Ben‐yu Guo

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All published works
Action Title Year Authors
+ A New Pseudospectral Method on Quadrilaterals 2016 Ben‐yu Guo
Hongli Jia Hongli Jia
+ An hp -spectral collocation method for nonlinear Volterra functional integro-differential equations with delays 2016 Changtao Sheng
Zhongqing Wang
Ben‐yu Guo
+ Non-Isotropic Jacobi Spectral and Pseudospectral Methods in Three Dimensions 2015 Yujian Jiao
Sheng Chen
Ben‐yu Guo
+ Spectral Method for Fourth-Order Problems on Quadrilaterals 2015 Xuhong Yu
Ben‐yu Guo
+ Generalized Hermite Spectral Method Matching Different Algebraic Decay at infinities 2015 Ben‐yu Guo
Chao Zhang
+ Fourth-order compact finite difference methods and monotone iterative algorithms for semilinear elliptic boundary value problems 2014 Yuan-Ming Wang
Ben‐yu Guo
Wenjia Wu
+ PDF Chat Spectral and Spectral Element Methods for High Order Problems with Mixed Boundary Conditions 2014 Ben‐yu Guo
+ Spectral Element Method for Mixed Inhomogeneous Boundary Value Problems of Fourth Order 2014 Xuhong Yu
Ben‐yu Guo
+ A Multistep Legendre--Gauss Spectral Collocation Method for Nonlinear Volterra Integral Equations 2014 Changtao Sheng
Zhongqing Wang
Ben‐yu Guo
+ A collocation method for generalized nonlinear Klein-Gordon equation 2013 Ben‐yu Guo
Zhongqing Wang
+ Composite Spectral Method for Exterior Problems with Polygonal Obstacles 2013 Ben‐yu Guo
Xuhong Yu
+ Generalized Hermite spectral method matching asymptotic behaviors 2013 Chao Zhang
Ben‐yu Guo
+ Some progress in spectral methods 2013 Ben‐yu Guo
+ Spectral Method for Navier–Stokes Equations with Slip Boundary Conditions 2013 Ben‐yu Guo
Yujian Jiao
+ Generalized Jacobi-Gauss-Lobatto interpolation 2013 Zheng-su Wan
Ben‐yu Guo
Chengjian Zhang
+ Generalized Jacobi Approximation in Multiple Dimensions and Its Applications 2012 Tao Sun
Ben‐yu Guo
+ The spectral method for high order problems with proper simulations of asymptotic behaviors at infinity 2012 Ben‐yu Guo
Chao Zhang
+ Domain Decomposition Spectral Method for Mixed Inhomogeneous Boundary Value Problems of High Order Differential Equations on Unbounded Domains 2012 Chao Zhang
Ben‐yu Guo
+ PDF Chat Spectral Method for Mixed Inhomogeneous Boundary Value Problems in Three Dimensions 2012 Tian‐jun Wang
Ben‐yu Guo
Wei Li
+ Laguerre-Gauss collocation method for initial value problems of second order ODEs 2011 Jianping Yan
Ben‐yu Guo
+ Multidomain pseudospectral methods for nonlinear convection-diffusion equations 2011 Yuanyuan Ji
Hua Wu
Heping Ma
Ben‐yu Guo
+ Generalized Jacobi rational spectral method on the half line 2011 Yong-Gang Yi
Ben‐yu Guo
+ Legendre-Gauss-Radau Collocation Method for Solving Initial Value Problems of First Order Ordinary Differential Equations 2011 Zhongqing Wang
Ben‐yu Guo
+ A Collocation Method for Initial Value Problems of Second-Order ODEs by Using Laguerre Functions 2011 Jianping Yan
Ben‐yu Guo
+ Pseudospectral method for quadrilaterals 2011 Ben‐yu Guo
Hongli Jia
+ Petrov-Galerkin spectral element method for mixed inhomogeneous boundary value problems on polygons 2010 Hongli Jia
Ben‐yu Guo
+ Composite Laguerre-Legendre Spectral Method for Fourth-Order Exterior Problems 2010 Ben‐yu Guo
Tian‐jun Wang
+ Generalized Jacobi Rational Spectral Method and Its Applications 2010 Ben‐yu Guo
Yong-Gang Yi
+ A spectral collocation method for solving initial value problems of first order ordinary differential equations 2010 Ben‐yu Guo
Zhongqing Wang
+ Spherical harmonic-generalized Laguerre pseudospectral method for three-dimensional exterior problems 2009 Zhongqing Wang
Rong Zhang
Ben‐yu Guo
+ Mixed spectral method for exterior problems of Navier-Stokes equations by using generalized Laguerre functions 2009 Yujian Jiao
Ben‐yu Guo
+ Mixed generalized Laguerre-Fourier spectral method for exterior problem of Navier-Stokes equations 2008 Ben‐yu Guo
