Heping Ma

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All published works

Action	Title	Year	Authors
+ PDF Chat	Approximation Properties of Chebyshev Polynomials in the Legendre Norm	2021	Cuixia Niu Huiqing Liao Heping Ma Hua Wu
+	Error estimate of a Legendre-Galerkin Chebyshev collocation method for a class of parabolic inverse problem	2021	Huiqing Liao Heping Ma
+	SPACE-TIME SPECTRAL METHOD FOR PARABOLIC INVERSE PROBLEM WITH UNKNOWN CONTROL PARAMETER	2020	Liang Liu Heping Ma
+	Legendre-tau-Galerkin and spectral collocation method for nonlinear evolution equations	2020	Yonghui Qin Heping Ma
+	MULTIDOMAIN LEGENDRE TAU METHOD FOR THE 1-D MAXWELL EQUATION WITH DISCONTINUOUS SOLUTIONS	2018	Dandan Fang Heping Ma
+	Fractional collocation methods for multi-term linear and nonlinear fractional differential equations with variable coefficients on the half line	2018	Yubo Yang Heping Ma
+ PDF Chat	Order-preserving strong schemes for SDEs with locally Lipschitz coefficients	2016	Zhongqiang Zhang Heping Ma
+	Multidomain Legendre–Galerkin Chebyshev-collocation method for one-dimensional evolution equations with discontinuity	2016	Heping Ma Yonghui Qin Qiuli Ou
+	Jacobi Spectral Collocation Method for the Time Variable-Order Fractional Mobile-Immobile Advection-Dispersion Solute Transport Model	2016	Heping Ma Yubo Yang
+	The Legendre Galerkin Chebyshev collocation least squares for the elliptic problem	2016	Yonghui Qin Jingliang Li Heping Ma
+ PDF Chat	Global Stability of Positive Periodic Solutions and Almost Periodic Solutions for a Discrete Competitive System	2015	Heping Ma Jianguo Gao Lingling Xie
+	Uniform Convergence of the Fourier Spectral Method for the Zakharov Equations	2013	Zheng Yang Yuanyuan Ji Heping Ma
+	The Dissipative Spectral Methods for the First Order Linear Hyperbolic Equations	2012	Lian Chen Zhongqiang Zhang Heping Ma
+	Uniform convergence of the legendre spectral method for the Zakharov equations	2012	Yuanyuan Ji Heping Ma
+	Legendre spectra methods for initial-bounary value problem of Klein-Gordon-Zakharov equations	2012	Heping Ma
+	Error Analysis of Chebyshev-Legendre Pseudo-spectral Method for a Class of Nonclassical Parabolic Equation	2011	Tinggang Zhao Yu-Jiang Wu Heping Ma
+	Multidomain pseudospectral methods for nonlinear convection-diffusion equations	2011	Yuanyuan Ji Hua Wu Heping Ma Ben‐yu Guo
+	A multidomain Legendre-Petrov-Galerkin spectral method for third-order differential equations	2011	Heping Ma
+	A Legendre Petrov–Galerkin method for fourth-order differential equations	2010	Tingting Shen Kangzheng Xing Heping Ma
+	Optimal Error Estimates of the Legendre Tau Method for Second-Order Differential Equations	2009	Tingting Shen Zhongqiang Zhang Heping Ma
+	Chebyshev-Legendre method for discretizing optimal control problems	2009	Wen Zhang Heping Ma
+	A rational spectral method for the KdV equation on the half line	2009	Zhongqiang Zhang Heping Ma
+	Optimal error estimates for Fourier spectral approximation of the generalized KdV equation	2009	Zhen-Guo Deng Heping Ma
+	Optimal Error Estimates of Multi-symplectic Fourier Pseudospectral Method for Nonlinear Schrdinger Equation	2009	Heping Ma
+	Approximate solution of the Sturm–Liouville problems with Legendre–Galerkin–Chebyshev collocation method	2008	Chen Lan Heping Ma
