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Guo, Ben-Yu

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Author ID: guo.ben-yu Recent zbMATH articles by "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 · Wikidata · dblp · GND
Documents Indexed: 292 Publications since 1974, including 4 Books
Biographic References: 2 Publications
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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

Publications by Year

Citations contained in zbMATH

209 Publications have been cited 2,148 times in 868 Documents Cited by Year
Spectral methods and their applications. Zbl 0906.65110
Guo, Ben-Yu
134
1998
Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces. Zbl 1057.41003
Guo, Ben-yu; Wang, Li-lian
96
2004
Numerical solution of the sine-Gordon equation. Zbl 0622.65131
Guo, Benyu; Pascual, Pedro J.; Rodriguez, María J.; Vázquez, Luis
73
1986
Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047
Guo, Benyu; Shen, Jie; Wang, Li-Lian
72
2006
Jacobi approximations in certain Hilbert spaces and their applications to singular differential equations. Zbl 0951.41006
Guo, Benyu
70
2000
Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval. Zbl 0969.65094
Guo, Ben-Yu; Shen, Jie
66
2000
Error estimation of Hermite spectral method for nonlinear partial differential equations. Zbl 0918.65069
Guo, Ben-yu
64
1999
A rational approximation and its applications to differential equations on the half line. Zbl 0984.65104
Guo, Benyu; Shen, Jie; Wang, Zhongqing
49
2000
Jacobi interpolation approximations and their applications to singular differential equations. Zbl 0984.41004
Guo, Benyu; Wang, Lilian
46
2001
Generalized Jacobi polynomials/functions and their applications. Zbl 1171.33006
Guo, Ben-Yu; Shen, Jie; Wang, Li-Lian
39
2009
Generalized Laguerre interpolation and pseudospectral method for unbounded domains. Zbl 1116.41002
Guo, Ben-Yu; Wang, Li-Lian; Wang, Zhong-Qing
38
2006
Spectral and pseudospectral approximations using Hermite functions: Application to the Dirac equation. Zbl 1032.33004
Guo, Ben-yu; Shen, Jie; Xu, Cheng-long
35
2003
Chebyshev rational spectral and pseudospectral methods on a semi-infinite interval. Zbl 1001.65129
Guo, Benyu; Shen, Jie; Wang, Zhongqing
35
2002
Jacobi spectral approximations to differential equations on the half line. Zbl 0948.65071
Guo, Benyu
34
2000
A new generalized Laguerre spectral approximation and its applications. Zbl 1072.65155
Guo, Benyu; Zhang, Xiaoyong
33
2005
Combined Hermite spectral-finite difference method for the Fokker-Planck equation. Zbl 1007.65068
Fok, Johnson C. M.; Guo, Benyu; Tang, Tao
30
2002
Gegenbauer approximation and its applications to differential equations on the whole line. Zbl 0913.41020
Guo, Ben-yu
30
1998
Laguerre pseudospectral method for nonlinear partial differential equations. Zbl 1005.65115
Xu, Chenglong; Guo, Benyu
27
2002
Legendre-Gauss collocation methods for ordinary differential equations. Zbl 1162.65375
Guo, Ben-yu; Wang, Zhong-qing
26
2009
Hermite pseudospectral method for nonlinear partial differential equations. Zbl 0966.65072
Guo, Benyu; Xu, Chenglong
25
2000
The Fourier pseudospectral method with a restrain operator for the RLW equation. Zbl 0684.65097
Guo, Benyu; Cao, Weiming
25
1988
A Legendre spectral method for solving the nonlinear Klein-Gordon equation. Zbl 0856.65117
Guo, Ben-Yu; Li, Xun; Vázquez, Luis
24
1996
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
22
2007
Legendre-Gauss collocation method for initial value problems of second order ordinary differential equations. Zbl 1162.65374
Guo, Ben-Yu; Yan, Jian-Ping
21
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
20
2009
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
20
2001
