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## Guo, Ben-Yu

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 Author ID: guo.ben-yu Published as: Guo, B. Y.; Guo, B.-Y.; Guo, Ben Yu; Guo, Ben-Yu; Guo, Ben-Yu.; Guo, Ben-yu; Guo, Benju; Guo, Benyu; Kuo, Penyu External Links: MGP · dblp · GND
 Documents Indexed: 292 Publications since 1974, including 4 Books Biographic References: 2 Publications
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#### Co-Authors

 61 single-authored 26 Ma, Heping 26 Wang, Zhongqing 22 Cao, Weiming 16 Wang, Lilian 10 Shen, Jie 10 Wang, Yuanming 9 Li, Jian 9 Xu, Chenglong 8 Chen, Zhixiong 8 Jiao, Yujian 8 Wang, Tianjun 8 Zhang, Chao 7 He, Liping 7 Xiong, Yueshan 6 Mitchell, Andrew Ronald 5 Chen, Suiyang 5 Zhang, Xiaoyong 4 He, Songnian 4 Huang, Wei 4 Jia, Hongli 4 Kwon, YongHoon 4 Mao, Dekang 4 Sun, Tao 4 Yu, Xuhong 4 Zheng, Jiadong 3 Hou, Jingyu 3 Li, Xun 3 Manoranjan, Valipuram S. 3 Rogers, Colin 3 Sleeman, Brian D. 3 Vázquez, Luis 3 Wan, Zhengsu 3 Yan, Jianping 2 Cha, Ki-Hyun 2 Miller, John James Henry 2 Rashid, Abdur 2 Sheng, Changtao 2 Wu, Yujiang 2 Yi, Yong-Gang 2 Zhang, Rong 2 Zou, Jun 1 Cai, Zhiqiang 1 Carillo, Sandra 1 Chen, Sheng 1 Cho, Chung-Ki 1 Chu, Delin 1 Conte, Rosaria 1 Du, Qiang 1 Fok, Johnson C. M. 1 Griffiths, David F. 1 Gu, Yi 1 Gu, Yuan 1 Huang, Hui 1 Hyun, Cha Ki 1 Ji, Yuanyuan 1 Li, Wei 1 Martín, Isaac 1 Pascual, Pedro J. 1 Pérez-García, Víctor Manuel 1 Rodríguez, María J. G. 1 Shi, ong-ci 1 Siegel, David 1 Sunl, Tao 1 Tadmor, Eitan 1 Tahira, N. Buttar 1 Tang, Tao 1 Tian, Hongjiong 1 Wu, Hua 1 Wu, Huamo 1 Wu, Wen-Jia 1 Wu, Yan-Na 1 Xiang, Longwan 1 Yan, Xiaopu 1 Yang, Zhonghua 1 Ying, Longan 1 Zhang, Chengjian 1 Zhang, Keji 1 Zhang, Rufen 1 Zhang, Wei 1 Zhu, Youlan
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#### Serials

 35 Journal of Computational Mathematics 17 Journal of Scientific Computing 11 Advances in Computational Mathematics 10 Mathematics of Computation 10 SIAM Journal on Numerical Analysis 10 Acta Mathematicae Applicatae Sinica. English Series 9 Journal of Computational and Applied Mathematics 9 Numerical Mathematics 9 Applied Numerical Mathematics 8 Journal of Mathematical Analysis and Applications 8 Applied Mathematics and Mechanics. (English Edition) 8 Numerical Mathematics 7 Journal of Computational Physics 7 Applied Mathematics and Computation 6 Acta Mathematica Sinica 6 Journal of Shanghai University of Science and Technology 5 Science in China. Series A 4 Mathematical Methods in the Applied Sciences 4 Journal of Mathematical Research & Exposition 4 Northeastern Mathematical Journal 3 Computers & Mathematics with Applications 3 IMA Journal of Numerical Analysis 3 Numerische Mathematik 3 Mathematica Numerica Sinica 3 Chinese Annals of Mathematics. Series B 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Scientia Sinica. Series A 3 Acta Mathematica Scientia 3 Applied Mathematics. Series B (English Edition) 3 Computational and Applied Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Numerical Mathematics: Theory, Methods and Applications 2 Journal of Approximation Theory 2 Bulletin of the Greek Mathematical Society 2 Advances in Mathematics 2 Kexue Tongbao 2 Acta Mathematica Sinica. New Series 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Scientia Sinica 1 Applicable Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Applied Mathematics 1 Journal of Mathematical Physics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Calcolo 1 Indiana University Mathematics Journal 1 International Journal for Numerical Methods in Engineering 1 Acta Mechanica Sinica 1 Acta Mathematicae Applicatae Sinica 1 Chinese Annals of Mathematics. Series A 1 COMPEL 1 Japan Journal of Industrial and Applied Mathematics 1 Computational Mathematics and Mathematical Physics 1 International Journal of Computer Mathematics 1 Journal of Physics A: Mathematical and General 1 Journal of Hydrodynamics 1 Journal of Partial Differential Equations 1 Applied Mathematics 1 Computer Mathematics and its Applications 1 Discrete and Continuous Dynamical Systems 1 Communications in Applied Analysis 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Mathematical Study 1 HERMIS-$$\mu\pi$$. Hellenic European Research on Mathematics and Informatics Science 1 International Journal of Numerical Analysis and Modeling 1 Lecture Notes in Mathematics 1 Frontiers of Mathematics in China 1 Communications in Computational Physics 1 Science China. Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 229 Numerical analysis (65-XX) 156 Partial differential equations (35-XX) 102 Fluid mechanics (76-XX) 32 Ordinary differential equations (34-XX) 24 Approximations and expansions (41-XX) 11 Quantum theory (81-XX) 8 Biology and other natural sciences (92-XX) 7 Special functions (33-XX) 6 Operator theory (47-XX) 6 Geophysics (86-XX) 4 Optics, electromagnetic theory (78-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Integral equations (45-XX) 3 Functional analysis (46-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH Open

210 Publications have been cited 2,208 times in 916 Documents Cited by Year
Spectral methods and their applications. Zbl 0906.65110
Guo, Ben-Yu
1998
Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces. Zbl 1057.41003
Guo, Ben-yu; Wang, Li-lian
2004
Numerical solution of the sine-Gordon equation. Zbl 0622.65131
Guo, Benyu; Pascual, Pedro J.; Rodriguez, María J.; Vázquez, Luis
1986
Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047
Guo, Benyu; Shen, Jie; Wang, Li-Lian
2006
Jacobi approximations in certain Hilbert spaces and their applications to singular differential equations. Zbl 0951.41006
Guo, Benyu
2000
Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval. Zbl 0969.65094
Guo, Ben-Yu; Shen, Jie
2000
Error estimation of Hermite spectral method for nonlinear partial differential equations. Zbl 0918.65069
Guo, Ben-yu
1999
A rational approximation and its applications to differential equations on the half line. Zbl 0984.65104
Guo, Benyu; Shen, Jie; Wang, Zhongqing
2000
Jacobi interpolation approximations and their applications to singular differential equations. Zbl 0984.41004
Guo, Benyu; Wang, Lilian
2001
Generalized Jacobi polynomials/functions and their applications. Zbl 1171.33006
Guo, Ben-Yu; Shen, Jie; Wang, Li-Lian
2009
Generalized Laguerre interpolation and pseudospectral method for unbounded domains. Zbl 1116.41002
Guo, Ben-Yu; Wang, Li-Lian; Wang, Zhong-Qing
2006
Spectral and pseudospectral approximations using Hermite functions: Application to the Dirac equation. Zbl 1032.33004
Guo, Ben-yu; Shen, Jie; Xu, Cheng-long
2003
Chebyshev rational spectral and pseudospectral methods on a semi-infinite interval. Zbl 1001.65129
Guo, Benyu; Shen, Jie; Wang, Zhongqing
2002
Jacobi spectral approximations to differential equations on the half line. Zbl 0948.65071
Guo, Benyu
2000
A new generalized Laguerre spectral approximation and its applications. Zbl 1072.65155
Guo, Benyu; Zhang, Xiaoyong
2005
Combined Hermite spectral-finite difference method for the Fokker-Planck equation. Zbl 1007.65068
Fok, Johnson C. M.; Guo, Benyu; Tang, Tao
2002
Gegenbauer approximation and its applications to differential equations on the whole line. Zbl 0913.41020
Guo, Ben-yu
1998
Laguerre pseudospectral method for nonlinear partial differential equations. Zbl 1005.65115
Xu, Chenglong; Guo, Benyu
2002
Legendre-Gauss collocation methods for ordinary differential equations. Zbl 1162.65375
Guo, Ben-yu; Wang, Zhong-qing
2009
The Fourier pseudospectral method with a restrain operator for the RLW equation. Zbl 0684.65097
Guo, Benyu; Cao, Weiming
1988
Hermite pseudospectral method for nonlinear partial differential equations. Zbl 0966.65072
Guo, Benyu; Xu, Chenglong
2000
A Legendre spectral method for solving the nonlinear Klein-Gordon equation. Zbl 0856.65117
Guo, Ben-Yu; Li, Xun; Vázquez, Luis
1996
A multistep Legendre-Gauss spectral collocation method for nonlinear Volterra integral equations. Zbl 1305.65246
Sheng, Chang-Tao; Wang, Zhong-Qing; Guo, Ben-Yu
2014
Spectral method for differential equations of degenerate type on unbounded domains by using generalized Laguerre functions. Zbl 1119.65097
Guo, Ben-Yu; Zhang, Xiao-Yong
2007
Legendre-Gauss collocation method for initial value problems of second order ordinary differential equations. Zbl 1162.65374
Guo, Ben-Yu; Yan, Jian-Ping
2009
Spectral vanishing viscosity method for nonlinear conservation laws. Zbl 1020.65071
Guo, Ben-yu; Ma, He-ping; Tadmor, Eitan
2001
Composite generalized Laguerre-Legendre spectral method with domain decomposition and its application to Fokker-Planck equation in an infinite channel. Zbl 1198.65200
Guo, Ben-Yu; Wang, Tian-Jun
2009
Generalized Laguerre approximation and its applications to exterior problems. Zbl 1073.65130
Guo, Benyu; Shen, Jie; Xu, Chenglong
2005
On spectral approximations using modified Legendre rational functions: Application to the Korteweg-de Vries equation on the half line. Zbl 0992.65111
Guo, Ben-Yu; Shen, Jie
2001
Gegenbauer approximation in certain Hilbert spaces and its applications to singular differential equations. Zbl 0947.65112
Guo, Ben-Yu
2000
Legendre-Gauss-Radau collocation method for solving initial value problems of first order ordinary differential equations. Zbl 1255.65133
Wang, Zhong-qing; Guo, Ben-yu
2012
Generalized Jacobi rational spectral method and its applications. Zbl 1203.33013
Guo, Ben-Yu; Yi, Yong-Gang
2010
Composite Laguerre-Legendre spectral method for exterior problems. Zbl 1189.65238
Guo, Ben-yu; Wang, Tian-jun
2010
Integration processes of ordinary differential equations based on Laguerre-Radau interpolations. Zbl 1127.65047
Guo, Ben-Yu; Wang, Zhong-Qing; Tian, Hong-Jiong; Wang, Li-Lian
2008
A spectral method for the vorticity equation on the surface. Zbl 0827.76056
Guo, Benyu
1995
Analytic solutions of the Nagumo equation. Zbl 0774.35085
Chen, Zhixiong; Guo, Benyu
1992
Jacobi and Laguerre quasi-orthogonal approximations and related interpolations. Zbl 1264.41008
Guo, Ben-Yu; Sunl, Tao; Zhang, Chao
2013
Spectral method on quadrilaterals. Zbl 1207.65141
Guo, Ben-Yu; Jia, Hong-Li
2010
Mixed Laguerre-Legendre pseudospectral method for incompressible fluid flow in an infinite strip. Zbl 1093.76047
Guo, Benyu; Xu, Chenglong
2004
A rational approximation and its applications to nonlinear partial differential equations on the whole line. Zbl 1121.41303
Wang, Zhong-Qing; Guo, Ben-Yu
2002
Composite Legendre-Laguerre approximation in unbounded domains. Zbl 0980.65135
Guo, Benyu; Ma, Heping
2001
A Legendre pseudospectral method for solving nonlinear Klein-Gordon equation. Zbl 0876.65073
Li, Xun; Guo, B. Y.
1997
Composite generalized Laguerre-Legendre pseudospectral method for Fokker-Planck equation in an infinite channel. Zbl 1151.65077
Wang, Tian-Jun; Guo, Ben-Yu
2008
Numerical integration based on Laguerre-Gauss interpolation. Zbl 1173.65312
Guo, Benyu; Wang, Zhongqing
2007
Second order Jacobi approximation with applications to fourth-order differential equations. Zbl 1081.65080
Guo, Ben-yu; Wang, Zhong-qing; Wan, Zheng-su; Chu, Delin
2005
Fourier collocation method for solving nonlinear Klein-Gordon equation. Zbl 0791.65095
Cao, Weiming; Guo, Benyu
1993
A spectral-difference method for solving two-dimensional vorticity equations. Zbl 0668.76022
Guo, Benyu
1988
Generalized Jacobi rational spectral method on the half line. Zbl 1259.65156
Yi, Yong-gang; Guo, Ben-yu
2012
Fourier spectral approximation to a dissipative system modeling the flow of liquid crystals. Zbl 1007.76057
Du, Qiang; Guo, Benyu; Shen, Jie
2001
Spectral method for solving Navier-Stokes equation. Zbl 0626.76034
Guo, Benyu
1985
Composite Laguerre-Legendre spectral method for fourth-order exterior problems. Zbl 1203.65265
Guo, Ben-Yu; Wang, Tian-Jun
2010
Error analysis of spectral method on a triangle. Zbl 1116.65122
Guo, Ben-yu; Wang, Li-Lian
2007
Modified Legendre rational spectral method for the whole line. Zbl 1071.65158
Wang, Zhongqing; Guo, Benyu
2004
Modified Chebyshev rational spectral method for the whole line. Zbl 1060.65112
Guo, Ben-Yu; Wang, Zhongqing
2003
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
The convergence of a numerical method for the nonlinear Schrödinger equation. Zbl 0598.65092
Guo, Benyu
1986
Spectral element method for mixed inhomogeneous boundary value problems of fourth order. Zbl 1305.65236
Yu, Xu-Hong; Guo, Ben-Yu
2014
Generalized Hermite spectral method matching asymptotic behaviors. Zbl 1291.65251
Zhang, Chao; Guo, Ben-yu
2014
Pseudospectral method using generalized Laguerre functions for singular problems on unbounded domains. Zbl 1169.65113
Wang, Zhong-Qing; Guo, Ben-Yu; Wu, Yan-Na
2009
Jacobi rational approximation and spectral method for differential equations of degenerate type. Zbl 1132.41315
Wang, Zhong-Qing; Guo, Ben-Yu
2008
The fully discrete Legendre spectral approximation of two-dimensional unsteady incompressible fluid flow in stream function form. Zbl 0909.76067
Guo, Ben-yu; He, Li-ping
1998
The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation. Zbl 0589.65077
Ma, Heping; Guo, Benyu
1986
Petrov-Galerkin spectral element method for mixed inhomogeneous boundary value problems on polygons. Zbl 1218.65136
Jia, Hongli; Guo, Benyu
2010
A spectral collocation method for solving initial value problems of first order ordinary differential equations. Zbl 1205.65225
Guo, Ben-Yu; Wang, Zhong-Qing
2010
Fourier spectral projection method and nonlinear convergence analysis for Navier–Stokes equations. Zbl 1040.35061
Guo, Ben Yu; Zou, Jun
2003
On Numerov scheme for nonlinear two-points boundary value problem. Zbl 0921.65058
Wang, Yuanming; Guo, Benyu
1998
Combined finite element and pseudospectral method for the two-dimensional evolutionary Navier–Stokes equations. Zbl 0778.76051
Guo, Benyu; Ma, Heping
1993
The convergence of the spectral scheme for solving two-dimensional vorticity equations. Zbl 0599.76030
Guo, Benyu
1983
An $$hp$$-spectral collocation method for nonlinear Volterra functional integro-differential equations with delays. Zbl 1416.65551
Sheng, Chang-Tao; Wang, Zhong-Qing; Guo, Ben-Yu
2016
Some progress in spectral methods. Zbl 1304.65227
Guo, Benyu
2013
Non-isotropic Jacobi spectral method. Zbl 1040.65097
Guo, Benyu; Wang, Lilian
2003
Mixed Laguerre-Legendre spectral method for incompressible flow in an infinite strip. Zbl 0992.76071
Xu, Chenglong; Guo, Benyu
2002
An augmented Lagrangian method for parameter identifications in parabolic systems. Zbl 0995.35080
Guo, Ben-yu; Zou, Jun
2001
Composite Legendre-Laguerre pseudospectral approximation in unbounded domains. Zbl 0993.65106
Ma, Heping; Guo, Benyu
2001
The Fourier pseudo-spectral method for the SRLW equation. Zbl 0729.65074
Zheng, Jiadong; Zhang, Rufen; Guo, Benyu
1989
Domain decomposition spectral method for mixed inhomogeneous boundary value problems of high order differential equations on unbounded domains. Zbl 1273.65183
Zhang, Chao; Guo, Ben-Yu
2012
A collocation method for initial value problems of second-order ODEs by using Laguerre functions. Zbl 1249.65153
Yan, Jianping; Guo, Benyu
2011
On non-isotropic Jacobi pseudospectral method. Zbl 1174.65052
Guo, Benyu; Zhang, Keji
2008
A monotone compact implicit scheme for nonlinear reaction-diffusion equations. Zbl 1174.65030
Wang, Yuanming; Guo, Benyu
2008
Spherical harmonic-generalized Laguerre spectral method for exterior problems. Zbl 1099.76048
Zhang, Xiaoyong; Guo, Benyu
2006
Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation. Zbl 1087.65079
Guo, Ben-Yu; Wang, Li-Lian
2006
Legendre rational approximation on the whole line. Zbl 1084.41006
Guo, Benyu; Wang, Zhongqing
2004
Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions. Zbl 1213.65125
Xu, Cheng-Long; Guo, Ben-Yu
2003
An almost monotone approximation for a nonlinear two-point boundary value problem. Zbl 0892.65054
Guo, Benyu; Wang, Yuanming
1998
Generalized stability of discretization and its applications to numerical solutions of nonlinear differential equations. Zbl 0811.65071
Guo, Benyu
1994
A spectral-difference method for two-dimensional viscous flow. Zbl 0679.76036
Guo, Benyu; Xiong, Yeushan
1989
A note on the onset of melting in a class of simple metals condition on the applied boundary flux. Zbl 0677.35055
Rogers, Colin; Guo, Benyu
1988
The Fourier pseudospectral method for two-dimensional vorticity equations. Zbl 0607.76019
Ma, Heping; Guo, Benyu
1987
Composite Laguerre-Legendre pseudospectral method for exterior problems. Zbl 1364.65266
Wang, Tian-Jun; Guo, Ben-Yu
2009
Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems. Zbl 1154.65079
Wang, Yuan-Ming; Guo, Ben-Yu
2008
Mixed Jacobi-spherical harmonic spectral method for Navier-Stokes equations. Zbl 1123.76046
Guo, Benyu; Huang, Wei
2007
Iterative and Petrov-Galerkin methods for solving a system of one- dimensional nonlinear elliptic equations. Zbl 0812.65077
Guo, Ben-yu; Miller, J. J. H.
1992
A combined spectral-finite element method for solving two-dimensional unsteady Navier-Stokes equations. Zbl 0758.76032
Guo, Benyu; Cao, Weiming
1992
On Harry-Dym equation and its solution. Zbl 0686.35098
Guo, Benyu; Rogers, C.
1989
Bifurcation studies in reaction-diffusion. Zbl 0555.65073
Manoranjan, V. S.; Mitchell, A. R.; Sleeman, B. D.; Kuo, Penyu
1984
A collocation method for generalized nonlinear Klein-Gordon equation. Zbl 1300.65072
Guo, Ben-Yu; Wang, Zhong-Qing
2014
A spectral method for three-dimensional nonlinear Klein-Gordon equation by using generalized Laguerre and spherical harmonic functions. Zbl 1199.65354
Zhang, Xiaoyong; Guo, Benyu; Jiao, Yujian
2009
Interpolation approximations based on Gauss-Lobatto-Legendre-Birkhoff quadrature. Zbl 1179.47014
Wang, Li-Lian; Guo, Ben-Yu
2009
Irrational approximations and their applications to partial differential equations in exterior domains. Zbl 1140.65087
Guo, Ben-yu; Shen, Jie
2008
An $$hp$$-spectral collocation method for nonlinear Volterra functional integro-differential equations with delays. Zbl 1416.65551
Sheng, Chang-Tao; Wang, Zhong-Qing; Guo, Ben-Yu
2016
Spectral method for fourth-order problems on quadrilaterals. Zbl 1338.65258
Yu, Xu-hong; Guo, Ben-yu
2016
Spectral method for Navier-Stokes equations with non-slip boundary conditions by using divergence-free base functions. Zbl 1457.65143
Guo, Ben-yu; Jiao, Yu-jian
2016
Generalized Hermite spectral method matching different algebraic decay at infinities. Zbl 1329.41024
Guo, Ben-yu; Zhang, Chao
2015
A multistep Legendre-Gauss spectral collocation method for nonlinear Volterra integral equations. Zbl 1305.65246
Sheng, Chang-Tao; Wang, Zhong-Qing; Guo, Ben-Yu
2014
Spectral element method for mixed inhomogeneous boundary value problems of fourth order. Zbl 1305.65236
Yu, Xu-Hong; Guo, Ben-Yu
2014
Generalized Hermite spectral method matching asymptotic behaviors. Zbl 1291.65251
Zhang, Chao; Guo, Ben-yu
2014
A collocation method for generalized nonlinear Klein-Gordon equation. Zbl 1300.65072
Guo, Ben-Yu; Wang, Zhong-Qing
2014
Fourth-order compact finite difference methods and monotone iterative algorithms for semilinear elliptic boundary value problems. Zbl 1369.35026
Wang, Yuan-Ming; Guo, Ben-Yu; Wu, Wen-Jia
2014
Spectral method for Navier-Stokes equations with slip boundary conditions. Zbl 1302.76136
Guo, Ben-yu; Jiao, Yu-jian
2014
Spectral and spectral element methods for high order problems with mixed boundary conditions. Zbl 1313.65202
Guo, Benyu; Sun, Tao; Zhang, Chao
2014
Composite spectral method for exterior problems with polygonal obstacles. Zbl 1304.65255
Guo, Ben-Yu; Yu, Xu-Hong
2014
Jacobi and Laguerre quasi-orthogonal approximations and related interpolations. Zbl 1264.41008
Guo, Ben-Yu; Sunl, Tao; Zhang, Chao
2013
Some progress in spectral methods. Zbl 1304.65227
Guo, Benyu
2013
The spectral method for high order problems with proper simulations of asymptotic behaviors at infinity. Zbl 1255.65150
Guo, Ben-Yu; Zhang, Chao
2013
Generalized Jacobi approximation in multiple dimensions and its applications. Zbl 1272.65097
Sun, Tao; Guo, Ben-yu
2013
Legendre-Gauss-Radau collocation method for solving initial value problems of first order ordinary differential equations. Zbl 1255.65133
Wang, Zhong-qing; Guo, Ben-yu
2012
Generalized Jacobi rational spectral method on the half line. Zbl 1259.65156
Yi, Yong-gang; Guo, Ben-yu
2012
Domain decomposition spectral method for mixed inhomogeneous boundary value problems of high order differential equations on unbounded domains. Zbl 1273.65183
Zhang, Chao; Guo, Ben-Yu
2012
Spectral methods for mixed inhomogeneous boundary value problems in three dimensions. Zbl 1289.65266
Wang, Tianjun; Guo, Benyu; Li, Wei
2012
Mixed spectral method for Navier-Stokes equations in an infinite strip by using generalized Laguerre functions. Zbl 1263.76023
Jiao, Yujian; Guo, Benyu
2012
Spectral method for vorticity-stream function form of Navier-Stokes equations with slip boundary conditions. Zbl 1384.76041
Jiao, Yujian; Guo, Benyu
2012
Some developments in spectral methods. Zbl 1247.65133
Guo, Ben-yu; Zhang, Chao; Sun, Tao
2012
A collocation method for initial value problems of second-order ODEs by using Laguerre functions. Zbl 1249.65153
Yan, Jianping; Guo, Benyu
2011
Multidomain pseudospectral methods for nonlinear convection-diffusion equations. Zbl 1237.65112
Ji, Yuan-yuan; Wu, Hua; Ma, He-ping; Guo, Ben-yu
2011
Laguerre-Gauss collocation method for initial value problems of second order ODEs. Zbl 1238.65084
Yan, Jian-ping; Guo, Ben-yu
2011
Pseudospectral method for quadrilaterals. Zbl 1232.65155
Guo, Ben-Yu; Jia, Hong-Li
2011
Generalized Jacobi rational spectral method and its applications. Zbl 1203.33013
Guo, Ben-Yu; Yi, Yong-Gang
2010
Composite Laguerre-Legendre spectral method for exterior problems. Zbl 1189.65238
Guo, Ben-yu; Wang, Tian-jun
2010
Spectral method on quadrilaterals. Zbl 1207.65141
Guo, Ben-Yu; Jia, Hong-Li
2010
Composite Laguerre-Legendre spectral method for fourth-order exterior problems. Zbl 1203.65265
Guo, Ben-Yu; Wang, Tian-Jun
2010
Petrov-Galerkin spectral element method for mixed inhomogeneous boundary value problems on polygons. Zbl 1218.65136
Jia, Hongli; Guo, Benyu
2010
A spectral collocation method for solving initial value problems of first order ordinary differential equations. Zbl 1205.65225
Guo, Ben-Yu; Wang, Zhong-Qing
2010
Spherical harmonic-generalized Laguerre pseudospectral method for three-dimensional exterior problems. Zbl 1197.65190
Wang, Zhong-Qing; Zhang, Rong; Guo, Ben-Yu
2010
Generalized Jacobi polynomials/functions and their applications. Zbl 1171.33006
Guo, Ben-Yu; Shen, Jie; Wang, Li-Lian
2009
Legendre-Gauss collocation methods for ordinary differential equations. Zbl 1162.65375
Guo, Ben-yu; Wang, Zhong-qing
2009
Legendre-Gauss collocation method for initial value problems of second order ordinary differential equations. Zbl 1162.65374
Guo, Ben-Yu; Yan, Jian-Ping
2009
Composite generalized Laguerre-Legendre spectral method with domain decomposition and its application to Fokker-Planck equation in an infinite channel. Zbl 1198.65200
Guo, Ben-Yu; Wang, Tian-Jun
2009
Pseudospectral method using generalized Laguerre functions for singular problems on unbounded domains. Zbl 1169.65113
Wang, Zhong-Qing; Guo, Ben-Yu; Wu, Yan-Na
2009
Composite Laguerre-Legendre pseudospectral method for exterior problems. Zbl 1364.65266
Wang, Tian-Jun; Guo, Ben-Yu
2009
A spectral method for three-dimensional nonlinear Klein-Gordon equation by using generalized Laguerre and spherical harmonic functions. Zbl 1199.65354
Zhang, Xiaoyong; Guo, Benyu; Jiao, Yujian
2009
Interpolation approximations based on Gauss-Lobatto-Legendre-Birkhoff quadrature. Zbl 1179.47014
Wang, Li-Lian; Guo, Ben-Yu
2009
Mixed generalized Laguerre-Fourier spectral method for exterior problem of Navier-Stokes equations. Zbl 1161.76044
Guo, Benyu; Jiao, Yujian
2009
Mixed spectral method for exterior problems for Navier-Stokes equations by using generalized Laguerre functions. Zbl 1167.76030
Jiao, Yujian; Guo, Benyu
2009
Integration processes of ordinary differential equations based on Laguerre-Radau interpolations. Zbl 1127.65047
Guo, Ben-Yu; Wang, Zhong-Qing; Tian, Hong-Jiong; Wang, Li-Lian
2008
Composite generalized Laguerre-Legendre pseudospectral method for Fokker-Planck equation in an infinite channel. Zbl 1151.65077
Wang, Tian-Jun; Guo, Ben-Yu
2008
Jacobi rational approximation and spectral method for differential equations of degenerate type. Zbl 1132.41315
Wang, Zhong-Qing; Guo, Ben-Yu
2008
On non-isotropic Jacobi pseudospectral method. Zbl 1174.65052
Guo, Benyu; Zhang, Keji
2008
A monotone compact implicit scheme for nonlinear reaction-diffusion equations. Zbl 1174.65030
Wang, Yuanming; Guo, Benyu
2008
Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems. Zbl 1154.65079
Wang, Yuan-Ming; Guo, Ben-Yu
2008
Irrational approximations and their applications to partial differential equations in exterior domains. Zbl 1140.65087
Guo, Ben-yu; Shen, Jie
2008
Mixed spectral method for three-dimensional exterior problems using spherical harmonic and generalized Laguerre functions. Zbl 1144.65077
Wang, Zhong-Qing; Guo, Ben-Yu; Zhang, Wei
2008
Navier-Stokes equations with slip boundary conditions. Zbl 1133.35420
Guo, Ben-Yu
2008
Modified Laguerre spectral and pseudospectral methods for nonlinear partial differential equations in multiple dimensions. Zbl 1231.41008
Xu, Cheng-Long; Guo, Ben-Yu
2008
Mixed Fourier-Laguerre spectral and pseudospectral methods for exterior problems using generalized Laguerre functions. Zbl 1203.65271
Zhang, Rong; Wang, Zhong-Qing; Guo, Ben-Yu
2008
Fully discrete Jacobi-spherical harmonic spectral method for Navier-Stokes equations. Zbl 1231.76071
Huang, Wei; Guo, Ben-Yu
2008
Spectral method for differential equations of degenerate type on unbounded domains by using generalized Laguerre functions. Zbl 1119.65097
Guo, Ben-Yu; Zhang, Xiao-Yong
2007
Numerical integration based on Laguerre-Gauss interpolation. Zbl 1173.65312
Guo, Benyu; Wang, Zhongqing
2007
Error analysis of spectral method on a triangle. Zbl 1116.65122
Guo, Ben-yu; Wang, Li-Lian
2007
Mixed Jacobi-spherical harmonic spectral method for Navier-Stokes equations. Zbl 1123.76046
Guo, Benyu; Huang, Wei
2007
Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047
Guo, Benyu; Shen, Jie; Wang, Li-Lian
2006
Generalized Laguerre interpolation and pseudospectral method for unbounded domains. Zbl 1116.41002
Guo, Ben-Yu; Wang, Li-Lian; Wang, Zhong-Qing
2006
Spherical harmonic-generalized Laguerre spectral method for exterior problems. Zbl 1099.76048
Zhang, Xiaoyong; Guo, Benyu
2006
Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation. Zbl 1087.65079
Guo, Ben-Yu; Wang, Li-Lian
2006
Mixed Legendre-Hermite spectral method for heat transfer in an infinite plate. Zbl 1132.80325
Guo, Ben-Yu; Wang, Tian-Jun
2006
Stair Laguerre pseudospectral method for differential equations on the half line. Zbl 1098.65084
Wang, Li-lian; Guo, Ben-yu
2006
Jacobi pseudospectral method for fourth order problems. Zbl 1103.65089
Wan, Zhengsu; Guo, Benyu; Wang, Zhongqing
2006
Mixed Fourier-Jacobi spectral method. Zbl 1104.65100
Wang, Li-Lian; Guo, Ben-Yu
2006
Legendre rational spectral method for nonlinear Klein-Gordon equation. Zbl 1105.65104
Wang, Zhongqing; Guo, Benyu
2006
A new generalized Laguerre spectral approximation and its applications. Zbl 1072.65155
Guo, Benyu; Zhang, Xiaoyong
2005
Generalized Laguerre approximation and its applications to exterior problems. Zbl 1073.65130
Guo, Benyu; Shen, Jie; Xu, Chenglong
2005
Second order Jacobi approximation with applications to fourth-order differential equations. Zbl 1081.65080
Guo, Ben-yu; Wang, Zhong-qing; Wan, Zheng-su; Chu, Delin
2005
Mixed Legendre-Hermite pseudospectral method for heat transfer in an infinite plate. Zbl 1086.65099
Wang, Tian-jun; Guo, Ben-yu
2005
A new generalized Laguerre spectral approximation and its applications. Zbl 1080.65097
Guo, Benyu; Zhang, Xiao-yong
2005
A mixed spectral method for incompressible viscous fluid flow in an infinite strip. Zbl 1213.65135
Wang, Zhong-Qing; Guo, Ben-Yu
2005
Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces. Zbl 1057.41003
Guo, Ben-yu; Wang, Li-lian
2004
Mixed Laguerre-Legendre pseudospectral method for incompressible fluid flow in an infinite strip. Zbl 1093.76047
Guo, Benyu; Xu, Chenglong
2004
Modified Legendre rational spectral method for the whole line. Zbl 1071.65158
Wang, Zhongqing; Guo, Benyu
2004
Legendre rational approximation on the whole line. Zbl 1084.41006
Guo, Benyu; Wang, Zhongqing
2004
Non-isotropic Jacobi spectral methods for unbounded domains. Zbl 1077.65126
Wang, Lilian; Guo, Benyu
2004
Spectral and pseudospectral approximations using Hermite functions: Application to the Dirac equation. Zbl 1032.33004
Guo, Ben-yu; Shen, Jie; Xu, Cheng-long
2003
Modified Chebyshev rational spectral method for the whole line. Zbl 1060.65112
Guo, Ben-Yu; Wang, Zhongqing
2003
Fourier spectral projection method and nonlinear convergence analysis for Navier–Stokes equations. Zbl 1040.35061
Guo, Ben Yu; Zou, Jun
2003
Non-isotropic Jacobi spectral method. Zbl 1040.65097
Guo, Benyu; Wang, Lilian
2003
Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions. Zbl 1213.65125
Xu, Cheng-Long; Guo, Ben-Yu
2003
Jacobi spectral method for differential equations with rough asymptotic behaviors at infinity. Zbl 1055.65096
Guo, Ben-Yu
2003
Jacobi spectral methods for multiple-dimensional singular differential equations. Zbl 1044.65086
Wang, Lilian; Guo, Benyu
2003
Chebyshev rational spectral and pseudospectral methods on a semi-infinite interval. Zbl 1001.65129
Guo, Benyu; Shen, Jie; Wang, Zhongqing
2002
Combined Hermite spectral-finite difference method for the Fokker-Planck equation. Zbl 1007.65068
Fok, Johnson C. M.; Guo, Benyu; Tang, Tao
2002
Laguerre pseudospectral method for nonlinear partial differential equations. Zbl 1005.65115
Xu, Chenglong; Guo, Benyu
2002
A rational approximation and its applications to nonlinear partial differential equations on the whole line. Zbl 1121.41303
Wang, Zhong-Qing; Guo, Ben-Yu
2002
Mixed Laguerre-Legendre spectral method for incompressible flow in an infinite strip. Zbl 0992.76071
Xu, Chenglong; Guo, Benyu
2002
Some developments in spectral methods for nonlinear partial differential equations in unbounded domains. Zbl 1019.65080
Guo, Benyu
2002
Monotone finite difference schemes for nonlinear system with mixed quasi-montonicity. Zbl 0997.65098
Wang, Yuan-ming; Guo, Ben-yu
2002
A generalized Gauss-type quadrature formula and its applications to pseudospectral method. Zbl 1030.65121
Wang, Lilian; Guo, Benyu; Wang, Zhongqing
2002
Jacobi interpolation approximations and their applications to singular differential equations. Zbl 0984.41004
Guo, Benyu; Wang, Lilian
2001
Spectral vanishing viscosity method for nonlinear conservation laws. Zbl 1020.65071
Guo, Ben-yu; Ma, He-ping; Tadmor, Eitan
2001
On spectral approximations using modified Legendre rational functions: Application to the Korteweg-de Vries equation on the half line. Zbl 0992.65111
Guo, Ben-Yu; Shen, Jie
2001
Composite Legendre-Laguerre approximation in unbounded domains. Zbl 0980.65135
Guo, Benyu; Ma, Heping
2001
Fourier spectral approximation to a dissipative system modeling the flow of liquid crystals. Zbl 1007.76057
Du, Qiang; Guo, Benyu; Shen, Jie
2001
...and 110 more Documents
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#### Cited by 1,116 Authors

 104 Guo, Ben-Yu 36 Bhrawy, Ali Hassan 33 Dehghan Takht Fooladi, Mehdi 32 Doha, Eid H. 32 Wang, Lilian 32 Wang, Zhongqing 29 Shen, Jie 23 Wang, Yuanming 22 Ma, Heping 20 Li, Huiyuan 18 Wang, Tianjun 17 Parand, Kourosh 16 Macías-Díaz, Jorge Eduardo 14 Nelakanti, Gnaneshwar 14 Yi, Lijun 13 Chen, Yanping 13 Zhang, Zhimin 12 Abd-Elhameed, Waleed Mohamed 10 Băleanu, Dumitru I. 10 Hafez, Ramy Mahmoud 10 Liu, Wen-Jie 10 Zhang, Chao 10 Zhang, Xiaoyong 9 Jiao, Yujian 9 Zhang, Zhongqiang 9 Zhao, Jingjun 8 Bao, Weizhu 8 Das, Payel 8 Maleki, Mohammad Reza 8 Yu, Xuhong 8 Zhang, Luming 7 Abbasbandy, Saeid 7 Huang, Yunqing 7 Lu, Shujuan 7 Omrani, Khaled 7 Rogers, Colin 6 Alghamdi, Mohammed Ali 6 Cao, Weiming 6 Carillo, Sandra 6 Ervin, Vincent J. 6 Guo, Benqi 6 Huang, Can 6 Tang, Tao 6 Wang, Tingchun 6 Wang, Yushun 6 Wu, Boying 6 Xu, Yang 5 Bratsos, Athanassios G. 5 Dong, Xuanchun 5 Fakhar-Izadi, Farhad 5 Ibragimov, Ranis N. 5 Jia, Hongli 5 Li, Jian 5 Mirzaei, Davoud 5 Sheng, Changtao 5 Sun, Tao 5 Wang, Hong 5 Wu, Xinyuan 5 Wu, Yujiang 5 Xu, Chuanju 5 Yang, Yin 5 Zheng, Xiangcheng 4 Abdelkawy, Mohamed A. 4 Agarwal, Ravi P. 4 Ahmed, Hany M. 4 Assas, Laila M. B. 4 Bradshaw-Hajek, Bronwyn H. 4 Broadbridge, Philip 4 Dağ, İdris 4 Deng, Weihua 4 Eslahchi, Mohammad Reza 4 Hashim, Ishak 4 Hauck, Cory D. 4 He, Liping 4 Karakoç, Seydi Battal Gazi 4 Liu, Changying 4 Liu, Chun 4 Rashidinia, Jalil 4 Rezaei, Ahmad Reza 4 Shokri, Ali 4 Wang, Cheng 4 Wang, Lina 4 Wang, Yingwei 4 Xu, Chenglong 4 Yi, Nianyu 4 Zhang, Jing 4 Zhang, YanMing 3 Achouri, Talha 3 Amin, Ahmed Z. M. 3 An, Jing 3 Cai, Haotao 3 Cai, Jiaxiang 3 Chen, Hu 3 Chen, Wenping 3 Cheng, Kelong 3 Dehbozorgi, Raziyeh 3 Delkhosh, Mehdi 3 Ebadian, Ali 3 El-Soubhy, S. I. 3 Feng, Zhaosheng ...and 1,016 more Authors
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#### Cited in 163 Serials

 75 Journal of Computational and Applied Mathematics 72 Applied Mathematics and Computation 67 Applied Numerical Mathematics 67 Journal of Scientific Computing 48 Journal of Computational Physics 30 Mathematics of Computation 29 Computers & Mathematics with Applications 23 Numerical Methods for Partial Differential Equations 21 Numerical Algorithms 20 International Journal of Computer Mathematics 19 Mathematical Methods in the Applied Sciences 16 Mathematical Problems in Engineering 16 Communications in Nonlinear Science and Numerical Simulation 15 Advances in Computational Mathematics 15 Abstract and Applied Analysis 14 Journal of Mathematical Analysis and Applications 13 SIAM Journal on Numerical Analysis 13 Applied Mathematics and Mechanics. (English Edition) 13 Advances in Difference Equations 12 Acta Mathematicae Applicatae Sinica. English Series 12 Applied Mathematical Modelling 10 Computer Physics Communications 10 Numerische Mathematik 9 SIAM Journal on Scientific Computing 9 Computational and Applied Mathematics 7 Mathematics and Computers in Simulation 7 Communications on Applied Mathematics and Computation 6 Computer Methods in Applied Mechanics and Engineering 6 Calcolo 6 Mathematical and Computer Modelling 5 Journal of Mathematical Physics 5 Journal of Applied Mathematics 5 Journal of Applied Mathematics and Computing 4 Journal of Approximation Theory 4 Physica D 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Applied Mathematics. Series B (English Edition) 4 Engineering Analysis with Boundary Elements 4 Boundary Value Problems 4 Symmetry 4 S$$\vec{\text{e}}$$MA Journal 4 East Asian Journal on Applied Mathematics 4 Journal of Function Spaces 4 International Journal of Applied and Computational Mathematics 3 Applicable Analysis 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Chaos, Solitons and Fractals 3 Automatica 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 Discrete Dynamics in Nature and Society 3 The ANZIAM Journal 3 Nonlinear Analysis. Modelling and Control 3 Discrete and Continuous Dynamical Systems. Series B 3 International Journal of Computational Methods 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Frontiers of Mathematics in China 3 Science China. Mathematics 3 Mathematical Sciences 2 International Journal for Numerical Methods in Fluids 2 Wave Motion 2 International Journal for Numerical Methods in Engineering 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Studies in Applied Mathematics 2 Bulletin of the Iranian Mathematical Society 2 Constructive Approximation 2 Science in China. Series A 2 Japan Journal of Industrial and Applied Mathematics 2 Acta Mathematica Sinica. New Series 2 Communications in Numerical Methods in Engineering 2 Physics of Fluids 2 Applied and Computational Harmonic Analysis 2 Integral Transforms and Special Functions 2 The Journal of Fourier Analysis and Applications 2 Journal of Mathematical Chemistry 2 Vietnam Journal of Mathematics 2 Journal of Shanghai University 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Inverse Problems in Science and Engineering 2 Discrete and Continuous Dynamical Systems. Series S 2 Tbilisi Mathematical Journal 2 International Journal of Differential Equations 2 International Journal for Numerical Methods in Biomedical Engineering 2 Analysis and Mathematical Physics 1 Acta Mechanica 1 International Journal of Control 1 International Journal of Heat and Mass Transfer 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Statistical Physics 1 Lithuanian Mathematical Journal 1 Mathematical Biosciences 1 Nonlinearity 1 Physica A 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Bulletin of Mathematical Biology 1 BIT 1 Collectanea Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Applied Probability ...and 63 more Serials
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#### Cited in 39 Fields

 759 Numerical analysis (65-XX) 476 Partial differential equations (35-XX) 128 Fluid mechanics (76-XX) 108 Ordinary differential equations (34-XX) 79 Integral equations (45-XX) 76 Approximations and expansions (41-XX) 59 Special functions (33-XX) 31 Real functions (26-XX) 29 Dynamical systems and ergodic theory (37-XX) 24 Quantum theory (81-XX) 24 Statistical mechanics, structure of matter (82-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 18 Biology and other natural sciences (92-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 14 Optics, electromagnetic theory (78-XX) 11 Probability theory and stochastic processes (60-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Operator theory (47-XX) 9 Mechanics of deformable solids (74-XX) 8 Functional analysis (46-XX) 8 Systems theory; control (93-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Difference and functional equations (39-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of particles and systems (70-XX) 4 Astronomy and astrophysics (85-XX) 4 Geophysics (86-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Relativity and gravitational theory (83-XX) 2 General and overarching topics; collections (00-XX) 2 Potential theory (31-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX)