Edit Profile Wu, Xiaonan Compute Distance To: Compute Author ID: wu.xiaonan Published as: Wu, X.; Wu, X. N.; Wu, Xiao-Nan; Wu, Xiao-nan; Wu, Xiaonan Documents Indexed: 98 Publications since 1985, including 4 Books all top 5 Co-Authors 1 single-authored 16 Han, Houde 9 Zhang, Jiwei 8 Sun, Zhizhong 6 Xue, Weimin 6 Zhu, Zuonong 5 Jin, Jicheng 4 Xu, Zhenli 4 Zhu, Youlan 3 Li, Hongwei 3 Nicolaides, Roy A. 3 Wang, Desheng 2 Brunner, Hermann 2 Chern, I-Liang 2 Du, Qiang 2 Golub, Gene Howard 2 Gu, Haiming 2 Yuan, Jin Yun 2 Zhu, Zuomin 1 Cheung, Charissa Chui-Yee 1 Cuminato, José Alberto 1 Ding, Qing 1 He, Changhong 1 Huang, Hongci 1 Li, Can 1 Li, Zhiping 1 Miao, Junjie 1 Shafer, Douglas S. 1 Zegeling, André 1 Zhang, Wei 1 Zhao, Haiqiong 1 Zhu, Zuoming all top 5 Serials 6 SIAM Journal on Numerical Analysis 5 Journal of Computational Mathematics 3 Computer Methods in Applied Mechanics and Engineering 3 Physics Letters. A 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Applied Numerical Mathematics 3 Communications in Computational Physics 2 Computers & Mathematics with Applications 2 Journal of Computational Physics 2 Mathematics of Computation 2 BIT 2 Numerical Methods for Partial Differential Equations 2 Springer Finance 1 Computers and Fluids 1 Computer Physics Communications 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Nonlinearity 1 International Journal for Numerical Methods in Engineering 1 Numerische Mathematik 1 Numerical Mathematics 1 Journal of Systems Science and Mathematical Sciences 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Study 1 Journal of the Physical Society of Japan 1 Science China. Mathematics 1 East Asian Journal on Applied Mathematics all top 5 Fields 42 Numerical analysis (65-XX) 35 Partial differential equations (35-XX) 9 Fluid mechanics (76-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Mechanics of deformable solids (74-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 74 Publications have been cited 1,239 times in 1,031 Documents Cited by ▼ Year ▼ A fully discrete difference scheme for a diffusion-wave system. Zbl 1094.65083Sun, Zhi-Zhong; Wu, Xiaonan 364 2006 SOR-like methods for augmented systems. Zbl 0991.65036Golub, Gene H.; Wu, X.; Yuan, Jin-Yun 138 2001 Approximation of infinite boundary condition and its application to finite element methods. Zbl 0579.65111Han, Houde; Wu, Xiaonan 52 1985 Conjugate gradient method for rank deficient saddle point problems. Zbl 1054.65032Wu, X.; Silva, B. P. B.; Yuan, J. Y. 41 2004 A fast numerical method for the Black-Scholes equation of American options. Zbl 1130.91336Han, Houde; Wu, Xiaonan 39 2003 A new mixed finite element formulation and the MAC method for the Stokes equations. Zbl 0918.76036Han, Houde; Wu, Xiaonan 37 1998 The approximation of the exact boundary conditions at an artificial boundary for linear elastic equations and its application. Zbl 0754.35008Han, Houde; Wu, Xiaonan 35 1992 Covolume solutions of three-dimensional div-curl equations. Zbl 0889.35006Nicolaides, Roy A.; Wu, Xiaonan 33 1997 Analysis and convergence of the MAC scheme. II: Navier-Stokes equations. Zbl 0852.76066Nicolaides, R. A.; Wu, X. 26 1996 Artificial boundary method. Zbl 1277.65105Han, Houde; Wu, Xiaonan 25 2013 Adaptive feedback synchronization of Lü system. Zbl 1060.93524Han, X.; Lu, J.-A.; Wu, X. 25 2004 Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions. Zbl 1053.65074Wu, Xiaonan; Sun, Zhizhong 24 2004 Symmetric-triangular decomposition and its applications. II: Preconditioners for indefinite systems. Zbl 1151.65027Wu, Xiaonan; Golub, Gene H.; Cuminato, José A.; Yuan, Jin Yun 23 2008 The stability and convergence of a difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions. Zbl 1094.65088Sun, Zhi-zhong; Wu, Xiaonan 20 2006 Derivative securities and difference methods. Zbl 1061.91036Zhu, You-lan; Wu, Xiaonan; Chern, I-Liang 20 2004 A finite-element method for Laplace- and Helmholtz-type boundary value problems with singularities. Zbl 0873.65100Wu, Xiaonan; Han, Houde 19 1997 A finite-difference method for the one-dimensional time-dependent Schrödinger equation on unbounded domain. Zbl 1092.65071Han, Houde; Jin, Jicheng; Wu, Xiaonan 15 2005 Numerical and computational efficiency of solvers for two-phase problems. Zbl 1319.76025Axelsson, O.; Boyanova, P.; Kronbichler, M.; Neytcheva, M.; Wu, X. 14 2013 Adaptive absorbing boundary conditions for Schrödinger-type equations: Application to nonlinear and multi-dimensional problems. Zbl 1343.65114Xu, Zhenli; Han, Houde; Wu, Xiaonan 12 2007 Artificial boundary methods for Burgers’ equation using nonlinear boundary conditions. Zbl 1096.65085Han, Houde; Wu, Xiao-nan; Xu, Zhenli 12 2006 New matrix Lax representation for a Blaszak-Marciniak four-field lattice hierarchy and its infinitely many conservation laws. Zbl 1058.37057Zhu, Zuonong; Zhu, Zuoming; Wu, Xiaonan; Xue, Weimin 12 2002 Analysis of finite element method for one-dimensional time-dependent Schrödinger equation on unbounded domain. Zbl 1155.65078Jin, Jicheng; Wu, Xiaonan 11 2008 Numerical method for the deterministic Kardar-Parisi-Zhang equation in unbounded domains. Zbl 1120.65097Xu, Z.; Han, H.; Wu, X. 11 2006 Infinitely many conservation laws for the Blaszak-Marciniak four-field integrable lattice hierarchy. Zbl 0994.37028Zhu, Zuo-nong; Wu, Xiaonan; Xue, Weimin; Zhu, Zuo-min 11 2002 Mean dynamics of transitional boundary-layer flow. Zbl 1241.76282Klewicki, J.; Ebner, R.; Wu, X. 10 2011 Effects of average degree on cooperation in networked evolutionary game. Zbl 1189.91029Tang, C.-L.; Wang, W.-X.; Wu, X.; Wang, B.-H. 10 2006 Analysis and convergence of a covolume approximation of the Ginzburg-Landau model of superconductivity. Zbl 0911.65139Du, Qiang; Nicolaides, R. A.; Wu, Xiaonan 10 1998 Use of neural networks in detection of structural damage. Zbl 0749.92004Wu, X.; Ghaboussi, J.; Garrett, J. H. jun. 10 1992 High-order local absorbing boundary conditions for heat equation in unbounded domains. Zbl 1249.65178Wu, Xiaonan; Zhang, Jiwei 9 2011 Computational solution of blow-up problems for semilinear parabolic PDEs on unbounded domains. Zbl 1208.65124Brunner, Hermann; Wu, Xiaonan; Zhang, Jiwei 9 2010 Analysis of high-order absorbing boundary conditions for the Schrödinger equation. Zbl 1388.65070Zhang, Jiwei; Sun, Zhizhong; Wu, Xiaonan; Wang, Desheng 8 2011 Artificial boundary method for two-dimensional Burgers’ equation. Zbl 1145.65321Wu, Xiaonan; Zhang, Jiwei 8 2008 Homogenized properties of elastic-viscoplastic composites with periodic internal structures. Zbl 0979.74062Ohno, N.; Wu, X.; Matsuda, T. 8 2000 A homogenization theory for time-dependent nonlinear composites with periodic internal structures. Zbl 0973.74007Wu, X.; Ohno, N. 8 1999 Infinitely many conservation laws and integrable discretizations for some lattice soliton equations. Zbl 1039.37067Zhu, Zuo-nong; Xue, Weimin; Wu, Xiaonan; Zhu, Zuo-min 7 2002 Experimental and theoretical study of shock wave propagation through double-bend ducts. Zbl 1085.76520Igra, O.; Wu, X.; Falcovitz, J.; Meguro, T.; Takayama, K.; Heilig, W. 7 2001 Stability of flow in a channel with vibrating walls. Zbl 1185.76127Floryan, J. M.; Szumbarski, J.; Wu, X. 6 2002 Infinitely many conservation laws of two Blaszak-Marciniak three-field lattice hierarchies. Zbl 1068.70021Zhu, Zuonong; Wu, Xiaonan; Xue, Weimin; Ding, Qing 6 2002 Remarks on stability results for the solutions of certain fourth-order autonomous differential equations. Zbl 0934.34039Wu, X.; Xiong, K. 6 1998 Duality-based two-level error estimation for time-dependent PDEs: application to linear and nonlinear parabolic equations. Zbl 1425.65120Şimşek, G.; Wu, X.; van der Zee, K. G.; van Brummelen, E. H. 5 2015 On the continuous limits and integrability of a new coupled semidiscrete mKdV system. Zbl 1316.35258Zhu, Zuo-nong; Zhao, Hai-qiong; Wu, Xiao-nan 5 2011 Internet security applications of the Munn rings. Zbl 1203.94142Kelarev, A. V.; Yearwood, J. L.; Watters, P.; Wu, X.; Abawajy, J. H.; Pan, L. 5 2010 A difference scheme for Burgers equation in an unbounded domain. Zbl 1214.65047Sun, Zhi-Zhong; Wu, Xiao-Nan 5 2009 An iteration method using artificial boundary for some elliptic boundary value problems with singularities. Zbl 0951.65113Wu, Xiaonan; Cheung, Charissa Chui-Yee 5 1999 Local artificial boundary conditions for Schrödinger and heat equations by using high-order azimuth derivatives on circular artificial boundary. Zbl 1348.35087Li, Hongwei; Wu, Xiaonan; Zhang, Jiwei 4 2014 A survey on artificial boundary method. Zbl 1304.35490Han, Houde; Wu, Xiaonan 4 2013 Convergence of a finite element scheme for the two-dimensional time-dependent Schrödinger equation in a long strip. Zbl 1191.65118Jin, Jicheng; Wu, Xiaonan 4 2010 Discrete boundary conditions for problems with interface. Zbl 0991.65120Wu, Xiaonan; Han, Houde 4 2001 A homogenization theory for elastic-viscoplastic composites with point symmetry of internal distributions. Zbl 1049.74750Ohno, N.; Matsuda, T.; Wu, X. 4 2001 Numerical solution of the three-dimensional Ginzburg-Landau models using artificial boundary. Zbl 0935.65119Du, Qiang; Wu, Xiaonan 4 1999 The bi-Hamiltonian structures of some new Lax integrable hierarchies associated with \(3\times 3\) matrix spectral problems. Zbl 1044.37544Zhu, Zuonong; Huang, H. C.; Xue, W. M.; Wu, X. N. 4 1997 Duality properties of a general vertex model. Zbl 0688.05072Wu, X. N.; Wu, F. Y. 4 1989 The mixed finite element method for Stokes equations on unbounded domains. Zbl 0614.76029Han, Houde; Wu, Xiaonan 4 1985 Numerical solution of the time-fractional sub-diffusion equation on an unbounded domain in two-dimensional space. Zbl 1383.65093Li, Hongwei; Wu, Xiaonan; Zhang, Jiwei 3 2017 High-order local artificial boundary conditions for the fractional diffusion equation on one-dimensional unbounded domain. Zbl 1399.65183Zhang, Wei; Li, Can; Wu, Xiaonan; Zhang, Jiwei 3 2017 On stabilization of energy for Hamiltonian systems. Zbl 1196.37095Wu, X.; Zhu, J. F.; He, J. Z.; Zhang, H. 3 2006 Multi-atomic Young measure and artificial boundary in approximation of micromagnetics. Zbl 1061.78015Li, Zhiping; Wu, Xiaonan 3 2004 The singular finite element method for some elliptic boundary value problem with interface. Zbl 1050.65112Jin, Jicheng; Wu, Xiaonan 3 2004 Analysis of artificial boundary conditions for exterior boundary value problems in three dimensions. Zbl 0958.65115Han, Houde; He, Changhong; Wu, Xiaonan 3 2000 Derivative securities and difference methods. 2nd ed. Zbl 1337.91006Zhu, You-lan; Wu, Xiaonan; Chern, I-Liang; Sun, Zhi-zhong 2 2013 A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions. Zbl 1245.65114Sun, Zhi-Zhong; Wu, Xiaonan; Zhang, Jiwei; Wang, Desheng 2 2012 Existence theorems for maximal elements in \(H\)-spaces with applications on the minimax inequalities and equilibrium of games. Zbl 0989.47041Wu, X. 2 2000 Transient response of one-dimensional distributed systems: a closed form eigenfunction expansion realization. Zbl 1235.74202Yang, B.; Wu, X. 2 1997 A posteriori error estimation and adaptivity for nonlinear parabolic equations using IMEX-Galerkin discretization of primal and dual equations. Zbl 1402.65100Wu, X.; van der Zee, K. G.; Simsek, G.; van Brummelen, E. H. 1 2018 Stability analysis for nonlinear Schrödinger equations with nonlinear absorbing boundary conditions. Zbl 1389.35296Zhang, Jiwei; Xu, Zhenli; Wu, Xiaonan; Wang, Desheng 1 2017 Embedding of classes of functions with bounded \(\Phi\)-variation into generalized Lipschitz spaces. Zbl 1389.26018Wu, X. 1 2016 Optimal dividends under reinsurance. Zbl 1333.91018Beveridge, C. J.; Dickson, D. C. M.; Wu, X. 1 2008 Convergence of a difference scheme for the heat equation in a long strip by artificial boundary conditions. Zbl 1133.65070Han, Houde; Sun, Zhi-Zhong; Wu, Xiao-Nan 1 2008 Alternating-direction iterative technique for mixed finite element methods for Stokes equations. Zbl 1063.65124Gu, Haiming; Wu, Xiaonan 1 2005 Discrete boundary conditions for elasticity problems with singularities. Zbl 1054.74007Wu, Xiaonan; Xue, Weimin 1 2003 On minimax inequality and generalized quasi-variational inequality in \(H\)-spaces. Zbl 0935.58011Wu, X.; Zhang, Z. 1 1999 New existence theorems for solutions of generalized quasi-variational inequalities. Zbl 0916.47051Wu, X. 1 1998 An optimal design problem for a two-dimensional flow in a duct. Zbl 0878.76063Wu, X.; Cliff, E. M.; Gunzburger, M. D. 1 1996 A numerical approach to bifurcations from quadratic centers. Zbl 0860.65061Shafer, Douglas S.; Wu, Xiaonan; Zegeling, André 1 1996 A posteriori error estimation and adaptivity for nonlinear parabolic equations using IMEX-Galerkin discretization of primal and dual equations. Zbl 1402.65100Wu, X.; van der Zee, K. G.; Simsek, G.; van Brummelen, E. H. 1 2018 Numerical solution of the time-fractional sub-diffusion equation on an unbounded domain in two-dimensional space. Zbl 1383.65093Li, Hongwei; Wu, Xiaonan; Zhang, Jiwei 3 2017 High-order local artificial boundary conditions for the fractional diffusion equation on one-dimensional unbounded domain. Zbl 1399.65183Zhang, Wei; Li, Can; Wu, Xiaonan; Zhang, Jiwei 3 2017 Stability analysis for nonlinear Schrödinger equations with nonlinear absorbing boundary conditions. Zbl 1389.35296Zhang, Jiwei; Xu, Zhenli; Wu, Xiaonan; Wang, Desheng 1 2017 Embedding of classes of functions with bounded \(\Phi\)-variation into generalized Lipschitz spaces. Zbl 1389.26018Wu, X. 1 2016 Duality-based two-level error estimation for time-dependent PDEs: application to linear and nonlinear parabolic equations. Zbl 1425.65120Şimşek, G.; Wu, X.; van der Zee, K. G.; van Brummelen, E. H. 5 2015 Local artificial boundary conditions for Schrödinger and heat equations by using high-order azimuth derivatives on circular artificial boundary. Zbl 1348.35087Li, Hongwei; Wu, Xiaonan; Zhang, Jiwei 4 2014 Artificial boundary method. Zbl 1277.65105Han, Houde; Wu, Xiaonan 25 2013 Numerical and computational efficiency of solvers for two-phase problems. Zbl 1319.76025Axelsson, O.; Boyanova, P.; Kronbichler, M.; Neytcheva, M.; Wu, X. 14 2013 A survey on artificial boundary method. Zbl 1304.35490Han, Houde; Wu, Xiaonan 4 2013 Derivative securities and difference methods. 2nd ed. Zbl 1337.91006Zhu, You-lan; Wu, Xiaonan; Chern, I-Liang; Sun, Zhi-zhong 2 2013 A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions. Zbl 1245.65114Sun, Zhi-Zhong; Wu, Xiaonan; Zhang, Jiwei; Wang, Desheng 2 2012 Mean dynamics of transitional boundary-layer flow. Zbl 1241.76282Klewicki, J.; Ebner, R.; Wu, X. 10 2011 High-order local absorbing boundary conditions for heat equation in unbounded domains. Zbl 1249.65178Wu, Xiaonan; Zhang, Jiwei 9 2011 Analysis of high-order absorbing boundary conditions for the Schrödinger equation. Zbl 1388.65070Zhang, Jiwei; Sun, Zhizhong; Wu, Xiaonan; Wang, Desheng 8 2011 On the continuous limits and integrability of a new coupled semidiscrete mKdV system. Zbl 1316.35258Zhu, Zuo-nong; Zhao, Hai-qiong; Wu, Xiao-nan 5 2011 Computational solution of blow-up problems for semilinear parabolic PDEs on unbounded domains. Zbl 1208.65124Brunner, Hermann; Wu, Xiaonan; Zhang, Jiwei 9 2010 Internet security applications of the Munn rings. Zbl 1203.94142Kelarev, A. V.; Yearwood, J. L.; Watters, P.; Wu, X.; Abawajy, J. H.; Pan, L. 5 2010 Convergence of a finite element scheme for the two-dimensional time-dependent Schrödinger equation in a long strip. Zbl 1191.65118Jin, Jicheng; Wu, Xiaonan 4 2010 A difference scheme for Burgers equation in an unbounded domain. Zbl 1214.65047Sun, Zhi-Zhong; Wu, Xiao-Nan 5 2009 Symmetric-triangular decomposition and its applications. II: Preconditioners for indefinite systems. Zbl 1151.65027Wu, Xiaonan; Golub, Gene H.; Cuminato, José A.; Yuan, Jin Yun 23 2008 Analysis of finite element method for one-dimensional time-dependent Schrödinger equation on unbounded domain. Zbl 1155.65078Jin, Jicheng; Wu, Xiaonan 11 2008 Artificial boundary method for two-dimensional Burgers’ equation. Zbl 1145.65321Wu, Xiaonan; Zhang, Jiwei 8 2008 Optimal dividends under reinsurance. Zbl 1333.91018Beveridge, C. J.; Dickson, D. C. M.; Wu, X. 1 2008 Convergence of a difference scheme for the heat equation in a long strip by artificial boundary conditions. Zbl 1133.65070Han, Houde; Sun, Zhi-Zhong; Wu, Xiao-Nan 1 2008 Adaptive absorbing boundary conditions for Schrödinger-type equations: Application to nonlinear and multi-dimensional problems. Zbl 1343.65114Xu, Zhenli; Han, Houde; Wu, Xiaonan 12 2007 A fully discrete difference scheme for a diffusion-wave system. Zbl 1094.65083Sun, Zhi-Zhong; Wu, Xiaonan 364 2006 The stability and convergence of a difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions. Zbl 1094.65088Sun, Zhi-zhong; Wu, Xiaonan 20 2006 Artificial boundary methods for Burgers’ equation using nonlinear boundary conditions. Zbl 1096.65085Han, Houde; Wu, Xiao-nan; Xu, Zhenli 12 2006 Numerical method for the deterministic Kardar-Parisi-Zhang equation in unbounded domains. Zbl 1120.65097Xu, Z.; Han, H.; Wu, X. 11 2006 Effects of average degree on cooperation in networked evolutionary game. Zbl 1189.91029Tang, C.-L.; Wang, W.-X.; Wu, X.; Wang, B.-H. 10 2006 On stabilization of energy for Hamiltonian systems. Zbl 1196.37095Wu, X.; Zhu, J. F.; He, J. Z.; Zhang, H. 3 2006 A finite-difference method for the one-dimensional time-dependent Schrödinger equation on unbounded domain. Zbl 1092.65071Han, Houde; Jin, Jicheng; Wu, Xiaonan 15 2005 Alternating-direction iterative technique for mixed finite element methods for Stokes equations. Zbl 1063.65124Gu, Haiming; Wu, Xiaonan 1 2005 Conjugate gradient method for rank deficient saddle point problems. Zbl 1054.65032Wu, X.; Silva, B. P. B.; Yuan, J. Y. 41 2004 Adaptive feedback synchronization of Lü system. Zbl 1060.93524Han, X.; Lu, J.-A.; Wu, X. 25 2004 Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions. Zbl 1053.65074Wu, Xiaonan; Sun, Zhizhong 24 2004 Derivative securities and difference methods. Zbl 1061.91036Zhu, You-lan; Wu, Xiaonan; Chern, I-Liang 20 2004 Multi-atomic Young measure and artificial boundary in approximation of micromagnetics. Zbl 1061.78015Li, Zhiping; Wu, Xiaonan 3 2004 The singular finite element method for some elliptic boundary value problem with interface. Zbl 1050.65112Jin, Jicheng; Wu, Xiaonan 3 2004 A fast numerical method for the Black-Scholes equation of American options. Zbl 1130.91336Han, Houde; Wu, Xiaonan 39 2003 Discrete boundary conditions for elasticity problems with singularities. Zbl 1054.74007Wu, Xiaonan; Xue, Weimin 1 2003 New matrix Lax representation for a Blaszak-Marciniak four-field lattice hierarchy and its infinitely many conservation laws. Zbl 1058.37057Zhu, Zuonong; Zhu, Zuoming; Wu, Xiaonan; Xue, Weimin 12 2002 Infinitely many conservation laws for the Blaszak-Marciniak four-field integrable lattice hierarchy. Zbl 0994.37028Zhu, Zuo-nong; Wu, Xiaonan; Xue, Weimin; Zhu, Zuo-min 11 2002 Infinitely many conservation laws and integrable discretizations for some lattice soliton equations. Zbl 1039.37067Zhu, Zuo-nong; Xue, Weimin; Wu, Xiaonan; Zhu, Zuo-min 7 2002 Stability of flow in a channel with vibrating walls. Zbl 1185.76127Floryan, J. M.; Szumbarski, J.; Wu, X. 6 2002 Infinitely many conservation laws of two Blaszak-Marciniak three-field lattice hierarchies. Zbl 1068.70021Zhu, Zuonong; Wu, Xiaonan; Xue, Weimin; Ding, Qing 6 2002 SOR-like methods for augmented systems. Zbl 0991.65036Golub, Gene H.; Wu, X.; Yuan, Jin-Yun 138 2001 Experimental and theoretical study of shock wave propagation through double-bend ducts. Zbl 1085.76520Igra, O.; Wu, X.; Falcovitz, J.; Meguro, T.; Takayama, K.; Heilig, W. 7 2001 Discrete boundary conditions for problems with interface. Zbl 0991.65120Wu, Xiaonan; Han, Houde 4 2001 A homogenization theory for elastic-viscoplastic composites with point symmetry of internal distributions. Zbl 1049.74750Ohno, N.; Matsuda, T.; Wu, X. 4 2001 Homogenized properties of elastic-viscoplastic composites with periodic internal structures. Zbl 0979.74062Ohno, N.; Wu, X.; Matsuda, T. 8 2000 Analysis of artificial boundary conditions for exterior boundary value problems in three dimensions. Zbl 0958.65115Han, Houde; He, Changhong; Wu, Xiaonan 3 2000 Existence theorems for maximal elements in \(H\)-spaces with applications on the minimax inequalities and equilibrium of games. Zbl 0989.47041Wu, X. 2 2000 A homogenization theory for time-dependent nonlinear composites with periodic internal structures. Zbl 0973.74007Wu, X.; Ohno, N. 8 1999 An iteration method using artificial boundary for some elliptic boundary value problems with singularities. Zbl 0951.65113Wu, Xiaonan; Cheung, Charissa Chui-Yee 5 1999 Numerical solution of the three-dimensional Ginzburg-Landau models using artificial boundary. Zbl 0935.65119Du, Qiang; Wu, Xiaonan 4 1999 On minimax inequality and generalized quasi-variational inequality in \(H\)-spaces. Zbl 0935.58011Wu, X.; Zhang, Z. 1 1999 A new mixed finite element formulation and the MAC method for the Stokes equations. Zbl 0918.76036Han, Houde; Wu, Xiaonan 37 1998 Analysis and convergence of a covolume approximation of the Ginzburg-Landau model of superconductivity. Zbl 0911.65139Du, Qiang; Nicolaides, R. A.; Wu, Xiaonan 10 1998 Remarks on stability results for the solutions of certain fourth-order autonomous differential equations. Zbl 0934.34039Wu, X.; Xiong, K. 6 1998 New existence theorems for solutions of generalized quasi-variational inequalities. Zbl 0916.47051Wu, X. 1 1998 Covolume solutions of three-dimensional div-curl equations. Zbl 0889.35006Nicolaides, Roy A.; Wu, Xiaonan 33 1997 A finite-element method for Laplace- and Helmholtz-type boundary value problems with singularities. Zbl 0873.65100Wu, Xiaonan; Han, Houde 19 1997 The bi-Hamiltonian structures of some new Lax integrable hierarchies associated with \(3\times 3\) matrix spectral problems. Zbl 1044.37544Zhu, Zuonong; Huang, H. C.; Xue, W. M.; Wu, X. N. 4 1997 Transient response of one-dimensional distributed systems: a closed form eigenfunction expansion realization. Zbl 1235.74202Yang, B.; Wu, X. 2 1997 Analysis and convergence of the MAC scheme. II: Navier-Stokes equations. Zbl 0852.76066Nicolaides, R. A.; Wu, X. 26 1996 An optimal design problem for a two-dimensional flow in a duct. Zbl 0878.76063Wu, X.; Cliff, E. M.; Gunzburger, M. D. 1 1996 A numerical approach to bifurcations from quadratic centers. Zbl 0860.65061Shafer, Douglas S.; Wu, Xiaonan; Zegeling, André 1 1996 The approximation of the exact boundary conditions at an artificial boundary for linear elastic equations and its application. Zbl 0754.35008Han, Houde; Wu, Xiaonan 35 1992 Use of neural networks in detection of structural damage. Zbl 0749.92004Wu, X.; Ghaboussi, J.; Garrett, J. H. jun. 10 1992 Duality properties of a general vertex model. Zbl 0688.05072Wu, X. N.; Wu, F. Y. 4 1989 Approximation of infinite boundary condition and its application to finite element methods. Zbl 0579.65111Han, Houde; Wu, Xiaonan 52 1985 The mixed finite element method for Stokes equations on unbounded domains. Zbl 0614.76029Han, Houde; Wu, Xiaonan 4 1985 all cited Publications top 5 cited Publications all top 5 Cited by 1,407 Authors 38 Sun, Zhizhong 24 Han, Houde 23 Dehghan Takht Fooladi, Mehdi 23 Zhang, Jiwei 22 Abbaszadeh, Mostafa 21 Wu, Xiaonan 18 Liu, Fawang 17 Ma, Changfeng 17 Xu, Da 16 Zhang, Guofeng 15 Rui, Hongxing 14 Wang, Zhibo 14 Wu, Yujiang 13 Cao, Yang 13 Gao, Guanghua 13 Vong, Seakweng 13 Zheng, Chunxiong 11 Karniadakis, George Em 11 Li, Xiaoli 11 Liang, Zhao-Zheng 11 Tang, Yifa 11 Turner, Ian William 11 Wang, Yuanming 11 Yang, Aili 11 Zhou, Zhi 10 Cui, Jingjing 10 Huang, Zhengge 10 Mohebbi, Akbar 10 Nicholls, David P. 10 Wang, Ligong 10 Xu, Zhong 9 Jin, Bangti 9 Ren, Jincheng 9 Zhang, Naimin 8 Bao, Weizhu 8 Brunner, Hermann 8 Fan, Hongtao 8 Li, Changjun 8 Liao, HongLin 8 Lu, Shujuan 8 Yan, Yubin 7 Deng, Weihua 7 Du, Qiang 7 Feng, Libo 7 Gatica, Gabriel N. 7 Li, Dongfang 7 Miao, Shu-Xin 7 Shao, Xinhui 7 Yang, Hongxiang 7 Yang, Xuehua 7 Zeng, Fanhai 6 Chen, Hu 6 Hu, Xiuling 6 Huang, Jianfei 6 Huang, Ting-Zhu 6 Huang, Zhongyi 6 Ji, Cuicui 6 Jiang, Xiaoyun 6 Li, Buyang 6 Neytcheva, Maya G. 6 Tangman, Désiré Yannick 6 Valkov, Radoslav L. 6 Wu, Shiliang 6 Zayernouri, Mohsen 6 Zhang, Haixiang 6 Zhao, Yanmin 6 Zheng, Bing 6 Zheng, Qingqing 6 Zhu, Xinyun 5 Anh, Vo V. 5 Axelsson, Axel Owe Holger 5 Bai, Zhongzhi 5 Bhuruth, Muddun 5 Cao, Wanrong 5 Chao, Zhen 5 Chen, Minghua 5 Dou, Yan 5 Ford, Neville J. 5 Hao, Zhaopeng 5 Herbin, Raphaèle 5 Huang, Na 5 Jiang, Meiqun 5 Jin, Jicheng 5 Jovanović, Boško S. 5 Klewicki, Joseph C. 5 Li, Changpin 5 Li, Cuixia 5 Li, Zheng 5 Ohno, Nobutada 5 Park, Juhyun (Jessie) 5 Shi, Dongyang 5 Wang, Hong 5 Wang, Jilu 5 Xu, Xixiang 5 Zhang, Luming 5 Zhang, Zhimin 5 Zhao, Haiqiong 4 Alikhanov, Anatoly A. 4 Ashyralyev, Allaberen 4 Bradji, Abdallah ...and 1,307 more Authors all top 5 Cited in 164 Serials 104 Applied Mathematics and Computation 77 Journal of Computational and Applied Mathematics 76 Computers & Mathematics with Applications 70 Journal of Computational Physics 56 Numerical Algorithms 55 Journal of Scientific Computing 44 Applied Numerical Mathematics 34 Computer Methods in Applied Mechanics and Engineering 24 International Journal of Computer Mathematics 23 Computational and Applied Mathematics 21 Applied Mathematics Letters 18 SIAM Journal on Numerical Analysis 18 Applied Mathematical Modelling 18 SIAM Journal on Scientific Computing 16 Numerical Methods for Partial Differential Equations 13 Journal of Fluid Mechanics 13 Mathematics of Computation 13 Chaos, Solitons and Fractals 13 Numerische Mathematik 13 Engineering Analysis with Boundary Elements 12 East Asian Journal on Applied Mathematics 10 Communications in Nonlinear Science and Numerical Simulation 8 BIT 8 Fractional Calculus & Applied Analysis 8 Advances in Difference Equations 7 Calcolo 7 Computational Methods in Applied Mathematics 5 Applicable Analysis 5 Journal of Mathematical Analysis and Applications 5 Nonlinear Dynamics 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Communications on Applied Mathematics and Computation 4 International Journal of Plasticity 4 Journal of Mathematical Physics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Japan Journal of Industrial and Applied Mathematics 4 Linear Algebra and its Applications 4 Physics of Fluids 4 Numerical Linear Algebra with Applications 4 Mathematical Problems in Engineering 4 Abstract and Applied Analysis 4 Discrete Dynamics in Nature and Society 4 Journal of Applied Mathematics and Computing 4 Science China. Mathematics 3 Modern Physics Letters B 3 Computers and Fluids 3 International Journal of Solids and Structures 3 Computing 3 International Journal for Numerical Methods in Engineering 3 Numerical Functional Analysis and Optimization 3 Taiwanese Journal of Mathematics 3 Chaos 3 Engineering Computations 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Journal of Nonlinear Mathematical Physics 3 Frontiers of Mathematics in China 2 Computer Physics Communications 2 International Journal for Numerical Methods in Fluids 2 Journal of the Mechanics and Physics of Solids 2 Journal of Statistical Physics 2 Mathematical Methods in the Applied Sciences 2 Physica A 2 Physics Letters. A 2 Semigroup Forum 2 Applied Mathematics and Mechanics. (English Edition) 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Physica D 2 European Journal of Operational Research 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Advances in Computational Mathematics 2 Journal of Shanghai University 2 International Journal of Theoretical and Applied Finance 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 International Journal of Modern Physics C 2 Foundations of Computational Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Boundary Value Problems 2 The European Physical Journal B. Condensed Matter and Complex Systems 2 Advances in Mathematical Physics 2 Symmetry 2 Journal of Function Spaces 2 International Journal of Applied and Computational Mathematics 1 International Journal of Modern Physics B 1 Acta Mechanica 1 General Relativity and Gravitation 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 International Journal of Theoretical Physics 1 Journal of the Franklin Institute 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Shock Waves 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Mathematics and Computers in Simulation 1 Meccanica 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Complexity ...and 64 more Serials all top 5 Cited in 47 Fields 807 Numerical analysis (65-XX) 485 Partial differential equations (35-XX) 130 Fluid mechanics (76-XX) 76 Real functions (26-XX) 69 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 63 Ordinary differential equations (34-XX) 54 Dynamical systems and ergodic theory (37-XX) 54 Mechanics of deformable solids (74-XX) 40 Integral equations (45-XX) 31 Optics, electromagnetic theory (78-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 28 Statistical mechanics, structure of matter (82-XX) 25 Systems theory; control (93-XX) 18 Probability theory and stochastic processes (60-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 12 Biology and other natural sciences (92-XX) 10 Difference and functional equations (39-XX) 9 Operations research, mathematical programming (90-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Computer science (68-XX) 7 Quantum theory (81-XX) 6 Integral transforms, operational calculus (44-XX) 5 Special functions (33-XX) 5 Approximations and expansions (41-XX) 5 Functional analysis (46-XX) 5 Statistics (62-XX) 4 Operator theory (47-XX) 3 Combinatorics (05-XX) 3 Associative rings and algebras (16-XX) 3 Group theory and generalizations (20-XX) 3 Mechanics of particles and systems (70-XX) 2 Algebraic geometry (14-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year