Gegenbauer approximation in certain Hilbert spaces and its applications to singular differential equations. Zbl 0947.65112
Guo, Ben-Yu
20
2000
A multistep Legendre-Gauss spectral collocation method for nonlinear Volterra integral equations. Zbl 1305.65246
Sheng, Chang-Tao; Wang, Zhong-Qing; Guo, Ben-Yu
19
2014
Generalized Laguerre approximation and its applications to exterior problems. Zbl 1073.65130
Guo, Benyu; Shen, Jie; Xu, Chenglong
19
2005
Spectral vanishing viscosity method for nonlinear conservation laws. Zbl 1020.65071
Guo, Ben-yu; Ma, He-ping; Tadmor, Eitan
19
2001
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
17
2012
Generalized Jacobi rational spectral method and its applications. Zbl 1203.33013
Guo, Ben-Yu; Yi, Yong-Gang
17
2010
Composite Laguerre-Legendre spectral method for exterior problems. Zbl 1189.65238
Guo, Ben-yu; Wang, Tian-jun
17
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
17
2008
A spectral method for the vorticity equation on the surface. Zbl 0827.76056
Guo, Benyu
16
1995
Jacobi and Laguerre quasi-orthogonal approximations and related interpolations. Zbl 1264.41008
Guo, Ben-Yu; Sunl, Tao; Zhang, Chao
15
2013
Spectral method on quadrilaterals. Zbl 1207.65141
Guo, Ben-Yu; Jia, Hong-Li
15
2010
Mixed Laguerre-Legendre pseudospectral method for incompressible fluid flow in an infinite strip. Zbl 1093.76047
Guo, Benyu; Xu, Chenglong
15
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
15
2002
Composite Legendre-Laguerre approximation in unbounded domains. Zbl 0980.65135
Guo, Benyu; Ma, Heping
15
2001
Analytic solutions of the Nagumo equation. Zbl 0774.35085
Chen, Zhixiong; Guo, Benyu
15
1992
A Legendre pseudospectral method for solving nonlinear Klein-Gordon equation. Zbl 0876.65073
Li, Xun; Guo, B. Y.
14
1997
Composite generalized Laguerre-Legendre pseudospectral method for Fokker-Planck equation in an infinite channel. Zbl 1151.65077
Wang, Tian-Jun; Guo, Ben-Yu
13
2008
Numerical integration based on Laguerre-Gauss interpolation. Zbl 1173.65312
Guo, Benyu; Wang, Zhongqing
13
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
13
2005
A spectral-difference method for solving two-dimensional vorticity equations. Zbl 0668.76022
Guo, Benyu
13
1988
Generalized Jacobi rational spectral method on the half line. Zbl 1259.65156
Yi, Yong-gang; Guo, Ben-yu
12
2012
Spectral method for solving Navier-Stokes equation. Zbl 0626.76034
Guo, Benyu
12
1985
Error analysis of spectral method on a triangle. Zbl 1116.65122
Guo, Ben-yu; Wang, Li-Lian
11
2007
Modified Legendre rational spectral method for the whole line. Zbl 1071.65158
Wang, Zhongqing; Guo, Benyu
11
2004
Modified Chebyshev rational spectral method for the whole line. Zbl 1060.65112
Guo, Ben-Yu; Wang, Zhongqing
11
2003
Fourier spectral approximation to a dissipative system modeling the flow of liquid crystals. Zbl 1007.76057
Du, Qiang; Guo, Benyu; Shen, Jie
11
2001
Fourier collocation method for solving nonlinear Klein-Gordon equation. Zbl 0791.65095
Cao, Weiming; Guo, Benyu
11
1993
The Fourier-Chebyshev spectral method for solving two-dimensional unsteady vorticity equations. Zbl 0757.76047
Guo, Benyu; Ma, Heping; Cao, Weiming; Huang, Hui
11
1992
The Chebyshev spectral method for Burgers-like equations. Zbl 0641.65084
Ma, Heping; Guo, Benyu
11
1988
Spectral element method for mixed inhomogeneous boundary value problems of fourth order. Zbl 1305.65236
Yu, Xu-Hong; Guo, Ben-Yu
10
2014
Generalized Hermite spectral method matching asymptotic behaviors. Zbl 1291.65251
Zhang, Chao; Guo, Ben-yu
10
2014
Composite Laguerre-Legendre spectral method for fourth-order exterior problems. Zbl 1203.65265
Guo, Ben-Yu; Wang, Tian-Jun
10
2010
Pseudospectral method using generalized Laguerre functions for singular problems on unbounded domains. Zbl 1169.65113
Wang, Zhong-Qing; Guo, Ben-Yu; Wu, Yan-Na
10
2009
The convergence of a numerical method for the nonlinear Schrödinger equation. Zbl 0598.65092
Guo, Benyu
10
1986
The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation. Zbl 0589.65077
Ma, Heping; Guo, Benyu
10
1986
Petrov-Galerkin spectral element method for mixed inhomogeneous boundary value problems on polygons. Zbl 1218.65136
Jia, Hongli; Guo, Benyu
9
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
9
2010
Jacobi rational approximation and spectral method for differential equations of degenerate type. Zbl 1132.41315
Wang, Zhong-Qing; Guo, Ben-Yu
9
2008
Fourier spectral projection method and nonlinear convergence analysis for Navier–Stokes equations. Zbl 1040.35061
Guo, Ben Yu; Zou, Jun
9
2003
On Numerov scheme for nonlinear two-points boundary value problem. Zbl 0921.65058
Wang, Yuanming; Guo, Benyu
9
1998
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
9
1998
Combined finite element and pseudospectral method for the two-dimensional evolutionary Navier–Stokes equations. Zbl 0778.76051
Guo, Benyu; Ma, Heping
9
1993
The convergence of the spectral scheme for solving two-dimensional vorticity equations. Zbl 0599.76030
Guo, Benyu
9
1983
Some progress in spectral methods. Zbl 1304.65227
Guo, Benyu
8
2013
Non-isotropic Jacobi spectral method. Zbl 1040.65097
Guo, Benyu; Wang, Lilian
8
2003
Mixed Laguerre-Legendre spectral method for incompressible flow in an infinite strip. Zbl 0992.76071
Xu, Chenglong; Guo, Benyu
8
2002
An augmented Lagrangian method for parameter identifications in parabolic systems. Zbl 0995.35080
Guo, Ben-yu; Zou, Jun
8
2001
Composite Legendre-Laguerre pseudospectral approximation in unbounded domains. Zbl 0993.65106
Ma, Heping; Guo, Benyu
8
2001
The Fourier pseudo-spectral method for the SRLW equation. Zbl 0729.65074
Zheng, Jiadong; Zhang, Rufen; Guo, Benyu
8
1989
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
7
2016
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
7
2012
On non-isotropic Jacobi pseudospectral method. Zbl 1174.65052
Guo, Benyu; Zhang, Keji
7
2008
A monotone compact implicit scheme for nonlinear reaction-diffusion equations. Zbl 1174.65030
Wang, Yuanming; Guo, Benyu
7
2008
Spherical harmonic-generalized Laguerre spectral method for exterior problems. Zbl 1099.76048
Zhang, Xiaoyong; Guo, Benyu
7
2006
Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation. Zbl 1087.65079
Guo, Ben-Yu; Wang, Li-Lian
7
2006
Legendre rational approximation on the whole line. Zbl 1084.41006
Guo, Benyu; Wang, Zhongqing
7
2004
Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions. Zbl 1213.65125
Xu, Cheng-Long; Guo, Ben-Yu
7
2003
Generalized stability of discretization and its applications to numerical solutions of nonlinear differential equations. Zbl 0811.65071
Guo, Benyu
7
1994
A spectral-difference method for two-dimensional viscous flow. Zbl 0679.76036
Guo, Benyu; Xiong, Yeushan
7
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
7
1988
The Fourier pseudospectral method for two-dimensional vorticity equations. Zbl 0607.76019
Ma, Heping; Guo, Benyu
7
1987
A collocation method for initial value problems of second-order ODEs by using Laguerre functions. Zbl 1249.65153
Yan, Jianping; Guo, Benyu
6
2011
Composite Laguerre-Legendre pseudospectral method for exterior problems. Zbl 1364.65266
Wang, Tian-Jun; Guo, Ben-Yu
6
2009
Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems. Zbl 1154.65079
Wang, Yuan-Ming; Guo, Ben-Yu
6
2008
Mixed Jacobi-spherical harmonic spectral method for Navier-Stokes equations. Zbl 1123.76046
Guo, Benyu; Huang, Wei
6
2007
An almost monotone approximation for a nonlinear two-point boundary value problem. Zbl 0892.65054
Guo, Benyu; Wang, Yuanming
6
1998
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.
6
1992
A combined spectral-finite element method for solving two-dimensional unsteady Navier-Stokes equations. Zbl 0758.76032
Guo, Benyu; Cao, Weiming
6
1992
On Harry-Dym equation and its solution. Zbl 0686.35098
Guo, Benyu; Rogers, C.
6
1989
Bifurcation studies in reaction-diffusion. Zbl 0555.65073
Manoranjan, V. S.; Mitchell, A. R.; Sleeman, B. D.; Kuo, Penyu
6
1984
A collocation method for generalized nonlinear Klein-Gordon equation. Zbl 1300.65072
Guo, Ben-Yu; Wang, Zhong-Qing
5
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
5
2009
Interpolation approximations based on Gauss-Lobatto-Legendre-Birkhoff quadrature. Zbl 1179.47014
Wang, Li-Lian; Guo, Ben-Yu
5
2009
Irrational approximations and their applications to partial differential equations in exterior domains. Zbl 1140.65087
Guo, Ben-yu; Shen, Jie
5
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
7
2016
Spectral method for fourth-order problems on quadrilaterals. Zbl 1338.65258
Yu, Xu-hong; Guo, Ben-yu
4
2016
Spectral method for Navier-Stokes equations with non-slip boundary conditions by using divergence-free base functions. Zbl 06760784
Guo, Ben-yu; Jiao, Yu-jian
1
2016
Generalized Hermite spectral method matching different algebraic decay at infinities. Zbl 1329.41024
Guo, Ben-yu; Zhang, Chao
3
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
19
2014
Spectral element method for mixed inhomogeneous boundary value problems of fourth order. Zbl 1305.65236
Yu, Xu-Hong; Guo, Ben-Yu
10
2014
Generalized Hermite spectral method matching asymptotic behaviors. Zbl 1291.65251
Zhang, Chao; Guo, Ben-yu
10
2014
A collocation method for generalized nonlinear Klein-Gordon equation. Zbl 1300.65072
Guo, Ben-Yu; Wang, Zhong-Qing
5
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
4
2014
Spectral method for Navier-Stokes equations with slip boundary conditions. Zbl 1302.76136
Guo, Ben-yu; Jiao, Yu-jian
4
2014
Spectral and spectral element methods for high order problems with mixed boundary conditions. Zbl 1313.65202
Guo, Benyu; Sun, Tao; Zhang, Chao
1
2014
Composite spectral method for exterior problems with polygonal obstacles. Zbl 1304.65255
Guo, Ben-Yu; Yu, Xu-Hong
1
2014
Jacobi and Laguerre quasi-orthogonal approximations and related interpolations. Zbl 1264.41008
Guo, Ben-Yu; Sunl, Tao; Zhang, Chao
15
2013
Some progress in spectral methods. Zbl 1304.65227
Guo, Benyu
8
2013
The spectral method for high order problems with proper simulations of asymptotic behaviors at infinity. Zbl 1255.65150
Guo, Ben-Yu; Zhang, Chao
4
2013
Generalized Jacobi approximation in multiple dimensions and its applications. Zbl 1272.65097
Sun, Tao; Guo, Ben-yu
3
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
17
2012
Generalized Jacobi rational spectral method on the half line. Zbl 1259.65156
Yi, Yong-gang; Guo, Ben-yu
12
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
7
2012
Spectral methods for mixed inhomogeneous boundary value problems in three dimensions. Zbl 1289.65266
Wang, Tianjun; Guo, Benyu; Li, Wei
3
2012
Mixed spectral method for Navier-Stokes equations in an infinite strip by using generalized Laguerre functions. Zbl 1263.76023
Jiao, Yujian; Guo, Benyu
2
2012
Spectral method for vorticity-stream function form of Navier-Stokes equations with slip boundary conditions. Zbl 1384.76041
Jiao, Yujian; Guo, Benyu
2
2012
Some developments in spectral methods. Zbl 1247.65133
Guo, Ben-yu; Zhang, Chao; Sun, Tao
1
2012
A collocation method for initial value problems of second-order ODEs by using Laguerre functions. Zbl 1249.65153
Yan, Jianping; Guo, Benyu
6
2011
Multidomain pseudospectral methods for nonlinear convection-diffusion equations. Zbl 1237.65112
Ji, Yuan-yuan; Wu, Hua; Ma, He-ping; Guo, Ben-yu
3
2011
Laguerre-Gauss collocation method for initial value problems of second order ODEs. Zbl 1238.65084
Yan, Jian-ping; Guo, Ben-yu
1
2011
Pseudospectral method for quadrilaterals. Zbl 1232.65155
Guo, Ben-Yu; Jia, Hong-Li
1
2011
Generalized Jacobi rational spectral method and its applications. Zbl 1203.33013
Guo, Ben-Yu; Yi, Yong-Gang
17
2010
Composite Laguerre-Legendre spectral method for exterior problems. Zbl 1189.65238
Guo, Ben-yu; Wang, Tian-jun
17
2010
Spectral method on quadrilaterals. Zbl 1207.65141
Guo, Ben-Yu; Jia, Hong-Li
15
2010
Composite Laguerre-Legendre spectral method for fourth-order exterior problems. Zbl 1203.65265
Guo, Ben-Yu; Wang, Tian-Jun
10
2010
Petrov-Galerkin spectral element method for mixed inhomogeneous boundary value problems on polygons. Zbl 1218.65136
Jia, Hongli; Guo, Benyu
9
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
9
2010
Spherical harmonic-generalized Laguerre pseudospectral method for three-dimensional exterior problems. Zbl 1197.65190
Wang, Zhong-Qing; Zhang, Rong; Guo, Ben-Yu
1
2010
Generalized Jacobi polynomials/functions and their applications. Zbl 1171.33006
Guo, Ben-Yu; Shen, Jie; Wang, Li-Lian
39
2009
Legendre-Gauss collocation methods for ordinary differential equations. Zbl 1162.65375
Guo, Ben-yu; Wang, Zhong-qing
26
2009
Legendre-Gauss collocation method for initial value problems of second order ordinary differential equations. Zbl 1162.65374
Guo, Ben-Yu; Yan, Jian-Ping
21
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
20
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
10
2009
Composite Laguerre-Legendre pseudospectral method for exterior problems. Zbl 1364.65266
Wang, Tian-Jun; Guo, Ben-Yu
6
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
5
2009
Interpolation approximations based on Gauss-Lobatto-Legendre-Birkhoff quadrature. Zbl 1179.47014
Wang, Li-Lian; Guo, Ben-Yu
5
2009
Mixed generalized Laguerre-Fourier spectral method for exterior problem of Navier-Stokes equations. Zbl 1161.76044
Guo, Benyu; Jiao, Yujian
4
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
17
2008
Composite generalized Laguerre-Legendre pseudospectral method for Fokker-Planck equation in an infinite channel. Zbl 1151.65077
Wang, Tian-Jun; Guo, Ben-Yu
13
2008
Jacobi rational approximation and spectral method for differential equations of degenerate type. Zbl 1132.41315
Wang, Zhong-Qing; Guo, Ben-Yu
9
2008
On non-isotropic Jacobi pseudospectral method. Zbl 1174.65052
Guo, Benyu; Zhang, Keji
7
2008
A monotone compact implicit scheme for nonlinear reaction-diffusion equations. Zbl 1174.65030
Wang, Yuanming; Guo, Benyu
7
2008
Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems. Zbl 1154.65079
Wang, Yuan-Ming; Guo, Ben-Yu
6
2008
Irrational approximations and their applications to partial differential equations in exterior domains. Zbl 1140.65087
Guo, Ben-yu; Shen, Jie
5
2008
Navier-Stokes equations with slip boundary conditions. Zbl 1133.35420
Guo, Ben-Yu
4
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
3
2008
Modified Laguerre spectral and pseudospectral methods for nonlinear partial differential equations in multiple dimensions. Zbl 1231.41008
Xu, Cheng-Long; Guo, Ben-Yu
2
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
1
2008
Fully discrete Jacobi-spherical harmonic spectral method for Navier-Stokes equations. Zbl 1231.76071
Huang, Wei; Guo, Ben-Yu
1
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
22
2007
Numerical integration based on Laguerre-Gauss interpolation. Zbl 1173.65312
Guo, Benyu; Wang, Zhongqing
13
2007
Error analysis of spectral method on a triangle. Zbl 1116.65122
Guo, Ben-yu; Wang, Li-Lian
11
2007
Mixed Jacobi-spherical harmonic spectral method for Navier-Stokes equations. Zbl 1123.76046
Guo, Benyu; Huang, Wei
6
2007
Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047
Guo, Benyu; Shen, Jie; Wang, Li-Lian
72
2006
Generalized Laguerre interpolation and pseudospectral method for unbounded domains. Zbl 1116.41002
Guo, Ben-Yu; Wang, Li-Lian; Wang, Zhong-Qing
38
2006
Spherical harmonic-generalized Laguerre spectral method for exterior problems. Zbl 1099.76048
Zhang, Xiaoyong; Guo, Benyu
7
2006
Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation. Zbl 1087.65079
Guo, Ben-Yu; Wang, Li-Lian
7
2006
Mixed Legendre-Hermite spectral method for heat transfer in an infinite plate. Zbl 1132.80325
Guo, Ben-Yu; Wang, Tian-Jun
5
2006
Stair Laguerre pseudospectral method for differential equations on the half line. Zbl 1098.65084
Wang, Li-lian; Guo, Ben-yu
5
2006
Jacobi pseudospectral method for fourth order problems. Zbl 1103.65089
Wan, Zhengsu; Guo, Benyu; Wang, Zhongqing
4
2006
Mixed Fourier-Jacobi spectral method. Zbl 1104.65100
Wang, Li-Lian; Guo, Ben-Yu
2
2006
Legendre rational spectral method for nonlinear Klein-Gordon equation. Zbl 1105.65104
Wang, Zhongqing; Guo, Benyu
1
2006
A new generalized Laguerre spectral approximation and its applications. Zbl 1072.65155
Guo, Benyu; Zhang, Xiaoyong
33
2005
Generalized Laguerre approximation and its applications to exterior problems. Zbl 1073.65130
Guo, Benyu; Shen, Jie; Xu, Chenglong
19
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
13
2005
Mixed Legendre-Hermite pseudospectral method for heat transfer in an infinite plate. Zbl 1086.65099
Wang, Tian-jun; Guo, Ben-yu
5
2005
A new generalized Laguerre spectral approximation and its applications. Zbl 1080.65097
Guo, Benyu; Zhang, Xiao-yong
3
2005
A mixed spectral method for incompressible viscous fluid flow in an infinite strip. Zbl 1213.65135
Wang, Zhong-Qing; Guo, Ben-Yu
1
2005
Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces. Zbl 1057.41003
Guo, Ben-yu; Wang, Li-lian
96
2004
Mixed Laguerre-Legendre pseudospectral method for incompressible fluid flow in an infinite strip. Zbl 1093.76047
Guo, Benyu; Xu, Chenglong
15
2004
Modified Legendre rational spectral method for the whole line. Zbl 1071.65158
Wang, Zhongqing; Guo, Benyu
11
2004
Legendre rational approximation on the whole line. Zbl 1084.41006
Guo, Benyu; Wang, Zhongqing
7
2004
Non-isotropic Jacobi spectral methods for unbounded domains. Zbl 1077.65126
Wang, Lilian; Guo, Benyu
1
2004
Spectral and pseudospectral approximations using Hermite functions: Application to the Dirac equation. Zbl 1032.33004
Guo, Ben-yu; Shen, Jie; Xu, Cheng-long
35
2003
Modified Chebyshev rational spectral method for the whole line. Zbl 1060.65112
Guo, Ben-Yu; Wang, Zhongqing
11
2003
Fourier spectral projection method and nonlinear convergence analysis for Navier–Stokes equations. Zbl 1040.35061
Guo, Ben Yu; Zou, Jun
9
2003
Non-isotropic Jacobi spectral method. Zbl 1040.65097
Guo, Benyu; Wang, Lilian
8
2003
Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions. Zbl 1213.65125
Xu, Cheng-Long; Guo, Ben-Yu
7
2003
Jacobi spectral method for differential equations with rough asymptotic behaviors at infinity. Zbl 1055.65096
Guo, Ben-Yu
5
2003
Jacobi spectral methods for multiple-dimensional singular differential equations. Zbl 1044.65086
Wang, Lilian; Guo, Benyu
1
2003
Chebyshev rational spectral and pseudospectral methods on a semi-infinite interval. Zbl 1001.65129
Guo, Benyu; Shen, Jie; Wang, Zhongqing
35
2002
Combined Hermite spectral-finite difference method for the Fokker-Planck equation. Zbl 1007.65068
Fok, Johnson C. M.; Guo, Benyu; Tang, Tao
30
2002
Laguerre pseudospectral method for nonlinear partial differential equations. Zbl 1005.65115
Xu, Chenglong; Guo, Benyu
27
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
15
2002
Mixed Laguerre-Legendre spectral method for incompressible flow in an infinite strip. Zbl 0992.76071
Xu, Chenglong; Guo, Benyu
8
2002
Some developments in spectral methods for nonlinear partial differential equations in unbounded domains. Zbl 1019.65080
Guo, Benyu
3
2002
Monotone finite difference schemes for nonlinear system with mixed quasi-montonicity. Zbl 0997.65098
Wang, Yuan-ming; Guo, Ben-yu
3
2002
A generalized Gauss-type quadrature formula and its applications to pseudospectral method. Zbl 1030.65121
Wang, Lilian; Guo, Benyu; Wang, Zhongqing
2
2002
Jacobi interpolation approximations and their applications to singular differential equations. Zbl 0984.41004
Guo, Benyu; Wang, Lilian
46
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
20
2001
Spectral vanishing viscosity method for nonlinear conservation laws. Zbl 1020.65071
Guo, Ben-yu; Ma, He-ping; Tadmor, Eitan
19
2001
Composite Legendre-Laguerre approximation in unbounded domains. Zbl 0980.65135
Guo, Benyu; Ma, Heping
15
2001
Fourier spectral approximation to a dissipative system modeling the flow of liquid crystals. Zbl 1007.76057
Du, Qiang; Guo, Benyu; Shen, Jie
11
2001
An augmented Lagrangian method for parameter identifications in parabolic systems. Zbl 0995.35080
Guo, Ben-yu; Zou, Jun
8
2001
...and 109 more Documents
all top 5

Cited by 1,038 Authors

104 Guo, Ben-Yu
36 Bhrawy, Ali Hassan
33 Dehghan Takht Fooladi, Mehdi
32 Doha, Eid H.
32 Wang, Lilian
32 Wang, Zhongqing
28 Shen, Jie
23 Wang, Yuanming
22 Ma, Heping
19 Li, Huiyuan
18 Wang, Tianjun
17 Parand, Kourosh
14 Nelakanti, Gnaneshwar
13 Chen, Yanping
13 Macías-Díaz, Jorge Eduardo
13 Yi, Lijun
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 Zhao, Jingjun
8 Das, Payel
8 Maleki, Mohammad Reza
8 Yu, Xuhong
8 Zhang, Luming
7 Abbasbandy, Saeid
7 Huang, Yunqing
7 Lu, Shujuan
7 Rogers, Colin
7 Zhang, Zhongqiang
6 Alghamdi, Mohammed Ali
6 Bao, Weizhu
6 Cao, Weiming
6 Carillo, Sandra
6 Guo, Benqi
6 Huang, Can
6 Omrani, Khaled
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 Sun, Tao
5 Wu, Xinyuan
5 Wu, Yujiang
5 Xu, Chuanju
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 Ervin, Vincent J.
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 Sheng, Changtao
4 Shokri, Ali
4 Wang, Cheng
4 Wang, Hong
4 Wang, Yingwei
4 Xu, Chenglong
4 Yang, Yin
4 Yi, Nianyu
4 Youssri, Youssri H.
4 Zhang, Jing
4 Zhang, YanMing
4 Zheng, Xiangcheng
3 Amin, Ahmed Z. M.
3 An, Jing
3 Cai, Haotao
3 Cai, Jiaxiang
3 Chen, Hu
3 Chen, Wenping
3 Cheng, Kelong
3 Delkhosh, Mehdi
3 Ebadian, Ali
3 El-Soubhy, S. I.
3 Eslahchi, Mohammad Reza
3 Feng, Zhaosheng
3 Foroutan, Mohammadreza
3 Gong, Yuezheng
...and 938 more Authors
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Cited in 153 Serials

72 Applied Mathematics and Computation
72 Journal of Computational and Applied Mathematics
62 Journal of Scientific Computing
61 Applied Numerical Mathematics
44 Journal of Computational Physics
30 Mathematics of Computation
27 Computers & Mathematics with Applications
23 Numerical Methods for Partial Differential Equations
20 Numerical Algorithms
20 International Journal of Computer Mathematics
19 Mathematical Methods in the Applied Sciences
16 Mathematical Problems in Engineering
15 Abstract and Applied Analysis
15 Communications in Nonlinear Science and Numerical Simulation
14 Journal of Mathematical Analysis and Applications
14 Advances in Computational Mathematics
13 Applied Mathematics and Mechanics. (English Edition)
13 Advances in Difference Equations
12 Acta Mathematicae Applicatae Sinica. English Series
12 Applied Mathematical Modelling
11 SIAM Journal on Numerical Analysis
10 Computer Physics Communications
10 Numerische Mathematik
8 SIAM Journal on Scientific Computing
8 Computational and Applied Mathematics
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 RAIRO. Modélisation Mathématique et Analyse Numérique
4 Applied Mathematics. Series B (English Edition)
4 Boundary Value Problems
4 Symmetry
4 S\(\vec{\text{e}}\)MA Journal
4 East Asian Journal on Applied Mathematics
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 Mathematics and Computers in Simulation
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 International Journal of Numerical Methods for Heat & Fluid Flow
3 Engineering Analysis with Boundary Elements
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
3 Journal of Function Spaces
2 International Journal for Numerical Methods in Fluids
2 Wave Motion
2 International Journal for Numerical Methods in Engineering
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Studies in Applied Mathematics
2 Bulletin of the Iranian Mathematical Society
2 Physica D
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 Integral Transforms and Special Functions
2 The Journal of Fourier Analysis and Applications
2 Journal of Mathematical Chemistry
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
1 Journal of Optimization Theory and Applications
1 Meccanica
1 Numerical Functional Analysis and Optimization
...and 53 more Serials
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Cited in 37 Fields

717 Numerical analysis (65-XX)
442 Partial differential equations (35-XX)
125 Fluid mechanics (76-XX)
107 Ordinary differential equations (34-XX)
73 Approximations and expansions (41-XX)
73 Integral equations (45-XX)
56 Special functions (33-XX)
29 Real functions (26-XX)
29 Dynamical systems and ergodic theory (37-XX)
23 Statistical mechanics, structure of matter (82-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
19 Quantum theory (81-XX)
18 Biology and other natural sciences (92-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
14 Optics, electromagnetic theory (78-XX)
9 Operator theory (47-XX)
9 Probability theory and stochastic processes (60-XX)
9 Classical thermodynamics, heat transfer (80-XX)
7 Functional analysis (46-XX)
7 Mechanics of deformable solids (74-XX)
7 Systems theory; control (93-XX)
6 Difference and functional equations (39-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Astronomy and astrophysics (85-XX)
4 Geophysics (86-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
2 General and overarching topics; collections (00-XX)
2 Statistics (62-XX)
2 Mechanics of particles and systems (70-XX)
2 Operations research, mathematical programming (90-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 Potential theory (31-XX)
1 Relativity and gravitational theory (83-XX)

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