+	Chebyshev‐Legendre spectral method for solving the two‐dimensional vorticity equations with homogeneous Dirichlet conditions	2008	Hua Wu Heping Ma Huiyuan Li
+	Optimal error estimates of the Fourier spectral method for a class of nonlocal, nonlinear dispersive wave equations	2008	Zhen-Guo Deng Heping Ma
+	The Chebyshev–Legendre collocation method for a class of optimal control problems	2008	Wen Zhang Heping Ma
+	Legendre expansion method for Helmholz equations	2008	Tinggang Zhao Heping Ma
+	Orthogonal spline collocation methods for the stream function‐vorticity formulation of the Navier–Stokes equations	2007	Graeme Fairweather Heping Ma Weiwei Sun
+	A stabilized Hermite spectral method for second‐order differential equations in unbounded domains	2007	Heping Ma Tinggang Zhao
+	Super spectral viscosity method for nonlinear conservation laws	2006	Heping Ma Huiyuan Li
+	A Legendre spectral method in time for first-order hyperbolic equations	2006	Jianguo Tang Heping Ma
+	Single and multi‐interval Legendre spectral methods in time for parabolic equations	2005	Jianguo Tang Heping Ma
+ PDF Chat	Hermite Spectral Methods with a Time-Dependent Scaling for Parabolic Equations in Unbounded Domains	2005	Heping Ma Weiwei Sun Tao Tang
+	Error Estimation of Legendre-Petrov-Galerkin Chebyshev Collocation Method for Solving Generalized Korteweg-de Vries Equation	2005	Heping Ma
+	A Posteriori Error Estimates for Discontinuous Galerkin Time-Stepping Method for Optimal Control Problems Governed by Parabolic Equations	2004	Wenbin Liu Heping Ma Tao Tang Ningning Yan
+	None	2003	Huiyuan Li Heping Ma
+	Optimal Error Estimates of the Chebyshev--Legendre Spectral Method for Solving the Generalized Burgers Equation	2003	Hua Wu Heping Ma Huiyuan Li
+ PDF Chat	Convergence Analysis of Spectral Collocation Methods for a Singular Differential Equation	2003	Weizhang Huang Heping Ma Weiwei Sun
+	None	2002	Jianguo Tang Heping Ma
+	Composite Legendre-Laguerre pseudospectral approximation in unbounded domains	2001	Heping Ma
+	Optimal Error Estimates of the Legendre--Petrov--Galerkin Method for the Korteweg--de Vries Equation	2001	Heping Ma Weiwei Sun
+ PDF Chat	Spectral Vanishing Viscosity Method For Nonlinear Conservation Laws	2001	Ben‐yu Guo Heping Ma Eitan Tadmor
+	Error analysis for solving the Korteweg‐de Vries equation by a Legendre pseudo‐spectral method	2000	Jian Li Heping Ma Weiwei Sun
+	A Legendre--Petrov--Galerkin and Chebyshev Collocation Method for Third-Order Differential Equations	2000	Heping Ma Weiwei Sun
+	Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method	2000	Jian Li Heping Ma Weiwei Sun
+	Chebyshev--Legendre Super Spectral Viscosity Method for Nonlinear Conservation Laws	1998	Heping Ma
+	Chebyshev spectral-finite element method for three-dimensional vorticity equation	1998	Guo Ben‐yu Heping Ma Songnian He
+	Fourier-Chebyshev spectral method for solving three-dimensional vorticity equation	1995	Ben‐yu Guo Jian Li Heping Ma
+	The chebyshev spectral method with a restraint operator for burgers equation	1994	Heping Ma Guo Ben‐yu
+	Combined Finite Element and Pseudospectral Method for the Two-Dimensional Evolutionary Navier–Stokes Equations	1993	Guo Ben‐yu Heping Ma