Yujian Jiao
+ Composite Laguerre-Legendre spectral method for exterior problems 2008 Ben‐yu Guo
Tian‐jun Wang
+ PDF Chat Composite generalized Laguerre-Legendre spectral method with domain decomposition and its application to Fokker-Planck equation in an infinite channel 2008 Ben‐yu Guo
Tian‐jun Wang
+ Legendre–Gauss collocation method for initial value problems of second order ordinary differential equations 2008 Ben‐yu Guo
Jianping Yan
+ Legendre–Gauss collocation methods for ordinary differential equations 2008 Ben‐yu Guo
Zhongqing Wang
+ PDF Chat Generalized Jacobi polynomials/functions and their applications 2008 Ben‐yu Guo
Jie Shen
Li-Lian Wang
+ Fully discrete Jacobi-spherical harmonic spectral method for Navier-Stokes equations 2008 Wei Huang
Ben‐yu Guo
+ Modified Laguerre spectral and pseudospectral methods for nonlinear partial differential equations in multiple dimensions 2008 Chenglong Xu
Ben‐yu Guo
+ Mixed Fourier-Laguerre Spectral and Pseudospectral Methods for Exterior Problems Using Generalized Laguerre Functions 2008 Rong Zhang
Zhongqing Wang
Ben‐yu Guo
+ PDF Chat Jacobi rational approximation and spectral method for differential equations of degenerate type 2007 Zhongqing Wang
Ben‐yu Guo
+ Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems 2007 Yuan-Ming Wang
Ben‐yu Guo
+ PDF Chat Integration processes of ordinary differential equations based on Laguerre-Radau interpolations 2007 Ben‐yu Guo
Zhongqing Wang
Hongjiong Tian
Li-Lian Wang
+ Composite generalized Laguerre–Legendre pseudospectral method for Fokker–Planck equation in an infinite channel 2007 Tian‐jun Wang
Ben‐yu Guo
+ Mixed spectral method for three-dimensional exterior problems using spherical harmonic and generalized Laguerre functions 2007 Zhongqing Wang
Ben‐yu Guo
Wei Zhang
+ Mixed Jacobi-spherical harmonic spectral method for Navier–Stokes equations 2006 Ben‐yu Guo
Wei Huang
+ Spectral method for differential equations of degenerate type on unbounded domains by using generalized Laguerre functions 2006 Ben‐yu Guo
Xiaoyong Zhang
+ Error analysis of spectral method on a triangle 2006 Ben‐yu Guo
Li-Lian Wang
+ Stair Laguerre pseudospectral method for differential equations on the half line 2006 Li-Lian Wang
Ben‐yu Guo
+ Mixed legendre-hermite spectral method for heat transfer in an infinite plate 2006 Ben‐yu Guo
Tian‐jun Wang
+ PDF Chat Optimal Spectral-Galerkin Methods Using Generalized Jacobi Polynomials 2006 Ben‐yu Guo
Jie Shen
Li-Lian Wang
+ Mixed Fourier–Jacobi spectral method 2005 Li-Lian Wang
Ben‐yu Guo
+ Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation 2005 Ben‐yu Guo
Li-Lian Wang
+ Second order Jacobi approximation with applications to fourth-order differential equations 2005 Ben‐yu Guo
Zhongqing Wang
Zheng-su Wan
Delin Chu
+ Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces 2004 Ben‐yu Guo
Li-Lian Wang
+ Legendre rational approximation on the whole line 2004 Ben‐yu Guo
Zhongqing Wang
+ Jacobi spectral method for differential equations with Rough asymptotic behaviors at infinity 2003 Ben‐yu Guo
+ PDF Chat Mixed Laguerre-Legendre pseudospectral method for incompressible fluid flow in an infinite strip 2003 Ben‐yu Guo
Chenglong Xu
+ None 2003 Yonghoon Kwon
Ben‐yu Guo
Ki-Hyun Cha
+ None 2003 Ben‐yu Guo
Jie Shen
Chenglong Xu
+ Non-isotropic Jacobi spectral method 2003 Ben‐yu Guo
Li-Lian Wang
+ A rational approximation and its applications to nonlinear partial differential equations on the whole line 2002 Zhongqing Wang
Ben‐yu Guo
+ None 2002 Chenglong Xu
Ben‐yu Guo
+ PDF Chat Combined Hermite spectral-finite difference method for the Fokker-Planck equation 2001 Johnson C. M. Fok
Ben‐yu Guo
Tao Tang
+ PDF Chat Chebyshev rational spectral and pseudospectral methods on a semi‐infinite interval 2001 Ben‐yu Guo
Jie Shen
Zhongqing Wang
+ PDF Chat Spectral Vanishing Viscosity Method For Nonlinear Conservation Laws 2001 Ben‐yu Guo
Heping Ma
Eitan Tadmor
+ PDF Chat Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval 2000 Ben‐yu Guo
Jie Shen
+ PDF Chat Hermite pseudospectral method for nonlinear partial differential equations 2000 Ben‐yu Guo
Chenglong Xu
+ Jacobi Approximations in Certain Hilbert Spaces and Their Applications to Singular Differential Equations 2000 Ben‐yu Guo
+ None 2000 Ben‐yu Guo
Jie Shen
Zhongqing Wang
+ Parameter estimation by spectral approximation 1999 K. T. Hyun
Ben‐yu Guo
Yong Hoon Kwon
+ Error estimation of Hermite spectral method for nonlinear partial differential equations 1999 Ben‐yu Guo
+ A pseudospectral method for vorticity equations on spherical surface 1997 Weiming Cao
Ben‐yu Guo
+ Fourier-Chebyshev spectral method for solving three-dimensional vorticity equation 1995 Ben‐yu Guo
Jian Li
Heping Ma
+ PDF Chat Fourier-Chebyshev pseudospectral methods for the two-dimensional Navier-Stokes equations 1995 Ben‐yu Guo
Jian Li
+ Numerical Study of Nonlinear Waves 1995 Ben‐yu Guo
+ Fourier-Chebyshev pseudospectral method for two-dimensional vorticity equation 1993 Ben‐yu Guo
Jian Li
+ Generalized Stability Of Difference Method For Nonlinear Initial Value Problems And Its Application 1993 Ben‐yu Guo
+ Fourier Collocation Method for Solving Nonlinear Klein-Gordon Equation 1993 Weiming Cao
Ben‐yu Guo
+ Numerical Methods for Partial Differential Equations 1992 Lung-an Ying
Ben‐yu Guo
+ A spectral-difference method for two-dimensional viscous flow 1989 Ben‐yu Guo
Yeping Xiong
+ NUMERICAL STUDY OF AN INITIAL-BOUNDARY VALUE PROBLEM OF THE SINE-GORDON EQUATION 1989 Ben‐yu Guo
Xiaopu Yan
+ The fourier pseudospectral method for three-dimensional vorticity equations 1988 Ben‐yu Guo
Heping Ma
+ The Fourier pseudospectral method with a restrain operator for the RLW equation 1988 Ben‐yu Guo
Weiming Cao
+ The fourier pseudospectral method with a restrain operator for the M.K.D.V. equation 1987 Heping Ma
Ben‐yu Guo
+ Numerical solution of the reaction-diffusion equation 1985 Ben‐yu Guo
+ NUMERICAL SOLUTION OF AN INITIAL-BOUNDARY VALUE PROBLEM OF THE KORTEWEG–DE VRIES EQUATION 1985 Ben‐yu Guo
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Spectral methods and their applications 1998 Pen-yü Kuo
43
+ Numerical Analysis of Spectral Methods 1977 David Gottlieb
Steven A. Orszag
35
+ Jacobi Approximations in Certain Hilbert Spaces and Their Applications to Singular Differential Equations 2000 Ben‐yu Guo
30
+ Polynomial Approximation of Differential Equations. 1994 Eitan Tadmor
Daniele Funaro
26
+ PDF Chat Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval 2000 Ben‐yu Guo
Jie Shen
25
+ Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces 2004 Ben‐yu Guo
Li-Lian Wang
23
+ PDF Chat Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions 2000 Jie Shen
19
+ Error estimation of Hermite spectral method for nonlinear partial differential equations 1999 Ben‐yu Guo
19
+ PDF Chat Optimal Spectral-Galerkin Methods Using Generalized Jacobi Polynomials 2006 Ben‐yu Guo
Jie Shen
Li-Lian Wang
19
+ Polynomial Approximation of Differential Equations 1992 Daniele Funaro
18
+ PDF Chat Approximation of some diffusion evolution equations in unbounded domains by Hermite functions 1991 Daniele Funaro
Otared Kavian
17
+ A new generalized Laguerre spectral approximation and its applications 2005 Guo Ben‐yu
Xiaoyong Zhang
16
+ Spectral method for differential equations of degenerate type on unbounded domains by using generalized Laguerre functions 2006 Ben‐yu Guo
Xiaoyong Zhang
14
+ Laguerre spectral approximation of elliptic problems in exterior domains 1990 Olivier Coulaud
Daniele Funaro
Otared Kavian
14
+ LAGUERRE PSEUDOSPECTRAL METHOD FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS 2002 Xu
Guo
By
14
+ Generalized Laguerre Interpolation and Pseudospectral Method for Unbounded Domains 2006 Guo Ben‐yu
Wang Li-lian
Zhongqing Wang
13
+ PDF Chat Orthogonal Polynomials 1971 13
+ Gegenbauer Approximation in Certain Hilbert Spaces and Its Applications to Singular Differential Equations 1999 Guo Benyu
12
+ A new generalized Laguerre spectral approximation and its applications 2005 Guo Ben‐yu
Xiaoyong Zhang
12
+ PDF Chat Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials 1994 Jie Shen
11
+ None 2001 Guo Ben‐yu
Wang Li-lian
11
+ Spectral methods using rational basis functions on an infinite interval 1987 John P. Boyd
11
+ Direct and Inverse Approximation Theorems for the p-Version of the Finite Element Method in the Framework of Weighted Besov Spaces. Part I: Approximability of Functions in the Weighted Besov Spaces 2002 Ivo Babuška
Benqi Guo
11
+ PDF Chat Mixed Laguerre-Legendre pseudospectral method for incompressible fluid flow in an infinite strip 2003 Ben‐yu Guo
Chenglong Xu
10
+ Gegenbauer Approximation and Its Applications to Differential Equations on the Whole Line 1998 Guo Ben‐yu
10
+ Nystroem interpolants based on zeros of Laguerre polynomials for some Weiner-Hopf equations 1997 G. Mastroianni
Giovanni Monegato
10
+ Spectral method on quadrilaterals 2010 Guo Ben‐yu
Hongli Jia
10
+ <i>Finite-Difference Methods for Partial Differential Equations</i> 1961 George E. Forsythe
Wolfgang Wasow
W. Nachbar
10
+ PDF Chat Chebyshev rational spectral and pseudospectral methods on a semi‐infinite interval 2001 Ben‐yu Guo
Jie Shen
Zhongqing Wang
9
+ PDF Chat Composite generalized Laguerre-Legendre spectral method with domain decomposition and its application to Fokker-Planck equation in an infinite channel 2008 Ben‐yu Guo
Tian‐jun Wang
9
+ PDF Chat Jacobi and Laguerre quasi-orthogonal approximations and related interpolations 2012 Guo Ben‐yu
Tao Sun
Chao Zhang
9
+ Composite Legendre-Laguerre pseudospectral approximation in unbounded domains 2001 Heping Ma
9
+ None 2000 Ben‐yu Guo
Jie Shen
Zhongqing Wang
9
+ Spectral Methods for Axisymmetric Domains 1999 Christine Bernardi
Monique Dauge
Yvon Maday
8
+ Spherical Harmonic–Generalized Laguerre Spectral Method for Exterior Problems 2006 Xiaoyong Zhang
Guo Ben‐yu
8
+ Composite Laguerre-Legendre spectral method for exterior problems 2008 Ben‐yu Guo
Tian‐jun Wang
8
+ Spectral and Pseudo-Spectral Approximations of the Navier–Stokes Equations 1982 Yvon Maday
Alfio Quarteroni
8
+ Legendre–Gauss collocation methods for ordinary differential equations 2008 Ben‐yu Guo
Zhongqing Wang
8
+ PDF Chat Generalized Jacobi polynomials/functions and their applications 2008 Ben‐yu Guo
Jie Shen
Li-Lian Wang
7
+ Second order Jacobi approximation with applications to fourth-order differential equations 2005 Ben‐yu Guo
Zhongqing Wang
Zheng-su Wan
Delin Chu
7
+ PDF Chat Hermite pseudospectral method for nonlinear partial differential equations 2000 Ben‐yu Guo
Chenglong Xu
7
+ PDF Chat Integration processes of ordinary differential equations based on Laguerre-Radau interpolations 2007 Ben‐yu Guo
Zhongqing Wang
Hongjiong Tian
Li-Lian Wang
7
+ PDF Chat Orthogonal rational functions on a semi-infinite interval 1987 John P. Boyd
7
+ Convergence of fourier methods for Navier-Stokes equations 1981 Ole H. Hald
7
+ The eigenvalues of Hermite and rational spectral differentiation matrices 1992 J. A. C. Weideman
6
+ Error analysis of spectral method on a triangle 2006 Ben‐yu Guo
Li-Lian Wang
6
+ Generalized Jacobi Rational Spectral Method and Its Applications 2010 Ben‐yu Guo
Yong-Gang Yi
6
+ Some spectral approximations for differential equations in unbounded domains 1992 Vicente Iranzo
Albert Falqués
6
+ Numerical integration based on Laguerre–Gauss interpolation 2007 Guo Ben‐yu
Zhongqing Wang
6
+ The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation 1986 Heping Ma
Guo Ben‐yu
6