Edit Profile Guo, Ben-Yu Compute Distance To: Compute 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 · Wikidata · dblp · GND Documents Indexed: 292 Publications since 1974, including 4 Books Biographic References: 2 Publications all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 209 Publications have been cited 2,148 times in 868 Documents Cited by ▼ Year ▼ Spectral methods and their applications. Zbl 0906.65110Guo, Ben-Yu 134 1998 Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces. Zbl 1057.41003Guo, Ben-yu; Wang, Li-lian 96 2004 Numerical solution of the sine-Gordon equation. Zbl 0622.65131Guo, Benyu; Pascual, Pedro J.; Rodriguez, María J.; Vázquez, Luis 73 1986 Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047Guo, Benyu; Shen, Jie; Wang, Li-Lian 72 2006 Jacobi approximations in certain Hilbert spaces and their applications to singular differential equations. Zbl 0951.41006Guo, Benyu 70 2000 Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval. Zbl 0969.65094Guo, Ben-Yu; Shen, Jie 66 2000 Error estimation of Hermite spectral method for nonlinear partial differential equations. Zbl 0918.65069Guo, Ben-yu 64 1999 A rational approximation and its applications to differential equations on the half line. Zbl 0984.65104Guo, Benyu; Shen, Jie; Wang, Zhongqing 49 2000 Jacobi interpolation approximations and their applications to singular differential equations. Zbl 0984.41004Guo, Benyu; Wang, Lilian 46 2001 Generalized Jacobi polynomials/functions and their applications. Zbl 1171.33006Guo, Ben-Yu; Shen, Jie; Wang, Li-Lian 39 2009 Generalized Laguerre interpolation and pseudospectral method for unbounded domains. Zbl 1116.41002Guo, Ben-Yu; Wang, Li-Lian; Wang, Zhong-Qing 38 2006 Spectral and pseudospectral approximations using Hermite functions: Application to the Dirac equation. Zbl 1032.33004Guo, Ben-yu; Shen, Jie; Xu, Cheng-long 35 2003 Chebyshev rational spectral and pseudospectral methods on a semi-infinite interval. Zbl 1001.65129Guo, Benyu; Shen, Jie; Wang, Zhongqing 35 2002 Jacobi spectral approximations to differential equations on the half line. Zbl 0948.65071Guo, Benyu 34 2000 A new generalized Laguerre spectral approximation and its applications. Zbl 1072.65155Guo, Benyu; Zhang, Xiaoyong 33 2005 Combined Hermite spectral-finite difference method for the Fokker-Planck equation. Zbl 1007.65068Fok, Johnson C. M.; Guo, Benyu; Tang, Tao 30 2002 Gegenbauer approximation and its applications to differential equations on the whole line. Zbl 0913.41020Guo, Ben-yu 30 1998 Laguerre pseudospectral method for nonlinear partial differential equations. Zbl 1005.65115Xu, Chenglong; Guo, Benyu 27 2002 Legendre-Gauss collocation methods for ordinary differential equations. Zbl 1162.65375Guo, Ben-yu; Wang, Zhong-qing 26 2009 Hermite pseudospectral method for nonlinear partial differential equations. Zbl 0966.65072Guo, Benyu; Xu, Chenglong 25 2000 The Fourier pseudospectral method with a restrain operator for the RLW equation. Zbl 0684.65097Guo, Benyu; Cao, Weiming 25 1988 A Legendre spectral method for solving the nonlinear Klein-Gordon equation. Zbl 0856.65117Guo, 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 1119.65097Guo, Ben-Yu; Zhang, Xiao-Yong 22 2007 Legendre-Gauss collocation method for initial value problems of second order ordinary differential equations. Zbl 1162.65374Guo, 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 1198.65200Guo, 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 0992.65111Guo, Ben-Yu; Shen, Jie 20 2001 Gegenbauer approximation in certain Hilbert spaces and its applications to singular differential equations. Zbl 0947.65112Guo, Ben-Yu 20 2000 A multistep Legendre-Gauss spectral collocation method for nonlinear Volterra integral equations. Zbl 1305.65246Sheng, Chang-Tao; Wang, Zhong-Qing; Guo, Ben-Yu 19 2014 Generalized Laguerre approximation and its applications to exterior problems. Zbl 1073.65130Guo, Benyu; Shen, Jie; Xu, Chenglong 19 2005 Spectral vanishing viscosity method for nonlinear conservation laws. Zbl 1020.65071Guo, 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 1255.65133Wang, Zhong-qing; Guo, Ben-yu 17 2012 Generalized Jacobi rational spectral method and its applications. Zbl 1203.33013Guo, Ben-Yu; Yi, Yong-Gang 17 2010 Composite Laguerre-Legendre spectral method for exterior problems. Zbl 1189.65238Guo, Ben-yu; Wang, Tian-jun 17 2010 Integration processes of ordinary differential equations based on Laguerre-Radau interpolations. Zbl 1127.65047Guo, Ben-Yu; Wang, Zhong-Qing; Tian, Hong-Jiong; Wang, Li-Lian 17 2008 A spectral method for the vorticity equation on the surface. Zbl 0827.76056Guo, Benyu 16 1995 Jacobi and Laguerre quasi-orthogonal approximations and related interpolations. Zbl 1264.41008Guo, Ben-Yu; Sunl, Tao; Zhang, Chao 15 2013 Spectral method on quadrilaterals. Zbl 1207.65141Guo, Ben-Yu; Jia, Hong-Li 15 2010 Mixed Laguerre-Legendre pseudospectral method for incompressible fluid flow in an infinite strip. Zbl 1093.76047Guo, Benyu; Xu, Chenglong 15 2004 A rational approximation and its applications to nonlinear partial differential equations on the whole line. Zbl 1121.41303Wang, Zhong-Qing; Guo, Ben-Yu 15 2002 Composite Legendre-Laguerre approximation in unbounded domains. Zbl 0980.65135Guo, Benyu; Ma, Heping 15 2001 Analytic solutions of the Nagumo equation. Zbl 0774.35085Chen, Zhixiong; Guo, Benyu 15 1992 A Legendre pseudospectral method for solving nonlinear Klein-Gordon equation. Zbl 0876.65073Li, Xun; Guo, B. Y. 14 1997 Composite generalized Laguerre-Legendre pseudospectral method for Fokker-Planck equation in an infinite channel. Zbl 1151.65077Wang, Tian-Jun; Guo, Ben-Yu 13 2008 Numerical integration based on Laguerre-Gauss interpolation. Zbl 1173.65312Guo, Benyu; Wang, Zhongqing 13 2007 Second order Jacobi approximation with applications to fourth-order differential equations. Zbl 1081.65080Guo, Ben-yu; Wang, Zhong-qing; Wan, Zheng-su; Chu, Delin 13 2005 A spectral-difference method for solving two-dimensional vorticity equations. Zbl 0668.76022Guo, Benyu 13 1988 Generalized Jacobi rational spectral method on the half line. Zbl 1259.65156Yi, Yong-gang; Guo, Ben-yu 12 2012 Spectral method for solving Navier-Stokes equation. Zbl 0626.76034Guo, Benyu 12 1985 Error analysis of spectral method on a triangle. Zbl 1116.65122Guo, Ben-yu; Wang, Li-Lian 11 2007 Modified Legendre rational spectral method for the whole line. Zbl 1071.65158Wang, Zhongqing; Guo, Benyu 11 2004 Modified Chebyshev rational spectral method for the whole line. Zbl 1060.65112Guo, Ben-Yu; Wang, Zhongqing 11 2003 Fourier spectral approximation to a dissipative system modeling the flow of liquid crystals. Zbl 1007.76057Du, Qiang; Guo, Benyu; Shen, Jie 11 2001 Fourier collocation method for solving nonlinear Klein-Gordon equation. Zbl 0791.65095Cao, Weiming; Guo, Benyu 11 1993 The Fourier-Chebyshev spectral method for solving two-dimensional unsteady vorticity equations. Zbl 0757.76047Guo, Benyu; Ma, Heping; Cao, Weiming; Huang, Hui 11 1992 The Chebyshev spectral method for Burgers-like equations. Zbl 0641.65084Ma, Heping; Guo, Benyu 11 1988 Spectral element method for mixed inhomogeneous boundary value problems of fourth order. Zbl 1305.65236Yu, Xu-Hong; Guo, Ben-Yu 10 2014 Generalized Hermite spectral method matching asymptotic behaviors. Zbl 1291.65251Zhang, Chao; Guo, Ben-yu 10 2014 Composite Laguerre-Legendre spectral method for fourth-order exterior problems. Zbl 1203.65265Guo, Ben-Yu; Wang, Tian-Jun 10 2010 Pseudospectral method using generalized Laguerre functions for singular problems on unbounded domains. Zbl 1169.65113Wang, Zhong-Qing; Guo, Ben-Yu; Wu, Yan-Na 10 2009 The convergence of a numerical method for the nonlinear Schrödinger equation. Zbl 0598.65092Guo, Benyu 10 1986 The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation. Zbl 0589.65077Ma, Heping; Guo, Benyu 10 1986 Petrov-Galerkin spectral element method for mixed inhomogeneous boundary value problems on polygons. Zbl 1218.65136Jia, Hongli; Guo, Benyu 9 2010 A spectral collocation method for solving initial value problems of first order ordinary differential equations. Zbl 1205.65225Guo, Ben-Yu; Wang, Zhong-Qing 9 2010 Jacobi rational approximation and spectral method for differential equations of degenerate type. Zbl 1132.41315Wang, Zhong-Qing; Guo, Ben-Yu 9 2008 Fourier spectral projection method and nonlinear convergence analysis for Navier–Stokes equations. Zbl 1040.35061Guo, Ben Yu; Zou, Jun 9 2003 On Numerov scheme for nonlinear two-points boundary value problem. Zbl 0921.65058Wang, Yuanming; Guo, Benyu 9 1998 The fully discrete Legendre spectral approximation of two-dimensional unsteady incompressible fluid flow in stream function form. Zbl 0909.76067Guo, Ben-yu; He, Li-ping 9 1998 Combined finite element and pseudospectral method for the two-dimensional evolutionary Navier–Stokes equations. Zbl 0778.76051Guo, Benyu; Ma, Heping 9 1993 The convergence of the spectral scheme for solving two-dimensional vorticity equations. Zbl 0599.76030Guo, Benyu 9 1983 Some progress in spectral methods. Zbl 1304.65227Guo, Benyu 8 2013 Non-isotropic Jacobi spectral method. Zbl 1040.65097Guo, Benyu; Wang, Lilian 8 2003 Mixed Laguerre-Legendre spectral method for incompressible flow in an infinite strip. Zbl 0992.76071Xu, Chenglong; Guo, Benyu 8 2002 An augmented Lagrangian method for parameter identifications in parabolic systems. Zbl 0995.35080Guo, Ben-yu; Zou, Jun 8 2001 Composite Legendre-Laguerre pseudospectral approximation in unbounded domains. Zbl 0993.65106Ma, Heping; Guo, Benyu 8 2001 The Fourier pseudo-spectral method for the SRLW equation. Zbl 0729.65074Zheng, Jiadong; Zhang, Rufen; Guo, Benyu 8 1989 An \(hp\)-spectral collocation method for nonlinear Volterra functional integro-differential equations with delays. Zbl 1416.65551Sheng, 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 1273.65183Zhang, Chao; Guo, Ben-Yu 7 2012 On non-isotropic Jacobi pseudospectral method. Zbl 1174.65052Guo, Benyu; Zhang, Keji 7 2008 A monotone compact implicit scheme for nonlinear reaction-diffusion equations. Zbl 1174.65030Wang, Yuanming; Guo, Benyu 7 2008 Spherical harmonic-generalized Laguerre spectral method for exterior problems. Zbl 1099.76048Zhang, Xiaoyong; Guo, Benyu 7 2006 Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation. Zbl 1087.65079Guo, Ben-Yu; Wang, Li-Lian 7 2006 Legendre rational approximation on the whole line. Zbl 1084.41006Guo, Benyu; Wang, Zhongqing 7 2004 Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions. Zbl 1213.65125Xu, Cheng-Long; Guo, Ben-Yu 7 2003 Generalized stability of discretization and its applications to numerical solutions of nonlinear differential equations. Zbl 0811.65071Guo, Benyu 7 1994 A spectral-difference method for two-dimensional viscous flow. Zbl 0679.76036Guo, 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 0677.35055Rogers, Colin; Guo, Benyu 7 1988 The Fourier pseudospectral method for two-dimensional vorticity equations. Zbl 0607.76019Ma, Heping; Guo, Benyu 7 1987 A collocation method for initial value problems of second-order ODEs by using Laguerre functions. Zbl 1249.65153Yan, Jianping; Guo, Benyu 6 2011 Composite Laguerre-Legendre pseudospectral method for exterior problems. Zbl 1364.65266Wang, Tian-Jun; Guo, Ben-Yu 6 2009 Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems. Zbl 1154.65079Wang, Yuan-Ming; Guo, Ben-Yu 6 2008 Mixed Jacobi-spherical harmonic spectral method for Navier-Stokes equations. Zbl 1123.76046Guo, Benyu; Huang, Wei 6 2007 An almost monotone approximation for a nonlinear two-point boundary value problem. Zbl 0892.65054Guo, Benyu; Wang, Yuanming 6 1998 Iterative and Petrov-Galerkin methods for solving a system of one- dimensional nonlinear elliptic equations. Zbl 0812.65077Guo, Ben-yu; Miller, J. J. H. 6 1992 A combined spectral-finite element method for solving two-dimensional unsteady Navier-Stokes equations. Zbl 0758.76032Guo, Benyu; Cao, Weiming 6 1992 On Harry-Dym equation and its solution. Zbl 0686.35098Guo, Benyu; Rogers, C. 6 1989 Bifurcation studies in reaction-diffusion. Zbl 0555.65073Manoranjan, V. S.; Mitchell, A. R.; Sleeman, B. D.; Kuo, Penyu 6 1984 A collocation method for generalized nonlinear Klein-Gordon equation. Zbl 1300.65072Guo, 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 1199.65354Zhang, Xiaoyong; Guo, Benyu; Jiao, Yujian 5 2009 Interpolation approximations based on Gauss-Lobatto-Legendre-Birkhoff quadrature. Zbl 1179.47014Wang, Li-Lian; Guo, Ben-Yu 5 2009 Irrational approximations and their applications to partial differential equations in exterior domains. Zbl 1140.65087Guo, Ben-yu; Shen, Jie 5 2008 An \(hp\)-spectral collocation method for nonlinear Volterra functional integro-differential equations with delays. Zbl 1416.65551Sheng, Chang-Tao; Wang, Zhong-Qing; Guo, Ben-Yu 7 2016 Spectral method for fourth-order problems on quadrilaterals. Zbl 1338.65258Yu, 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 06760784Guo, Ben-yu; Jiao, Yu-jian 1 2016 Generalized Hermite spectral method matching different algebraic decay at infinities. Zbl 1329.41024Guo, Ben-yu; Zhang, Chao 3 2015 A multistep Legendre-Gauss spectral collocation method for nonlinear Volterra integral equations. Zbl 1305.65246Sheng, Chang-Tao; Wang, Zhong-Qing; Guo, Ben-Yu 19 2014 Spectral element method for mixed inhomogeneous boundary value problems of fourth order. Zbl 1305.65236Yu, Xu-Hong; Guo, Ben-Yu 10 2014 Generalized Hermite spectral method matching asymptotic behaviors. Zbl 1291.65251Zhang, Chao; Guo, Ben-yu 10 2014 A collocation method for generalized nonlinear Klein-Gordon equation. Zbl 1300.65072Guo, Ben-Yu; Wang, Zhong-Qing 5 2014 Fourth-order compact finite difference methods and monotone iterative algorithms for semilinear elliptic boundary value problems. Zbl 1369.35026Wang, Yuan-Ming; Guo, Ben-Yu; Wu, Wen-Jia 4 2014 Spectral method for Navier-Stokes equations with slip boundary conditions. Zbl 1302.76136Guo, Ben-yu; Jiao, Yu-jian 4 2014 Spectral and spectral element methods for high order problems with mixed boundary conditions. Zbl 1313.65202Guo, Benyu; Sun, Tao; Zhang, Chao 1 2014 Composite spectral method for exterior problems with polygonal obstacles. Zbl 1304.65255Guo, Ben-Yu; Yu, Xu-Hong 1 2014 Jacobi and Laguerre quasi-orthogonal approximations and related interpolations. Zbl 1264.41008Guo, Ben-Yu; Sunl, Tao; Zhang, Chao 15 2013 Some progress in spectral methods. Zbl 1304.65227Guo, Benyu 8 2013 The spectral method for high order problems with proper simulations of asymptotic behaviors at infinity. Zbl 1255.65150Guo, Ben-Yu; Zhang, Chao 4 2013 Generalized Jacobi approximation in multiple dimensions and its applications. Zbl 1272.65097Sun, Tao; Guo, Ben-yu 3 2013 Legendre-Gauss-Radau collocation method for solving initial value problems of first order ordinary differential equations. Zbl 1255.65133Wang, Zhong-qing; Guo, Ben-yu 17 2012 Generalized Jacobi rational spectral method on the half line. Zbl 1259.65156Yi, 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 1273.65183Zhang, Chao; Guo, Ben-Yu 7 2012 Spectral methods for mixed inhomogeneous boundary value problems in three dimensions. Zbl 1289.65266Wang, Tianjun; Guo, Benyu; Li, Wei 3 2012 Mixed spectral method for Navier-Stokes equations in an infinite strip by using generalized Laguerre functions. Zbl 1263.76023Jiao, Yujian; Guo, Benyu 2 2012 Spectral method for vorticity-stream function form of Navier-Stokes equations with slip boundary conditions. Zbl 1384.76041Jiao, Yujian; Guo, Benyu 2 2012 Some developments in spectral methods. Zbl 1247.65133Guo, Ben-yu; Zhang, Chao; Sun, Tao 1 2012 A collocation method for initial value problems of second-order ODEs by using Laguerre functions. Zbl 1249.65153Yan, Jianping; Guo, Benyu 6 2011 Multidomain pseudospectral methods for nonlinear convection-diffusion equations. Zbl 1237.65112Ji, 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 1238.65084Yan, Jian-ping; Guo, Ben-yu 1 2011 Pseudospectral method for quadrilaterals. Zbl 1232.65155Guo, Ben-Yu; Jia, Hong-Li 1 2011 Generalized Jacobi rational spectral method and its applications. Zbl 1203.33013Guo, Ben-Yu; Yi, Yong-Gang 17 2010 Composite Laguerre-Legendre spectral method for exterior problems. Zbl 1189.65238Guo, Ben-yu; Wang, Tian-jun 17 2010 Spectral method on quadrilaterals. Zbl 1207.65141Guo, Ben-Yu; Jia, Hong-Li 15 2010 Composite Laguerre-Legendre spectral method for fourth-order exterior problems. Zbl 1203.65265Guo, Ben-Yu; Wang, Tian-Jun 10 2010 Petrov-Galerkin spectral element method for mixed inhomogeneous boundary value problems on polygons. Zbl 1218.65136Jia, Hongli; Guo, Benyu 9 2010 A spectral collocation method for solving initial value problems of first order ordinary differential equations. Zbl 1205.65225Guo, Ben-Yu; Wang, Zhong-Qing 9 2010 Spherical harmonic-generalized Laguerre pseudospectral method for three-dimensional exterior problems. Zbl 1197.65190Wang, Zhong-Qing; Zhang, Rong; Guo, Ben-Yu 1 2010 Generalized Jacobi polynomials/functions and their applications. Zbl 1171.33006Guo, Ben-Yu; Shen, Jie; Wang, Li-Lian 39 2009 Legendre-Gauss collocation methods for ordinary differential equations. Zbl 1162.65375Guo, Ben-yu; Wang, Zhong-qing 26 2009 Legendre-Gauss collocation method for initial value problems of second order ordinary differential equations. Zbl 1162.65374Guo, 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 1198.65200Guo, Ben-Yu; Wang, Tian-Jun 20 2009 Pseudospectral method using generalized Laguerre functions for singular problems on unbounded domains. Zbl 1169.65113Wang, Zhong-Qing; Guo, Ben-Yu; Wu, Yan-Na 10 2009 Composite Laguerre-Legendre pseudospectral method for exterior problems. Zbl 1364.65266Wang, 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 1199.65354Zhang, Xiaoyong; Guo, Benyu; Jiao, Yujian 5 2009 Interpolation approximations based on Gauss-Lobatto-Legendre-Birkhoff quadrature. Zbl 1179.47014Wang, Li-Lian; Guo, Ben-Yu 5 2009 Mixed generalized Laguerre-Fourier spectral method for exterior problem of Navier-Stokes equations. Zbl 1161.76044Guo, Benyu; Jiao, Yujian 4 2009 Integration processes of ordinary differential equations based on Laguerre-Radau interpolations. Zbl 1127.65047Guo, 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 1151.65077Wang, Tian-Jun; Guo, Ben-Yu 13 2008 Jacobi rational approximation and spectral method for differential equations of degenerate type. Zbl 1132.41315Wang, Zhong-Qing; Guo, Ben-Yu 9 2008 On non-isotropic Jacobi pseudospectral method. Zbl 1174.65052Guo, Benyu; Zhang, Keji 7 2008 A monotone compact implicit scheme for nonlinear reaction-diffusion equations. Zbl 1174.65030Wang, Yuanming; Guo, Benyu 7 2008 Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems. Zbl 1154.65079Wang, Yuan-Ming; Guo, Ben-Yu 6 2008 Irrational approximations and their applications to partial differential equations in exterior domains. Zbl 1140.65087Guo, Ben-yu; Shen, Jie 5 2008 Navier-Stokes equations with slip boundary conditions. Zbl 1133.35420Guo, Ben-Yu 4 2008 Mixed spectral method for three-dimensional exterior problems using spherical harmonic and generalized Laguerre functions. Zbl 1144.65077Wang, Zhong-Qing; Guo, Ben-Yu; Zhang, Wei 3 2008 Modified Laguerre spectral and pseudospectral methods for nonlinear partial differential equations in multiple dimensions. Zbl 1231.41008Xu, Cheng-Long; Guo, Ben-Yu 2 2008 Mixed Fourier-Laguerre spectral and pseudospectral methods for exterior problems using generalized Laguerre functions. Zbl 1203.65271Zhang, Rong; Wang, Zhong-Qing; Guo, Ben-Yu 1 2008 Fully discrete Jacobi-spherical harmonic spectral method for Navier-Stokes equations. Zbl 1231.76071Huang, Wei; Guo, Ben-Yu 1 2008 Spectral method for differential equations of degenerate type on unbounded domains by using generalized Laguerre functions. Zbl 1119.65097Guo, Ben-Yu; Zhang, Xiao-Yong 22 2007 Numerical integration based on Laguerre-Gauss interpolation. Zbl 1173.65312Guo, Benyu; Wang, Zhongqing 13 2007 Error analysis of spectral method on a triangle. Zbl 1116.65122Guo, Ben-yu; Wang, Li-Lian 11 2007 Mixed Jacobi-spherical harmonic spectral method for Navier-Stokes equations. Zbl 1123.76046Guo, Benyu; Huang, Wei 6 2007 Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047Guo, Benyu; Shen, Jie; Wang, Li-Lian 72 2006 Generalized Laguerre interpolation and pseudospectral method for unbounded domains. Zbl 1116.41002Guo, Ben-Yu; Wang, Li-Lian; Wang, Zhong-Qing 38 2006 Spherical harmonic-generalized Laguerre spectral method for exterior problems. Zbl 1099.76048Zhang, Xiaoyong; Guo, Benyu 7 2006 Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation. Zbl 1087.65079Guo, Ben-Yu; Wang, Li-Lian 7 2006 Mixed Legendre-Hermite spectral method for heat transfer in an infinite plate. Zbl 1132.80325Guo, Ben-Yu; Wang, Tian-Jun 5 2006 Stair Laguerre pseudospectral method for differential equations on the half line. Zbl 1098.65084Wang, Li-lian; Guo, Ben-yu 5 2006 Jacobi pseudospectral method for fourth order problems. Zbl 1103.65089Wan, Zhengsu; Guo, Benyu; Wang, Zhongqing 4 2006 Mixed Fourier-Jacobi spectral method. Zbl 1104.65100Wang, Li-Lian; Guo, Ben-Yu 2 2006 Legendre rational spectral method for nonlinear Klein-Gordon equation. Zbl 1105.65104Wang, Zhongqing; Guo, Benyu 1 2006 A new generalized Laguerre spectral approximation and its applications. Zbl 1072.65155Guo, Benyu; Zhang, Xiaoyong 33 2005 Generalized Laguerre approximation and its applications to exterior problems. Zbl 1073.65130Guo, Benyu; Shen, Jie; Xu, Chenglong 19 2005 Second order Jacobi approximation with applications to fourth-order differential equations. Zbl 1081.65080Guo, 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 1086.65099Wang, Tian-jun; Guo, Ben-yu 5 2005 A new generalized Laguerre spectral approximation and its applications. Zbl 1080.65097Guo, Benyu; Zhang, Xiao-yong 3 2005 A mixed spectral method for incompressible viscous fluid flow in an infinite strip. Zbl 1213.65135Wang, Zhong-Qing; Guo, Ben-Yu 1 2005 Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces. Zbl 1057.41003Guo, Ben-yu; Wang, Li-lian 96 2004 Mixed Laguerre-Legendre pseudospectral method for incompressible fluid flow in an infinite strip. Zbl 1093.76047Guo, Benyu; Xu, Chenglong 15 2004 Modified Legendre rational spectral method for the whole line. Zbl 1071.65158Wang, Zhongqing; Guo, Benyu 11 2004 Legendre rational approximation on the whole line. Zbl 1084.41006Guo, Benyu; Wang, Zhongqing 7 2004 Non-isotropic Jacobi spectral methods for unbounded domains. Zbl 1077.65126Wang, Lilian; Guo, Benyu 1 2004 Spectral and pseudospectral approximations using Hermite functions: Application to the Dirac equation. Zbl 1032.33004Guo, Ben-yu; Shen, Jie; Xu, Cheng-long 35 2003 Modified Chebyshev rational spectral method for the whole line. Zbl 1060.65112Guo, Ben-Yu; Wang, Zhongqing 11 2003 Fourier spectral projection method and nonlinear convergence analysis for Navier–Stokes equations. Zbl 1040.35061Guo, Ben Yu; Zou, Jun 9 2003 Non-isotropic Jacobi spectral method. Zbl 1040.65097Guo, Benyu; Wang, Lilian 8 2003 Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions. Zbl 1213.65125Xu, Cheng-Long; Guo, Ben-Yu 7 2003 Jacobi spectral method for differential equations with rough asymptotic behaviors at infinity. Zbl 1055.65096Guo, Ben-Yu 5 2003 Jacobi spectral methods for multiple-dimensional singular differential equations. Zbl 1044.65086Wang, Lilian; Guo, Benyu 1 2003 Chebyshev rational spectral and pseudospectral methods on a semi-infinite interval. Zbl 1001.65129Guo, Benyu; Shen, Jie; Wang, Zhongqing 35 2002 Combined Hermite spectral-finite difference method for the Fokker-Planck equation. Zbl 1007.65068Fok, Johnson C. M.; Guo, Benyu; Tang, Tao 30 2002 Laguerre pseudospectral method for nonlinear partial differential equations. Zbl 1005.65115Xu, Chenglong; Guo, Benyu 27 2002 A rational approximation and its applications to nonlinear partial differential equations on the whole line. Zbl 1121.41303Wang, Zhong-Qing; Guo, Ben-Yu 15 2002 Mixed Laguerre-Legendre spectral method for incompressible flow in an infinite strip. Zbl 0992.76071Xu, Chenglong; Guo, Benyu 8 2002 Some developments in spectral methods for nonlinear partial differential equations in unbounded domains. Zbl 1019.65080Guo, Benyu 3 2002 Monotone finite difference schemes for nonlinear system with mixed quasi-montonicity. Zbl 0997.65098Wang, Yuan-ming; Guo, Ben-yu 3 2002 A generalized Gauss-type quadrature formula and its applications to pseudospectral method. Zbl 1030.65121Wang, Lilian; Guo, Benyu; Wang, Zhongqing 2 2002 Jacobi interpolation approximations and their applications to singular differential equations. Zbl 0984.41004Guo, 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 0992.65111Guo, Ben-Yu; Shen, Jie 20 2001 Spectral vanishing viscosity method for nonlinear conservation laws. Zbl 1020.65071Guo, Ben-yu; Ma, He-ping; Tadmor, Eitan 19 2001 Composite Legendre-Laguerre approximation in unbounded domains. Zbl 0980.65135Guo, Benyu; Ma, Heping 15 2001 Fourier spectral approximation to a dissipative system modeling the flow of liquid crystals. Zbl 1007.76057Du, Qiang; Guo, Benyu; Shen, Jie 11 2001 An augmented Lagrangian method for parameter identifications in parabolic systems. Zbl 0995.35080Guo, Ben-yu; Zou, Jun 8 2001 ...and 109 more Documents all cited Publications top 5 cited Publications 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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