Edit Profile (opens in new tab) Song, Yongzhong Compute Distance To: Compute Author ID: song.yongzhong Published as: Song, Yongzhong; Song, Yong-Zhong; Song, Y. more...less Documents Indexed: 118 Publications since 1985 1 Contribution as Editor Co-Authors: 57 Co-Authors with 65 Joint Publications 2,086 Co-Co-Authors all top 5 Co-Authors 40 single-authored 12 Wang, Yushun 9 Wang, Li 7 Zhou, Xiaojian 6 Bao, Wendi 6 Chen, Xin 5 Cai, Wenjun 4 Cao, Guangxi 4 Liu, Hong 3 Fang, Yonglei 3 Huang, Yanli 3 Lardner, Robin W. 3 Wu, Xinyuan 2 Cai, Xingju 2 Han, Deren 2 Jiang, Chaolong 2 Li, Qinghong 2 Lu, Lin 2 Lv, Xiaoguang 2 Song, Juan 2 Wang, Qi 2 Yang, Yanhong 2 Zhou, Xiaoxia 1 Beik, Fatemeh Panjeh Ali 1 Chui, W. 1 Fan, Yunxia 1 Fu, Yayun 1 Gao, Xue 1 Glimm, James G. 1 Goro, Oumarou 1 Gowda, Muddappa Seetharama 1 Gu, Ying 1 Guionnet, Alice 1 Hasani, Mohsen 1 Hu, Dongdong 1 Ji, Guojun 1 Jia, ZeHui 1 Kallel, Sadok 1 Khojasteh Salkuyeh, Davod 1 Le, Jiang 1 Li, Fang 1 Li, Haochen 1 Li, Juan 1 Li, Linlin 1 Li, Weiguo 1 Li, Zhilin 1 Lindquist, Brent 1 Liu, Qingsheng 1 Liu, Suzhen 1 Qian, Xiaoyan 1 Shao, Hongmei 1 Shen, I. Y. 1 Shen, Shuqian 1 Sjerve, Denis K. 1 Sun, Mingjun 1 Tan, Xueyuan 1 Tang, Tao 1 Tangerman, Folkert M. 1 Wan, Hui 1 Wang, David Z. W. 1 Wang, Qiang 1 Wang, Shunxu 1 Wang, Tanxing 1 Wang, Wei 1 Wu, Meijun 1 Xu, Zhuangzhi 1 Yang, Limin 1 Yuan, Dongjin 1 Zhang, Chun 1 Zhao, Kun 1 Zhao, Songqing 1 Zhu, Huaiping all top 5 Serials 18 Applied Mathematics and Computation 13 Journal of Computational and Applied Mathematics 5 Calcolo 5 Mathematica Numerica Sinica 5 Mathematica Applicata 5 Linear Algebra and its Applications 3 Journal of Computational Physics 3 Numerische Mathematik 3 Applied Numerical Mathematics 3 International Journal of Computer Mathematics 2 Computer Physics Communications 2 Physics Letters. A 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Acta Mathematica Sinica 2 BIT 2 Numerical Mathematics 2 Annals of Differential Equations 2 Numerical Linear Algebra with Applications 2 Computational and Applied Mathematics 2 Pure and Applied Mathematics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Journal of Applied Mathematics and Computing 1 International Journal of Modern Physics B 1 Computers & Mathematics with Applications 1 International Journal for Numerical Methods in Fluids 1 Journal of Applied Mechanics 1 Journal of the Mechanics and Physics of Solids 1 Theoretical and Mathematical Physics 1 Computing 1 International Journal for Numerical Methods in Engineering 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Journal of Computational Mathematics 1 Journal of Nanjing University. Mathematical Biquarterly 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 Annals of Operations Research 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Numerical Mathematics 1 Advances in Computational Mathematics 1 Journal on Numerical Methods and Computer Applications 1 Journal of Nanjing Normal University. Natural Science Edition 1 Communications in Nonlinear Science and Numerical Simulation 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Mathematical Biosciences and Engineering 1 Pacific Journal of Optimization 1 Inverse Problems and Imaging 1 Advances in Applied Mathematics and Mechanics 1 Journal of Applied Mathematics & Informatics 1 Random Matrices: Theory and Applications all top 5 Fields 97 Numerical analysis (65-XX) 15 Ordinary differential equations (34-XX) 13 Partial differential equations (35-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 6 Fluid mechanics (76-XX) 5 Operations research, mathematical programming (90-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Probability theory and stochastic processes (60-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Information and communication theory, circuits (94-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 82 Publications have been cited 535 times in 406 Documents Cited by ▼ Year ▼ Constructing higher-order methods for obtaining the multiple roots of nonlinear equations. Zbl 1219.65048Zhou, Xiaojian; Chen, Xin; Song, Yongzhong 50 2011 Comparisons of nonnegative splittings of matrices. Zbl 0732.65024Song, Yongzhong 30 1991 Families of third and fourth order methods for multiple roots of nonlinear equations. Zbl 1273.65064Zhou, Xiaojian; Chen, Xin; Song, Yongzhong 27 2013 Comparison theorems for splittings of matrices. Zbl 1012.65028Song, Yongzhong 25 2002 Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions. Zbl 1452.65393Cai, Wenjun; Jiang, Chaolong; Wang, Yushun; Song, Yongzhong 24 2019 Differential transform method applied to high index differential-algebraic equations. Zbl 1115.65089Liu, Hong; Song, Yongzhong 23 2007 Some new results for the semidefinite linear complementarity problem. Zbl 1028.90071Gowda, M. Seetharama; Song, Y. 21 2002 Preconditioned AOR iterative method for linear systems. Zbl 1127.65020Wu, Meijun; Wang, Li; Song, Yongzhong 20 2007 A robust trigonometrically fitted embedded pair for perturbed oscillators. Zbl 1168.65362Fang, Yonglei; Song, Yongzhong; Wu, Xinyuan 20 2009 Modified AOR methods for linear complementarity problem. Zbl 1030.65065Yuan, Dongjin; Song, Yongzhong 18 2003 Preconditioned AOR iterative methods for \(M\)-matrices. Zbl 1175.65043Wang, Li; Song, Yongzhong 18 2009 On the convergence of the MAOR method. Zbl 0882.65017Song, Yongzhong 15 1997 On the convergence of the generalized AOR method. Zbl 0872.65028Song, Yongzhong 14 1997 Image restoration with a high-order total variation minimization method. Zbl 1398.94043Lv, Xiao-Guang; Song, Yong-Zhong; Wang, Shun-Xu; Le, Jiang 14 2013 Convergence for nonnegative double splittings of matrices. Zbl 1232.65056Song, J.; Song, Y. 13 2011 On an inequality for the Hadamard product of an \(M\)-matrix and its inverse. Zbl 0946.15014Song, Yongzhong 13 2000 Preconditioned GAOR methods for solving weighted linear least squares problems. Zbl 1168.65020Zhou, Xiaoxia; Song, Yongzhong; Wang, Li; Liu, Qingsheng 11 2009 Semiconvergence of nonnegative splittings for singular matrices. Zbl 0947.65035Song, Yongzhong 11 2000 Trigonometrically fitted explicit Numerov-type method for periodic IVPs with two frequencies. Zbl 1197.65085Fang, Yonglei; Song, Yongzhong; Wu, Xinyuan 10 2008 Convergence of parallel multisplitting methods for \(H\)-matrices. Zbl 0824.65018Song, Yongzhong 10 1994 Dynamical analysis of a toxin-producing phytoplankton-zooplankton model with refuge. Zbl 1362.92064Li, Juan; Song, Yongzhong; Wan, Hui; Zhu, Huaiping 9 2017 An efficient nonconvex regularization for wavelet frame and total variation based image restoration. Zbl 1321.49058Lv, Xiao-Guang; Song, Yong-Zhong; Li, Fang 8 2015 A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations. Zbl 1448.65105Hu, Dongdong; Cai, Wenjun; Song, Yongzhong; Wang, Yushun 8 2020 Semiconvergence of extrapolated iterative methods for singular linear systems. Zbl 0930.65033Song, Yongzhong 8 1999 Extensions of the Ostrowski-Reich theorem in AOR iterations. Zbl 0603.65017Song, Yongzhong 7 1985 A note on the variation of the spectrum of an arbitrary matrix. Zbl 0995.15014Song, Yongzhong 7 2002 Regularization methods for solving differential-algebraic equations. Zbl 1026.65063Wang, Haiyan; Song, Yongzhong 7 2001 Numerical dispersion analysis of a multi-symplectic scheme for the three dimensional Maxwell’s equations. Zbl 1284.35419Cai, Wenjun; Wang, Yushun; Song, Yongzhong 6 2013 A successive quadratic approximations method for nonlinear eigenvalue problems. Zbl 1321.65083Qian, Xiaoyan; Wang, Li; Song, Yongzhong 6 2015 Some comparison theorems for nonnegative splittings of matrices. Zbl 0803.65035Song, Yongzhong 6 1993 On the convergence radius of the modified Newton method for multiple roots under the center-Hölder condition. Zbl 1330.65073Zhou, Xiaojian; Chen, Xin; Song, Yongzhong 5 2014 Semiconvergence of P-regular splittings for solving singular linear systems. Zbl 1175.65042Song, Yongzhong; Wang, Li 5 2008 Solvability of higher index time-varying linear differential-algebraic equations. Zbl 0992.65087Song, Yongzhong 5 2001 A new local energy-preserving algorithm for the BBM equation. Zbl 1427.65197Yang, Yanhong; Wang, Yushun; Song, Yongzhong 5 2018 On multi-symplectic partitioned Runge-Kutta methods for Hamiltonian wave equations. Zbl 1100.65116Li, Qinghong; Song, Yongzhong; Wang, Yushun 5 2006 The monotone convergence of splitting of matrices. Zbl 0698.65020Song, Yongzhong 5 1989 On the semiconvergence of extrapolated iterative methods for singular linear systems. Zbl 1027.65040Song, Yongzhong; Wang, Li 5 2003 On the convergence of GAOR methods. Zbl 0997.65524Song, Yongzhong 5 1989 New embedded pairs of explicit Runge-Kutta methods with FSAL properties adapted to the numerical integration of oscillatory problems. Zbl 1225.65072Fang, Yonglei; Song, Yongzhong; Wu, Xinyuan 4 2008 Convergence of the AOR iterative method. Zbl 0603.65018Song, Yongzhong 4 1986 Two stage waveform relaxation method for the initial value problems of differential-algebraic equations. Zbl 1236.65102Bao, Wendi; Song, Yongzhong 4 2011 Semiconvergence of block SOR method for singular linear systems with \(p\)-cyclic matrices. Zbl 1010.65016Song, Yongzhong 4 2001 On parallel multisplitting iterative methods for singular linear systems. Zbl 1069.65029Song, Yongzhong 4 2005 Splitting based on the outer inverse of matrices. Zbl 1034.65024Chen, Xin; Wang, Wei; Song, Yongzhong 4 2002 Convergence radius of Osada’s method under center-Hölder continuous condition. Zbl 1336.65086Zhou, Xiaojian; Song, Yongzhong 3 2014 Multiquadric quasi-interpolation methods for solving partial differential algebraic equations. Zbl 1282.65111Bao, Wendi; Song, Yongzhong 3 2014 A two-step SOR-Newton method for nonsmooth equations. Zbl 1183.65057Zhou, Xiaoxia; Song, Yongzhong; Wang, Li 3 2009 A note on an error bound for the AOR method. Zbl 0961.65030Song, Yongzhong 3 1999 Explicit one-step \(P\)-stable methods for second order periodic initial value problems. Zbl 1132.65066Li, Qinghong; Song, Yongzhong 3 2006 Crack bridging models for fiber composites with slip-dependent interfaces. Zbl 0806.73047Bao, G.; Song, Y. 3 1993 Waveform relaxation methods for initial value problems. Zbl 0790.65056Song, Yongzhong 3 1993 Convergence criteria for the generalized AOR method. (Konvergenzkriterien für das verallgemeinerte AOR-Verfahren.) Zbl 0767.65023Song, Y. 3 1992 On parallel multisplitting methods for symmetric positive semidefinite linear systems. Zbl 1224.65084Cao, Guangxi; Song, Yongzhong 2 2009 The convergence of the AOR iterative method, SOR iterative method and JOR iterative method. Zbl 0623.65036Song, Yongzhong 2 1987 AOR iterative methods for rank deficient least squares problems. Zbl 1156.65028Huang, Yanli; Song, Yongzhong 2 2008 An algorithm for three-dimensional convection and diffusion with very different horizontal and vertical length scales. Zbl 0756.76045Lardner, R. W.; Song, Y. 2 1991 Waveform relaxation methods and accuracy increase. Zbl 0838.34012Song, Yongzhong 2 1995 Stability and vibration of a rotating circular plate subjected to stationary in-plane edge loads. Zbl 0883.73036Shen, I. Y.; Song, Y. 2 1996 Maximum-norm error analysis of a conservative scheme for the damped nonlinear fractional Schrödinger equation. Zbl 07316767Fu, Yayun; Song, Yongzhong; Wang, Yushun 2 2019 Derivation of the multisymplectic Crank-Nicolson scheme for the nonlinear Schrödinger equation. Zbl 1360.35237Cai, Wenjun; Wang, Yushun; Song, Yongzhong 1 2014 USSOR methods for solving the rank deficient linear least squares problem. Zbl 1372.65116Song, Juan; Song, Yongzhong 1 2017 The PageRank model of minimal irreducible adjustment and its lumping method. Zbl 1308.65052Li, Linlin; Chen, Xin; Song, Yongzhong 1 2013 Convergence of eigenvalues to the support of the limiting measure in critical \(\beta\) matrix models. Zbl 1331.60018Fan, C.; Guionnet, A.; Song, Y.; Wang, A. 1 2015 A linearly implicit structure-preserving Fourier pseudo-spectral scheme for the damped nonlinear Schrödinger equation in three dimensions. Zbl 1436.65148Jiang, Chaolong; Song, Yongzhong; Wang, Yushun 1 2020 On sinc discretization method and block-tridiagonal preconditioning for second-order differential-algebraic equations. Zbl 1429.65174Bao, Wendi; Song, Yongzhong; Shao, Hongmei 1 2017 Semiconvergence of block AOR method for singular \(p\)-cyclic matrices. Zbl 1125.65027Huang, Yanli; Song, Yongzhong 1 2007 Monotone convergence of iterative methods for singular linear systems. Zbl 1028.65024Song, Yongzhong 1 2002 Applications of front tracking to the simulation of resin transfer molding. Zbl 0890.76084Song, Y.; Chui, W.; Glimm, J.; Lindquist, B.; Tangerman, F. 1 1997 Iterative SOR-type methods for solving least squares problems. (Méthodes itératives de type SOR pour résoudre les problèmes des moindres carres.) Zbl 0902.65014Song, Yongzhong; Goro, Oumarou 1 1998 Semiconvergence of parallel multisplitting methods for symmetric positive semidefinite linear systems. Zbl 1249.65064Cao, Guangxi; Song, Yongzhong 1 2011 Hopf bifurcation of a differential-algebraic bioeconomic model with time delay. Zbl 1264.91094Zhou, Xiaojian; Chen, Xin; Song, Yongzhong 1 2012 On the optimization of extrapolation methods for singular linear systems. Zbl 1174.65012Wang, Li; Song, Yongzhong 1 2008 On cyclic covers of the Riemann sphere and a related class of curves. Zbl 1086.81074Kallel, S.; Sjerve, D.; Song, Y. 1 2004 \(P\)-cyclic matrices and block accelerated overrelaxation method. Zbl 0933.65044Song, Yongzhong 1 1997 Convergence and comparisons of waveform relaxation methods for initial value problems of linear ODE systems. Zbl 0787.65038Song, Y. 1 1993 A comparison of spatial grids for numerical modelling of flows in near- coastal seas. Zbl 0741.76048Lardner, R. W.; Song, Y. 1 1992 Lower bounds for the Perron root of a nonnegative matrix. Zbl 0759.15012Song, Yongzhong 1 1992 Comparisons for nonnegative splittings of bounded linear operators. Zbl 1013.65048Song, Yongzhong 1 1999 Stability of numerical methods for solving linear index-3 DAEs. Zbl 1023.65082Liu, Hong; Song, Yongzhong 1 2003 Convergence radius of Halley’s method for multiple roots under center-Hölder continuous condition. Zbl 1410.65165Liu, Suzhen; Song, Yongzhong; Zhou, Xiaojian 1 2015 Comparisons of block iterative methods. Zbl 0993.65039Song, Yongzhong 1 2001 Local structure-preserving algorithms for the molecular beam epitaxy model with slope selection. Zbl 1476.65182Lu, Lin; Wang, Qi; Song, Yongzhong; Wang, Yushun 1 2021 Local structure-preserving algorithms for the molecular beam epitaxy model with slope selection. Zbl 1476.65182Lu, Lin; Wang, Qi; Song, Yongzhong; Wang, Yushun 1 2021 A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations. Zbl 1448.65105Hu, Dongdong; Cai, Wenjun; Song, Yongzhong; Wang, Yushun 8 2020 A linearly implicit structure-preserving Fourier pseudo-spectral scheme for the damped nonlinear Schrödinger equation in three dimensions. Zbl 1436.65148Jiang, Chaolong; Song, Yongzhong; Wang, Yushun 1 2020 Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions. Zbl 1452.65393Cai, Wenjun; Jiang, Chaolong; Wang, Yushun; Song, Yongzhong 24 2019 Maximum-norm error analysis of a conservative scheme for the damped nonlinear fractional Schrödinger equation. Zbl 07316767Fu, Yayun; Song, Yongzhong; Wang, Yushun 2 2019 A new local energy-preserving algorithm for the BBM equation. Zbl 1427.65197Yang, Yanhong; Wang, Yushun; Song, Yongzhong 5 2018 Dynamical analysis of a toxin-producing phytoplankton-zooplankton model with refuge. Zbl 1362.92064Li, Juan; Song, Yongzhong; Wan, Hui; Zhu, Huaiping 9 2017 USSOR methods for solving the rank deficient linear least squares problem. Zbl 1372.65116Song, Juan; Song, Yongzhong 1 2017 On sinc discretization method and block-tridiagonal preconditioning for second-order differential-algebraic equations. Zbl 1429.65174Bao, Wendi; Song, Yongzhong; Shao, Hongmei 1 2017 An efficient nonconvex regularization for wavelet frame and total variation based image restoration. Zbl 1321.49058Lv, Xiao-Guang; Song, Yong-Zhong; Li, Fang 8 2015 A successive quadratic approximations method for nonlinear eigenvalue problems. Zbl 1321.65083Qian, Xiaoyan; Wang, Li; Song, Yongzhong 6 2015 Convergence of eigenvalues to the support of the limiting measure in critical \(\beta\) matrix models. Zbl 1331.60018Fan, C.; Guionnet, A.; Song, Y.; Wang, A. 1 2015 Convergence radius of Halley’s method for multiple roots under center-Hölder continuous condition. Zbl 1410.65165Liu, Suzhen; Song, Yongzhong; Zhou, Xiaojian 1 2015 On the convergence radius of the modified Newton method for multiple roots under the center-Hölder condition. Zbl 1330.65073Zhou, Xiaojian; Chen, Xin; Song, Yongzhong 5 2014 Convergence radius of Osada’s method under center-Hölder continuous condition. Zbl 1336.65086Zhou, Xiaojian; Song, Yongzhong 3 2014 Multiquadric quasi-interpolation methods for solving partial differential algebraic equations. Zbl 1282.65111Bao, Wendi; Song, Yongzhong 3 2014 Derivation of the multisymplectic Crank-Nicolson scheme for the nonlinear Schrödinger equation. Zbl 1360.35237Cai, Wenjun; Wang, Yushun; Song, Yongzhong 1 2014 Families of third and fourth order methods for multiple roots of nonlinear equations. Zbl 1273.65064Zhou, Xiaojian; Chen, Xin; Song, Yongzhong 27 2013 Image restoration with a high-order total variation minimization method. Zbl 1398.94043Lv, Xiao-Guang; Song, Yong-Zhong; Wang, Shun-Xu; Le, Jiang 14 2013 Numerical dispersion analysis of a multi-symplectic scheme for the three dimensional Maxwell’s equations. Zbl 1284.35419Cai, Wenjun; Wang, Yushun; Song, Yongzhong 6 2013 The PageRank model of minimal irreducible adjustment and its lumping method. Zbl 1308.65052Li, Linlin; Chen, Xin; Song, Yongzhong 1 2013 Hopf bifurcation of a differential-algebraic bioeconomic model with time delay. Zbl 1264.91094Zhou, Xiaojian; Chen, Xin; Song, Yongzhong 1 2012 Constructing higher-order methods for obtaining the multiple roots of nonlinear equations. Zbl 1219.65048Zhou, Xiaojian; Chen, Xin; Song, Yongzhong 50 2011 Convergence for nonnegative double splittings of matrices. Zbl 1232.65056Song, J.; Song, Y. 13 2011 Two stage waveform relaxation method for the initial value problems of differential-algebraic equations. Zbl 1236.65102Bao, Wendi; Song, Yongzhong 4 2011 Semiconvergence of parallel multisplitting methods for symmetric positive semidefinite linear systems. Zbl 1249.65064Cao, Guangxi; Song, Yongzhong 1 2011 A robust trigonometrically fitted embedded pair for perturbed oscillators. Zbl 1168.65362Fang, Yonglei; Song, Yongzhong; Wu, Xinyuan 20 2009 Preconditioned AOR iterative methods for \(M\)-matrices. Zbl 1175.65043Wang, Li; Song, Yongzhong 18 2009 Preconditioned GAOR methods for solving weighted linear least squares problems. Zbl 1168.65020Zhou, Xiaoxia; Song, Yongzhong; Wang, Li; Liu, Qingsheng 11 2009 A two-step SOR-Newton method for nonsmooth equations. Zbl 1183.65057Zhou, Xiaoxia; Song, Yongzhong; Wang, Li 3 2009 On parallel multisplitting methods for symmetric positive semidefinite linear systems. Zbl 1224.65084Cao, Guangxi; Song, Yongzhong 2 2009 Trigonometrically fitted explicit Numerov-type method for periodic IVPs with two frequencies. Zbl 1197.65085Fang, Yonglei; Song, Yongzhong; Wu, Xinyuan 10 2008 Semiconvergence of P-regular splittings for solving singular linear systems. Zbl 1175.65042Song, Yongzhong; Wang, Li 5 2008 New embedded pairs of explicit Runge-Kutta methods with FSAL properties adapted to the numerical integration of oscillatory problems. Zbl 1225.65072Fang, Yonglei; Song, Yongzhong; Wu, Xinyuan 4 2008 AOR iterative methods for rank deficient least squares problems. Zbl 1156.65028Huang, Yanli; Song, Yongzhong 2 2008 On the optimization of extrapolation methods for singular linear systems. Zbl 1174.65012Wang, Li; Song, Yongzhong 1 2008 Differential transform method applied to high index differential-algebraic equations. Zbl 1115.65089Liu, Hong; Song, Yongzhong 23 2007 Preconditioned AOR iterative method for linear systems. Zbl 1127.65020Wu, Meijun; Wang, Li; Song, Yongzhong 20 2007 Semiconvergence of block AOR method for singular \(p\)-cyclic matrices. Zbl 1125.65027Huang, Yanli; Song, Yongzhong 1 2007 On multi-symplectic partitioned Runge-Kutta methods for Hamiltonian wave equations. Zbl 1100.65116Li, Qinghong; Song, Yongzhong; Wang, Yushun 5 2006 Explicit one-step \(P\)-stable methods for second order periodic initial value problems. Zbl 1132.65066Li, Qinghong; Song, Yongzhong 3 2006 On parallel multisplitting iterative methods for singular linear systems. Zbl 1069.65029Song, Yongzhong 4 2005 On cyclic covers of the Riemann sphere and a related class of curves. Zbl 1086.81074Kallel, S.; Sjerve, D.; Song, Y. 1 2004 Modified AOR methods for linear complementarity problem. Zbl 1030.65065Yuan, Dongjin; Song, Yongzhong 18 2003 On the semiconvergence of extrapolated iterative methods for singular linear systems. Zbl 1027.65040Song, Yongzhong; Wang, Li 5 2003 Stability of numerical methods for solving linear index-3 DAEs. Zbl 1023.65082Liu, Hong; Song, Yongzhong 1 2003 Comparison theorems for splittings of matrices. Zbl 1012.65028Song, Yongzhong 25 2002 Some new results for the semidefinite linear complementarity problem. Zbl 1028.90071Gowda, M. Seetharama; Song, Y. 21 2002 A note on the variation of the spectrum of an arbitrary matrix. Zbl 0995.15014Song, Yongzhong 7 2002 Splitting based on the outer inverse of matrices. Zbl 1034.65024Chen, Xin; Wang, Wei; Song, Yongzhong 4 2002 Monotone convergence of iterative methods for singular linear systems. Zbl 1028.65024Song, Yongzhong 1 2002 Regularization methods for solving differential-algebraic equations. Zbl 1026.65063Wang, Haiyan; Song, Yongzhong 7 2001 Solvability of higher index time-varying linear differential-algebraic equations. Zbl 0992.65087Song, Yongzhong 5 2001 Semiconvergence of block SOR method for singular linear systems with \(p\)-cyclic matrices. Zbl 1010.65016Song, Yongzhong 4 2001 Comparisons of block iterative methods. Zbl 0993.65039Song, Yongzhong 1 2001 On an inequality for the Hadamard product of an \(M\)-matrix and its inverse. Zbl 0946.15014Song, Yongzhong 13 2000 Semiconvergence of nonnegative splittings for singular matrices. Zbl 0947.65035Song, Yongzhong 11 2000 Semiconvergence of extrapolated iterative methods for singular linear systems. Zbl 0930.65033Song, Yongzhong 8 1999 A note on an error bound for the AOR method. Zbl 0961.65030Song, Yongzhong 3 1999 Comparisons for nonnegative splittings of bounded linear operators. Zbl 1013.65048Song, Yongzhong 1 1999 Iterative SOR-type methods for solving least squares problems. (Méthodes itératives de type SOR pour résoudre les problèmes des moindres carres.) Zbl 0902.65014Song, Yongzhong; Goro, Oumarou 1 1998 On the convergence of the MAOR method. Zbl 0882.65017Song, Yongzhong 15 1997 On the convergence of the generalized AOR method. Zbl 0872.65028Song, Yongzhong 14 1997 Applications of front tracking to the simulation of resin transfer molding. Zbl 0890.76084Song, Y.; Chui, W.; Glimm, J.; Lindquist, B.; Tangerman, F. 1 1997 \(P\)-cyclic matrices and block accelerated overrelaxation method. Zbl 0933.65044Song, Yongzhong 1 1997 Stability and vibration of a rotating circular plate subjected to stationary in-plane edge loads. Zbl 0883.73036Shen, I. Y.; Song, Y. 2 1996 Waveform relaxation methods and accuracy increase. Zbl 0838.34012Song, Yongzhong 2 1995 Convergence of parallel multisplitting methods for \(H\)-matrices. Zbl 0824.65018Song, Yongzhong 10 1994 Some comparison theorems for nonnegative splittings of matrices. Zbl 0803.65035Song, Yongzhong 6 1993 Crack bridging models for fiber composites with slip-dependent interfaces. Zbl 0806.73047Bao, G.; Song, Y. 3 1993 Waveform relaxation methods for initial value problems. Zbl 0790.65056Song, Yongzhong 3 1993 Convergence and comparisons of waveform relaxation methods for initial value problems of linear ODE systems. Zbl 0787.65038Song, Y. 1 1993 Convergence criteria for the generalized AOR method. (Konvergenzkriterien für das verallgemeinerte AOR-Verfahren.) Zbl 0767.65023Song, Y. 3 1992 A comparison of spatial grids for numerical modelling of flows in near- coastal seas. Zbl 0741.76048Lardner, R. W.; Song, Y. 1 1992 Lower bounds for the Perron root of a nonnegative matrix. Zbl 0759.15012Song, Yongzhong 1 1992 Comparisons of nonnegative splittings of matrices. Zbl 0732.65024Song, Yongzhong 30 1991 An algorithm for three-dimensional convection and diffusion with very different horizontal and vertical length scales. Zbl 0756.76045Lardner, R. W.; Song, Y. 2 1991 The monotone convergence of splitting of matrices. Zbl 0698.65020Song, Yongzhong 5 1989 On the convergence of GAOR methods. Zbl 0997.65524Song, Yongzhong 5 1989 The convergence of the AOR iterative method, SOR iterative method and JOR iterative method. Zbl 0623.65036Song, Yongzhong 2 1987 Convergence of the AOR iterative method. Zbl 0603.65018Song, Yongzhong 4 1986 Extensions of the Ostrowski-Reich theorem in AOR iterations. Zbl 0603.65017Song, Yongzhong 7 1985 all cited Publications top 5 cited Publications all top 5 Cited by 580 Authors 31 Song, Yongzhong 11 Jator, Samuel N. 11 Wang, Yushun 10 Behl, Ramandeep 10 Cordero, Alicia 10 Kim, Young Ik 10 Torregrosa Sanchez, Juan Ramón 9 Mishra, Debasisha 9 Wang, Li 8 Cai, Wenjun 8 Fu, Yayun 8 Geum, Young Hee 8 Huang, Ting-Zhu 8 Neta, Beny 7 Fang, Yonglei 7 Hu, Dongdong 6 Huang, Zhengge 6 Khojasteh Salkuyeh, Davod 6 Li, Yaotang 6 Solov’ëv, Sergeĭ Ivanovich 6 Zafar, Fiza 5 Bai, Zhongzhi 5 Cui, Jingjing 5 Dehghan Takht Fooladi, Mehdi 5 Erturk, Vedat Suat 5 Hadjidimos, Apostolos 5 Hajarian, Masoud 5 Kumar Giri, Chinmay 5 Sharma, Janak Raj 5 Xu, Zhuangzhi 5 You, Xiong 5 Zhang, Litao 5 Zhang, Naimin 5 Zhou, Xiaojian 4 Abdulganiy, Ridwanulahi Iyanda 4 Cao, Guangxi 4 Chen, Guoliang 4 Climent, Joan-Josep 4 Edalatpanah, Seyyed Ahmad 4 Franco, J. Méndez 4 Gu, Tongxiang 4 Li, Cuixia 4 Liu, Qingbing 4 Momani, Shaher M. 4 Odibat, Zaid M. 4 Okunuga, Solomon A. 4 Perea, Carmen 4 Solov’ev, Pavel S. 4 Tian, Zhaolu 4 Wang, Junjun 4 Wu, Xinyuan 3 Alshomrani, Ali Saleh 3 Bayram, Mustafa 3 Bo, Yonghui 3 Ćebić, Dejan 3 Chen, Fubin 3 Chen, Xin 3 Dai, Pingfan 3 Hao, Binbin 3 Junjua, Moin-ud-Din 3 Kanwar, Vinay 3 Korosteleva, Diana M. 3 Li, Kai 3 Li, Meng 3 Li, Qinghong 3 Liu, Futi 3 Liu, Hong 3 Martínez, Eulalia 3 Miao, Shu-Xin 3 Ming, Qinghe 3 Najafi, H. Saberi 3 Ngwane, Fidele F. 3 Petković, Ljiljana D. 3 Petković, Miodrag S. 3 Ralević, Nebojša M. Ralević 3 Rández, Luis 3 Shekhar, Vaibhav 3 Shen, Shuqian 3 Tan, Xueyuan 3 Tzoumas, Michael G. 3 Wang, Bin 3 Wang, Guangbin 3 Wang, Xiang 3 Wang, Xinmin 3 Wei, Yimin 3 Wu, Shiliang 3 Xu, Zhong 3 Yin, Junfeng 3 Zhao, Jianxing 3 Zheng, Bing 3 Zhu, Jianguang 2 Akinfenwa, Olusheye Aremu Akin 2 Amat, Sergio P. 2 Argyros, Ioannis Konstantinos 2 Bai, Jianchao 2 Baliarsingh, Alekha Kumar 2 Bao, Wendi 2 Beik, Fatemeh Panjeh Ali 2 Cevallos, Fabricio 2 Chen, Yonglin ...and 480 more Authors all top 5 Cited in 108 Serials 55 Applied Mathematics and Computation 39 Journal of Computational and Applied Mathematics 21 Computers & Mathematics with Applications 18 Numerical Algorithms 18 Linear Algebra and its Applications 15 International Journal of Computer Mathematics 15 Mathematical Problems in Engineering 11 Applied Numerical Mathematics 10 Applied Mathematical Modelling 10 Computational and Applied Mathematics 9 Calcolo 8 Journal of Applied Mathematics 6 Mathematics and Computers in Simulation 6 Abstract and Applied Analysis 5 Journal of Computational Physics 5 Discrete Dynamics in Nature and Society 5 Lobachevskii Journal of Mathematics 5 Journal of Applied Mathematics and Computing 5 Afrika Matematika 4 Linear and Multilinear Algebra 4 Journal of Optimization Theory and Applications 4 Numerische Mathematik 4 Numerical Linear Algebra with Applications 4 Filomat 3 Results in Mathematics 3 Journal of Scientific Computing 3 Journal of Mathematical Chemistry 3 Journal of Inequalities and Applications 3 Communications in Nonlinear Science and Numerical Simulation 3 Mediterranean Journal of Mathematics 3 Journal of Mathematics 2 Computer Physics Communications 2 Journal of Mathematical Analysis and Applications 2 Computing 2 Applied Mathematics and Mechanics. (English Edition) 2 Bulletin of the Iranian Mathematical Society 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Applied Mathematics. Series B (English Edition) 2 Journal of the Egyptian Mathematical Society 2 Discrete and Continuous Dynamical Systems. Series B 2 International Journal of Computational Methods 2 Advances in Difference Equations 2 Mathematical Biosciences and Engineering 2 Communications in Computational Physics 2 International Journal of Differential Equations 2 International Journal for Numerical Methods in Biomedical Engineering 2 Symmetry 2 International Journal of Applied and Computational Mathematics 2 Open Mathematics 1 Communications in Mathematical Physics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Physics 1 Chaos, Solitons and Fractals 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 BIT 1 Demonstratio Mathematica 1 Journal of the Korean Mathematical Society 1 Kybernetes 1 Meccanica 1 Optimal Control Applications & Methods 1 Operations Research Letters 1 Circuits, Systems, and Signal Processing 1 Journal of the Nigerian Mathematical Society 1 The Journal of Geometric Analysis 1 Applications of Mathematics 1 Journal of Mathematical Imaging and Vision 1 The Journal of Analysis 1 Georgian Mathematical Journal 1 Complexity 1 Nonlinear Dynamics 1 Vietnam Journal of Mathematics 1 Soft Computing 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Communications of the Korean Mathematical Society 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 The ANZIAM Journal 1 Nonlinear Analysis. Modelling and Control 1 Mathematical Modelling and Analysis 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Natural Computing 1 Journal of Numerical Mathematics 1 Applications and Applied Mathematics 1 Mathematics in Computer Science 1 Optimization Letters 1 Inverse Problems and Imaging 1 Applicable Analysis and Discrete Mathematics 1 European Journal of Pure and Applied Mathematics 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Numerical Analysis 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Numerical Algebra, Control and Optimization 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Applied Analysis and Computation 1 Axioms 1 Journal of Applied Nonlinear Dynamics 1 East Asian Journal on Applied Mathematics ...and 8 more Serials all top 5 Cited in 30 Fields 344 Numerical analysis (65-XX) 47 Partial differential equations (35-XX) 45 Ordinary differential equations (34-XX) 41 Linear and multilinear algebra; matrix theory (15-XX) 21 Operations research, mathematical programming (90-XX) 15 Biology and other natural sciences (92-XX) 15 Information and communication theory, circuits (94-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Fluid mechanics (76-XX) 9 Computer science (68-XX) 7 Real functions (26-XX) 7 Approximations and expansions (41-XX) 6 Operator theory (47-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Optics, electromagnetic theory (78-XX) 5 Probability theory and stochastic processes (60-XX) 5 Mechanics of particles and systems (70-XX) 3 Difference and functional equations (39-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Quantum theory (81-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year