Address: Department of Mathematics

College of Sciences Shanghai University

Shanghai 200444, China

Tel: 86-21-6613 2511 (O)

EDUCATION

1989 Ph.D. in Comput. Math., Shanghai Univ. of Sci. and Tech., China

1982 B.Sc. in Comput. Math. \& Its Appl. Software, Shanghai Univ. of Sci. and Tech., China

PROFESSIONAL EXPERIENCE

1994-present: Professor, Dept. of Math., Shanghai University

1990-1994: Associate Professor, Dept. of Math., Shanghai Univ. of Sci. and Tech.

1999-present: Associate Dean, College of Sciences, Shanghai University

1998-2004: Research Fellow (short term), City University of Hong Kong

2003.01-03: Visiting Member, Kent University, UK

1999-2001: Visiting Scientist (short term), Hong Kong Baptist University

RESEARCH INTERESTS

He works in numerical analysis of spectral methods for partial differential equations. He developed Chebyshev-Legendre spectral methods, which are applied successfully to the conservation laws, the generalized Burgers equation, the Korteweg-de Vries equation and the Navier-Stokes equations. He is now interested in spectral element methods and adaptive methods.

SERVICE

Refereed papers for SIAM J. Numer. Anal., J Sci. Comput., Advances in Comp. Math.,

J. Comp. Phys., IJ of Numer. Anal. Model., J. Comput. Math.

Adjunct Professor, University of Science and Technology of China (2001-2005)

AWARDS

Recipient (2) of The first class prize of Science and Technology Promotion Award (1991), by the State Education Committee of China

GRANTS

2002.01-2004.12 ， Spectral Methods, The special funds from State Major Basic Research Projects of China G1999032804, RMB60,000 ， Co-Investigator

2002.09-2005.08 ， Spectral Petrov-Galerkin Methods for Nonlinear Third-order Differential Equations in Unbounded Domains, RGC of HK ， HK$30,000 万， Co-Investigator

2005.01-2007.12 ， Discontinuous Spectral Element Methods and Their Adaptivity of Nonlinear Evolution Equations ， National Natural Science Foundation of China, Principal Investigator

TEACHING

Ordinary Differential Equations, Equations of Mathematical Physics, Numerical Methods,

Numerical Solutions of Differential Equations (for B.S. Students)

Difference Methods of PDEs, Numerical Analysis of Spectral Methods (for M. S. Students)

Spectral Methods in Fluid Dynamics, Function Spaces and Approximations, Finite Element Methods, Advanced Numerical Analysis (for Ph. D. Students)

GRADUATE SUPERVISION

Ph.D. Students ： Huiyuan Li, JianguoTang, Hua Wu (graduated) ； Tinggang Zhao, Zhenguo Deng,

Wen Zhang

M.S. Students ： Huili Sheng, Wenxin Li, Xiangfeng Yin, Qi Yuan （ graduated ）； Jingliang Li,

Zhongqiang Zhang, Tingting Shen

SELECTED PUBLICATIONS

• H.-P. Ma, W. Sun, and T. Tang, Hermite spectral methods with a time-dependent scaling for parabolic equations in unbounded domains, SIAM J. Numer. Anal., to appear .
• W.-B. Liu, H.-P. Ma, T.Tang, and N.-N. Yan, A posteriori error estimates of discontinuous Galerkin method for optimal control problems governed by parabolic equations, SIAM J. Numer. Anal., (42)2004, 1032-1061 .
• R. Li, W.-B. Liu, and H.-P. Ma, Moving mesh method with error-estimator-based monitor and its applications to static obstacle problem, J. Sci. Comput., (21)2004,31-55
• W. Hua, H.-P. Ma, and H.-Y. Li, Optimal error estimates of the Chebyshev-Legendre spectral method for solving the generalized Burgers equation, SIAM J.Numer.Anal. 41(2003), 659-672.
• W. Huang, H.-P. Ma, and W. Sun, Convergence analysis of spectral collocation methods for a singular differential equation, SIAM J. Numer. Anal. 41(2003), 2333-2349.
• H.-Y. Li and H.-P. Ma, Shifted Chebyshev collocation domain truncation for solving problems on an infinite interval, J.Sci.Comput., 18(2003), 191-213.
• H.-Y. Li, H. Wu, and H.-P. Ma, The Legendre Galerkin-Chebyshev collocation method for Burgers-like equations, IMA J.Numer.Anal., 23 (2003) , 109-124.
• J.-G. Tang and H.-P. Ma ， Single and multi-interval Legendre tau-methods in time for parabolic Equations, Adv. Comput. Math., 17(2002), 349-367.
• R. Li, W.-B. Liu, H.-P. Ma, and T. Tang , Adaptive finite element approximation for distributed elliptic optimal control problems SIAM J. Control Optim., 41(2002), 1321-1349.
• H.-P. Ma and W. Sun, Optimal error estimates of the Legendre Petrov-Galerkin method for the Korteweg-de Vries equations ， SIAM J. Numer. Anal., 39(2001), 1380-1394.
• H.-P. Ma and B.-Y. Guo, Composite Legendre-Laguerre pseudospectral approximation in unbounded domains, IMA J. Numer. Anal., 21(2001), 587-602.
• B.-Y. Guo, H.-P. Ma, and E. Tadmor, Spectral vanishing viscosity method for nonlinear conservation laws, SIAM J. Numer. Anal., 39(2001), 1254-1268.
• W.-B. Liu, H.-P. Ma, and T. Tang, On mixed error estimates for elliptic obstacle problems. A posteriori error estimation and adaptive computational methods. Adv. Comput. Math., 15 (2001), 261-283.
• H.-P. Ma and W. Sun, A Legendre Petrov-Galerkin and Chebyshev collocation method for third-order differential equations, SIAM J. Numer. Anal., 38(2000), 1425-1438.
• J. Li, H.-P. Ma, and W. Sun, Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method. Numer. Methods Partial Differential Equations, 16 (2000), 513-534.
• H.-P. Ma, Chebyshev-Legendre spectral viscosity method for nonlinear conservation laws, SIAM J. Numer. Anal., 35 (1998), 869-892.
• H.-P. Ma, Chebyshev-Legendre super spectral viscosity method for nonlinear conservation laws, SIAM J. Numer. Anal., 35(1998),893-908.
• B.-Y. Guo and H.-P. Ma ， Combined finite element-pseudospectral method for two-dimensional evolutionary Navier-Stokes equations, SIAM J. Numer. Anal., 30(1993), 1066-1083.
• H.-P. Ma and B.-Y. Guo, Combined finite element and pseudospectral method for the three-dimensional Navier-Stokes equations ， Chinese Ann. Math., Ser.B, 13 (1992), 350-367.
• B.-Y. Guo and H.-P. Ma ， A pseudospectral-finite element method for solving two-dimensional vorticity equations, SIAM J. Numer. Anal., 28(1991), 113-132.