## Ma, Heping

Compute Distance To:
 Author ID: ma.heping Published as: Ma, Heping; Ma, He-Ping; Ma, He-ping; Ma, He Ping; Ma, H. P.
 Documents Indexed: 128 Publications since 1986, including 1 Book 2 Contributions as Editor Co-Authors: 81 Co-Authors with 107 Joint Publications 2,679 Co-Co-Authors
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### Co-Authors

 6 single-authored 26 Guo, Ben-Yu 8 Li, Huiyuan 8 Sun, Weiwei 6 Qin, Yonghui 5 Li, Jingliang 5 Wu, Hua 5 Zhang, Zhongqiang 4 Liu, Steve Wenbin 4 Tang, Tao 4 Wang, Lilian 4 Yang, Yubo 4 Zhao, Tinggang 3 Deng, Zhenguo 3 Ji, Yuanyuan 3 Shen, Tingting 3 Tang, Jianguo 3 Zeng, Fanhai 2 Cao, Weiming 2 Chen, Lan 2 Chen, Lian 2 Chen, Siyi 2 Chernov, Nikolai Ivanovich 2 Guo, Benqi 2 He, Songnian 2 Huang, Qizhuo 2 Li, Jian 2 Li, Ruo 2 Liang, Dong 2 Liao, Huiqing 2 Niu, Cuixia 2 Ou, Qiuli 2 Zhang, Shuaiyin 1 Bai, Jingge 1 Baù, Giulio 1 Bracali Cioci, D. 1 Chen, Yanping 1 Cheng, Yumin 1 Deng, Fangfang 1 Fairweather, Graeme 1 Fan, Chun 1 Fang, Dandan 1 Fu, Ying 1 Gao, Jianguo 1 Gronchi, Giovanni-Federico 1 Guo, Wanli 1 Hou, Jingyu 1 Hu, Chaozhu 1 Hu, Yueling 1 Huang, Hui 1 Huang, Weizhang 1 Huang, Yunqing 1 Li, Hongwei 1 Li, Youyun 1 Liu, Liang 1 Liu, Yalin 1 Ma, Qiaozhen 1 Ouyang, Xiaohui 1 Qin, Qing-Hua 1 Qin, Tinghua 1 Ren, Guoqiang 1 Ruth, Douglas W. 1 Shen, Jie 1 Shen, Li 1 Sheng, Huili 1 Shu, Chi-Wang 1 Su, Li 1 Sun, Juan 1 Tadmor, Eitan 1 Wang, Chunli 1 Wang, Jianru 1 Wang, Renhong 1 Wang, Wenli 1 Wang, Xuemei 1 Wang, Zhenhua 1 Wong, Roderick Sue-Chuen 1 Wu, Yujiang 1 Xie, Lingling 1 Xing, Kang-Zheng 1 Yan, Ningning 1 Yang, Zheng 1 Yin, Xiangfeng 1 Yoshioka, Hidekatsu 1 Yuan, Qi 1 Zhang, Songshan 1 Zhang, Xingguang 1 Zhang, Yanyan 1 Zhang, Yuwen 1 Zhou, Fangfang
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### Serials

 12 SIAM Journal on Numerical Analysis 11 Communication on Applied Mathematics and Computation 7 Applied Numerical Mathematics 7 Numerical Methods for Partial Differential Equations 6 Journal of Shanghai University. Natural Science 5 Journal of Scientific Computing 5 Journal of Shanghai University 4 Journal on Numerical Methods and Computer Applications 4 Numerical Mathematics: Theory, Methods and Applications 3 IMA Journal of Numerical Analysis 3 Journal of Computational and Applied Mathematics 3 Journal of Computational Mathematics 3 Acta Mathematicae Applicatae Sinica. English Series 3 Journal of Shanghai University of Science and Technology 3 European Journal of Control 2 Journal of Computational Physics 2 Applied Mathematics and Computation 2 Mathematica Numerica Sinica 2 Applied Mathematics and Mechanics. (English Edition) 2 Computational Mechanics 2 International Journal of Computer Mathematics 2 Advances in Computational Mathematics 2 Discrete Dynamics in Nature and Society 2 Asian Journal of Control 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 International Journal of Control 1 Calcolo 1 IEEE Transactions on Automatic Control 1 SIAM Journal on Control and Optimization 1 Journal of Mathematical Research & Exposition 1 Chinese Annals of Mathematics. Series B 1 International Journal of Production Research 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Northeastern Mathematical Journal 1 Applied Mathematics Letters 1 Mathematica Applicata 1 Journal of Hydrodynamics 1 Celestial Mechanics and Dynamical Astronomy 1 Applied Mathematics. Series B (English Edition) 1 Journal of Applied Statistics 1 Journal of Modern Optics 1 Journal of Northwest Normal University. Natural Science 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Acta Mathematica Scientia. Series B. (English Edition) 1 International Journal of Numerical Analysis and Modeling 1 Series in Machine Perception and Artificial Intelligence 1 Journal of Mathematics 1 ISRN Probability and Statistics 1 East Asian Journal on Applied Mathematics 1 AIMS Mathematics 1 Communications on Applied Mathematics and Computation
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### Fields

 101 Numerical analysis (65-XX) 67 Partial differential equations (35-XX) 21 Fluid mechanics (76-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 8 Optics, electromagnetic theory (78-XX) 7 Probability theory and stochastic processes (60-XX) 6 Ordinary differential equations (34-XX) 6 Systems theory; control (93-XX) 4 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

