# zbMATH — the first resource for mathematics

## Ma, Heping

Compute Distance To:
 Author ID: ma.heping Published as: Ma, H.; Ma, H. P.; Ma, He Ping; Ma, He-Ping; Ma, He-ping; Ma, Heping
 Documents Indexed: 122 Publications since 1986, including 1 Book
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#### Co-Authors

 5 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 Zhao, Tinggang 3 Chen, Lian 3 Deng, Zhenguo 3 Ji, Yuanyuan 3 Shen, Tingting 3 Tang, Jianguo 3 Yang, Yubo 3 Zeng, Fanhai 2 Cao, Weiming 2 Chen, Lan 2 Chen, Siyi 2 Guo, Benqi 2 He, Songnian 2 Li, Jian 2 Li, Ruo 2 Liu, Bin 2 Liu, Bin 2 Ou, Qiuli 2 Zhang, Shuaiyin 2 Zhang, Wen 1 Bai, Jingge 1 Chen, Yanping 1 Cheng, Yumin 1 Deng, Fangfang 1 Fairweather, Graeme 1 Fan, Chun 1 Fang, Dandan 1 Gao, Jianguo 1 Guo, Wanli 1 Hou, Jingyu 1 Hu, Yueling 1 Huang, Hui 1 Huang, Weizhang 1 Huang, Yunqing 1 Li, Hongwei 1 Li, Youyun 1 Liang, Dong 1 Liu, Bin 1 Liu, Bin 1 Liu, Liang 1 Liu, Yalin 1 Liu, Ying 1 Ma, Qiaozhen 1 Ouyang, Xiaohui 1 Qin, Tinghua 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, Wen 1 Zhang, Wen 1 Zhang, Xingguang 1 Zhang, Ying-Li 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 Numerical Methods for Partial Differential Equations 6 Applied Numerical Mathematics 6 Journal of Shanghai University. Natural Science 5 Journal of Shanghai University 4 Journal of Scientific Computing 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 Advances in Computational Mathematics 2 Asian Journal of Control 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 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Northeastern Mathematical Journal 1 Computational Mechanics 1 International Journal of Computer Mathematics 1 Journal of Hydrodynamics 1 Applied Mathematics. Series B (English Edition) 1 Discrete Dynamics in Nature and Society 1 Journal of Applied Statistics 1 Journal of Northwest Normal University. Natural Science 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 East Asian Journal on Applied Mathematics 1 Communications on Applied Mathematics and Computation
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#### Fields

 93 Numerical analysis (65-XX) 62 Partial differential equations (35-XX) 19 Fluid mechanics (76-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 6 Ordinary differential equations (34-XX) 6 Probability theory and stochastic processes (60-XX) 6 Systems theory; control (93-XX) 4 Optics, electromagnetic theory (78-XX) 2 History and biography (01-XX) 2 Approximations and expansions (41-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-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) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

78 Publications have been cited 692 times in 469 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
Chebyshev-Legendre super spectral viscosity method for nonlinear conservation laws. Zbl 0912.35105
Ma, Heping
1998
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 spectral viscosity method for nonlinear conservation laws. Zbl 0912.35104
Ma, Heping
1998
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
Spectral vanishing viscosity method for nonlinear conservation laws. Zbl 1020.65071
Guo, Ben-yu; Ma, He-ping; Tadmor, Eitan
2001
Single and multi-interval Legendre $$\tau$$-methods in time for parabolic equations. Zbl 1002.65111
Tang, Jianguo; Ma, Heping
2002
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 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
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 spectral method for Burgers-like equations. Zbl 0641.65084
Ma, Heping; Guo, Benyu
1988
Order-preserving strong schemes for SDEs with locally Lipschitz coefficients. Zbl 1354.65017
Zhang, Zhongqiang; Ma, Heping
2017
The Chebyshev-Legendre collocation method for a class of optimal control problems. Zbl 1159.49039
Zhang, Wen; Ma, Heping
2008
The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation. Zbl 0589.65077
Ma, Heping; Guo, Benyu
1986
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
Combined finite element and pseudospectral method for the two-dimensional evolutionary Navier–Stokes equations. Zbl 0778.76051
Guo, Benyu; Ma, Heping
1993
Legendre spectral Galerkin method for electromagnetic scattering from large cavities. Zbl 1285.78002
Li, Huiyuan; Ma, Heping; Sun, Weiwei
2013
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
Convergence analysis of spectral collocation methods for a singular differential equation. Zbl 1058.65076
Huang, Weizhang; Ma, Heping; Sun, Weiwei
2003
Composite Legendre-Laguerre pseudospectral approximation in unbounded domains. Zbl 0993.65106
Ma, Heping; Guo, Benyu
2001
Maximum principle for partially observed risk-sensitive optimal control problems of mean-field type. Zbl 1355.93213
Ma, Heping; Liu, Bin
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
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
An efficient Chebyshev algorithm for the solution of optimal control problems. Zbl 1368.49036
Ma, Heping; Qin, Tinghua; Zhang, Wen
2011
A new spectral method on triangles. Zbl 1216.65169
Li, Youyun; Wang, Li-Lian; Li, Huiyuan; Ma, Heping
2011
Approximate solution of the Sturm-Liouville problems with Legendre-Galerkin-Chebyshev collocation method. Zbl 1157.65431
Chen, Lan; Ma, He-Ping
2008
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
Single and multi-interval Legendre spectral methods in time for parabolic equations. Zbl 1103.65107
Tang, Jianguo; Ma, Heping
2006
On mixed error estimates for elliptic obstacle problems. Zbl 0996.65113
Liu, Wenbin; Ma, Heping; Tang, Tao
2001
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
Uniform convergence of the Legendre spectral method for the Zakharov equations. Zbl 1364.76147
Ji, Yuanyuan; Ma, Heping
2013
Error estimate of the Fourier collocation method for the Benjamin-Ono equation. Zbl 1212.65395
Deng, Zhenguo; Ma, Heping
2009
A new scheme for vorticity computations near a sharp corner. Zbl 0800.76277
Ma, H.; Ruth, D. W.
1994
The Fourier pseudospectral method for three-dimensional vorticity equations. Zbl 0691.35081
Guo, Benyu; Ma, Heping
1988
Infinite horizon optimal control problem of mean-field backward stochastic delay differential equation under partial information. Zbl 06921130
Ma, Heping; Liu, Bin
2017
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
An alternating direction implicit Legendre spectral element method for the Schrödinger equation. Zbl 1265.65215
Zeng, Fanhai; Ma, Heping; Zhao, Tinggang
2011
Multidomain pseudospectral methods for nonlinear convection-diffusion equations. Zbl 1237.65112
Ji, Yuan-yuan; Wu, Hua; Ma, He-ping; Guo, Ben-yu
2011
Wavelet theory and its application to pattern recognition. Zbl 0969.68133
Tang, Y. Y.; Yang, L. H.; Liu, J.; Ma, H.
2000
A pseudospectral finite-element method for solving two-dimensional vorticity equations. Zbl 0723.76058
Guo, Ben-Yu; Ma, He-Ping
1991
The Legendre Galerkin-Chebyshev collocation method for space fractional Burgers-like equations. Zbl 1424.65197
Yang, Yubo; Ma, Heping
2018
Energy-conserved splitting spectral methods for two dimensional Maxwell’s equations. Zbl 1293.78014
Zeng, Fanhai; Ma, Heping; Liang, Dong
2014
Does the best-fitting curve always exist? Zbl 1398.62178
Chernov, N.; Huang, Q.; Ma, H.
2012
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
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 for Fourier spectral approximation of the generalized KdV equation. Zbl 1187.65106
Deng, Zhen-guo; Ma, He-ping
2009
Boundary integral equation supported differential quadrature method to solve problems over general irregular geometries. Zbl 1109.76350
Ma, H.; Qin, Q.-H.
2005
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
Combined finite element and pseudospectral method for the three- dimensional Navier-Stokes equations. Zbl 0811.76038
Ma, Heping; Guo, Benyu
1992
Combined finite element and pseudospectral method for three-dimensional vorticity equations. Zbl 0709.76082
Ma, Heping; Guo, Benyu
1990
Strict error estimation for a spectral method of compressible fluid flow. Zbl 0668.76072
Guo, Benyu; Ma, Heping
1987
A triangular spectral element method for elliptic and Stokes problems. Zbl 1426.65190
Li, Jingliang; Ma, Heping; Li, Huiyuan
2018
Spectral element methods on hybrid triangular and quadrilateral meshes. Zbl 1416.65480
Li, Jingliang; Ma, Heping; Wang, Li-Lian; Wu, Hua
2018
A spectral method for triangular prism. Zbl 06865795
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
Optimal control problem for risk-sensitive Mean-field stochastic delay differential equation with partial information. Zbl 1386.93311
Ma, Heping; Liu, Bin
2017
Preface. Current trends and progresses in scientific computation – dedicated to Professor Ben-yu Guo on his 70th birthday. Zbl 1293.00015
Wang, Renhong (ed.); Wong, Roderick S. (ed.); Guo, Benqi (ed.); Ma, Heping (ed.)
2014
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
Optimal error estimates of multi-symplectic Fourier pseudospectral method for nonlinear Schrödinger equation. Zbl 1212.65349
Guo, Wanli; Zhang, Zhongqiang; Ma, Heping
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
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
Chebyshev pseudospectral-hybrid finite element method for two-dimensional vorticity equation. Zbl 0869.76039
Guo, Benyu; Ma, Heping; Hou, Jingyu
1996
The Chebyshev spectral method with a restraint operator for Burgers equation. Zbl 0815.65117
Ma, Heping; Guo, Benyu
1994
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
The Legendre Galerkin-Chebyshev collocation method for space fractional Burgers-like equations. Zbl 1424.65197
Yang, Yubo; Ma, Heping
2018
A triangular spectral element method for elliptic and Stokes problems. Zbl 1426.65190
Li, Jingliang; Ma, Heping; Li, Huiyuan
2018
Spectral element methods on hybrid triangular and quadrilateral meshes. Zbl 1416.65480
Li, Jingliang; Ma, Heping; Wang, Li-Lian; Wu, Hua
2018
A spectral method for triangular prism. Zbl 06865795
Li, Jingliang; Ma, Heping; Qin, Yonghui; Zhang, Shuaiyin
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
The Legendre Galerkin-Chebyshev collocation method for generalized space-fractional Burgers equations. Zbl 1399.65285
Yang, Yubo; Ma, Heping
2017
Optimal control problem for risk-sensitive Mean-field stochastic delay differential equation with partial information. Zbl 1386.93311
Ma, Heping; Liu, Bin
2017
Maximum principle for partially observed risk-sensitive optimal control problems of mean-field type. Zbl 1355.93213
Ma, Heping; Liu, Bin
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
Jacobi spectral collocation method for the time variable-order fractional mobile-immobile advection-dispersion solute transport model. Zbl 06797027
Ma, Heping; Yang, Yubo
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
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
Wang, Renhong (ed.); Wong, Roderick S. (ed.); Guo, Benqi (ed.); Ma, Heping (ed.)
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
A Legendre Petrov-Galerkin method for fourth-order differential equations. Zbl 1207.65142
Shen, Ting-Ting; Xing, Kang-Zheng; Ma, He-Ping
2011
An efficient Chebyshev algorithm for the solution of optimal control problems. Zbl 1368.49036
Ma, Heping; Qin, Tinghua; Zhang, Wen
2011
A new spectral method on triangles. Zbl 1216.65169
Li, Youyun; Wang, Li-Lian; Li, Huiyuan; Ma, Heping
2011
An alternating direction implicit Legendre spectral element method for the Schrödinger equation. Zbl 1265.65215
Zeng, Fanhai; Ma, Heping; Zhao, Tinggang
2011
Multidomain pseudospectral methods for nonlinear convection-diffusion equations. Zbl 1237.65112
Ji, Yuan-yuan; Wu, Hua; Ma, He-ping; Guo, Ben-yu
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
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 for Fourier spectral approximation of the generalized KdV equation. Zbl 1187.65106
Deng, Zhen-guo; 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
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
The Legendre Galerkin-Chebyshev collocation method for Burgers-like equations. Zbl 1020.65072
Li, Huiyuan; Wu, Hua; Ma, Heping
2003
Convergence analysis of spectral collocation methods for a singular differential equation. Zbl 1058.65076
Huang, Weizhang; Ma, Heping; Sun, Weiwei
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 677 Authors

 37 Guo, Ben-Yu 28 Ma, Heping 25 Chen, Yanping 14 Hou, Tianliang 13 Lu, Zuliang 10 Dehghan Takht Fooladi, Mehdi 10 Wang, Tianjun 10 Wang, Zhongqing 9 Liu, Steve Wenbin 9 Wang, Lilian 8 Li, Huiyuan 8 Yan, Ningning 8 Zhang, Chao 7 Doha, Eid H. 7 He, Yinnian 7 Yang, Danping 6 Huang, Yunqing 6 Jiao, Yujian 6 Leng, Haitao 6 Sun, Weiwei 6 Yücel, Hamdullah 6 Zhang, Zhongqiang 5 Bhrawy, Ali Hassan 5 Fakhar-Izadi, Farhad 5 Karniadakis, George Em 5 Li, Jian 5 Rui, Hongxing 5 Sonar, Thomas 5 Wang, Yushun 5 Yi, Lijun 5 Yi, Nianyu 5 Zhou, Jianwei 5 Zhou, Zhaojie 4 Abbaszadeh, Mostafa 4 Abd-Elhameed, Waleed Mohamed 4 Cai, Jiaxiang 4 Chrysafinos, Konstantinos 4 Fu, Hongfei 4 Hoppe, Ronald H. W. 4 Li, Yuan 4 Liu, Wen-Jie 4 Shen, Jie 4 Sun, Tao 4 Tang, Yuelong 4 Vexler, Boris 4 Xiong, Chunguang 4 Zeng, Fanhai 3 Abdelkawy, Mohamed A. 3 Benner, Peter 3 Boyd, John Philip 3 Cao, Weiming 3 Gan, Siqing 3 Ge, Liang 3 Gong, Wei 3 Gong, Yuezheng 3 Gottlieb, Sigal 3 Guo, Shimin 3 He, Songnian 3 Hintermüller, Michael 3 Hoseini, Sayyed Mohammad 3 Huang, Pengzhan 3 Jiang, Xiaoyun 3 Li, Bingjie 3 Li, Ruo 3 Liu, Hailiang 3 Liu, Zeting 3 Lu, Shujuan 3 Ma, Jichao 3 Marzban, Hamid-Reza 3 Mei, Liquan 3 Öffner, Philipp 3 Qin, Yonghui 3 Quarteroni, Alfio M. 3 Sarra, Scott A. 3 Tang, Tao 3 Wang, Cheng 3 Wang, Jilu 3 Wei, Gaofeng 3 Wu, Boying 3 Wu, Yujiang 3 Xu, Chuanju 3 Yang, Yueting 3 Yu, Xuhong 3 Zhao, Tinggang 2 Alipanah, Amjad 2 Amin, Ahmed Z. M. 2 Arora, Shelly 2 Bao, Weizhu 2 Boulanger, Anne-Céline 2 Burman, Erik 2 Chang, Yanzhen 2 Cheng, Xiaoliang 2 Chernov, Nikolai Ivanovich 2 Chowdhury, Sudipto Paul 2 Deepa, R. Acharya 2 Deng, Zhenguo 2 Du, Kui 2 Du, Ning 2 Ebadian, Ali 2 Feng, Tao ...and 577 more Authors
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#### Cited in 115 Serials

 43 Journal of Scientific Computing 35 Applied Numerical Mathematics 30 Applied Mathematics and Computation 29 Journal of Computational and Applied Mathematics 24 Journal of Computational Physics 19 Computers & Mathematics with Applications 11 Numerical Methods for Partial Differential Equations 10 International Journal of Computer 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 Computational Optimization and Applications 7 Advances in Computational Mathematics 6 Abstract and Applied Analysis 5 Numerical Algorithms 5 Applied Mathematical Modelling 5 Mathematical Problems in Engineering 5 European Journal of Control 5 Journal of Shanghai University 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Acta Mathematicae Applicatae Sinica. English Series 4 SIAM Journal on Scientific Computing 4 Journal of Inequalities and Applications 4 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Systems Science and Complexity 4 Advances in Difference Equations 4 East Asian Journal on Applied Mathematics 4 Communications on Applied Mathematics and Computation 3 International Journal for Numerical Methods in Fluids 3 Journal of the Franklin Institute 3 Journal of Mathematical Analysis and Applications 3 Wave Motion 3 BIT 3 International Journal for Numerical Methods in Engineering 3 Mathematics and Computers in Simulation 3 Numerical Functional Analysis and Optimization 3 SIAM Journal on Control and Optimization 3 Optimal Control Applications & Methods 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Applied Mathematics. Series B (English Edition) 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 Frontiers of Mathematics in China 2 International Journal of Control 2 Computational Mathematics and Modeling 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Computational and Applied Mathematics 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 Boundary Value Problems 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Science China. Mathematics 2 Asian Journal of Control 2 S$$\vec{\text{e}}$$MA Journal 2 Computational Methods for Differential Equations 1 Acta Mechanica 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Chaos, Solitons and Fractals 1 Collectanea Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Meccanica 1 Journal of Information & Optimization Sciences 1 Annals of Global Analysis and Geometry 1 Optimization 1 Computational Mechanics 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Pattern Recognition 1 SIAM Journal on Mathematical Analysis 1 The Journal of Analysis 1 Communications in Numerical Methods in Engineering 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 European Journal of Mechanics. B. Fluids 1 Archives of Computational Methods in Engineering 1 Portugaliae Mathematica. Nova Série 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 JMMA. Journal of Mathematical Modelling and Algorithms ...and 15 more Serials
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#### Cited in 35 Fields

 386 Numerical analysis (65-XX) 193 Partial differential equations (35-XX) 133 Calculus of variations and optimal control; optimization (49-XX) 81 Fluid mechanics (76-XX) 32 Ordinary differential equations (34-XX) 21 Mechanics of deformable solids (74-XX) 20 Systems theory; control (93-XX) 19 Approximations and expansions (41-XX) 17 Probability theory and stochastic processes (60-XX) 16 Special functions (33-XX) 14 Real functions (26-XX) 14 Optics, electromagnetic theory (78-XX) 12 Integral equations (45-XX) 8 Operations research, mathematical programming (90-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Biology and other natural sciences (92-XX) 2 Difference and functional equations (39-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX)