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## Shu, Chi-Wang

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 Author ID: 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
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#### 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
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#### 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
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#### Fields

 324 Numerical analysis (65-XX) 208 Partial differential equations (35-XX) 140 Fluid mechanics (76-XX) 27 Statistical mechanics, structure of matter (82-XX) 10 General and overarching topics; collections (00-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Biology and other natural sciences (92-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Mechanics of deformable solids (74-XX) 7 Operations research, mathematical programming (90-XX) 6 Optics, electromagnetic theory (78-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 History and biography (01-XX) 5 Special functions (33-XX) 5 Ordinary differential equations (34-XX) 4 Probability theory and stochastic processes (60-XX) 4 Astronomy and astrophysics (85-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Differential geometry (53-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

#### 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
1989
The local discontinuous Galerkin method for time-dependent convection-diffusion systems. Zbl 0927.65118
Cockburn, Bernardo; Shu, Chi-Wang
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
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
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
Total variation diminishing Runge-Kutta schemes. Zbl 0897.65058
Gottlieb, Sigal; Shu, Chi-Wang
1998
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
The development of discontinuous Galerkin methods. Zbl 0989.76045
Cockburn, Bernardo; Karniadakis, George E.; Shu, Chi-Wang
2000
Weighted essentially non-oscillatory schemes on triangular meshes. Zbl 0926.65090
Hu, Changqing; Shu, Chi-Wang
1999
High order weighted essentially nonoscillatory schemes for convection dominated problems. Zbl 1160.65330
Shu, Chi-Wang
2009
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 the Gibbs phenomenon and its resolution. Zbl 0885.42003
Gottlieb, David; Shu, Chi-Wang
1997
On maximum-principle-satisfying high order schemes for scalar conservation laws. Zbl 1187.65096
Zhang, Xiangxiong; Shu, Chi-Wang
2010
On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. Zbl 1282.76128
Zhang, Xiangxiong; Shu, Chi-Wang
2010
A technique of treating negative weights in WENO schemes. Zbl 0992.65094
Shi, Jing; Hu, Changqing; Shu, Chi-Wang
2002
A local discontinuous Galerkin method for KdV type equations. Zbl 1021.65050
Yan, Jue; 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
TVB uniformly high-order schemes for conservation laws. Zbl 0628.65075
Shu, Chiwang
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
2005
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
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
High order strong stability preserving time discretizations. Zbl 1203.65135
Gottlieb, Sigal; Ketcheson, David I.; Shu, Chi-Wang
2009
Locally divergence-free discontinuous Galerkin methods for the Maxwell equations. Zbl 1049.78019
Cockburn, Bernardo; Li, Fengyan; Shu, Chi-Wang
2004
Local discontinuous Galerkin methods for high-order time-dependent partial differential equations. Zbl 1364.65205
Xu, Yan; Shu, Chi-Wang
2010
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 well-balanced finite volume WENO schemes for shallow water equation with moving water. Zbl 1120.76046
Noelle, Sebastian; Xing, Yulong; Shu, Chi-Wang
2007
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 and discontinuous Galerkin methods for a class of hyperbolic systems with source terms. Zbl 1089.65091
Xing, Yulong; Shu, Chi-Wang
2006
Error estimates to smooth solutions of Runge-Kutta discontinuous Galerkin methods for scalar conservation laws. Zbl 1078.65080
Zhang, Qiang; Shu, Chi-Wang
2004
High-order finite difference and finite volume WENO schemes and discontinuous Galerkin methods for CFD. Zbl 1034.76044
Shu, Chi-Wang
2003
Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes. Zbl 1157.65453
Zhu, Jun; Qiu, Jianxian; Shu, Chi-Wang; Dumbser, Michael
2008
Resolution of high order WENO schemes for complicated flow structures. Zbl 1047.76081
Shi, Jing; Zhang, Yong-Tao; Shu, Chi-Wang
2003
A discontinuous Galerkin finite element method for Hamilton-Jacobi equations. Zbl 0946.65090
Hu, Changqing; Shu, Chi-Wang
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
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.)