88 Publications have been cited 808 times in 543 Documents Cited by Year
Adaptive finite element approximation for distributed elliptic optimal control problems. Zbl 1034.49031
Li, Ruo; Liu, Wenbin; Ma, Heping; Tang, Tao
2002
Optimal error estimates of the Legendre-Petrov-Galerkin method for the Korteweg-de Vries equation. Zbl 1008.65070
Ma, Heping; Sun, Weiwei
2001
A Legendre–Petrov–Galerkin and Chebyshev collocation method for third-order differential equations. Zbl 0986.65095
Ma, Heping; Sun, Weiwei
2000
A posteriori error estimates for discontinuous Galerkin time-stepping method for optimal control problems governed by parabolic equations. Zbl 1085.65054
Liu, Wenbin; Ma, Heping; Tang, Tao; Yan, Ningning
2004
Hermite spectral methods with a time-dependent scaling for parabolic equations in unbounded domains. Zbl 1087.65097
Ma, Heping; Sun, Weiwei; Tang, Tao
2005
Chebyshev-Legendre super spectral viscosity method for nonlinear conservation laws. Zbl 0912.35105
Ma, Heping
1998
Chebyshev-Legendre spectral viscosity method for nonlinear conservation laws. Zbl 0912.35104
Ma, Heping
1998
Spectral vanishing viscosity method for nonlinear conservation laws. Zbl 1020.65071
Guo, Ben-yu; Ma, He-ping; Tadmor, Eitan
2001
Optimal error estimates of the Chebyshev-Legendre spectral method for solving the generalized Burgers equation. Zbl 1050.65083
Wu, Hua; Ma, Heping; Li, Huiyuan
2003
Single and multi-interval Legendre $$\tau$$-methods in time for parabolic equations. Zbl 1002.65111
Tang, Jianguo; Ma, Heping
2002
A stabilized Hermite spectral method for second-order differential equations in unbounded domains. Zbl 1131.65089
Ma, Heping; Zhao, Tinggang
2007
Order-preserving strong schemes for SDEs with locally Lipschitz coefficients. Zbl 1354.65017
Zhang, Zhongqiang; Ma, Heping
2017
The complex variable reproducing kernel particle method for the analysis of Kirchhoff plates. Zbl 1311.74154
Chen, L.; Cheng, Yu Min; Ma, He Ping
2015
Composite Legendre-Laguerre approximation in unbounded domains. Zbl 0980.65135
Guo, Benyu; Ma, Heping
2001
A Legendre spectral method in time for first-order hyperbolic equations. Zbl 1175.65121
Tang, Jianguo; Ma, Heping
2007
The Fourier-Chebyshev spectral method for solving two-dimensional unsteady vorticity equations. Zbl 0757.76047
Guo, Benyu; Ma, Heping; Cao, Weiming; Huang, Hui
1992
The Chebyshev-Legendre collocation method for a class of optimal control problems. Zbl 1159.49039
Zhang, Wen; Ma, Heping
2008
Convergence analysis of spectral collocation methods for a singular differential equation. Zbl 1058.65076
Huang, Weizhang; Ma, Heping; Sun, Weiwei
2003
The Chebyshev spectral method for Burgers-like equations. Zbl 0641.65084
Ma, Heping; Guo, Benyu
1988
Legendre spectral Galerkin method for electromagnetic scattering from large cavities. Zbl 1285.78002
Li, Huiyuan; Ma, Heping; Sun, Weiwei
2013
Orthogonal spline collocation methods for the stream function-vorticity formulation of the Navier-Stokes equations. Zbl 1168.76037
Fairweather, Graeme; Ma, Heping; Sun, Weiwei
2008
The Legendre Galerkin-Chebyshev collocation method for Burgers-like equations. Zbl 1020.65072
Li, Huiyuan; Wu, Hua; Ma, Heping
2003
The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation. Zbl 0589.65077
Ma, Heping; Guo, Benyu
1986
Combined finite element and pseudospectral method for the two-dimensional evolutionary Navier–Stokes equations. Zbl 0778.76051
Guo, Benyu; Ma, Heping
1993
Maximum principle for partially observed risk-sensitive optimal control problems of mean-field type. Zbl 1355.93213
Ma, Heping; Liu, Bin
2016
Exact controllability and continuous dependence of fractional neutral integro-differential equations with state-dependent delay. Zbl 1389.34241
Ma, Heping; Liu, Bin
2017
Jacobi spectral collocation method for the time variable-order fractional mobile-immobile advection-dispersion solute transport model. Zbl 06797027
Ma, Heping; Yang, Yubo
2016
Composite Legendre-Laguerre pseudospectral approximation in unbounded domains. Zbl 0993.65106
Ma, Heping; Guo, Benyu
2001
Single and multi-interval Legendre spectral methods in time for parabolic equations. Zbl 1103.65107
Tang, Jianguo; Ma, Heping
2006
Approximate solution of the Sturm-Liouville problems with Legendre-Galerkin-Chebyshev collocation method. Zbl 1157.65431
Chen, Lan; Ma, He-Ping
2008
Linear-quadratic optimal control problem for partially observed forward-backward stochastic differential equations of mean-field type. Zbl 1354.93174
Ma, Heping; Liu, Bin
2016
An efficient Chebyshev algorithm for the solution of optimal control problems. Zbl 1368.49036
Ma, Heping; Qin, Tinghua; Zhang, Wen
2011
Optimal error estimates of the Fourier spectral method for a class of nonlocal, nonlinear dispersive wave equations. Zbl 1167.65051
Deng, Zhenguo; Ma, Heping
2009
A Legendre Petrov-Galerkin method for fourth-order differential equations. Zbl 1207.65142
Shen, Ting-Ting; Xing, Kang-Zheng; Ma, He-Ping
2011
The Fourier pseudospectral method for two-dimensional vorticity equations. Zbl 0607.76019
Ma, Heping; Guo, Benyu
1987
A new spectral method on triangles. Zbl 1216.65169
Li, Youyun; Wang, Li-Lian; Li, Huiyuan; Ma, Heping
2011
Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method. Zbl 0964.65100
Li, Jian; Ma, Heping; Sun, Weiwei
2000
Infinite horizon optimal control problem of mean-field backward stochastic delay differential equation under partial information. Zbl 06921130
Ma, Heping; Liu, Bin
2017
Energy-conserved splitting spectral methods for two dimensional Maxwell’s equations. Zbl 1293.78014
Zeng, Fanhai; Ma, Heping; Liang, Dong
2014
Uniform convergence of the Legendre spectral method for the Zakharov equations. Zbl 1364.76147
Ji, Yuanyuan; Ma, Heping
2013
Multidomain pseudospectral methods for nonlinear convection-diffusion equations. Zbl 1237.65112
Ji, Yuan-yuan; Wu, Hua; Ma, He-ping; Guo, Ben-yu
2011
Error estimate of the Fourier collocation method for the Benjamin-Ono equation. Zbl 1212.65395
Deng, Zhenguo; Ma, Heping
2009
Error analysis of Chebyshev-Legendre pseudo-spectral method for a class of nonclassical parabolic equation. Zbl 1255.65185
Zhao, Tinggang; Wu, Yujiang; Ma, Heping
2012
A new scheme for vorticity computations near a sharp corner. Zbl 0800.76277
Ma, H.; Ruth, D. W.
1994
Optimal control of mean-field jump-diffusion systems with noisy memory. Zbl 1417.49025
Ma, Heping; Liu, Bin
2019
The Fourier pseudospectral method for three-dimensional vorticity equations. Zbl 0691.35081
Guo, Benyu; Ma, Heping
1988
On mixed error estimates for elliptic obstacle problems. Zbl 0996.65113
Liu, Wenbin; Ma, Heping; Tang, Tao
2001
Chebyshev-Legendre method for discretizing optimal control problems. Zbl 1212.65257
Zhang, Wen; Ma, Heping
2009
An alternating direction implicit Legendre spectral element method for the Schrödinger equation. Zbl 1265.65215
Zeng, Fanhai; Ma, Heping; Zhao, Tinggang
2011
Multidomain Legendre-Galerkin Chebyshev-collocation method for one-dimensional evolution equations with discontinuity. Zbl 1353.65107
Ma, Heping; Qin, Yonghui; Ou, Qiuli
2017
Optimal control problem for risk-sensitive Mean-field stochastic delay differential equation with partial information. Zbl 1386.93311
Ma, Heping; Liu, Bin
2017
A pseudospectral finite-element method for solving two-dimensional vorticity equations. Zbl 0723.76058
Guo, Ben-Yu; Ma, He-Ping
1991
A rational spectral method for the KdV equation on the half line. Zbl 1176.65117
Zhang, Zhong-Qiang; Ma, He-Ping
2009
Wavelet theory and its application to pattern recognition. Zbl 0969.68133
Tang, Y. Y.; Yang, L. H.; Liu, J.; Ma, H.
2000
Infinite horizon optimal control of mean-field forward-backward delayed systems with Poisson jumps. Zbl 1412.93096
Ma, Heping
2019
Does the best-fitting curve always exist? Zbl 1398.62178
Chernov, N.; Huang, Q.; Ma, H.
2012
Boundary integral equation supported differential quadrature method to solve problems over general irregular geometries. Zbl 1109.76350
Ma, H.; Qin, Q.-H.
2005
Optimal error estimates of multi-symplectic Fourier pseudospectral method for nonlinear Schrödinger equation. Zbl 1212.65349
Guo, Wanli; Zhang, Zhongqiang; Ma, Heping
2009
Preface. Current trends and progresses in scientific computation – dedicated to Professor Ben-yu Guo on his 70th birthday. Zbl 1293.00015
2014
Moving mesh method with error-estimator-based monitor and its applications to static obstacle problem. Zbl 1064.65050
Li, R.; Liu, W. B.; Ma, H. P.
2004
Fourier-Chebyshev spectral method for solving three-dimensional vorticity equation. Zbl 0831.76066
Guo, Benyu; Li, Jian; Ma, Heping
1995
The Legendre Galerkin Chebyshev collocation least squares for the elliptic problem. Zbl 1354.65259
Qin, Yonghui; Li, Jingliang; Ma, Heping
2016
Combined finite element and pseudospectral method for the three- dimensional Navier-Stokes equations. Zbl 0811.76038
Ma, Heping; Guo, Benyu
1992
Legendre-tau-Galerkin and spectral collocation method for nonlinear evolution equations. Zbl 1436.65149
Qin, Yonghui; Ma, Heping
2020
The Legendre Galerkin-Chebyshev collocation method for space fractional Burgers-like equations. Zbl 1424.65197
Yang, Yubo; Ma, Heping
2018
Strict error estimation for a spectral method of compressible fluid flow. Zbl 0668.76072
Guo, Benyu; Ma, Heping
1987
Combined finite element and pseudospectral method for three-dimensional vorticity equations. Zbl 0709.76082
Ma, Heping; Guo, Benyu
1990
Optimal error estimates for Fourier spectral approximation of the generalized KdV equation. Zbl 1187.65106
Deng, Zhen-guo; Ma, He-ping
2009
Optimal error estimates of the Legendre tau method for second-order differential equations. Zbl 1203.65118
Shen, Ting-Ting; Zhang, Zhong-Qiang; Ma, He-Ping
2010
The Legendre spectral method for initial-boundary value problems of Klein-Gordon-Zakharov equations. Zbl 1274.65283
Zhang, Songshan; Chen, Siyi; Ma, Heping
2012
Fourier pseudo-spectral method for Burgers equation. Zbl 0675.35071
Guo, Benyu; Ma, Heping
1986
The Chebyshev-Legendre pseudospectral method for solving the linear-quadratic optimal control problems. Zbl 1199.65222
Zhang, Wen; Ma, Heping
2009
Spectral method for second-order nonlinear evolution equations with variable coefficients. Zbl 1240.65305
Deng, Fangfang; Ma, Heping; Zeng, Fanhai
2010
The Legendre triangle spectral element method for elliptic equations. Zbl 1265.65245
Zhang, Shuaiyin; Ma, Heping; Wang, Lilian
2012
A coupled Legendre Petrov-Galerkin and collocation method for the generalized Korteweg-de Vries equations. Zbl 1069.65108
Ma, Heping; Sun, Weiwei
2003
Chebyshev pseudospectral-hybrid finite element method for two-dimensional vorticity equation. Zbl 0869.76039
Guo, Benyu; Ma, Heping; Hou, Jingyu
1996
Shifted Chebyshev collocation domain truncation for solving problems on an infinite interval. Zbl 1024.65095
Li, Huiyuan; Ma, Heping
2003
Preliminary orbits with line-of-sight correction for LEO satellites observed with radar. Zbl 1448.70067
Ma, H.; Baù, Giulio; Bracali Cioci, D.; Gronchi, G. F.
2018
Space-time spectral method for parabolic inverse problem with unknown control parameter. Zbl 1463.65274
Liu, Liang; Ma, Heping
2020
Global stability of positive periodic solutions and almost periodic solutions for a discrete competitive system. Zbl 1418.92119
Ma, Heping; Gao, Jianguo; Xie, Lingling
2015
A new Fourier pseudospectral method. Zbl 0672.65097
Guo, Benyu; Ma, Heping; Cao, Weiming
1986
Chebyshev-Legendre spectral method for solving the two-dimensional vorticity equations with homogeneous Dirichlet conditions. Zbl 1162.76041
Wu, Hua; Ma, Heping; Li, Huiyuan
2009
A triangular spectral element method for elliptic and Stokes problems. Zbl 1426.65190
Li, Jingliang; Ma, Heping; Li, Huiyuan
2018
The Chebyshev spectral method with a restraint operator for Burgers equation. Zbl 0815.65117
Ma, Heping; Guo, Benyu
1994
A spectral method for triangular prism. Zbl 1462.65213
Li, Jingliang; Ma, Heping; Qin, Yonghui; Zhang, Shuaiyin
2018
The Legendre Galerkin-Chebyshev collocation method for generalized space-fractional Burgers equations. Zbl 1399.65285
Yang, Yubo; Ma, Heping
2017
Spectral element methods on hybrid triangular and quadrilateral meshes. Zbl 1416.65480
Li, Jingliang; Ma, Heping; Wang, Li-Lian; Wu, Hua
2018
Multidomain Legendre tau method for the 1-D Maxwell equation with discontinuous solutions. Zbl 1438.65249
Fang, Dandan; Ma, Heping
2018
Legendre-tau-Galerkin and spectral collocation method for nonlinear evolution equations. Zbl 1436.65149
Qin, Yonghui; Ma, Heping
2020
Space-time spectral method for parabolic inverse problem with unknown control parameter. Zbl 1463.65274
Liu, Liang; Ma, Heping
2020
Optimal control of mean-field jump-diffusion systems with noisy memory. Zbl 1417.49025
Ma, Heping; Liu, Bin
2019
Infinite horizon optimal control of mean-field forward-backward delayed systems with Poisson jumps. Zbl 1412.93096
Ma, Heping
2019
The Legendre Galerkin-Chebyshev collocation method for space fractional Burgers-like equations. Zbl 1424.65197
Yang, Yubo; Ma, Heping
2018
Preliminary orbits with line-of-sight correction for LEO satellites observed with radar. Zbl 1448.70067
Ma, H.; Baù, Giulio; Bracali Cioci, D.; Gronchi, G. F.
2018
A triangular spectral element method for elliptic and Stokes problems. Zbl 1426.65190
Li, Jingliang; Ma, Heping; Li, Huiyuan
2018
A spectral method for triangular prism. Zbl 1462.65213
Li, Jingliang; Ma, Heping; Qin, Yonghui; Zhang, Shuaiyin
2018
Spectral element methods on hybrid triangular and quadrilateral meshes. Zbl 1416.65480
Li, Jingliang; Ma, Heping; Wang, Li-Lian; Wu, Hua
2018
Multidomain Legendre tau method for the 1-D Maxwell equation with discontinuous solutions. Zbl 1438.65249
Fang, Dandan; Ma, Heping
2018
Order-preserving strong schemes for SDEs with locally Lipschitz coefficients. Zbl 1354.65017
Zhang, Zhongqiang; Ma, Heping
2017
Exact controllability and continuous dependence of fractional neutral integro-differential equations with state-dependent delay. Zbl 1389.34241
Ma, Heping; Liu, Bin
2017
Infinite horizon optimal control problem of mean-field backward stochastic delay differential equation under partial information. Zbl 06921130
Ma, Heping; Liu, Bin
2017
Multidomain Legendre-Galerkin Chebyshev-collocation method for one-dimensional evolution equations with discontinuity. Zbl 1353.65107
Ma, Heping; Qin, Yonghui; Ou, Qiuli
2017
Optimal control problem for risk-sensitive Mean-field stochastic delay differential equation with partial information. Zbl 1386.93311
Ma, Heping; Liu, Bin
2017
The Legendre Galerkin-Chebyshev collocation method for generalized space-fractional Burgers equations. Zbl 1399.65285
Yang, Yubo; Ma, Heping
2017
Maximum principle for partially observed risk-sensitive optimal control problems of mean-field type. Zbl 1355.93213
Ma, Heping; Liu, Bin
2016
Jacobi spectral collocation method for the time variable-order fractional mobile-immobile advection-dispersion solute transport model. Zbl 06797027
Ma, Heping; Yang, Yubo
2016
Linear-quadratic optimal control problem for partially observed forward-backward stochastic differential equations of mean-field type. Zbl 1354.93174
Ma, Heping; Liu, Bin
2016
The Legendre Galerkin Chebyshev collocation least squares for the elliptic problem. Zbl 1354.65259
Qin, Yonghui; Li, Jingliang; Ma, Heping
2016
The complex variable reproducing kernel particle method for the analysis of Kirchhoff plates. Zbl 1311.74154
Chen, L.; Cheng, Yu Min; Ma, He Ping
2015
Global stability of positive periodic solutions and almost periodic solutions for a discrete competitive system. Zbl 1418.92119
Ma, Heping; Gao, Jianguo; Xie, Lingling
2015
Energy-conserved splitting spectral methods for two dimensional Maxwell’s equations. Zbl 1293.78014
Zeng, Fanhai; Ma, Heping; Liang, Dong
2014
Preface. Current trends and progresses in scientific computation – dedicated to Professor Ben-yu Guo on his 70th birthday. Zbl 1293.00015
2014
Legendre spectral Galerkin method for electromagnetic scattering from large cavities. Zbl 1285.78002
Li, Huiyuan; Ma, Heping; Sun, Weiwei
2013
Uniform convergence of the Legendre spectral method for the Zakharov equations. Zbl 1364.76147
Ji, Yuanyuan; Ma, Heping
2013
Error analysis of Chebyshev-Legendre pseudo-spectral method for a class of nonclassical parabolic equation. Zbl 1255.65185
Zhao, Tinggang; Wu, Yujiang; Ma, Heping
2012
Does the best-fitting curve always exist? Zbl 1398.62178
Chernov, N.; Huang, Q.; Ma, H.
2012
The Legendre spectral method for initial-boundary value problems of Klein-Gordon-Zakharov equations. Zbl 1274.65283
Zhang, Songshan; Chen, Siyi; Ma, Heping
2012
The Legendre triangle spectral element method for elliptic equations. Zbl 1265.65245
Zhang, Shuaiyin; Ma, Heping; Wang, Lilian
2012
An efficient Chebyshev algorithm for the solution of optimal control problems. Zbl 1368.49036
Ma, Heping; Qin, Tinghua; Zhang, Wen
2011
A Legendre Petrov-Galerkin method for fourth-order differential equations. Zbl 1207.65142
Shen, Ting-Ting; Xing, Kang-Zheng; Ma, He-Ping
2011
A new spectral method on triangles. Zbl 1216.65169
Li, Youyun; Wang, Li-Lian; Li, Huiyuan; Ma, Heping
2011
Multidomain pseudospectral methods for nonlinear convection-diffusion equations. Zbl 1237.65112
Ji, Yuan-yuan; Wu, Hua; Ma, He-ping; Guo, Ben-yu
2011
An alternating direction implicit Legendre spectral element method for the Schrödinger equation. Zbl 1265.65215
Zeng, Fanhai; Ma, Heping; Zhao, Tinggang
2011
Optimal error estimates of the Legendre tau method for second-order differential equations. Zbl 1203.65118
Shen, Ting-Ting; Zhang, Zhong-Qiang; Ma, He-Ping
2010
Spectral method for second-order nonlinear evolution equations with variable coefficients. Zbl 1240.65305
Deng, Fangfang; Ma, Heping; Zeng, Fanhai
2010
Optimal error estimates of the Fourier spectral method for a class of nonlocal, nonlinear dispersive wave equations. Zbl 1167.65051
Deng, Zhenguo; Ma, Heping
2009
Error estimate of the Fourier collocation method for the Benjamin-Ono equation. Zbl 1212.65395
Deng, Zhenguo; Ma, Heping
2009
Chebyshev-Legendre method for discretizing optimal control problems. Zbl 1212.65257
Zhang, Wen; Ma, Heping
2009
A rational spectral method for the KdV equation on the half line. Zbl 1176.65117
Zhang, Zhong-Qiang; Ma, He-Ping
2009
Optimal error estimates of multi-symplectic Fourier pseudospectral method for nonlinear Schrödinger equation. Zbl 1212.65349
Guo, Wanli; Zhang, Zhongqiang; Ma, Heping
2009
Optimal error estimates for Fourier spectral approximation of the generalized KdV equation. Zbl 1187.65106
Deng, Zhen-guo; Ma, He-ping
2009
The Chebyshev-Legendre pseudospectral method for solving the linear-quadratic optimal control problems. Zbl 1199.65222
Zhang, Wen; Ma, Heping
2009
Chebyshev-Legendre spectral method for solving the two-dimensional vorticity equations with homogeneous Dirichlet conditions. Zbl 1162.76041
Wu, Hua; Ma, Heping; Li, Huiyuan
2009
The Chebyshev-Legendre collocation method for a class of optimal control problems. Zbl 1159.49039
Zhang, Wen; Ma, Heping
2008
Orthogonal spline collocation methods for the stream function-vorticity formulation of the Navier-Stokes equations. Zbl 1168.76037
Fairweather, Graeme; Ma, Heping; Sun, Weiwei
2008
Approximate solution of the Sturm-Liouville problems with Legendre-Galerkin-Chebyshev collocation method. Zbl 1157.65431
Chen, Lan; Ma, He-Ping
2008
A stabilized Hermite spectral method for second-order differential equations in unbounded domains. Zbl 1131.65089
Ma, Heping; Zhao, Tinggang
2007
A Legendre spectral method in time for first-order hyperbolic equations. Zbl 1175.65121
Tang, Jianguo; Ma, Heping
2007
Single and multi-interval Legendre spectral methods in time for parabolic equations. Zbl 1103.65107
Tang, Jianguo; Ma, Heping
2006
Hermite spectral methods with a time-dependent scaling for parabolic equations in unbounded domains. Zbl 1087.65097
Ma, Heping; Sun, Weiwei; Tang, Tao
2005
Boundary integral equation supported differential quadrature method to solve problems over general irregular geometries. Zbl 1109.76350
Ma, H.; Qin, Q.-H.
2005
A posteriori error estimates for discontinuous Galerkin time-stepping method for optimal control problems governed by parabolic equations. Zbl 1085.65054
Liu, Wenbin; Ma, Heping; Tang, Tao; Yan, Ningning
2004
Moving mesh method with error-estimator-based monitor and its applications to static obstacle problem. Zbl 1064.65050
Li, R.; Liu, W. B.; Ma, H. P.
2004
Optimal error estimates of the Chebyshev-Legendre spectral method for solving the generalized Burgers equation. Zbl 1050.65083
Wu, Hua; Ma, Heping; Li, Huiyuan
2003
Convergence analysis of spectral collocation methods for a singular differential equation. Zbl 1058.65076
Huang, Weizhang; Ma, Heping; Sun, Weiwei
2003
The Legendre Galerkin-Chebyshev collocation method for Burgers-like equations. Zbl 1020.65072
Li, Huiyuan; Wu, Hua; Ma, Heping
2003
A coupled Legendre Petrov-Galerkin and collocation method for the generalized Korteweg-de Vries equations. Zbl 1069.65108
Ma, Heping; Sun, Weiwei
2003
Shifted Chebyshev collocation domain truncation for solving problems on an infinite interval. Zbl 1024.65095
Li, Huiyuan; Ma, Heping
2003
Adaptive finite element approximation for distributed elliptic optimal control problems. Zbl 1034.49031
Li, Ruo; Liu, Wenbin; Ma, Heping; Tang, Tao
2002
Single and multi-interval Legendre $$\tau$$-methods in time for parabolic equations. Zbl 1002.65111
Tang, Jianguo; Ma, Heping
2002
Optimal error estimates of the Legendre-Petrov-Galerkin method for the Korteweg-de Vries equation. Zbl 1008.65070
Ma, Heping; Sun, Weiwei
2001
Spectral vanishing viscosity method for nonlinear conservation laws. Zbl 1020.65071
Guo, Ben-yu; Ma, He-ping; Tadmor, Eitan
2001
Composite Legendre-Laguerre approximation in unbounded domains. Zbl 0980.65135
Guo, Benyu; Ma, Heping
2001
Composite Legendre-Laguerre pseudospectral approximation in unbounded domains. Zbl 0993.65106
Ma, Heping; Guo, Benyu
2001
On mixed error estimates for elliptic obstacle problems. Zbl 0996.65113
Liu, Wenbin; Ma, Heping; Tang, Tao
2001
A Legendre–Petrov–Galerkin and Chebyshev collocation method for third-order differential equations. Zbl 0986.65095
Ma, Heping; Sun, Weiwei
2000
Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method. Zbl 0964.65100
Li, Jian; Ma, Heping; Sun, Weiwei
2000
Wavelet theory and its application to pattern recognition. Zbl 0969.68133
Tang, Y. Y.; Yang, L. H.; Liu, J.; Ma, H.
2000
Chebyshev-Legendre super spectral viscosity method for nonlinear conservation laws. Zbl 0912.35105
Ma, Heping
1998
Chebyshev-Legendre spectral viscosity method for nonlinear conservation laws. Zbl 0912.35104
Ma, Heping
1998
Chebyshev pseudospectral-hybrid finite element method for two-dimensional vorticity equation. Zbl 0869.76039
Guo, Benyu; Ma, Heping; Hou, Jingyu
1996
Fourier-Chebyshev spectral method for solving three-dimensional vorticity equation. Zbl 0831.76066
Guo, Benyu; Li, Jian; Ma, Heping
1995
A new scheme for vorticity computations near a sharp corner. Zbl 0800.76277
Ma, H.; Ruth, D. W.
1994
The Chebyshev spectral method with a restraint operator for Burgers equation. Zbl 0815.65117
Ma, Heping; Guo, Benyu
1994
Combined finite element and pseudospectral method for the two-dimensional evolutionary Navier–Stokes equations. Zbl 0778.76051
Guo, Benyu; Ma, Heping
1993
The Fourier-Chebyshev spectral method for solving two-dimensional unsteady vorticity equations. Zbl 0757.76047
Guo, Benyu; Ma, Heping; Cao, Weiming; Huang, Hui
1992
Combined finite element and pseudospectral method for the three- dimensional Navier-Stokes equations. Zbl 0811.76038
Ma, Heping; Guo, Benyu
1992
A pseudospectral finite-element method for solving two-dimensional vorticity equations. Zbl 0723.76058
Guo, Ben-Yu; Ma, He-Ping
1991
Combined finite element and pseudospectral method for three-dimensional vorticity equations. Zbl 0709.76082
Ma, Heping; Guo, Benyu
1990
The Chebyshev spectral method for Burgers-like equations. Zbl 0641.65084
Ma, Heping; Guo, Benyu
1988
The Fourier pseudospectral method for three-dimensional vorticity equations. Zbl 0691.35081
Guo, Benyu; Ma, Heping
1988
The Fourier pseudospectral method for two-dimensional vorticity equations. Zbl 0607.76019
Ma, Heping; Guo, Benyu
1987
Strict error estimation for a spectral method of compressible fluid flow. Zbl 0668.76072
Guo, Benyu; Ma, Heping
1987
The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation. Zbl 0589.65077
Ma, Heping; Guo, Benyu
1986
Fourier pseudo-spectral method for Burgers equation. Zbl 0675.35071
Guo, Benyu; Ma, Heping
1986
A new Fourier pseudospectral method. Zbl 0672.65097
Guo, Benyu; Ma, Heping; Cao, Weiming
1986
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### Cited by 705 Authors

 37 Guo, Ben-Yu 33 Ma, Heping 27 Chen, Yanping 17 Lu, Zuliang 15 Hou, Tianliang 11 Wang, Tianjun 11 Wang, Zhongqing 10 Li, Huiyuan 9 Dehghan Takht Fooladi, Mehdi 9 Liu, Steve Wenbin 9 Wang, Lilian 8 Yan, Ningning 8 Zhang, Chao 7 Doha, Eid H. 7 He, Yinnian 7 Huang, Yunqing 7 Jiang, Xiaoyun 7 Leng, Haitao 7 Yang, Danping 7 Zhou, Jianwei 6 Jiao, Yujian 6 Sun, Weiwei 6 Tang, Yuelong 6 Wang, Yushun 6 Yücel, Hamdullah 6 Zhang, Zhongqiang 6 Zhou, Zhaojie 5 Bhrawy, Ali Hassan 5 Fakhar-Izadi, Farhad 5 Guo, Shimin 5 Huang, Fei 5 Karniadakis, George Em 5 Li, Jian 5 Mei, Liquan 5 Rui, Hongxing 5 Sonar, Thomas 5 Yang, Yin 5 Yi, Lijun 5 Yi, Nianyu 5 Zeng, Fanhai 4 Abbaszadeh, Mostafa 4 Abd-Elhameed, Waleed Mohamed 4 Cai, Jiaxiang 4 Chrysafinos, Konstantinos 4 Fu, Hongfei 4 Funaro, Daniele 4 Ge, Liang 4 Hoppe, Ronald H. W. 4 Hua, Yuchun 4 Liu, Wen-Jie 4 Manzini, Gianmarco 4 Öffner, Philipp 4 Qin, Yonghui 4 Shen, Jie 4 Sun, Tao 4 Tang, Tao 4 Vexler, Boris 4 Wei, Gaofeng 4 Xiong, Chunguang 3 Abdelkawy, Mohamed A. 3 Benner, Peter 3 Boyd, John Philip 3 Cao, Weiming 3 Gan, Siqing 3 Glaubitz, Jan 3 Gong, Wei 3 Gong, Yuezheng 3 Gottlieb, Sigal 3 He, Songnian 3 Hintermüller, Michael 3 Hoseini, Sayyed Mohammad 3 Huang, Pengzhan 3 Li, Bingjie 3 Li, Jingliang 3 Li, Ruo 3 Li, Shan 3 Liu, Hailiang 3 Liu, Zeting 3 Lu, Shujuan 3 Ma, Jichao 3 Mao, Xuerong 3 Marzban, Hamid-Reza 3 Quarteroni, Alfio M. 3 Ranocha, Hendrik 3 Sarra, Scott A. 3 Wang, Cheng 3 Wang, Jilu 3 Wu, Boying 3 Wu, Yujiang 3 Xu, Chuanju 3 Yang, Yueting 3 Youssri, Youssri H. 3 Yu, Xuhong 3 Yuan, Huifang 3 Zhang, Zhiyue 3 Zhao, Tinggang 3 Zheng, Rumeng 2 Alipanah, Amjad 2 Amin, Ahmed Z. M. 2 Arora, Shelly ...and 605 more Authors
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### Cited in 126 Serials

 50 Journal of Scientific Computing 43 Applied Numerical Mathematics 33 Journal of Computational and Applied Mathematics 30 Applied Mathematics and Computation 29 Journal of Computational Physics 21 Computers & Mathematics with Applications 15 International Journal of Computer Mathematics 11 Numerical Methods for Partial Differential Equations 9 Advances in Computational Mathematics 9 Engineering Analysis with Boundary Elements 8 Mathematics of Computation 8 Applied Mathematics and Mechanics. (English Edition) 7 Mathematical Methods in the Applied Sciences 7 Numerische Mathematik 7 SIAM Journal on Numerical Analysis 7 Applied Mathematical Modelling 7 Computational Optimization and Applications 7 Abstract and Applied Analysis 7 Journal of Inequalities and Applications 6 Numerical Algorithms 6 European Journal of Control 6 Advances in Difference Equations 5 Mathematics and Computers in Simulation 5 SIAM Journal on Scientific Computing 5 Mathematical Problems in Engineering 5 Discrete and Continuous Dynamical Systems. Series B 5 Journal of Systems Science and Complexity 5 Communications on Applied Mathematics and Computation 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Acta Mathematicae Applicatae Sinica. English Series 4 Applied Mathematics Letters 4 Journal of Shanghai University 4 East Asian Journal on Applied Mathematics 3 International Journal of Control 3 Journal of the Franklin Institute 3 Journal of Mathematical Analysis and Applications 3 BIT 3 International Journal for Numerical Methods in Engineering 3 Numerical Functional Analysis and Optimization 3 SIAM Journal on Control and Optimization 3 Optimal Control Applications & Methods 3 Applied Mathematics. Series B (English Edition) 3 Computational and Applied Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Optimization Methods & Software 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Numerical Mathematics 3 International Journal of Computational Methods 3 International Journal of Numerical Analysis and Modeling 3 Boundary Value Problems 3 Frontiers of Mathematics in China 3 Communications in Computational Physics 3 Advances in Applied Mathematics and Mechanics 3 Science China. Mathematics 3 AIMS Mathematics 2 Computer Methods in Applied Mechanics and Engineering 2 International Journal for Numerical Methods in Fluids 2 Journal of Engineering Mathematics 2 Wave Motion 2 Journal of Optimization Theory and Applications 2 Mathematical and Computer Modelling 2 Computational Mathematics and Modeling 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 ETNA. Electronic Transactions on Numerical Analysis 2 Nonlinear Dynamics 2 Living Reviews in Relativity 2 Lobachevskii Journal of Mathematics 2 Computational Methods in Applied Mathematics 2 Journal of Applied Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Asian Journal of Control 2 S$$\vec{\text{e}}$$MA Journal 2 Computational Methods for Differential Equations 2 International Journal of Applied and Computational Mathematics 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Inverse Problems 1 Chaos, Solitons and Fractals 1 Automatica 1 Collectanea Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Systems & Control Letters 1 Annals of Global Analysis and Geometry 1 Optimization 1 Constructive Approximation 1 Computational Mechanics 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 SIAM Journal on Mathematical Analysis 1 The Journal of Analysis 1 Journal of Mathematical Sciences (New York) 1 Numerical Linear Algebra with Applications 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Chemistry 1 Journal of Applied Analysis 1 Journal of Vibration and Control 1 Differential Equations and Dynamical Systems 1 Vietnam Journal of Mathematics 1 Fractional Calculus & Applied Analysis ...and 26 more Serials
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### Cited in 32 Fields

 449 Numerical analysis (65-XX) 223 Partial differential equations (35-XX) 158 Calculus of variations and optimal control; optimization (49-XX) 85 Fluid mechanics (76-XX) 40 Ordinary differential equations (34-XX) 32 Systems theory; control (93-XX) 28 Probability theory and stochastic processes (60-XX) 24 Approximations and expansions (41-XX) 20 Special functions (33-XX) 19 Mechanics of deformable solids (74-XX) 18 Optics, electromagnetic theory (78-XX) 15 Real functions (26-XX) 14 Integral equations (45-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Operations research, mathematical programming (90-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Biology and other natural sciences (92-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Geophysics (86-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operator theory (47-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX)