## Zhang, Mengping

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 Author ID: zhang.mengping Published as: Zhang, Mengping; Zhang, Zeng-Ping; Zhang, Zengping more...less
 Documents Indexed: 119 Publications since 1982 Co-Authors: 51 Co-Authors with 60 Joint Publications 2,728 Co-Co-Authors
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### Co-Authors

 5 single-authored 43 Shu, Chi-Wang 7 Jiang, Yan 5 Lu, Jianfang 4 Liu, Ruxun 4 Liu, Yingjie 4 Tadmor, Eitan 4 Xiong, Tao 3 Cheng, Yingda 3 Cheng, Ziqiang 3 Liu, Yuan 3 Wong, Sze Chun 2 Chen, Anqi 2 Clarkson, C. R. 2 Du, Jie 2 Fang, Jinwei 2 Jiao, Mengjiao 2 Lam, William H. K. 2 Li, Tingting 2 Liu, Qingyuan 2 Shen, Jun 2 Tan, Sirui 2 Yam, Sheung Chi Phillip 2 Yan, Jue 1 Anderson, W. A. 1 Barriga, Pablo J. 1 Baxevanis, Theocharis 1 Bensoussan, Alain 1 Blair, David G. 1 Blasques, Francisco 1 Cai, Wenchuan 1 Cao, Hongxing 1 Chen, Fei 1 Christlieb, Andrew J. 1 Clifton, Rodney J. 1 Davari, Asad 1 Davier, Michel 1 Deriche, Rachid 1 Ding, Shengrong 1 Duan, M. F. 1 Dunjko, Vanja 1 Fang, X. D. 1 Feng, Shiqiang 1 Gras, Slawek 1 Gursul, Ismet 1 Han, Xiangke 1 Hoecker, A. 1 Huang, Ling 1 Jasimuddin, Sajjad M. 1 Jiang, Yanqun 1 Jin, Guodong 1 Ju, Li 1 Katz, I. Norman 1 Kelkinnama, Maryam 1 Kitzler, M. 1 Koopman, Siem Jan 1 Li, Jun 1 Li, Yichen 1 Lilley, Geoffrey M. 1 Liu, Dayou 1 Liu, Shihao 1 Liu, Xiaoyuan 1 Lucido, L. 1 Malaescu, B. 1 Mallee, Max I. P. 1 Maxworthy, Tony 1 McDowell, David L. 1 Molchanov, Stanislav Alekseevich 1 Moo-Young, M. 1 Morin, Thomas L. 1 Mukai, Hiro 1 Noche, B. 1 Oakeshott, R. B. S. 1 Olshanii, Maxim 1 Opderbecke, J. 1 Pesquet-Popescu, Béatrice 1 Prevost, Jean-Herve 1 Privault, Nicolas 1 Qian, Zhonghua 1 Rhoma, F. 1 Rigaud, Vincent 1 Ruan, X. X. 1 Salous, Sana 1 Schättler, Heinz Michael 1 Shah, Mili I. 1 Song, Yongduan 1 Sorensen, Danny C. 1 Tao, Zhanjing 1 Wang, Ji 1 Wang, Jianqun 1 Wang, Jin 1 Wang, Kaipeng 1 Wang, Wei 1 Wang, Zhijin 1 Weisman, Dennis L. 1 Weng, Liguo 1 Wong, George C. K. 1 Wriggers, Willy 1 Xia, Yinhua 1 Xu, Shengli 1 Yang, Lin ...and 12 more Co-Authors
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### Serials

 8 Journal of Scientific Computing 6 Journal of Computational Physics 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Communications in Computational Physics 4 SIAM Journal on Scientific Computing 3 Computers and Fluids 3 Journal of Computational and Applied Mathematics 3 Journal of Optimization Theory and Applications 3 SIAM Journal on Numerical Analysis 3 Journal of Computational Mathematics 2 Journal of Fluid Mechanics 2 Journal of the Operational Research Society 2 International Journal of Production Research 2 Applied Numerical Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Applied Mathematical Modelling 2 Stochastic Processes and their Applications 2 Archive of Applied Mechanics 2 New Journal of Physics 2 Journal of University of Science and Technology of China 1 International Journal of Modern Physics B 1 Acta Mechanica 1 Analysis Mathematica 1 Classical and Quantum Gravity 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Engineering Science 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 International Journal for Numerical Methods in Fluids 1 International Journal of Plasticity 1 International Journal of Solids and Structures 1 International Journal of Systems Science 1 Journal of Mathematical Analysis and Applications 1 Metrika 1 Physica A 1 Wave Motion 1 Molecular Simulation 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 International Journal for Numerical Methods in Engineering 1 Journal of Econometrics 1 Mechanics Research Communications 1 Applied Mathematics and Mechanics. (English Edition) 1 Mathematics in Practice and Theory 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of China University of Science and Technology 1 Signal Processing 1 Economics Letters 1 Journal of Physics A: Mathematical and General 1 Chinese Science Bulletin 1 International Journal of Robust and Nonlinear Control 1 Mathematical Methods of Statistics 1 International Journal of Computer Vision 1 Methods and Applications of Analysis 1 Engineering Analysis with Boundary Elements 1 Journal of Applied Analysis 1 Soft Computing 1 Journal of Yangzhou University. Natural Science Edition 1 Journal of Modern Optics 1 The ANZIAM Journal 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Acta Mathematica Scientia. Series B. (English Edition) 1 International Journal of Numerical Analysis and Modeling 1 International Journal of Fracture 1 Quantum Information & Computation 1 Science China. Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Communications on Applied Mathematics and Computation
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### Fields

 55 Numerical analysis (65-XX) 29 Partial differential equations (35-XX) 23 Fluid mechanics (76-XX) 11 Operations research, mathematical programming (90-XX) 10 Mechanics of deformable solids (74-XX) 9 Biology and other natural sciences (92-XX) 8 Probability theory and stochastic processes (60-XX) 5 Statistics (62-XX) 5 Quantum theory (81-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Computer science (68-XX) 4 Systems theory; control (93-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

76 Publications have been cited 802 times in 486 Documents Cited by Year
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
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
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
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
An alternative formulation of finite difference weighted ENO schemes with Lax-Wendroff time discretization for conservation laws. Zbl 1266.65144
Jiang, Yan; Shu, Chi-Wang; Zhang, Mengping
2013
High order finite difference WENO schemes for nonlinear degenerate parabolic equations. Zbl 1227.65074
Liu, Yuanyuan; Shu, Chi-Wang; Zhang, Mengping
2011
A weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill–Whitham–Richards traffic flow model. Zbl 1041.90008
Zhang, Mengping; Shu, Chi-Wang; Wong, George C. K.; Wong, S. C.
2003
Central local discontinuous Galerkin methods on overlapping cells for diffusion equations. Zbl 1269.65098
Liu, Yingjie; Shu, Chi-Wang; Tadmor, Eitan; Zhang, Mengping
2011
Non-oscillatory hierarchical reconstruction for central and finite volume schemes. Zbl 1164.65456
Liu, Yingjie; Shu, Chiwang; Tadmor, Eitan; Zhang, Mengping
2007
Free-stream preserving finite difference schemes on curvilinear meshes. Zbl 1292.65091
Jiang, Yan; Shu, Chi-Wang; Zhang, Mengping
2014
Well-posedness of mean-field type forward-backward stochastic differential equations. Zbl 1327.60114
Bensoussan, A.; Yam, S. C. P.; Zhang, Z.
2015
Fast sweeping fifth order WENO scheme for static Hamilton-Jacobi equations with accurate boundary treatment. Zbl 1203.65155
Xiong, Tao; Zhang, Mengping; Zhang, Yong-Tao; Shu, Chi-Wang
2010
Numerical boundary conditions for the fast sweeping high order WENO methods for solving the eikonal equation. Zbl 1174.65043
Huang, Ling; Shu, Chiwang; Zhang, Mengping
2008
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
On the positivity of linear weights in WENO approximations. Zbl 1177.65126
Liu, Yuanyuan; Shu, Chiwang; Zhang, Mengping
2009
High resolution schemes for a hierarchical size-structured model. Zbl 1144.65059
Shen, Jun; Shu, Chi-Wang; Zhang, Mengping
2007
A unified approach for constrained extremum problems: image space analysis. Zbl 1288.90092
Li, Jun; Feng, Shi Qiang; Zhang, Z.
2013
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
Microstructure-based crystal plasticity modeling of cyclic deformation of Ti-6Al-4V. Zbl 1134.74349
Zhang, M.; Zhang, J.; McDowell, D. L.