2000
High-order WENO schemes for Hamilton-Jacobi equations on triangular meshes. Zbl 1034.65051
Zhang, Yong-Tao; Shu, Chi-Wang
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
2005
Local discontinuous Galerkin methods for partial differential equations with higher order derivatives. Zbl 1003.65115
Yan, Jue; Shu, Chi-Wang
2002
On a cell entropy inequality for discontinuous Galerkin methods. Zbl 0801.65098
Jiang, Guangshan; Shu, Chi-Wang
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
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
2010
Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms. Zbl 1391.76375
Zhang, Xiangxiong; Shu, Chi-Wang
2011
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
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
Local discontinuous Galerkin methods for the Cahn-Hilliard type equations. Zbl 1131.65088
Xia, Yinhua; Xu, Yan; Shu, Chi-Wang
2007
Local discontinuous Galerkin methods for nonlinear dispersive equations. Zbl 1055.65109
Levy, Doron; Shu, Chi-Wang; Yan, Jue
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
2003
On positivity preserving finite volume schemes for Euler equations. Zbl 0857.76062
Perthame, Benoit; Shu, Chi-Wang
1996
Small-scale structures in Boussinesq convection. Zbl 0822.76087
E, Weinan; Shu, Chi-Wang
1994
Numerical experiments on the accuracy of ENO and modified ENO schemes. Zbl 0732.65085
Shu, Chi-Wang
1990
A local discontinuous Galerkin method for the Camassa-Holm equation. Zbl 1173.65063
Xu, Yan; Shu, Chi-Wang
2008
High order ENO and WENO schemes for computational fluid dynamics. Zbl 0937.76044
Shu, Chi-Wang
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
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
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
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
2006
Positivity-preserving high order finite difference WENO schemes for compressible Euler equations. Zbl 1426.76493
Zhang, Xiangxiong; Shu, Chi-Wang
2012
Locally divergence-free discontinuous Galerkin methods for MHD equations. Zbl 1123.76341
Li, Fengyan; Shu, Chi-Wang
2005
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
Nonlinearly stable compact schemes for shock calculations. Zbl 0805.65085
Cockburn, Bernardo; Shu, Chi-Wang
1994
An efficient class of WENO schemes with adaptive order. Zbl 1422.65146
Balsara, Dinshaw S.; Garain, Sudip; Shu, Chi-Wang
2016
Anti-diffusive flux corrections for high order finite difference WENO schemes. Zbl 1087.76080
Xu, Zhengfu; Shu, Chi-Wang
2005
Analysis of optimal superconvergence of discontinuous Galerkin method for linear hyperbolic equations. Zbl 1276.65055
Yang, Yang; Shu, Chi-Wang
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
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
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
2013
Development of nonlinear weighted compact schemes with increasingly higher order accuracy. Zbl 1152.65094
Zhang, Shuhai; Jiang, Shufen; Shu, Chi-Wang
2008
A high-order discontinuous Galerkin method for 2D incompressible flows. Zbl 0963.76069
Liu, Jian-Guo; Shu, Chi-Wang
2000
Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws. Zbl 1198.65174
Tan, Sirui; Shu, Chi-Wang
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
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
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
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
2003
Optimal error estimates of the semidiscrete local discontinuous Galerkin methods for high order wave equations. Zbl 1247.65121
Xu, Yan; Shu, Chi-Wang
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
2005
An analysis of three different formulations of the discontinuous Galerkin method for diffusion equations. Zbl 1050.65094
Zhang, Mengping; Shu, Chi-Wang
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
2008
A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations. Zbl 1124.65090
Cheng, Yingda; Shu, Chi-Wang
2007
Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations. Zbl 1243.80011
Wang, Cheng; Zhang, Xiangxiong; Shu, Chi-Wang; Ning, Jianguo
2012
Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow. Zbl 1391.76489
Qiu, Jing-Mei; Shu, Chi-Wang
2011
Analysis of a local discontinuous Galerkin method for linear time-dependent fourth-order problems. Zbl 1204.65123
Dong, Bo; Shu, Chi-Wang
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
2006
Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equations. Zbl 1078.35111
Xu, Yan; Shu, Chi-Wang
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
2013
A survey of high order schemes for the shallow water equations. Zbl 1324.76035
Xing, Yulong; Shu, Chi-Wang
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
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
2011
Efficient time discretization for local discontinuous Galerkin methods. Zbl 1141.65076
Xia, Yinhua; Xu, Yan; Shu, Chi-Wang
2007
An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives. Zbl 1446.65118
Tao, Qi; Xu, Yan; Shu, Chi-Wang
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 discontinuous Galerkin method for stochastic conservation laws. Zbl 07149719
Li, Yunzhang; Shu, Chi-Wang; Tang, Shanjian
2020
Strong stability of explicit Runge-Kutta time discretizations. Zbl 1422.65224
Sun, Zheng; 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
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
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
Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes. Zbl 1419.76446
Wu, Kailiang; Shu, Chi-Wang
2019
Positivity-preserving time discretizations for production-destruction equations with applications to non-equilibrium flows. Zbl 1420.35190
Huang, Juntao; 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
On new strategies to control the accuracy of WENO algorithms close to discontinuities. Zbl 1436.65095
Amat, Sergio; Ruiz, Juan; Shu, Chi-Wang
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
Superconvergence of energy-conserving discontinuous Galerkin methods for linear hyperbolic equations. Zbl 1449.65250
Liu, Yong; Shu, Chi-Wang; Zhang, Mengping
2019
Numerical solutions of stochastic PDEs driven by arbitrary type of noise. Zbl 07114866
Chen, Tianheng; Rozovskii, Boris; 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
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
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
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
A new type of multi-resolution WENO schemes with increasingly higher order of accuracy. Zbl 1416.65286
Zhu, Jun; Shu, Chi-Wang
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
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
A provably positive discontinuous Galerkin method for multidimensional ideal magnetohydrodynamics. Zbl 1404.65184
Wu, Kailiang; Shu, Chi-Wang
2018
On local conservation of numerical methods for conservation laws. Zbl 1410.65327
Shi, Cengke; 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
Discontinuous Galerkin methods for Maxwell’s equations in Drude metamaterials on unstructured meshes. Zbl 06887280
Shi, Cengke; Li, Jichun; Shu, Chi-Wang
2018
Implicit positivity-preserving high-order discontinuous Galerkin methods for conservation laws. Zbl 1380.65285
Qin, Tong; 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
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
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
Local discontinuous Galerkin method for the Keller-Segel chemotaxis model. Zbl 1384.92015
Li, Xingjie Helen; Shu, Chi-Wang; Yang, Yang
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
H(div) conforming and DG methods for incompressible Euler’s equations. Zbl 1433.76085
Guzmán, Johnny; Shu, Chi-Wang; Sequeira, Filánder A.
2017
Stability of the fourth order Runge-Kutta method for time-dependent partial differential equations. Zbl 1381.65079
Sun, Zheng; Shu, Chi-Wang
2017
A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 1380.65262
Fu, Guosheng; 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
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
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
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
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
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
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
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
Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations. Zbl 1415.65204
Zheng, Feng; Shu, Chi-Wang; Qiu, Jianxian
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
A simple bound-preserving sweeping technique for conservative numerical approximations. Zbl 1381.65087
Liu, Yuan; Cheng, Yingda; Shu, Chi-Wang
2017
Bound-preserving high order finite volume schemes for conservation laws and convection-diffusion equations. Zbl 1372.65251
Shu, Chi-Wang
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
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
Handbook on numerical methods for hyperbolic problems. Applied and modern issues. Zbl 1364.65001
Abgrall, Rémi (ed.); Shu, Chi-Wang (ed.)
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
An efficient class of WENO schemes with adaptive order. Zbl 1422.65146
Balsara, Dinshaw S.; Garain, Sudip; Shu, Chi-Wang
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
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
2016
Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics. Zbl 1349.83037
Qin, Tong; Shu, Chi-Wang; Yang, Yang
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
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
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
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
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
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.
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
2016
Analysis of the local discontinuous Galerkin method for the drift-diffusion model of semiconductor devices. Zbl 1342.65183
Liu, YunXian; Shu, Chi-Wang
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
2016
Handbook of numerical methods for hyperbolic problems. Basic and fundamental issues. Zbl 1352.65001
Abgrall, Remi (ed.); Shu, Chi-Wang (ed.)
2016
A new multiscale discontinuous Galerkin method for the one-dimensional stationary Schrödinger equation. Zbl 1342.65169
Dong, Bo; Shu, Chi-Wang; Wang, Wei
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
2016
Convergence of discontinuous Galerkin schemes for front propagation with obstacles. Zbl 1353.65104
Bokanowski, Olivier; Cheng, Yingda; Shu, Chi-Wang
2016
Three-dimensional ghost-fluid large-scale numerical investigation on air explosion. Zbl 1390.76635
Wang, Cheng; Ding, JianXu; Shu, Chi-Wang; Li, Tao
2016
Discontinuous Galerkin methods for time-dependent convection dominated problems: basics, recent developments and comparison with other methods. Zbl 1357.65179
Shu, Chi-Wang
2016
High order positivity-preserving discontinuous Galerkin methods for radiative transfer equations. Zbl 1351.65105
Yuan, Daming; Cheng, Juan; Shu, Chi-Wang
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
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.
2015
Superconvergence of discontinuous Galerkin methods for two-dimensional hyperbolic equations. Zbl 1328.65195
Cao, Waixiang; Shu, Chi-Wang; Yang, Yang; Zhang, Zhimin
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
2015
Development and stability analysis of the inverse Lax-Wendroff boundary treatment for central compact schemes. Zbl 1311.65116
Vilar, François; Shu, Chi-Wang
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
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
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
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
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.
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
2015
Recovering exponential accuracy in Fourier spectral methods involving piecewise smooth functions with unbounded derivative singularities. Zbl 1331.65145
Chen, Zheng; Shu, Chi-Wang
2015
Numerical solution of the viscous surface wave with discontinuous Galerkin method. Zbl 1321.35143
Wu, Lei; Shu, Chi-Wang
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
2015
A survey of high order schemes for the shallow water equations. Zbl 1324.76035
Xing, Yulong; Shu, Chi-Wang
2014
Positivity-preserving Lagrangian scheme for multi-material compressible flow. Zbl 1349.76439
Cheng, Juan; Shu, Chi-Wang
2014
Discontinuous Galerkin method for time-dependent problems: survey and recent developments. Zbl 1282.65122
Shu, Chi-Wang
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
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
2014
Free-stream preserving finite difference schemes on curvilinear meshes. Zbl 1292.65091
Jiang, Yan; Shu, Chi-Wang; Zhang, Mengping
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.
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
2014
A discontinuous Galerkin scheme for front propagation with obstacles. Zbl 1291.65182
Bokanowski, Olivier; Cheng, Yingda; Shu, Chi-Wang
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
2014
Recovering exponential accuracy from collocation point values of smooth functions with end-point singularities. Zbl 1311.65013
Chen, Zheng; Shu, Chi-Wang
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
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
2013
...and 252 more Documents
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#### 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
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#### 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
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#### 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

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