+	A Pseudospectral Finite-Element Method for Solving Two-Dimensional Vorticity Equations	1991	Guo Ben‐yu Heping Ma
+	The fourier pseudospectral method for three-dimensional vorticity equations	1988	Ben‐yu Guo Heping Ma
+	The Chebyshev spectral method for Burgers-like equations	1988	Heping Ma Guo Ben‐yu
+	Strict error estimation for a spectral method of compressible fluid flow	1987	Guo Ben‐yu Heping Ma
+	The fourier pseudospectral method with a restrain operator for the M.K.D.V. equation	1987	Heping Ma Ben‐yu Guo
+	The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation	1986	Heping Ma Guo Ben‐yu

Common Coauthors

Coauthor	Papers Together
Guo Ben‐yu	7
Weiwei Sun	7
Ben‐yu Guo	5
Zhongqiang Zhang	4
Huiyuan Li	4
Hua Wu	4
Jianguo Tang	3
Tinggang Zhao	3
Yuanyuan Ji	3
Tingting Shen	2
Yonghui Qin	2
Tao Tang	2
Yubo Yang	2
Zhen-Guo Deng	2
Jian Li	2
Huiqing Liao	2
Yu-Jiang Wu	1
Liang Liu	1
Songnian He	1
Wen Zhang	1
Dandan Fang	1
Zheng Yang	1
Kangzheng Xing	1
Cuixia Niu	1
Jian Li	1
Lingling Xie	1
Jianguo Gao	1
Jingliang Li	1
Weizhang Huang	1
Ningning Yan	1
Yonghui Qin	1
Eitan Tadmor	1
Graeme Fairweather	1
Chen Lan	1
Qiuli Ou	1
Wenbin Liu	1
Lian Chen	1
Wen Zhang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials	1994	Jie Shen	18
+	Chebyshev--Legendre Super Spectral Viscosity Method for Nonlinear Conservation Laws	1998	Heping Ma	13
+	A Legendre--Petrov--Galerkin and Chebyshev Collocation Method for Third-Order Differential Equations	2000	Heping Ma Weiwei Sun	13
+	Numerical Analysis of Spectral Methods	1977	David Gottlieb Steven A. Orszag	11
+	Optimal Error Estimates of the Chebyshev--Legendre Spectral Method for Solving the Generalized Burgers Equation	2003	Hua Wu Heping Ma Huiyuan Li	11
+	The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation	1986	Heping Ma Guo Ben‐yu	11
+ PDF Chat	Efficient Spectral-Galerkin Method II. Direct Solvers of Second- and Fourth-Order Equations Using Chebyshev Polynomials	1995	Jie Shen	10
+	Stability of the Fourier Method	1979	Heinz‐Otto Kreiss Joseph Oliger	8
+	Optimal Error Estimates of the Legendre--Petrov--Galerkin Method for the Korteweg--de Vries Equation	2001	Heping Ma Weiwei Sun	8
+	Error analysis for solving the Korteweg‐de Vries equation by a Legendre pseudo‐spectral method	2000	Jian Li Heping Ma Weiwei Sun	8
+	The Legendre Galerkin-Chebyshev collocation method for Burgers-like equations	2003	H. Li	7
+	Spectral methods and their applications	1998	Pen-yü Kuo	7
+	Polynomial interpolation results in Sobolev spaces	1992	Christine Bernardi Yvon Maday	6
+	Spectral and Pseudo-Spectral Approximations of the Navier–Stokes Equations	1982	Yvon Maday Alfio Quarteroni	6
+	The Chebyshev spectral method for Burgers-like equations	1988	Heping Ma Guo Ben‐yu	6
+	Single and multidomain Chebyshev collocation methods for the Korteweg-de Vries equation	1988	Donatella Pavoni	6
+	Legendre and Chebyshev spectral approximations of Burgers' equation	1981	Yvon Maday Alfio Quarteroni	6
+	Fourier Methods with Extended Stability Intervals for the Korteweg–de Vries Equation	1985	Tony F. Chan Tom Kerkhoven	6
+	Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method	2000	Jian Li Heping Ma Weiwei Sun	6
+	<i>Finite-Difference Methods for Partial Differential Equations</i>	1961	George E. Forsythe Wolfgang Wasow W. Nachbar	6
+ PDF Chat	Error analysis for spectral approximation of the Korteweg-de Vries equation	1988	Yvon Maday Alfio Quarteroni	6
+	None	2002	Jianguo Tang Heping Ma	5
+	Convergence of fourier methods for Navier-Stokes equations	1981	Ole H. Hald	5
+	Inequalities Involving Functions and Their Integrals and Derivatives	1991	D. S. Mitrinović ‎Josip Pečarić A. M. Fink	5
+	Properties of Collocation Third-Derivative Operators	1993	William J. Merryfield Bernie D. Shizgal	4
+ PDF Chat	The Pseudospectral Method for Third-Order Differential Equations	1992	Weizhang Huang D. M. Sloan	4
+ PDF Chat	Spectral Methods in Time for Parabolic Problems	1989	Hillel Tal‐Ezer	4
+ PDF Chat	Spectral Methods in Time for Hyperbolic Equations	1986	Hillel Tal‐Ezer	4
+	Error estimation of spectral method for solving three-dimensional vorticity equation	1985	Guo Ben‐yu	4
+ PDF Chat	Legendre Pseudospectral Viscosity Method for Nonlinear Conservation Laws	1993	Yvon Maday Sidi Mahmoud Kaber Eitan Tadmor	4
+	Fourier expansion solution of the Korteweg-de Vries equation	1980	Kanji Abe Osamu Inoue	4
+	Truncation versus mapping in the spectral approximation to the Korteweg-De Vries equation	1990	Nicoletta Bressan Donatella Pavoni	4
+	Numerical methods for the solution of the third- and fifth-order dispersive Korteweg-de Vries equations	1995	K. Djidjeli W.G. Price E. H. Twizell Y. Wang	4
+ PDF Chat	Analysis of the Spectral Vanishing Viscosity Method for Periodic Conservation Laws	1989	Yvon Maday Eitan Tadmor	4
+ PDF Chat	Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval	2000	Ben‐yu Guo Jie Shen	3
+	Spectral method in time for KdV equations	1996	Shengchang Wu Xiaoqing Liu	3
+ PDF Chat	Recovering Pointwise Values of Discontinuous Data within Spectral Accuracy	1985	David Gottlieb Eitan Tadmor	3
+ PDF Chat	Convergence of Spectral Methods for Nonlinear Conservation Laws	1989	Eitan Tadmor	3
+	A pseudospectral scheme for the numerical calculation of shocks	1982	Patrick Cornille	3
+	Space-Time Spectral Element Methods for One-Dimensional Nonlinear Advection-Diffusion Problems	1995	P. Bar‐Yoseph Eduard Moses Uzi Zrahia Alexander L. Yarin	3
+	A Dissipative Galerkin Method for the Numerical Solution of First Order Hyperbolic Equations	1974	Lars B. Wahlbin	3
+	On the Gibbs phenomenon I: recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function	1992	David Gottlieb Chi‐Wang Shu Alex Solomonoff Hervé Vandeven	3
+	Spectral methods in time for a class of parabolic partial differential equations	1992	Glenn Ierley Brian J. Spencer Rodney A. Worthing	3
+	Spectral Methods for a Nonlinear Initial Value Problem Involving Pseudo Differential Operators	1982	Joseph E. Pasciak	3
+	Polynomial time-marching for nonperiodic boundary value problems	1994	Yong Luo Matthew J. Yedlin	3
+ PDF Chat	Spectral viscosity approximations to multidimensional scalar conservation laws	1993	Gui‐Qiang Chen Qiang Du Eitan Tadmor	3
+	Spectral Methods for Discontinuous Problems	1985	Saul Abarbanel David Gottlieb Eitan Tadmor	3
+ PDF Chat	Shock capturing by the spectral viscosity method	1990	Eitan Tadmor	3
+	Spectral method for solving Navier-Stokes equation	1985	Binghui Guo	3
+	Time finite element methods for initial value problems	2000	P. Bar‐Yoseph	3