Edit Profile (opens in new tab) Guo, Ben-Yu Compute Distance To: Compute Author ID: guo.ben-yu Published as: Guo, Benyu; Guo, Ben-Yu; Guo, Ben-yu; Kuo, Penyu; Guo, Ben Yu; Guo, B. Y.; Guo, Ben-Yu.; Guo, Benju; Guo, B.-Y. more...less External Links: MGP · dblp · GND Documents Indexed: 292 Publications since 1974, including 1 Book 3 Contributions as Editor Biographic References: 2 Publications Co-Authors: 76 Co-Authors with 232 Joint Publications 3,450 Co-Co-Authors all top 5 Co-Authors 63 single-authored 26 Ma, Heping 26 Wang, Zhongqing 22 Cao, Weiming 16 Wang, Lilian 10 Shen, Jie 10 Wang, Yuanming 9 Chen, Zhixiong 9 Li, Jian 9 Wang, Tianjun 9 Xu, Chenglong 8 Jiao, Yujian 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 David 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 Cho, Chung-Ki 1 Chu, Delin 1 Conte, Robert Maurice 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 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 Journal of Physics A: Mathematical and General 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 International Journal of Numerical Analysis and Modeling 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 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 Conference Series. Boole Press 1 Lecture Notes in Mathematics 1 Frontiers of Mathematics in China 1 Communications in Computational Physics 1 Science China. Mathematics 1 Scientia Sinica. Mathematica 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 231 Numerical analysis (65-XX) 158 Partial differential equations (35-XX) 103 Fluid mechanics (76-XX) 33 Ordinary differential equations (34-XX) 26 Approximations and expansions (41-XX) 11 Quantum theory (81-XX) 8 Special functions (33-XX) 8 Biology and other natural sciences (92-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) 3 Global analysis, analysis on manifolds (58-XX) 2 Harmonic analysis on Euclidean spaces (42-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 Open 214 Publications have been cited 2,471 times in 1,070 Documents Cited by ▼ Year ▼ Spectral methods and their applications. Zbl 0906.65110Guo, Ben-Yu 131 1998 Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces. Zbl 1057.41003Guo, Ben-yu; Wang, Li-lian 120 2004 Numerical solution of the sine-Gordon equation. Zbl 0622.65131Guo, Benyu; Pascual, Pedro J.; Rodriguez, María J.; Vázquez, Luis 93 1986 Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047Guo, Benyu; Shen, Jie; Wang, Li-Lian 84 2006 Jacobi approximations in certain Hilbert spaces and their applications to singular differential equations. Zbl 0951.41006Guo, Benyu 76 2000 Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval. Zbl 0969.65094Guo, Ben-Yu; Shen, Jie 72 2000 Error estimation of Hermite spectral method for nonlinear partial differential equations. Zbl 0918.65069Guo, Ben-yu 66 1999 Jacobi interpolation approximations and their applications to singular differential equations. Zbl 0984.41004Guo, Benyu; Wang, Lilian 54 2001 A rational approximation and its applications to differential equations on the half line. Zbl 0984.65104Guo, Benyu; Shen, Jie; Wang, Zhongqing 52 2000 Generalized Jacobi polynomials/functions and their applications. Zbl 1171.33006Guo, Ben-Yu; Shen, Jie; Wang, Li-Lian 48 2009 Generalized Laguerre interpolation and pseudospectral method for unbounded domains. Zbl 1116.41002Guo, Ben-Yu; Wang, Li-Lian; Wang, Zhong-Qing 47 2006 Chebyshev rational spectral and pseudospectral methods on a semi-infinite interval. Zbl 1001.65129Guo, Benyu; Shen, Jie; Wang, Zhongqing 40 2002 Spectral and pseudospectral approximations using Hermite functions: Application to the Dirac equation. Zbl 1032.33004Guo, Ben-yu; Shen, Jie; Xu, Cheng-long 40 2003 Combined Hermite spectral-finite difference method for the Fokker-Planck equation. Zbl 1007.65068Fok, Johnson C. M.; Guo, Benyu; Tang, Tao 37 2002 Jacobi spectral approximations to differential equations on the half line. Zbl 0948.65071Guo, Benyu 35 2000 A new generalized Laguerre spectral approximation and its applications. Zbl 1072.65155Guo, Benyu; Zhang, Xiaoyong 34 2005 A multistep Legendre-Gauss spectral collocation method for nonlinear Volterra integral equations. Zbl 1305.65246Sheng, Chang-Tao; Wang, Zhong-Qing; Guo, Ben-Yu 34 2014 Legendre-Gauss collocation methods for ordinary differential equations. Zbl 1162.65375Guo, Ben-yu; Wang, Zhong-qing 33 2009 Gegenbauer approximation and its applications to differential equations on the whole line. Zbl 0913.41020Guo, Ben-yu 33 1998 The Fourier pseudospectral method with a restrain operator for the RLW equation. Zbl 0684.65097Guo, Benyu; Cao, Weiming 32 1988 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 30 2001 Laguerre pseudospectral method for nonlinear partial differential equations. Zbl 1005.65115Xu, Chenglong; Guo, Benyu 29 2002 Hermite pseudospectral method for nonlinear partial differential equations. Zbl 0966.65072Guo, Benyu; Xu, Chenglong 27 2000 A Legendre spectral method for solving the nonlinear Klein-Gordon equation. Zbl 0856.65117Guo, Ben-Yu; Li, Xun; Vázquez, Luis 25 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 25 2007 Legendre-Gauss collocation method for initial value problems of second order ordinary differential equations. Zbl 1162.65374Guo, Ben-Yu; Yan, Jian-Ping 24 2009 Spectral vanishing viscosity method for nonlinear conservation laws. Zbl 1020.65071Guo, Ben-yu; Ma, He-ping; Tadmor, Eitan 23 2001 Generalized Laguerre approximation and its applications to exterior problems. Zbl 1073.65130Guo, Benyu; Shen, Jie; Xu, Chenglong 23 2005 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 23 2009 Gegenbauer approximation in certain Hilbert spaces and its applications to singular differential equations. Zbl 0947.65112Guo, Ben-Yu 22 2000 Legendre-Gauss-Radau collocation method for solving initial value problems of first order ordinary differential equations. Zbl 1255.65133Wang, Zhong-qing; Guo, Ben-yu 21 2012 Composite Laguerre-Legendre spectral method for exterior problems. Zbl 1189.65238Guo, Ben-yu; Wang, Tian-jun 19 2010 Generalized Jacobi rational spectral method and its applications. Zbl 1203.33013Guo, Ben-Yu; Yi, Yong-Gang 19 2010 A Legendre pseudospectral method for solving nonlinear Klein-Gordon equation. Zbl 0876.65073Li, Xun; Guo, B. Y. 19 1997 Analytic solutions of the Nagumo equation. Zbl 0774.35085Chen, Zhixiong; Guo, Benyu 18 1992 Spectral method on quadrilaterals. Zbl 1207.65141Guo, Ben-Yu; Jia, Hong-Li 18 2010 Jacobi and Laguerre quasi-orthogonal approximations and related interpolations. Zbl 1264.41008Guo, Ben-Yu; Sunl, Tao; Zhang, Chao 17 2013 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 rational approximation and its applications to nonlinear partial differential equations on the whole line. Zbl 1121.41303Wang, Zhong-Qing; Guo, Ben-Yu 17 2002 Analytic solutions of the Fisher equation. Zbl 0759.35026Guo, Benyu; Chen, Zhixiong 16 1991 Composite Legendre-Laguerre approximation in unbounded domains. Zbl 0980.65135Guo, Benyu; Ma, Heping 16 2001 Fourier collocation method for solving nonlinear Klein-Gordon equation. Zbl 0791.65095Cao, Weiming; Guo, Benyu 16 1993 Composite generalized Laguerre-Legendre pseudospectral method for Fokker-Planck equation in an infinite channel. Zbl 1151.65077Wang, Tian-Jun; Guo, Ben-Yu 16 2008 A spectral method for the vorticity equation on the surface. Zbl 0827.76056Guo, Benyu 16 1995 Composite Laguerre-Legendre spectral method for fourth-order exterior problems. Zbl 1203.65265Guo, Ben-Yu; Wang, Tian-Jun 15 2010 Fourier spectral approximation to a dissipative system modeling the flow of liquid crystals. Zbl 1007.76057Du, Qiang; Guo, Benyu; Shen, Jie 15 2001 Some progress in spectral methods. Zbl 1304.65227Guo, Benyu 15 2013 Modified Legendre rational spectral method for the whole line. Zbl 1071.65158Wang, Zhongqing; Guo, Benyu 14 2004 Spectral element method for mixed inhomogeneous boundary value problems of fourth order. Zbl 1305.65236Yu, Xu-Hong; Guo, Ben-Yu 14 2014 Numerical integration based on Laguerre-Gauss interpolation. Zbl 1173.65312Guo, Benyu; Wang, Zhongqing 14 2007 Error analysis of spectral method on a triangle. Zbl 1116.65122Guo, Ben-yu; Wang, Li-Lian 14 2007 Generalized Jacobi rational spectral method on the half line. Zbl 1259.65156Yi, Yong-gang; Guo, Ben-yu 13 2012 Pseudospectral method using generalized Laguerre functions for singular problems on unbounded domains. Zbl 1169.65113Wang, Zhong-Qing; Guo, Ben-Yu; Wu, Yan-Na 13 2009 A spectral-difference method for solving two-dimensional vorticity equations. Zbl 0668.76022Guo, Benyu 13 1988 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 The Fourier-Chebyshev spectral method for solving two-dimensional unsteady vorticity equations. Zbl 0757.76047Guo, Benyu; Ma, Heping; Cao, Weiming; Huang, Hui 12 1992 Petrov-Galerkin spectral element method for mixed inhomogeneous boundary value problems on polygons. Zbl 1218.65136Jia, Hongli; Guo, Benyu 12 2010 Spectral method for solving Navier-Stokes equation. Zbl 0626.76034Guo, Benyu 12 1985 Mixed Laguerre-Legendre pseudospectral method for incompressible fluid flow in an infinite strip. Zbl 1093.76047Guo, Benyu; Xu, Chenglong 12 2004 Modified Chebyshev rational spectral method for the whole line. Zbl 1060.65112Guo, Ben-Yu; Wang, Zhongqing 12 2003 The Chebyshev spectral method for Burgers-like equations. Zbl 0641.65084Ma, Heping; Guo, Benyu 11 1988 The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation. Zbl 0589.65077Ma, Heping; Guo, Benyu 11 1986 The convergence of a numerical method for the nonlinear Schrödinger equation. Zbl 0598.65092Guo, Benyu 11 1986 Generalized Hermite spectral method matching asymptotic behaviors. Zbl 1291.65251Zhang, Chao; Guo, Ben-yu 11 2014 Jacobi rational approximation and spectral method for differential equations of degenerate type. Zbl 1132.41315Wang, Zhong-Qing; Guo, Ben-Yu 11 2008 Fourier spectral projection method and nonlinear convergence analysis for Navier–Stokes equations. Zbl 1040.35061Guo, Ben Yu; Zou, Jun 11 2003 The Fourier pseudo-spectral method for the SRLW equation. Zbl 0729.65074Zheng, Jiadong; Zhang, Rufen; Guo, Benyu 10 1989 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 10 1998 A spectral collocation method for solving initial value problems of first order ordinary differential equations. Zbl 1205.65225Guo, Ben-Yu; Wang, Zhong-Qing 10 2010 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 9 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 9 2012 Composite Legendre-Laguerre pseudospectral approximation in unbounded domains. Zbl 0993.65106Ma, Heping; Guo, Benyu 9 2001 Mixed Laguerre-Legendre spectral method for incompressible flow in an infinite strip. Zbl 0992.76071Xu, Chenglong; Guo, Benyu 9 2002 On Numerov scheme for nonlinear two-points boundary value problem. Zbl 0921.65058Wang, Yuanming; Guo, Benyu 9 1998 Combined finite element and pseudospectral method for the two-dimensional evolutionary Navier–Stokes equations. Zbl 0778.76051Guo, Benyu; Ma, Heping 9 1993 Spherical harmonic-generalized Laguerre spectral method for exterior problems. Zbl 1099.76048Zhang, Xiaoyong; Guo, Benyu 9 2006 Non-isotropic Jacobi spectral method. Zbl 1040.65097Guo, Benyu; Wang, Lilian 9 2003 On non-isotropic Jacobi pseudospectral method. Zbl 1174.65052Guo, Benyu; Zhang, Keji 8 2008 An augmented Lagrangian method for parameter identifications in parabolic systems. Zbl 0995.35080Guo, Ben-yu; Zou, Jun 8 2001 An almost monotone approximation for a nonlinear two-point boundary value problem. Zbl 0892.65054Guo, Benyu; Wang, Yuanming 8 1998 Legendre rational approximation on the whole line. Zbl 1084.41006Guo, Benyu; Wang, Zhongqing 8 2004 Composite Laguerre-Legendre pseudospectral method for exterior problems. Zbl 1364.65266Wang, Tian-Jun; Guo, Ben-Yu 8 2009 The convergence of the spectral scheme for solving two-dimensional vorticity equations. Zbl 0599.76030Guo, Benyu 8 1983 Iterative and Petrov-Galerkin methods for solving a system of one- dimensional nonlinear elliptic equations. Zbl 0812.65077Guo, Ben-yu; Miller, J. J. H. 7 1992 Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions. Zbl 1213.65125Xu, Cheng-Long; Guo, Ben-Yu 7 2003 A monotone compact implicit scheme for nonlinear reaction-diffusion equations. Zbl 1174.65030Wang, Yuanming; Guo, Benyu 7 2008 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 A spectral-difference method for two-dimensional viscous flow. Zbl 0679.76036Guo, Benyu; Xiong, Yeushan 7 1989 The Fourier pseudospectral method for two-dimensional vorticity equations. Zbl 0607.76019Ma, Heping; Guo, Benyu 7 1987 Generalized stability of discretization and its applications to numerical solutions of nonlinear differential equations. Zbl 0811.65071Guo, Benyu 7 1994 Mixed Legendre-Hermite pseudospectral method for heat transfer in an infinite plate. Zbl 1086.65099Wang, Tian-jun; Guo, Ben-yu 7 2005 A collocation method for initial value problems of second-order ODEs by using Laguerre functions. Zbl 1249.65153Yan, Jianping; Guo, Benyu 7 2011 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 7 2006 Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems. Zbl 1154.65079Wang, Yuan-Ming; Guo, Ben-Yu 7 2008 Mixed Jacobi-spherical harmonic spectral method for Navier-Stokes equations. Zbl 1123.76046Guo, Benyu; Huang, Wei 7 2007 Interpolation approximations based on Gauss-Lobatto-Legendre-Birkhoff quadrature. Zbl 1179.47014Wang, Li-Lian; Guo, Ben-Yu 6 2009 On Harry-Dym equation and its solution. Zbl 0686.35098Guo, Benyu; Rogers, C. 6 1989 A new generalized Laguerre spectral approximation and its applications. Zbl 1080.65097Guo, Benyu; Zhang, Xiao-yong 6 2005 Analysis of a nonlinear difference scheme in reaction-diffusion. Zbl 0615.65097Guo, Benyu; Mitchell, A. R. 6 1986 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 9 2016 Spectral method for fourth-order problems on quadrilaterals. Zbl 1338.65258Yu, Xu-hong; Guo, Ben-yu 4 2016 A new pseudospectral method on quadrilaterals. Zbl 1374.65199Guo, Benyu; Jia, Hongli 2 2016 Spectral method for Navier-Stokes equations with non-slip boundary conditions by using divergence-free base functions. Zbl 1457.65143Guo, Ben-yu; Jiao, Yu-jian 2 2016 Generalized Hermite spectral method matching different algebraic decay at infinities. Zbl 1329.41024Guo, Ben-yu; Zhang, Chao 5 2015 Spectral and pseudospectral methods for unbounded domains. Zbl 1488.65500Guo, Benyu 2 2015 A multistep Legendre-Gauss spectral collocation method for nonlinear Volterra integral equations. Zbl 1305.65246Sheng, Chang-Tao; Wang, Zhong-Qing; Guo, Ben-Yu 34 2014 Spectral element method for mixed inhomogeneous boundary value problems of fourth order. Zbl 1305.65236Yu, Xu-Hong; Guo, Ben-Yu 14 2014 Generalized Hermite spectral method matching asymptotic behaviors. Zbl 1291.65251Zhang, Chao; Guo, Ben-yu 11 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 6 2014 A collocation method for generalized nonlinear Klein-Gordon equation. Zbl 1300.65072Guo, Ben-Yu; Wang, Zhong-Qing 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 17 2013 Some progress in spectral methods. Zbl 1304.65227Guo, Benyu 15 2013 The spectral method for high order problems with proper simulations of asymptotic behaviors at infinity. Zbl 1255.65150Guo, Ben-Yu; Zhang, Chao 5 2013 Generalized Jacobi approximation in multiple dimensions and its applications. Zbl 1272.65097Sun, Tao; Guo, Ben-yu 3 2013 The Laguerre spectral method for high order problems. Zbl 1299.65280Zhang, Chao; Guo, Benyu; Sun, Tao 1 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 21 2012 Generalized Jacobi rational spectral method on the half line. Zbl 1259.65156Yi, Yong-gang; Guo, Ben-yu 13 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 9 2012 Spectral methods for mixed inhomogeneous boundary value problems in three dimensions. Zbl 1289.65266Wang, Tianjun; Guo, Benyu; Li, Wei 5 2012 Mixed spectral method for Navier-Stokes equations in an infinite strip by using generalized Laguerre functions. Zbl 1263.76023Jiao, Yujian; Guo, Benyu 3 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 7 2011 Multidomain pseudospectral methods for nonlinear convection-diffusion equations. Zbl 1237.65112Ji, Yuan-yuan; Wu, Hua; Ma, He-ping; Guo, Ben-yu 4 2011 Laguerre-Gauss collocation method for initial value problems of second order ODEs. Zbl 1238.65084Yan, Jian-ping; Guo, Ben-yu 2 2011 Pseudospectral method for quadrilaterals. Zbl 1232.65155Guo, Ben-Yu; Jia, Hong-Li 1 2011 Composite Laguerre-Legendre spectral method for exterior problems. Zbl 1189.65238Guo, Ben-yu; Wang, Tian-jun 19 2010 Generalized Jacobi rational spectral method and its applications. Zbl 1203.33013Guo, Ben-Yu; Yi, Yong-Gang 19 2010 Spectral method on quadrilaterals. Zbl 1207.65141Guo, Ben-Yu; Jia, Hong-Li 18 2010 Composite Laguerre-Legendre spectral method for fourth-order exterior problems. Zbl 1203.65265Guo, Ben-Yu; Wang, Tian-Jun 15 2010 Petrov-Galerkin spectral element method for mixed inhomogeneous boundary value problems on polygons. Zbl 1218.65136Jia, Hongli; Guo, Benyu 12 2010 A spectral collocation method for solving initial value problems of first order ordinary differential equations. Zbl 1205.65225Guo, Ben-Yu; Wang, Zhong-Qing 10 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 48 2009 Legendre-Gauss collocation methods for ordinary differential equations. Zbl 1162.65375Guo, Ben-yu; Wang, Zhong-qing 33 2009 Legendre-Gauss collocation method for initial value problems of second order ordinary differential equations. Zbl 1162.65374Guo, Ben-Yu; Yan, Jian-Ping 24 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 23 2009 Pseudospectral method using generalized Laguerre functions for singular problems on unbounded domains. Zbl 1169.65113Wang, Zhong-Qing; Guo, Ben-Yu; Wu, Yan-Na 13 2009 Composite Laguerre-Legendre pseudospectral method for exterior problems. Zbl 1364.65266Wang, Tian-Jun; Guo, Ben-Yu 8 2009 Interpolation approximations based on Gauss-Lobatto-Legendre-Birkhoff quadrature. Zbl 1179.47014Wang, Li-Lian; 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 4 2009 Mixed generalized Laguerre-Fourier spectral method for exterior problem of Navier-Stokes equations. Zbl 1161.76044Guo, Benyu; Jiao, Yujian 4 2009 Mixed spectral method for exterior problems for Navier-Stokes equations by using generalized Laguerre functions. Zbl 1167.76030Jiao, Yujian; Guo, Benyu 1 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 16 2008 Jacobi rational approximation and spectral method for differential equations of degenerate type. Zbl 1132.41315Wang, Zhong-Qing; Guo, Ben-Yu 11 2008 On non-isotropic Jacobi pseudospectral method. Zbl 1174.65052Guo, Benyu; Zhang, Keji 8 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 7 2008 Irrational approximations and their applications to partial differential equations in exterior domains. Zbl 1140.65087Guo, Ben-yu; Shen, Jie 5 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 5 2008 Navier-Stokes equations with slip boundary conditions. Zbl 1133.35420Guo, Ben-Yu 4 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 2 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 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 25 2007 Numerical integration based on Laguerre-Gauss interpolation. Zbl 1173.65312Guo, Benyu; Wang, Zhongqing 14 2007 Error analysis of spectral method on a triangle. Zbl 1116.65122Guo, Ben-yu; Wang, Li-Lian 14 2007 Mixed Jacobi-spherical harmonic spectral method for Navier-Stokes equations. Zbl 1123.76046Guo, Benyu; Huang, Wei 7 2007 Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047Guo, Benyu; Shen, Jie; Wang, Li-Lian 84 2006 Generalized Laguerre interpolation and pseudospectral method for unbounded domains. Zbl 1116.41002Guo, Ben-Yu; Wang, Li-Lian; Wang, Zhong-Qing 47 2006 Spherical harmonic-generalized Laguerre spectral method for exterior problems. Zbl 1099.76048Zhang, Xiaoyong; Guo, Benyu 9 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 7 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 5 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 34 2005 Generalized Laguerre approximation and its applications to exterior problems. Zbl 1073.65130Guo, Benyu; Shen, Jie; Xu, Chenglong 23 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 7 2005 A new generalized Laguerre spectral approximation and its applications. Zbl 1080.65097Guo, Benyu; Zhang, Xiao-yong 6 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 120 2004 Modified Legendre rational spectral method for the whole line. Zbl 1071.65158Wang, Zhongqing; Guo, Benyu 14 2004 Mixed Laguerre-Legendre pseudospectral method for incompressible fluid flow in an infinite strip. Zbl 1093.76047Guo, Benyu; Xu, Chenglong 12 2004 Legendre rational approximation on the whole line. Zbl 1084.41006Guo, Benyu; Wang, Zhongqing 8 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 40 2003 Modified Chebyshev rational spectral method for the whole line. Zbl 1060.65112Guo, Ben-Yu; Wang, Zhongqing 12 2003 Fourier spectral projection method and nonlinear convergence analysis for Navier–Stokes equations. Zbl 1040.35061Guo, Ben Yu; Zou, Jun 11 2003 Non-isotropic Jacobi spectral method. Zbl 1040.65097Guo, Benyu; Wang, Lilian 9 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 40 2002 Combined Hermite spectral-finite difference method for the Fokker-Planck equation. Zbl 1007.65068Fok, Johnson C. M.; Guo, Benyu; Tang, Tao 37 2002 Laguerre pseudospectral method for nonlinear partial differential equations. Zbl 1005.65115Xu, Chenglong; Guo, Benyu 29 2002 A rational approximation and its applications to nonlinear partial differential equations on the whole line. Zbl 1121.41303Wang, Zhong-Qing; Guo, Ben-Yu 17 2002 Mixed Laguerre-Legendre spectral method for incompressible flow in an infinite strip. Zbl 0992.76071Xu, Chenglong; Guo, Benyu 9 2002 Some developments in spectral methods for nonlinear partial differential equations in unbounded domains. Zbl 1019.65080Guo, Benyu 4 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 54 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 30 2001 ...and 114 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,225 Authors 106 Guo, Ben-Yu 41 Wang, Zhongqing 36 Bhrawy, Ali Hassan 34 Wang, Lilian 33 Dehghan Takht Fooladi, Mehdi 32 Doha, Eid H. 30 Shen, Jie 26 Li, Huiyuan 25 Ma, Heping 24 Wang, Tianjun 24 Wang, Yuanming 21 Macías-Díaz, Jorge Eduardo 20 Chen, Yanping 18 Zhang, Zhimin 15 Nelakanti, Gnaneshwar 14 Parand, Kourosh 14 Yi, Lijun 12 Abd-Elhameed, Waleed Mohamed 12 Huang, Yunqing 11 Băleanu, Dumitru I. 11 Liu, Wen-Jie 10 Hafez, Ramy Mahmoud 10 Jiao, Yujian 10 Yu, Xuhong 10 Zhang, Chao 10 Zhang, Xiaoyong 9 Zhang, Zhongqiang 9 Zhao, Jingjun 8 Abbasbandy, Saeid 8 Bao, Weizhu 8 Das, Payel 8 Lu, Shujuan 8 Maleki, Mohammad Reza 8 Omrani, Khaled 8 Zhang, Luming 7 An, Jing 7 Rogers, Colin 7 Sun, Tao 7 Tang, Tao 7 Yang, Yin 6 Alghamdi, Mohammed Ali 6 Cao, Weiming 6 Ervin, Vincent J. 6 Guo, Benqi 6 Huang, Can 6 Luo, Zhendong 6 Sadri, Khadijeh 6 Wang, Tingchun 6 Wang, Yushun 6 Wu, Boying 6 Xu, Yang 6 Youssri, Youssri H. 6 Zheng, Xiangcheng 5 Bradshaw-Hajek, Bronwyn H. 5 Bratsos, Athanassios G. 5 Carillo, Sandra 5 Dong, Xuanchun 5 Fakhar-Izadi, Farhad 5 Guo, Yuling 5 Ibragimov, Ranis N. 5 Jia, Hongli 5 Karakoç, Seydi Battal Gazi 5 Li, Jian 5 Mirzaei, Davoud 5 Panigrahi, Bijaya Laxmi 5 Sheng, Changtao 5 Wang, Hong 5 Wu, Xinyuan 5 Xu, Chuanju 4 Abdelkawy, Mohamed A. 4 Agarwal, Ravi P. 4 Ahmed, Hany M. 4 Assas, Laila M. B. 4 Broadbridge, Philip 4 Cai, Haotao 4 Chen, Hu 4 Chen, Wenping 4 Dağ, İdris 4 Deng, Weihua 4 Eslahchi, Mohammad Reza 4 Han, Jiayu 4 Hao, Zhaopeng 4 Hauck, Cory D. 4 He, Liping 4 Hendy, Ahmed S. 4 Jiang, Chaolong 4 Jiang, Xiaoyun 4 Li, Shan 4 Liu, Changying 4 Liu, Chun 4 Mei, Liquan 4 Nahid, Nilofar 4 Rashidinia, Jalil 4 Rezaei, Ahmad Reza 4 Shokri, Ali 4 Wang, Cheng 4 Wang, Lina 4 Wang, Yingwei 4 Wu, Yujiang 4 Xu, Chenglong ...and 1,125 more Authors all top 5 Cited in 183 Serials 84 Applied Numerical Mathematics 80 Journal of Computational and Applied Mathematics 77 Journal of Scientific Computing 76 Applied Mathematics and Computation 49 Journal of Computational Physics 40 International Journal of Computer Mathematics 31 Computers & Mathematics with Applications 31 Mathematics of Computation 23 Numerical Methods for Partial Differential Equations 23 Numerical Algorithms 19 Mathematical Methods in the Applied Sciences 19 Advances in Computational Mathematics 17 Mathematical Problems in Engineering 17 Advances in Difference Equations 15 Abstract and Applied Analysis 14 Journal of Mathematical Analysis and Applications 14 SIAM Journal on Numerical Analysis 14 Communications in Nonlinear Science and Numerical Simulation 13 Applied Mathematics and Mechanics. 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Modélisation Mathématique et Analyse Numérique 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Applied Mathematics. Series B (English Edition) 4 Engineering Analysis with Boundary Elements 4 International Journal of Numerical Analysis and Modeling 4 Symmetry 4 S\(\vec{\text{e}}\)MA Journal 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 BIT 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 Journal of Inequalities and Applications 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 Discrete and Continuous Dynamical Systems. Series S 3 Advances in Mathematical Physics 3 Science China. Mathematics 3 Mathematical Sciences 2 International Journal for Numerical Methods in Fluids 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Statistical Physics 2 Wave Motion 2 Automatica 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 Applied Mathematics Letters 2 Science in China. Series A 2 Japan Journal of Industrial and Applied Mathematics 2 Acta Mathematica Sinica. 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Second Series 2 Inverse Problems in Science and Engineering 2 Tbilisi Mathematical Journal 2 International Journal of Differential Equations 2 International Journal for Numerical Methods in Biomedical Engineering 2 Analysis and Mathematical Physics 2 Evolution Equations and Control Theory ...and 83 more Serials all top 5 Cited in 42 Fields 896 Numerical analysis (65-XX) 547 Partial differential equations (35-XX) 139 Fluid mechanics (76-XX) 124 Ordinary differential equations (34-XX) 96 Integral equations (45-XX) 94 Approximations and expansions (41-XX) 71 Special functions (33-XX) 43 Real functions (26-XX) 32 Dynamical systems and ergodic theory (37-XX) 30 Quantum theory (81-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 27 Statistical mechanics, structure of matter (82-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 20 Biology and other natural sciences (92-XX) 19 Optics, electromagnetic theory (78-XX) 15 Probability theory and stochastic processes (60-XX) 12 Mechanics of deformable solids (74-XX) 11 Systems theory; control (93-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Functional analysis (46-XX) 9 Operator theory (47-XX) 7 Difference and functional equations (39-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Geophysics (86-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Astronomy and astrophysics (85-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 3 Relativity and gravitational theory (83-XX) 3 Operations research, mathematical programming (90-XX) 2 Potential theory (31-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year