2007
The complex variable reproducing kernel particle method for two-dimensional inverse heat conduction problems. Zbl 1297.65117
Weng, Y. J.; Zhang, Z.; Cheng, Y. M.
2014
Strong stability preserving property of the deferred correction time discretization. Zbl 1174.65036
Liu, Yuan; Shu, Chiwang; Zhang, Mengping
2008
Fourier type error analysis of the direct discontinuous Galerkin method and its variations for diffusion equations. Zbl 1255.65165
Zhang, Mengping; Yan, Jue
2012
An efficient discontinuous Galerkin method on triangular meshes for a pedestrian flow model. Zbl 1195.82004
Xia, Yinhua; Wong, S. C.; Zhang, Mengping; Shu, Chi-Wang; Lam, William H. K.
2008
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
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
The designing approach to difference schemes by controlling the remainder-effect. Zbl 0951.76060
Liu, Ruxun; Zhang, Mengping; Wang, Ji; Liu, Xiao-Yuan
1999
A high order WENO scheme for a hierarchical size-structured population model. Zbl 1130.65091
Shen, Jun; Shu, Chi-Wang; Zhang, Mengping
2007
WENO scheme with subcell resolution for computing nonconservative Euler equations with applications to one-dimensional compressible two-medium flows. Zbl 1383.76359
Xiong, Tao; Shu, Chi-Wang; Zhang, Mengping
2012
A reactive dynamic continuum user equilibrium model for bi-directional pedestrian flows. Zbl 1212.90078
Jiang, Yanqun; Xiong, Tao; Wong, S. C.; Shu, Chiwang; Zhang, Mengping; Zhang, Peng; Lam, William H. K.
2009
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
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
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
Superconvergence of energy-conserving discontinuous Galerkin methods for linear hyperbolic equations. Zbl 1449.65250
Liu, Yong; Shu, Chi-Wang; Zhang, Mengping
2019
The simulation of 3D unsteady incompressible flows with moving boundaries on unstructured meshes. Zbl 1237.76096
Zhang, Z.; Gil, A. J.; Hassan, O.; Morgan, K.
2008
Fourier type super convergence study on DDGIC and symmetric DDG methods. Zbl 1381.65085
Zhang, Mengping; Yan, Jue
2017
Superconvergence of ultra-weak discontinuous Galerkin methods for the linear Schrödinger equation in one dimension. Zbl 1440.65131
Chen, Anqi; Cheng, Yingda; Liu, Yong; Zhang, Mengping
2020
An efficient epistemic uncertainty analysis method using evidence theory. Zbl 1441.65010
Zhang, Z.; Ruan, X. X.; Duan, M. F.; Jiang, C.
2018
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
Capacity planning with reconfigurable kits in semiconductor test manufacturing. Zbl 1122.90344
Zhang, Z.; Zhang, M. T.; Niu, S.; Zheng, L.
2006
Simulation of hydraulic fracture propagation near a natural fracture using virtual multidimensional internal bonds. Zbl 1274.74437
Zhang, Z.; Ghassemi, A.
2011
Camera calibration with one-dimensional objects. Zbl 1039.68757
Zhang, Z.
2002
High order positivity-preserving finite volume WENO schemes for a hierarchical size-structured population model. Zbl 1231.65151
Zhang, Rui; Zhang, Mengping; Shu, Chi-Wang
2011
Stability analysis and a priori error estimate of explicit Runge-Kutta discontinuous Galerkin methods for correlated random walk with density-dependent turning rates. Zbl 1305.65209
Lu, Jianfang; Shu, Chi-Wang; Zhang, Mengping
2013
On the residual lifelengths of the remaining components in a coherent system. Zbl 06224851
Kelkin Nama, M.; Asadi, M.; Zhang, Z.
2013
A modified immersed finite volume element method for elliptic interface problems. Zbl 1451.65174
Wang, Q.; Zhang, Z.
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
Bandgap design of three-phase phononic crystal by topological optimization. Zbl 07312408
Han, X. K.; Zhang, Z.
2020
Do consumers benefit from tighter price cap regulation? Zbl 0953.91027
Kang, J.; Weisman, D. L.; Zhang, M.
2000
On joint stationary probability density function of nonlinear dynamic systems. Zbl 0917.60074
Zhang, Z.; Wang, R.; Yasuda, K.
1998
Solution of a differential game formulation of military air operations by the method of characteristics. Zbl 1097.91017
Katz, I. N.; Mukai, H.; Schättler, H.; Zhang, M.; Xu, M.
2005
Fourier analysis for discontinuous Galerkin and related methods. Zbl 1184.76762
Zhang, Mengping; Shu, Chi-Wang
2009
Complexity of the gravitational method for linear programming. Zbl 1016.90024
Morin, T. L.; Prabhu, N.; Zhang, Z.
2001
A theoretical model of the coherent structure of the turbulent boundary layer in zero pressure gradient. Zbl 0522.76053
Zhang, Z.; Lilley, G. M.
1982
Management decision-making in the single period optimum pricing problem. Zbl 1086.90522
Bell, P. C.; Zhang, M.
2006
Critical load for buckling of non-prismatic columns under self-weight and tip force. Zbl 1272.74214
Wei, D. J.; Yan, S. X.; Zhang, Z. P.; Li, X.-F.
2010
A priori error estimates for semi-discrete discontinuous Galerkin methods solving nonlinear Hamilton-Jacobi equations with smooth solutions. Zbl 1273.65127
Xiong, Tao; Shu, Chi-Wang; Zhang, Mengping
2013
Weighted maximum likelihood for dynamic factor analysis and forecasting with mixed frequency data. Zbl 1431.62587
Blasques, F.; Koopman, S. J.; Mallee, M.; Zhang, Z.
2016
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
Controllable subsystems of quantum dynamical systems. Zbl 1152.81832
Zhang, M.; Dai, H.-Y.; Dong, G.-H.; Xie, H.-W.; Hu, D.-W.
2007
An equivalent polynomial approximation technique in nonlinear structural dynamics. Zbl 0856.70016
Wang, R.; Kusumoto, S.; Zhang, Z.
1995
Exact stationary response solutions of nonlinear dynamic systems. Zbl 0845.70018
Wang, R.; Kusumoto, S.; Zhang, Z.
1996
Effect of packing method on the randomness of disc packings. Zbl 0904.52007
Zhang, Z. P.; Yu, A. B.; Oakeshott, R. B. S.
1996
On minimax inequality and generalized quasi-variational inequality in $$H$$-spaces. Zbl 0935.58011
Wu, X.; Zhang, Z.
1999
Error analysis of the MMSE estimator for multidimensional band-limited extrapolations from finite samples. Zbl 0788.94006
Xia, X.-G.; Zhang, Z.; Lo, C.
1994
Time-dependent crack behavior in an integrated structure. Zbl 1187.74188
Liang, J.; Zhang, Z.; Prévost, J. H.; Suo, Z.
2004
Radiation modeling of air phase corrugated plate photocatalytic reactor. Zbl 1035.92050
Zhang, Z.; Anderson, W. A.; Moo-Young, M.
2004
Dynamical behavior of the bright incoherent spatial solitons in self-defocusing nonlinear media. Zbl 1366.78012
Zhang, M.; Huo, G.; Duan, Z.
2016
Bounds for characteristic functions and Laplace transforms of probability distributions. Zbl 1260.60025
Zhang, Z.
2012
Sparse grid central discontinuous Galerkin method for linear hyperbolic systems in high dimensions. Zbl 1426.65148
Tao, Zhanjing; Chen, Anqi; Zhang, Mengping; Cheng, Yingda
2019
Poisson discretizations of Wiener functionals and Malliavin operators with Wasserstein estimates. Zbl 1479.60108
Privault, N.; Yam, S. C. P.; Zhang, Z.
2019
IB-WENO method for incompressible flow with elastic boundaries. Zbl 1461.76350
Cheng, Ziqiang; Liu, Yuan; Zhang, Mengping; Wang, Jin
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
Aerodynamics of a wing in turbulent bluff body wakes. Zbl 07483962
Zhang, Z.; Wang, Z.; Gursul, I.
2022
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
Sub-optimal convergence of discontinuous Galerkin methods with central fluxes for linear hyperbolic equations with even degree polynomial approximations. Zbl 07533065
Liu, Yong; Shu, Chi-Wang; Zhang, Mengping
2021
Aerodynamics of a wing in turbulent bluff body wakes. Zbl 07483962
Zhang, Z.; Wang, Z.; Gursul, I.
2022
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
Sub-optimal convergence of discontinuous Galerkin methods with central fluxes for linear hyperbolic equations with even degree polynomial approximations. Zbl 07533065
Liu, Yong; Shu, Chi-Wang; Zhang, Mengping
2021
Superconvergence of ultra-weak discontinuous Galerkin methods for the linear Schrödinger equation in one dimension. Zbl 1440.65131
Chen, Anqi; Cheng, Yingda; Liu, Yong; Zhang, Mengping
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
A modified immersed finite volume element method for elliptic interface problems. Zbl 1451.65174
Wang, Q.; Zhang, Z.
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
Bandgap design of three-phase phononic crystal by topological optimization. Zbl 07312408
Han, X. K.; Zhang, Z.
2020
Superconvergence of energy-conserving discontinuous Galerkin methods for linear hyperbolic equations. Zbl 1449.65250
Liu, Yong; Shu, Chi-Wang; Zhang, Mengping
2019
Sparse grid central discontinuous Galerkin method for linear hyperbolic systems in high dimensions. Zbl 1426.65148
Tao, Zhanjing; Chen, Anqi; Zhang, Mengping; Cheng, Yingda
2019
Poisson discretizations of Wiener functionals and Malliavin operators with Wasserstein estimates. Zbl 1479.60108
Privault, N.; Yam, S. C. P.; Zhang, Z.
2019
IB-WENO method for incompressible flow with elastic boundaries. Zbl 1461.76350
Cheng, Ziqiang; Liu, Yuan; Zhang, Mengping; Wang, Jin
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
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
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
An efficient epistemic uncertainty analysis method using evidence theory. Zbl 1441.65010
Zhang, Z.; Ruan, X. X.; Duan, M. F.; Jiang, C.
2018
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
Fourier type super convergence study on DDGIC and symmetric DDG methods. Zbl 1381.65085
Zhang, Mengping; Yan, Jue
2017
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
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
Weighted maximum likelihood for dynamic factor analysis and forecasting with mixed frequency data. Zbl 1431.62587
Blasques, F.; Koopman, S. J.; Mallee, M.; Zhang, Z.
2016
Dynamical behavior of the bright incoherent spatial solitons in self-defocusing nonlinear media. Zbl 1366.78012
Zhang, M.; Huo, G.; Duan, Z.
2016
Well-posedness of mean-field type forward-backward stochastic differential equations. Zbl 1327.60114
Bensoussan, A.; Yam, S. C. P.; Zhang, Z.
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
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
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
Free-stream preserving finite difference schemes on curvilinear meshes. Zbl 1292.65091
Jiang, Yan; Shu, Chi-Wang; Zhang, Mengping
2014
The complex variable reproducing kernel particle method for two-dimensional inverse heat conduction problems. Zbl 1297.65117
Weng, Y. J.; Zhang, Z.; Cheng, Y. M.
2014
An alternative formulation of finite difference weighted ENO schemes with Lax-Wendroff time discretization for conservation laws. Zbl 1266.65144
Jiang, Yan; Shu, Chi-Wang; Zhang, Mengping
2013
A unified approach for constrained extremum problems: image space analysis. Zbl 1288.90092
Li, Jun; Feng, Shi Qiang; Zhang, Z.
2013
Stability analysis and a priori error estimate of explicit Runge-Kutta discontinuous Galerkin methods for correlated random walk with density-dependent turning rates. Zbl 1305.65209
Lu, Jianfang; Shu, Chi-Wang; Zhang, Mengping
2013
On the residual lifelengths of the remaining components in a coherent system. Zbl 06224851
Kelkin Nama, M.; Asadi, M.; Zhang, Z.
2013
A priori error estimates for semi-discrete discontinuous Galerkin methods solving nonlinear Hamilton-Jacobi equations with smooth solutions. Zbl 1273.65127
Xiong, Tao; Shu, Chi-Wang; Zhang, Mengping
2013
Fourier type error analysis of the direct discontinuous Galerkin method and its variations for diffusion equations. Zbl 1255.65165
Zhang, Mengping; Yan, Jue
2012
WENO scheme with subcell resolution for computing nonconservative Euler equations with applications to one-dimensional compressible two-medium flows. Zbl 1383.76359
Xiong, Tao; Shu, Chi-Wang; Zhang, Mengping
2012
Bounds for characteristic functions and Laplace transforms of probability distributions. Zbl 1260.60025
Zhang, Z.
2012
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
High order finite difference WENO schemes for nonlinear degenerate parabolic equations. Zbl 1227.65074
Liu, Yuanyuan; Shu, Chi-Wang; Zhang, Mengping
2011
Central local discontinuous Galerkin methods on overlapping cells for diffusion equations. Zbl 1269.65098
Liu, Yingjie; Shu, Chi-Wang; Tadmor, Eitan; Zhang, Mengping
2011
Simulation of hydraulic fracture propagation near a natural fracture using virtual multidimensional internal bonds. Zbl 1274.74437
Zhang, Z.; Ghassemi, A.
2011
High order positivity-preserving finite volume WENO schemes for a hierarchical size-structured population model. Zbl 1231.65151
Zhang, Rui; Zhang, Mengping; Shu, Chi-Wang
2011
Fast sweeping fifth order WENO scheme for static Hamilton-Jacobi equations with accurate boundary treatment. Zbl 1203.65155
Xiong, Tao; Zhang, Mengping; Zhang, Yong-Tao; Shu, Chi-Wang
2010
Critical load for buckling of non-prismatic columns under self-weight and tip force. Zbl 1272.74214
Wei, D. J.; Yan, S. X.; Zhang, Z. P.; Li, X.-F.
2010
On the positivity of linear weights in WENO approximations. Zbl 1177.65126
Liu, Yuanyuan; Shu, Chiwang; Zhang, Mengping
2009
A reactive dynamic continuum user equilibrium model for bi-directional pedestrian flows. Zbl 1212.90078
Jiang, Yanqun; Xiong, Tao; Wong, S. C.; Shu, Chiwang; Zhang, Mengping; Zhang, Peng; Lam, William H. K.
2009
Fourier analysis for discontinuous Galerkin and related methods. Zbl 1184.76762
Zhang, Mengping; Shu, Chi-Wang
2009
$$L^{2}$$ 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
Numerical boundary conditions for the fast sweeping high order WENO methods for solving the eikonal equation. Zbl 1174.65043
Huang, Ling; Shu, Chiwang; Zhang, Mengping
2008
Strong stability preserving property of the deferred correction time discretization. Zbl 1174.65036
Liu, Yuan; Shu, Chiwang; Zhang, Mengping
2008
An efficient discontinuous Galerkin method on triangular meshes for a pedestrian flow model. Zbl 1195.82004
Xia, Yinhua; Wong, S. C.; Zhang, Mengping; Shu, Chi-Wang; Lam, William H. K.
2008
The simulation of 3D unsteady incompressible flows with moving boundaries on unstructured meshes. Zbl 1237.76096
Zhang, Z.; Gil, A. J.; Hassan, O.; Morgan, K.
2008
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
Non-oscillatory hierarchical reconstruction for central and finite volume schemes. Zbl 1164.65456
Liu, Yingjie; Shu, Chiwang; Tadmor, Eitan; Zhang, Mengping
2007
High resolution schemes for a hierarchical size-structured model. Zbl 1144.65059
Shen, Jun; Shu, Chi-Wang; Zhang, Mengping
2007
Microstructure-based crystal plasticity modeling of cyclic deformation of Ti-6Al-4V. Zbl 1134.74349
Zhang, M.; Zhang, J.; McDowell, D. L.
2007
A high order WENO scheme for a hierarchical size-structured population model. Zbl 1130.65091
Shen, Jun; Shu, Chi-Wang; Zhang, Mengping
2007
Controllable subsystems of quantum dynamical systems. Zbl 1152.81832
Zhang, M.; Dai, H.-Y.; Dong, G.-H.; Xie, H.-W.; Hu, D.-W.
2007
Capacity planning with reconfigurable kits in semiconductor test manufacturing. Zbl 1122.90344
Zhang, Z.; Zhang, M. T.; Niu, S.; Zheng, L.
2006
Management decision-making in the single period optimum pricing problem. Zbl 1086.90522
Bell, P. C.; Zhang, M.
2006
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
Solution of a differential game formulation of military air operations by the method of characteristics. Zbl 1097.91017
Katz, I. N.; Mukai, H.; Schättler, H.; Zhang, M.; Xu, M.
2005
Time-dependent crack behavior in an integrated structure. Zbl 1187.74188
Liang, J.; Zhang, Z.; Prévost, J. H.; Suo, Z.
2004
Radiation modeling of air phase corrugated plate photocatalytic reactor. Zbl 1035.92050
Zhang, Z.; Anderson, W. A.; Moo-Young, M.
2004
An analysis of three different formulations of the discontinuous Galerkin method for diffusion equations. Zbl 1050.65094
Zhang, Mengping; Shu, Chi-Wang
2003
A weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill–Whitham–Richards traffic flow model. Zbl 1041.90008
Zhang, Mengping; Shu, Chi-Wang; Wong, George C. K.; Wong, S. C.
2003
Camera calibration with one-dimensional objects. Zbl 1039.68757
Zhang, Z.
2002
Complexity of the gravitational method for linear programming. Zbl 1016.90024
Morin, T. L.; Prabhu, N.; Zhang, Z.
2001
Do consumers benefit from tighter price cap regulation? Zbl 0953.91027
Kang, J.; Weisman, D. L.; Zhang, M.
2000
The designing approach to difference schemes by controlling the remainder-effect. Zbl 0951.76060
Liu, Ruxun; Zhang, Mengping; Wang, Ji; Liu, Xiao-Yuan
1999
On minimax inequality and generalized quasi-variational inequality in $$H$$-spaces. Zbl 0935.58011
Wu, X.; Zhang, Z.
1999
On joint stationary probability density function of nonlinear dynamic systems. Zbl 0917.60074
Zhang, Z.; Wang, R.; Yasuda, K.
1998
Exact stationary response solutions of nonlinear dynamic systems. Zbl 0845.70018
Wang, R.; Kusumoto, S.; Zhang, Z.
1996
Effect of packing method on the randomness of disc packings. Zbl 0904.52007
Zhang, Z. P.; Yu, A. B.; Oakeshott, R. B. S.
1996
An equivalent polynomial approximation technique in nonlinear structural dynamics. Zbl 0856.70016
Wang, R.; Kusumoto, S.; Zhang, Z.
1995
Error analysis of the MMSE estimator for multidimensional band-limited extrapolations from finite samples. Zbl 0788.94006
Xia, X.-G.; Zhang, Z.; Lo, C.
1994
A theoretical model of the coherent structure of the turbulent boundary layer in zero pressure gradient. Zbl 0522.76053
Zhang, Z.; Lilley, G. M.
1982
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### Cited by 734 Authors

 53 Shu, Chi-Wang 27 Zhang, Mengping 16 Dumbser, Michael 11 Li, Maojun 10 Jiang, Yan 10 Mulet, Pep 9 Ackleh, Azmy S. 9 Bürger, Raimund 9 Christlieb, Andrew J. 9 Gao, Zhen 9 Liu, Yingjie 9 Qiu, Jianxian 9 Yan, Jue 8 Li, Fengyan 8 Li, Peng 8 Xiao, Feng 8 Xu, Kun 7 Don, Wai Sun 7 Tavelli, Maurizio 7 Wang, Baoshan 7 Xu, Liwei 6 Cheng, Yingda 6 Dong, Haiyun 6 Guo, Wei 6 Ji, Xing 6 Shyy, Wei 6 Wu, Kailiang 6 Xiong, Tao 6 Xu, Zhiliang 6 Yang, Yang 6 Zhang, Yongtao 5 Cheng, Jian 5 Deng, Xiaogang 5 Du, Jie 5 Gassner, Gregor J. 5 Jiang, Yanqun 5 Kurganov, Alexander 5 Lu, Jianfang 5 Sun, Dong 5 Tang, Huazhong 5 Wong, Sze Chun 5 Zhu, Jun 4 Bakhvalov, Pavel A. 4 Balsara, Dinshaw S. 4 Colominas, Ignasi 4 Donat, Rosa 4 He, Zerong 4 Hu, Guanghui 4 Kesserwani, Georges 4 Lee, Dongwook 4 Li, Jiequan 4 Li, Qin 4 Li, Ruo 4 Liu, Hailiang 4 Liu, Yuan 4 Qiu, Jingmei 4 Schütz, Jochen 4 Seal, David C. 4 Wang, Zhijian 4 Winters, Andrew R. 4 Xing, Yulong 4 Zhong, Xinghui 3 Aizinger, Vadym 3 Arbogast, Todd 3 Bai, Junqiang 3 Busto, Saray 3 Chen, Aimin 3 Cheng, Yongping 3 Cueto-Felgueroso, Luis 3 Deng, Keng 3 Deng, Weihua 3 Du, Zhifang 3 Gu, Yaguang 3 Huang, Chieh-Sen 3 Jerez, Silvia 3 Jiang, Zhenhua 3 Kannan, Ravishekar 3 Käppeli, Roger 3 Kozubskaya, Tatiana K. 3 Li, Shengtai 3 Li, Tingting 3 Liu, Pengxin 3 Liu, Qingyuan 3 Liu, Ruxun 3 Liu, Tiegang 3 Ma, Baoling 3 Martí, María Carmen 3 Nogueira, Xesús 3 Öffner, Philipp 3 Qu, Feng 3 Ren, Yupeng 3 Renac, Florent 3 Reyes, Adam 3 Ryan, Jennifer K. 3 Shi, Yufeng 3 Sun, Di 3 Wang, Haijin 3 Wang, Jin 3 Xia, Yinhua 3 Xu, Zhengfu ...and 634 more Authors
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### Cited in 78 Serials

 136 Journal of Computational Physics 75 Journal of Scientific Computing 29 Computers and Fluids 21 Communications in Computational Physics 16 Applied Mathematics and Computation 15 SIAM Journal on Scientific Computing 14 Journal of Computational and Applied Mathematics 13 Applied Numerical Mathematics 12 Computer Methods in Applied Mechanics and Engineering 11 Communications on Applied Mathematics and Computation 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Computers & Mathematics with Applications 8 SIAM Journal on Numerical Analysis 6 International Journal for Numerical Methods in Fluids 5 Mathematics of Computation 5 Numerical Methods for Partial Differential Equations 5 Applied Mathematical Modelling 5 Advances in Applied Mathematics and Mechanics 4 Communications in Numerical Methods in Engineering 4 International Journal of Numerical Analysis and Modeling 4 Mathematical Biosciences and Engineering 3 Mathematics and Computers in Simulation 3 Matematicheskoe Modelirovanie 3 Journal of Biological Dynamics 2 Computer Physics Communications 2 Journal of Engineering Mathematics 2 Physica A 2 International Journal for Numerical Methods in Engineering 2 Numerical Functional Analysis and Optimization 2 Computational Mechanics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Computational and Applied Mathematics 2 International Journal of Computational Fluid Dynamics 2 Communications in Nonlinear Science and Numerical Simulation 2 Computational Geosciences 2 International Journal of Modern Physics C 2 Archives of Computational Methods in Engineering 2 Journal of Applied Mathematics and Computing 2 International Journal of Biomathematics 1 International Journal of Modern Physics B 1 Classical and Quantum Gravity 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 BIT 1 Calcolo 1 Fuzzy Sets and Systems 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Kybernetes 1 Numerische Mathematik 1 SIAM Journal on Control and Optimization 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Journal of Computational Mathematics 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Chinese Science Bulletin 1 Journal of Mathematical Imaging and Vision 1 Journal of Difference Equations and Applications 1 Mathematical Problems in Engineering 1 Journal of Inequalities and Applications 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Journal of Numerical Mathematics 1 International Journal of Computational Methods 1 Journal of Hyperbolic Differential Equations 1 Acta Numerica 1 Advances in Difference Equations 1 Journal of Zhejiang University. Science A 1 Acta Mechanica Sinica 1 Numerical Mathematics: Theory, Methods and Applications 1 Iranian Journal of Mathematical Sciences and Informatics 1 Communications in Applied and Industrial Mathematics 1 Mathematical Sciences 1 International Journal of Applied and Computational Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition)
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### Cited in 29 Fields

 378 Numerical analysis (65-XX) 255 Fluid mechanics (76-XX) 209 Partial differential equations (35-XX) 29 Biology and other natural sciences (92-XX) 20 Operations research, mathematical programming (90-XX) 12 Mechanics of deformable solids (74-XX) 9 Geophysics (86-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Probability theory and stochastic processes (60-XX) 5 Computer science (68-XX) 5 Optics, electromagnetic theory (78-XX) 4 Approximations and expansions (41-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX)