B. Guo

发表

A Multistep Legendre-Gauss Spectral Collocation Method for Nonlinear Volterra Integral Equations

Ben-yu Guo, Zhong-Qing Wang, Chang-Tao Sheng, 2014, SIAM J. Numer. Anal..

A spectral collocation method for solving initial value problemsof first order ordinary differential equations

Zhongqing Wang, B. Guo, Zhong-qing Wang, 2010 .

Generalized Laguerre Interpolation and Pseudospectral Method for Unbounded Domains

Ben-yu Guo, Li-Lian Wang, Zhong-Qing Wang, 2006, SIAM J. Numer. Anal..

The spectral method for high order problems with proper simulations of asymptotic behaviors at infinity

Chao Zhang, Ben-yu Guo, Chao Zhang, 2013, J. Comput. Appl. Math..

Composite Legendre–Laguerre pseudospectral approximation in unbounded domains

B. Guo, He-ping Ma, 2001 .

SOME DEVELOPMENTS IN SPECTRAL METHODS FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS IN UNBOUNDED DOMAINS

B. Guo, 2002 .

Spectral method for differential equations of degenerate type on unbounded domains by using generalized Laguerre functions

B. Guo, Xiao-yong Zhang, 2007 .

A new generalized Laguerre spectral approximation and its applications

B. Guo, Zhang Xiao-yong, 2005 .

Chebyshev rational spectral and pseudospectral methods on a semi‐infinite interval

Zhongqing Wang, B. Guo, Jie Shen, 2002 .

GENERALIZED LAGUERRE APPROXIMATION AND ITS APPLICATIONS TO EXTERIOR PROBLEMS

B. Guo, Jie Shen, C. Xu, 2005 .

Modified Laguerre spectral and pseudospectral methods for nonlinear partial differential equations in multiple dimensions

B. Guo, Cheng-long Xu, 2008 .

Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems

Yuan-Ming Wang, B. Guo, 2008 .

Composite generalized Laguerre--Legendre pseudospectral method for Fokker--Planck equation in an infinite channel

B. Guo, Tian-jun Wang, 2008 .

Mixed spectral method for three-dimensional exterior problems using spherical harmonic and generalized Laguerre functions

Zhongqing Wang, B. Guo, Wei Zhang, 2008 .

Hermite pseudospectral method for nonlinear partial differential equations

B. Guo, Cheng-long Xu, 2000 .

On spectral approximations using modified Legendre rational functions: Application to the Korteweg-de Vries equation on the half line

B. Guo, Jie Shen, 2001 .

A rational approximation and its applications to nonlinear partial differential equations on the whole line

Zhongqing Wang, B. Guo, 2002 .

Some progress in spectral methods

B. Guo, 2013 .

Spectral and pseudospectral methods for unbounded domains

B. Guo, 2015 .

Domain Decomposition Spectral Method for Mixed Inhomogeneous Boundary Value Problems of High Order Differential Equations on Unbounded Domains

Chao Zhang, Ben-yu Guo, Chao Zhang, 2012, J. Sci. Comput..

The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation

B. Guo, He-ping Ma, 1986 .

Jacobi Approximations in Certain Hilbert Spaces and Their Applications to Singular Differential Equations

Ben-Yu Guo, B. Guo, 2000 .

Generalized Jacobi polynomials/functions and their applications

Jie Shen, Li-Lian Wang, Ben-Yu Guo, 2009 .

Navier–Stokes equations with slip boundary conditions

Ben-yu Guo, B. Guo, 2008 .

A Collocation Method for Initial Value Problems of Second-Order ODEs by Using Laguerre Functions

B. Guo, Jianfeng Yan, 2011 .

Spectral-finite element method for compressible fluid flows

Weiming Cao, B. Guo, 1992 .

Spectral-finite element method for solving two-dimensional vorticity equations

Weiming Cao, B. Guo, 1991 .

Non-Isotropic Jacobi Spectral and Pseudospectral Methods in Three Dimensions

B. Guo, Yu-jian Jiao, Sheng Chen, 2015 .

SPECTRAL AND SPECTRAL ELEMENT METHODS FOR HIGH ORDER PROBLEMS WITH MIXED BOUNDARY CONDITIONS

B. Guo, Chao Zhang, T. Sun, 2014 .

Generalized Jacobi-Gauss-Lobatto interpolation

Chengjian Zhang, B. Guo, Zheng-Su Wan, 2013 .

Optimal Spectral-Galerkin Methods Using Generalized

B. Guo, Jie Shen, Lilian Wang, 2006 .

NUMERICAL SOLUTION OF AN INITIAL-BOUNDARY VALUE PROBLEM OF THE KORTEWEG–DE VRIES EQUATION

B. Guo, 1985 .

Petrov-Galerkin spectral element method for mixed inhomogeneous boundary value problems on polygons

B. Guo, Hong-Li Jia, 2010 .

Monotone Finite Difference Schemes for Nonlinear Systems with Mixed Quasi-Monotonicity

Yuan-Ming Wang, B. Guo, 2002 .

Spectral Method For Navier–Stokes Equations With Non-slip Boundary Conditions By Using Divergence-Free Base Functions

B. Guo, Yu-jian Jiao, 2016, J. Sci. Comput..

Fourier-Chebyshev spectral method for solving three-dimensional vorticity equation

B. Guo, He-ping Ma, Jian Li, 1995 .

Legendre-Gauss-Radau Collocation Method for Solving Initial Value Problems of First Order Ordinary Differential Equations

B. Guo, Zhong-qing Wang, 2012, J. Sci. Comput..

Numerical Solutions of the Maxwell-Bloch Laser Equations

B. Guo, V. Pérez-García, L. Vázquez, 1996 .

Jacobi and Laguerre quasi-orthogonal approximations and related interpolations

Tao Sun, Ben-yu Guo, Chao Thang, 2013, Math. Comput..

Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation

B. Guo, Lilian Wang, 2006 .

Optimal Spectral-Galerkin Methods Using Generalized Jacobi Polynomials

Jie Shen, Ben-yu Guo, Li-Lian Wang, 2006, J. Sci. Comput..

A collocation method for generalized nonlinear Klein-Gordon equation

Ben-yu Guo, Zhong-Qing Wang, B. Guo, 2014, Adv. Comput. Math..

A collocation method for generalized nonlinear Klein-Gordon equation

B. Guo, Zhong-qing Wang, 2013, Advances in Computational Mathematics.

Jacobi rational approximation and spectral method for differential equations of degenerate type

Ben-yu Guo, Zhong-Qing Wang, B. Guo, 2007, Math. Comput..

Analytic solutions of the Fisher equation

Ben-yu Guo, B. Guo, Zhi-xiong Chen, 1991 .

Analytic solutions of carrier flow equations via the Painleve analysis approach

B. Guo, Zhi Chen, 1989 .

A NOTE ON THE ONSET OF MELTING IN A CLASS OF SIMPLE METALS CONDITION ON THE APPLIED BOUNDARY FLUX

Rogers Colin, Benyu Guo, B. Guo, 1988 .

Analytic solutions of a reaction diffusion system arising in the theory of superconductivity

B. Guo, Yi Gu, Yuan Gu, 1999 .

Generalized Hermite Spectral Method Matching Different Algebraic Decay at infinities

Chao Zhang, Ben-yu Guo, Chao Zhang, 2015, J. Sci. Comput..

Generalized Jacobi Rational Spectral Method and Its Applications

Ben-yu Guo, Yong-Gang Yi, B. Guo, 2010, J. Sci. Comput..

Iterative and Petrov-Galerkin methods for solving a system of one-dimensional nonlinear elliptic equations

B. Guo, John J. H. Miller, 1992 .

Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval

Jie Shen, Ben-yu Guo, B. Guo, 2000, Numerische Mathematik.

Mixed Laguerre-Legendre pseudospectral method for incompressible fluid flow in an infinite strip

Ben-yu Guo, Cheng-long Xu, B. Guo, 2004, Math. Comput..

A combined spectral-finite element method for solving two-dimensional unsteady navier-stokes equations

Weiming Cao, B. Guo, 1992 .

SPECTRAL-FINITE ELEMENT METHOD FOR COMPRESSIBLE FLUID FLOW

Weiming Cao, B. Guo, 1992 .

A pseudospectral method for vorticity equations on spherical surface

Weiming Cao, B. Guo, 1997 .

Composite generalized Laguerre-Legendre spectral method with domain decomposition and its application to Fokker-Planck equation in an infinite channel

Ben-yu Guo, Tian-Jun Wang, B. Guo, 2009, Math. Comput..

Combined Hermite spectral-finite difference method for the Fokker-Planck equation

Tao Tang, Johnson C. M. Fok, Benyu Guo, 2002, Math. Comput..

Legendre–Gauss collocation methods for ordinary differential equations

Ben-yu Guo, Zhong-Qing Wang, B. Guo, 2009, Adv. Comput. Math..

Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces

Ben-yu Guo, Li-Lian Wang, B. Guo, 2004, J. Approx. Theory.

Stair Laguerre pseudospectral method for differential equations on the half line

Ben-yu Guo, Li-Lian Wang, B. Guo, 2006, Adv. Comput. Math..

Legendre--Gauss collocation method for initial value problems of second order ordinary differential equations

Ben-Yu Guo, B. Guo, Jianfeng Yan, 2009 .

Generalized Jacobi rational spectral method on the half line

B. Guo, Y. Yi, 2012, Adv. Comput. Math..

Spectral Vanishing Viscosity Method For Nonlinear Conservation Laws

Ben-yu Guo, Eitan Tadmor, He-ping Ma, 2001, SIAM J. Numer. Anal..

Spectral Method for Vorticity-Stream Function Form of Navier–Stokes Equations in an Infinite Channel with Slip Boundary Conditions

Xu-Hong Yu, Ben-yu Guo, B. Guo, 2017, Journal of Scientific Computing.

Spectral Method for Vorticity-Stream Function Form of Navier–Stokes Equations in an Infinite Channel with Slip Boundary Conditions

B. Guo, Xu-hong Yu, 2017, Journal of Scientific Computing.

Spectral Method for Navier–Stokes Equations with Slip Boundary Conditions

B. Guo, Yu-jian Jiao, 2013, Journal of Scientific Computing.

Mixed Jacobi-spherical harmonic spectral method for Navier--Stokes equations

Ben-Yu Guo, B. Guo, Wei Tao Huang, 2007 .

Spectral Method for Navier–Stokes Equations with Slip Boundary Conditions

Ben-yu Guo, Yu-jian Jiao, B. Guo, 2014, J. Sci. Comput..

Spectral and Pseudospectral Approximations Using Hermite Functions: Application to the Dirac Equation

Jie Shen, Ben-yu Guo, Cheng-long Xu, 2003, Adv. Comput. Math..

Numerical Methods For Partial Differential Equations

B. Guo, Young Zhu, Marcel Bauer, 2016 .

The convergence of numerical method for nonlinear Schro¨dinger equation

Ben-yu Guo, B. Guo, 1986 .

Jacobi interpolation approximations and their applications to singular differential equations

Ben-yu Guo, Li-Lian Wang, B. Guo, 2001, Adv. Comput. Math..

The Fourier pseudospectral method with a restrain operator for the RLW equation

Weiming Cao, Ben-Yu Guo, Weiming Cao, 1988 .

Error estimation of Hermite spectral method for nonlinear partial differential equations

Ben-yu Guo, B. Guo, 1999, Math. Comput..

Localization and approximation of attractors for the Kuramoto-Sivashinsky equations

B. Guo, Yujiang Wu, 2000 .

A new generalized Laguerre spectral approximation and its applications

B. Guo, G. Ben-yu, Z. Xiaoyong, 2005 .

Corrigendum: Fourier Spectral Approximation to a Dissipative System Modeling the Flow of Liquid Crystals

Jie Shen, Ben-yu Guo, Qiang Du, 2001, SIAM J. Numer. Anal..

Legendre-Gauss-Radau Collocation Method for Solving Initial Value Problems of First Order Ordinary Differential Equations

Ben-yu Guo, Zhong-Qing Wang, B. Guo, 2012, J. Sci. Comput..

Integration processes of ordinary differential equations based on Laguerre-Radau interpolations

Ben-yu Guo, Li-Lian Wang, Zhong-Qing Wang, 2008, Math. Comput..

Fourier Collocation Method for Solving Nonlinear Klein-Gordon Equation

Weiming Cao, Ben-Yu Guo, Weiming Cao, 1993 .

An hp-spectral collocation method for nonlinear Volterra functional integro-differential equations with delays

Zhong-Qing Wang, Ben-Yu Guo, Changtao Sheng, 2016 .

Composite Laguerre-Legendre spectral method for exterior problems

Ben-yu Guo, Tian-Jun Wang, B. Guo, 2010, Adv. Comput. Math..

Laguerre-Gauss collocation method for initial value problems of second order ODEs

B. Guo, Jianfeng Yan, 2011 .

Spectral Methods and Their Applications

B. Guo, G. Ben-yu, 1998 .

A new approach for numerical identification of conductivity

B. Guo, YongHoon Kwon, Chung-Ki Cho, 1999, Appl. Math. Comput..

Spectral Method for Fourth-Order Problems on Quadrilaterals

Xu-Hong Yu, Ben-yu Guo, B. Guo, 2015, Journal of Scientific Computing.

Spectral Element Method for Mixed Inhomogeneous Boundary Value Problems of Fourth Order

Xu-Hong Yu, Ben-yu Guo, B. Guo, 2014, Journal of Scientific Computing.

Composite Spectral Method for Exterior Problems with Polygonal Obstacles

Xu-Hong Yu, Ben-yu Guo, B. Guo, 2013, Journal of Scientific Computing.

Some progress in spectral methods

B. Guo, 2013, Science China Mathematics.

Generalized Jacobi Approximation in Multiple Dimensions and Its Applications

Tao Sun, Ben-yu Guo, B. Guo, 2013, J. Sci. Comput..

Generalized Jacobi Approximation in Multiple Dimensions and Its Applications

B. Guo, T. Sun, 2012, Journal of Scientific Computing.

Multidomain pseudospectral methods for nonlinear convection-diffusion equations

Ben-yu Guo, Heping Ma, B. Guo, 2011 .

Pseudospectral method for quadrilaterals

Ben-yu Guo, Hong-Li Jia, B. Guo, 2011, J. Comput. Appl. Math..

Spectral method on quadrilaterals

Ben-yu Guo, Hong-Li Jia, B. Guo, 2010, Math. Comput..

A SPECTRAL METHOD FOR MIXED BOUNDARY VALUE PROBLEMS ON HEXAHEDRONS

B. Guo, Tian-jun Wang, 2015 .

Petrov-Galerkin methods for nonlinear systems without monotonicity

Yuan-Ming Wang, B. Guo, 2001 .

An almost monotone approximation for a nonlinear two‐point boundary value problem

Ben-yu Guo, Yuan-Ming Wang, Yuan-Ming Wang, 1998, Adv. Comput. Math..

Fully discrete Jacobi-spherical harmonic spectral method for Navier-Stokes equations

B. Guo, Wei Huang, 2008 .

Interpolation approximations based on Gauss-Lobatto-Legendre-Birkhoff quadrature

Ben-yu Guo, Li-Lian Wang, B. Guo, 2009, J. Approx. Theory.