jing; Zhang, Yong-Tao; Shu, Chi-Wang
2003
Local discontinuous Galerkin methods for nonlinear Schrödinger equations. Zbl 1072.65130
Xu, Yan; Shu, Chi-Wang
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
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
2006
On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes. Zbl 1018.65106
Qiu, Jianxian; Shu, Chi-Wang
2002
High-order finite difference and finite volume WENO schemes and discontinuous Galerkin methods for CFD. Zbl 1034.76044
Shu, Chi-Wang
2003
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
2012
Error estimates to smooth solutions of Runge-Kutta discontinuous Galerkin methods for scalar conservation laws. Zbl 1078.65080
Zhang, Qiang; Shu, Chi-Wang
2004
An efficient class of WENO schemes with adaptive order. Zbl 1422.65146
Balsara, Dinshaw S.; Garain, Sudip; Shu, Chi-Wang
2016
Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes. Zbl 1157.65453
Zhu, Jun; Qiu, Jianxian; Shu, Chi-Wang; Dumbser, Michael
2008
Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms. Zbl 1391.76375
Zhang, Xiangxiong; Shu, Chi-Wang
2011
A discontinuous Galerkin finite element method for Hamilton-Jacobi equations. Zbl 0946.65090
Hu, Changqing; Shu, Chi-Wang
1999
Local discontinuous Galerkin methods for partial differential equations with higher order derivatives. Zbl 1003.65115
Yan, Jue; Shu, Chi-Wang
2002
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
2005
High-order WENO schemes for Hamilton-Jacobi equations on triangular meshes. Zbl 1034.65051
Zhang, Yong-Tao; Shu, Chi-Wang
2003
Positivity-preserving high order finite difference WENO schemes for compressible Euler equations. Zbl 1426.76493
Zhang, Xiangxiong; Shu, Chi-Wang
2012
Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws. Zbl 1380.65253
Chen, Tianheng; Shu, Chi-Wang
2017
On a cell entropy inequality for discontinuous Galerkin methods. Zbl 0801.65098
Jiang, Guangshan; Shu, Chi-Wang
1994
A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives. Zbl 1141.65075
Cheng, Yingda; Shu, Chi-Wang
2008
On positivity preserving finite volume schemes for Euler equations. Zbl 0857.76062
Perthame, Benoit; Shu, Chi-Wang
1996
Enhanced accuracy by post-processing for finite element methods for hyperbolic equations. Zbl 1015.65049
Cockburn, Bernardo; Luskin, Mitchell; Shu, Chi-Wang; Süli, Endre
2003
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
2010
A high-order ENO conservative Lagrangian type scheme for the compressible Euler equations. Zbl 1126.76035
Cheng, Juan; Shu, Chi-Wang
2007
Third order WENO scheme on three dimensional tetrahedral meshes. Zbl 1364.65177
Zhang, Yong-Tao; Shu, Chi-Wang
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
2013
Local discontinuous Galerkin methods for the Cahn-Hilliard type equations. Zbl 1131.65088
Xia, Yinhua; Xu, Yan; Shu, Chi-Wang
2007
Central discontinuous Galerkin methods on overlapping cells with a nonoscillatory hierarchical reconstruction. Zbl 1157.65450
Liu, Yingjie; Shu, Chi-Wang; Tadmor, Eitan; Zhang, Mengping
2007
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
2007
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
2010
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
1992
Positivity-preserving method for high-order conservative schemes solving compressible Euler equations. Zbl 1311.76088
Hu, Xiangyu Y.; Adams, Nikolaus A.; Shu, Chi-Wang
2013
Anti-diffusive flux corrections for high order finite difference WENO schemes. Zbl 1087.76080
Xu, Zhengfu; Shu, Chi-Wang
2005
A local discontinuous Galerkin method for the Camassa-Holm equation. Zbl 1173.65063
Xu, Yan; Shu, Chi-Wang
2008
Local discontinuous Galerkin methods for nonlinear dispersive equations. Zbl 1055.65109
Levy, Doron; Shu, Chi-Wang; Yan, Jue
2004
Optimal error estimates of the semidiscrete local discontinuous Galerkin methods for high order wave equations. Zbl 1247.65121
Xu, Yan; Shu, Chi-Wang
2012
High order ENO and WENO schemes for computational fluid dynamics. Zbl 0937.76044
Shu, Chi-Wang
1999
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
2006
Locally divergence-free discontinuous Galerkin methods for MHD equations. Zbl 1123.76341
Li, Fengyan; Shu, Chi-Wang
2005
Small-scale structures in Boussinesq convection. Zbl 0822.76087
E, Weinan; Shu, Chi-Wang
1994
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
2011
Analysis of optimal superconvergence of discontinuous Galerkin method for linear hyperbolic equations. Zbl 1276.65055
Yang, Yang; Shu, Chi-Wang
2012
Development of nonlinear weighted compact schemes with increasingly higher order accuracy. Zbl 1152.65094
Zhang, Shuhai; Jiang, Shufen; Shu, Chi-Wang
2008
Numerical experiments on the accuracy of ENO and modified ENO schemes. Zbl 0732.65085
Shu, Chi-Wang
1990
Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws. Zbl 1198.65174
Tan, Sirui; Shu, Chi-Wang
2010
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
2015
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
2016
The discontinuous Galerkin method with Lax–Wendroff type time discretizations. Zbl 1093.76038
Qiu, Jianxian; Dumbser, Michael; Shu, Chi-Wang
2005
Finite difference WENO schemes with Lax-Wendroff-type time discretizations. Zbl 1034.65073
Qiu, Jianxian; Shu, Chi-Wang
2003
Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations. Zbl 1243.80011
Wang, Cheng; Zhang, Xiangxiong; Shu, Chi-Wang; Ning, Jianguo
2012
Local discontinuous Galerkin methods for the Kuramoto-Sivashinsky equations and the Ito-type coupled KdV equations. Zbl 1124.76035
Xu, Yan; Shu, Chi-Wang
2006
Analysis of a local discontinuous Galerkin method for linear time-dependent fourth-order problems. Zbl 1204.65123
Dong, Bo; Shu, Chi-Wang
2009
A high-order discontinuous Galerkin method for 2D incompressible flows. Zbl 0963.76069
Liu, Jian-Guo; Shu, Chi-Wang
2000
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
2013
Discontinuous Galerkin methods. Theory, computation and applications. 1st international symposium on DGM, Newport, RI, USA, May 24–26, 1999. Zbl 0935.00043
2000
Nonlinearly stable compact schemes for shock calculations. Zbl 0805.65085
Cockburn, Bernardo; Shu, Chi-Wang
1994
Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow. Zbl 1391.76489
Qiu, Jing-Mei; Shu, Chi-Wang
2011
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
2016
A survey of high order schemes for the shallow water equations. Zbl 1324.76035
Xing, Yulong; Shu, Chi-Wang
2014
An analysis of three different formulations of the discontinuous Galerkin method for diffusion equations. Zbl 1050.65094
Zhang, Mengping; Shu, Chi-Wang
2003
A new type of multi-resolution WENO schemes with increasingly higher order of accuracy. Zbl 1416.65286
Zhu, Jun; Shu, Chi-Wang
2018
Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equations. Zbl 1078.35111
Xu, Yan; Shu, Chi-Wang
2005
A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations. Zbl 1124.65090
Cheng, Yingda; Shu, Chi-Wang
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
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
2006
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
2009
On the order of accuracy and numerical performance of two classes of finite volume WENO schemes. Zbl 1364.65176
Zhang, Rui; Zhang, Mengping; Shu, Chi-Wang
2011
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
2022
A high order positivity-preserving conservative WENO remapping method on 3D tetrahedral meshes. Zbl 07532592
Lei, Nuo; Cheng, Juan; Shu, Chi-Wang
2022
An essentially oscillation-free discontinuous Galerkin method for hyperbolic systems. Zbl 1484.65226
Liu, Yong; Lu, Jianfang; Shu, Chi-Wang
2022
A high order positivity-preserving conservative WENO remapping method on 2D quadrilateral meshes. Zbl 07337779
Lei, Nuo; Cheng, Juan; Shu, Chi-Wang
2021
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations. Zbl 1480.65271
Wu, Kailiang; Shu, Chi-Wang
2021
An inverse Lax-Wendroff procedure for hyperbolic conservation laws with changing wind direction on the boundary. Zbl 07510055
Lu, Jianfang; Shu, Chi-Wang; Tan, Sirui; Zhang, Mengping
2021
An oscillation-free discontinuous Galerkin method for scalar hyperbolic conservation laws. Zbl 1467.65095
Lu, Jianfang; Liu, Yong; Shu, Chi-Wang
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
2021
Enforcing strong stability of explicit Runge-Kutta methods with superviscosity. Zbl 1499.65305
Sun, Zheng; Shu, Chi-Wang
2021
On a class of splines free of Gibbs phenomenon. Zbl 1480.65028
Amat, Sergio; Ruiz, Juan; Shu, Chi-Wang; Trillo, Juan Carlos
2021
A high order conservative finite difference scheme for compressible two-medium flows. Zbl 07515853
Zheng, Feng; Shu, Chi-Wang; Qiu, Jianxian
2021
Multi-resolution HWENO schemes for hyperbolic conservation laws. Zbl 07516463
Li, Jiayin; Shu, Chi-Wang; Qiu, Jianxian
2021
High-order Runge-Kutta discontinuous Galerkin methods with multi-resolution WENO limiters for solving steady-state problems. Zbl 1475.65140
Zhu, Jun; Shu, Chi-Wang; Qiu, Jianxian
2021
Dissipative and conservative local discontinuous Galerkin methods for the Fornberg-Whitham type equations. Zbl 1473.65225
Zhang, Qian; Xu, Yan; Shu, Chi-Wang
2021
Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing. Zbl 07423609
Amat, Sergio; Ruiz-Álvarez, Juan; Shu, Chi-Wang; Yáñez, Dionisio F.
2021
Sub-optimal convergence of discontinuous Galerkin methods with central fluxes for linear hyperbolic equations with even degree polynomial approximations. Zbl 1499.65507
Liu, Yong; Shu, Chi-Wang; Zhang, Mengping
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
2021
Weighted ghost fluid discontinuous Galerkin method for two-medium problems. Zbl 07510069
Liu, Yun-Long; Shu, Chi-Wang; Zhang, A-Man
2021
A local discontinuous Galerkin method for nonlinear parabolic SPDEs. Zbl 1480.65019
Li, Yunzhang; Shu, Chi-Wang; Tang, Shanjian
2021
A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes. Zbl 1453.65266
Zhu, Jun; Shu, Chi-Wang
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
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
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
2020
Entropy symmetrization and high-order accurate entropy stable numerical schemes for relativistic MHD equations. Zbl 1450.65089
Wu, Kailiang; Shu, Chi-Wang
2020
A discontinuous Galerkin method for stochastic conservation laws. Zbl 07149719
Li, Yunzhang; Shu, Chi-Wang; Tang, Shanjian
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
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
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
2020
An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives. Zbl 1446.65118
Tao, Qi; Xu, Yan; Shu, Chi-Wang
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
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
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
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.
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
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
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
2020
On moving mesh WENO schemes with characteristic boundary conditions for Hamilton-Jacobi equations. Zbl 07211850
Li, Yue; Cheng, Juan; Xia, Yinhua; Shu, Chi-Wang
2020
Existence and computation of solutions of a model of traffic involving hysteresis. Zbl 1454.35235
Fan, Haitao; Shu, Chi-Wang
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
2020
High order conservative Lagrangian schemes for one-dimensional radiation hydrodynamics equations in the equilibrium-diffusion limit. Zbl 07508352
Cheng, Juan; Shu, Chi-Wang; Song, Peng
2020
Positivity-preserving time discretizations for production-destruction equations with applications to non-equilibrium flows. Zbl 1420.35190
Huang, Juntao; Shu, Chi-Wang
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
2019
Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes. Zbl 1419.76446
Wu, Kailiang; Shu, Chi-Wang
2019
Strong stability of explicit Runge-Kutta time discretizations. Zbl 1422.65224
Sun, Zheng; Shu, Chi-Wang
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
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
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
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
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
2019
An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg-de Vries equation. Zbl 1407.65187
Fu, Guosheng; Shu, Chi-Wang
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
2019
Superconvergence of energy-conserving discontinuous Galerkin methods for linear hyperbolic equations. Zbl 1449.65250
Liu, Yong; Shu, Chi-Wang; Zhang, Mengping
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
2019
On new strategies to control the accuracy of WENO algorithms close to discontinuities. Zbl 1436.65095
Amat, Sergio; Ruiz, Juan; Shu, Chi-Wang
2019
Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems. Zbl 1452.65230
Fu, Guosheng; Shu, Chi-Wang
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
2019
Numerical solutions of stochastic PDEs driven by arbitrary type of noise. Zbl 1475.60112
Chen, Tianheng; Rozovskii, Boris; Shu, Chi-Wang
2019
Bounded and compact weighted essentially nonoscillatory limiters for discontinuous Galerkin schemes: triangular elements. Zbl 1452.76097
Mazaheri, Alireza; Shu, Chi-Wang; Perrier, Vincent
2019
Preface to the focused issue on fractional derivatives and general nonlocal models. Zbl 1449.00002
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
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
2019
A new type of multi-resolution WENO schemes with increasingly higher order of accuracy. Zbl 1416.65286
Zhu, Jun; Shu, Chi-Wang
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
2018
Superconvergence of discontinuous Galerkin method for scalar nonlinear hyperbolic equations. Zbl 1450.65116
Cao, Waixiang; Shu, Chi-Wang; Yang, Yang; Zhang, Zhimin
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
2018
A provably positive discontinuous Galerkin method for multidimensional ideal magnetohydrodynamics. Zbl 1404.65184
Wu, Kailiang; Shu, Chi-Wang
2018
Implicit positivity-preserving high-order discontinuous Galerkin methods for conservation laws. Zbl 1380.65285
Qin, Tong; Shu, Chi-Wang
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
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
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
2018
On local conservation of numerical methods for conservation laws. Zbl 1410.65327
Shi, Cengke; Shu, Chi-Wang
2018
Bound-preserving high-order schemes for hyperbolic equations: survey and recent developments. Zbl 1412.65155
Shu, Chi-Wang
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
2018
Discontinuous Galerkin methods for Maxwell’s equations in Drude metamaterials on unstructured meshes. Zbl 1462.65156
Shi, Cengke; Li, Jichun; Shu, Chi-Wang
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
2018
Discontinuous Galerkin methods for a kinetic model of self-organized dynamics. Zbl 1404.65168
Filbet, Francis; Shu, Chi-Wang
2018
Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws. Zbl 1380.65253
Chen, Tianheng; Shu, Chi-Wang
2017
Optimal non-dissipative discontinuous Galerkin methods for Maxwell’s equations in Drude metamaterials. Zbl 1370.74143
Li, Jichun; Shi, Cengke; Shu, Chi-Wang
2017
Local discontinuous Galerkin method for the Keller-Segel chemotaxis model. Zbl 1384.92015
Li, Xingjie Helen; Shu, Chi-Wang; Yang, Yang
2017
A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 1380.65262
Fu, Guosheng; Shu, Chi-Wang
2017
H(div) conforming and DG methods for incompressible Euler’s equations. Zbl 1433.76085
Guzmán, Johnny; Shu, Chi-Wang; Sequeira, Filánder A.
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
2017
Stability of the fourth order Runge-Kutta method for time-dependent partial differential equations. Zbl 1381.65079
Sun, Zheng; Shu, Chi-Wang
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
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
2017
Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations. Zbl 1415.65204
Zheng, Feng; Shu, Chi-Wang; Qiu, Jianxian
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
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
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
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
2017
Stability analysis and error estimates of Lax-Wendroff discontinuous Galerkin methods for linear conservation laws. Zbl 1373.65063
Sun, Zheng; Shu, Chi-Wang
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
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
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
2017
Runge-Kutta discontinuous Galerkin method with a simple and compact Hermite WENO limiter on unstructured meshes. Zbl 1488.65493
Zhu, Jun; Zhong, Xinghui; Shu, Chi-Wang; Qiu, Jianxian
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
2017
Inverse Lax-Wendroff procedure for numerical boundary treatment of hyperbolic equations. Zbl 1366.65080
Shu, C.-W.; Tan, S.
2017
Bound-preserving high order finite volume schemes for conservation laws and convection-diffusion equations. Zbl 1372.65251
Shu, Chi-Wang
2017
Handbook on numerical methods for hyperbolic problems. Applied and modern issues. Zbl 1364.65001
2017
A simple bound-preserving sweeping technique for conservative numerical approximations. Zbl 1381.65087
Liu, Yuan; Cheng, Yingda; Shu, Chi-Wang
2017
...and 298 more Documents
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### Cited by 8,449 Authors

 272 Shu, Chi-Wang 99 Dumbser, Michael 89 Qiu, Jianxian 57 Kurganov, Alexander 52 Cockburn, Bernardo 52 Xu, Yan 48 Zhu, Jun 47 Osher, Stanley Joel 46 Adams, Nikolaus A. 46 Qiu, Jingmei 45 Baccouch, Mahboub 45 Wang, Zhijian 43 Xing, Yulong 43 Xu, Kun 42 Li, Jichun 42 Liu, Hailiang 41 Abgrall, Rémi 41 Cheng, Yingda 41 Dawson, Clint N. 41 Xiao, Feng 40 Zhang, Mengping 39 Don, Wai Sun 39 Liu, Tiegang 39 Toro, Eleuterio Francisco 38 Balsara, Dinshaw S. 38 Hesthaven, Jan S. 36 Bürger, Raimund 36 Yang, Yang 35 Dehghan Takht Fooladi, Mehdi 35 Li, Fengyan 35 Mulet, Pep 33 Gao, Zhen 33 Gassner, Gregor J. 33 Xia, Yinhua 32 Christlieb, Andrew J. 32 Deng, Xiaogang 31 Tang, Huazhong 31 Yu, Xijun 30 Huang, Yunqing 30 Qian, Jianliang 30 Russo, Giovanni 29 Amat, Sergio P. 29 Chertock, Alina E. 29 Fedkiw, Ronald P. 29 Ren, Yuxin 29 Ryan, Jennifer K. 28 Boscheri, Walter 28 Kuzmin, Dmitri 28 Munz, Claus-Dieter 27 Castro, Manuel J. 27 Loubère, Raphaël 27 Zhang, Qiang 26 Zhang, Yongtao 26 Zhang, Zhimin 25 Jameson, Antony 25 Xiong, Tao 24 Guermond, Jean-Luc 24 Luo, Hong 24 van der Vegt, Jaap J. W. 23 Drikakis, Dimitris 23 Gelb, Anne 23 Karniadakis, George Em 23 Li, Gang 23 Parés Madroñal, Carlos 23 Popov, Boyan 23 Ranocha, Hendrik 23 Wei, LeiLei 22 Carpenter, Mark H. 22 Chandrashekar, Praveen 22 Guo, Wei 22 Ketcheson, David I. 22 Ricchiuto, Mario 22 Seaïd, Mohammed 21 Carrillo de la Plata, José Antonio 21 Kirby, Robert M. II 20 Cheng, Jian 20 Cheng, Juan 20 Kubatko, Ethan J. 20 Mishra, Siddhartha 20 Yan, Chao 19 Adjerid, Slimane 19 Filbet, Francis 19 Martínez Gamba, Irene 19 Gibou, Frédéric 19 Gottlieb, Sigal 19 Parsani, Matteo 19 Song, Songhe 19 Xie, Bin 19 Yee, Helen C. 19 Zhang, Fan 19 Zhang, Xiangxiong 18 Deng, Xi 18 Kang, Myungjoo 18 Lin, Guang 18 Nogueira, Xesús 18 Pareschi, Lorenzo 18 Sjogreen, Bjorn 18 Wang, Cheng 18 Winters, Andrew R. 17 Berthon, Christophe ...and 8,349 more Authors
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### Cited in 334 Serials

 1,965 Journal of Computational Physics 816 Journal of Scientific Computing 601 Computers and Fluids 265 Computer Methods in Applied Mechanics and Engineering 225 Applied Numerical Mathematics 223 Journal of Computational and Applied Mathematics 206 Applied Mathematics and Computation 193 Computers & Mathematics with Applications 167 SIAM Journal on Scientific Computing 163 Journal of Fluid Mechanics 142 Mathematics of Computation 140 Communications in Computational Physics 101 SIAM Journal on Numerical Analysis 95 International Journal for Numerical Methods in Fluids 67 Applied Mathematical Modelling 63 Numerische Mathematik 62 Advances in Applied Mathematics and Mechanics 60 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 59 International Journal of Computational Fluid Dynamics 56 Communications on Applied Mathematics and Computation 55 Mathematics and Computers in Simulation 55 Numerical Methods for Partial Differential Equations 52 Numerical Algorithms 43 International Journal for Numerical Methods in Engineering 38 Physics of Fluids 37 International Journal of Computer Mathematics 36 Advances in Computational Mathematics 31 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 30 Computational and Applied Mathematics 29 BIT 29 International Journal of Numerical Analysis and Modeling 28 Engineering Analysis with Boundary Elements 28 Computational Geosciences 25 International Journal of Computational Methods 24 Applied Mathematics and Mechanics. (English Edition) 23 Applied Mathematics Letters 23 Communications in Nonlinear Science and Numerical Simulation 22 Physica D 22 Computational Mechanics 21 Computational Mathematics and Mathematical Physics 20 Computer Physics Communications 20 Journal of Mathematical Analysis and Applications 20 Mathematical Problems in Engineering 20 Combustion Theory and Modelling 20 Matematicheskoe Modelirovanie 20 Acta Mechanica Sinica 19 Journal of Differential Equations 18 Multiscale Modeling & Simulation 16 Mathematical and Computer Modelling 16 European Journal of Mechanics. B. Fluids 16 Science China. Mathematics 16 AMM. Applied Mathematics and Mechanics. (English Edition) 15 Calcolo 15 Discrete and Continuous Dynamical Systems. Series B 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 13 Mathematical Methods in the Applied Sciences 13 Journal of Numerical Mathematics 13 Communications in Applied Mathematics and Computational Science 12 Wave Motion 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Applied and Computational Harmonic Analysis 12 S$$\vec{\text{e}}$$MA Journal 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Archives of Computational Methods in Engineering 11 Mathematical Biosciences and Engineering 10 Journal of Engineering Mathematics 10 Doklady Mathematics 10 Foundations of Computational Mathematics 10 Advances in Difference Equations 10 Kinetic and Related Models 10 Results in Applied Mathematics 9 Applicable Analysis 9 Classical and Quantum Gravity 9 Journal of Mathematical Physics 9 COMPEL 9 Flow, Turbulence and Combustion 9 International Journal of Modern Physics C 9 Computational Methods in Applied Mathematics 9 Journal of Applied Mathematics and Computing 9 Journal of Hyperbolic Differential Equations 9 International Journal for Numerical Methods in Biomedical Engineering 9 International Journal of Applied and Computational Mathematics 8 Archive for Rational Mechanics and Analysis 8 Physica A 8 Numerical Functional Analysis and Optimization 8 Acta Mathematicae Applicatae Sinica. English Series 8 International Journal of Numerical Methods for Heat & Fluid Flow 8 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 8 Abstract and Applied Analysis 8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 8 Networks and Heterogeneous Media 8 Communications in Applied and Industrial Mathematics 8 East Asian Journal on Applied Mathematics 8 SMAI Journal of Computational Mathematics 7 Communications in Mathematical Physics 7 Journal of Mathematical Biology 7 Transport Theory and Statistical Physics 7 Bulletin of Mathematical Biology ...and 234 more Serials
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### Cited in 47 Fields

 5,376 Numerical analysis (65-XX) 4,135 Fluid mechanics (76-XX) 3,003 Partial differential equations (35-XX) 330 Mechanics of deformable solids (74-XX) 326 Statistical mechanics, structure of matter (82-XX) 227 Optics, electromagnetic theory (78-XX) 216 Biology and other natural sciences (92-XX) 204 Geophysics (86-XX) 167 Classical thermodynamics, heat transfer (80-XX) 144 Calculus of variations and optimal control; optimization (49-XX) 104 Approximations and expansions (41-XX) 97 Ordinary differential equations (34-XX) 93 Harmonic analysis on Euclidean spaces (42-XX) 81 Computer science (68-XX) 77 Operations research, mathematical programming (90-XX) 67 Dynamical systems and ergodic theory (37-XX) 57 Probability theory and stochastic processes (60-XX) 48 Integral equations (45-XX) 45 Astronomy and astrophysics (85-XX) 36 Systems theory; control (93-XX) 36 Information and communication theory, circuits (94-XX) 34 Real functions (26-XX) 34 Quantum theory (81-XX) 30 Mechanics of particles and systems (70-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 27 Special functions (33-XX) 26 Relativity and gravitational theory (83-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 15 Statistics (62-XX) 12 General and overarching topics; collections (00-XX) 11 Functional analysis (46-XX) 11 Operator theory (47-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Differential geometry (53-XX) 6 History and biography (01-XX) 5 Integral transforms, operational calculus (44-XX) 4 Combinatorics (05-XX) 4 Potential theory (31-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 3 Mathematics education (97-XX) 2 Algebraic geometry (14-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 General topology (54-XX)

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