Wu, Xiaonan

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 Author ID: wu.xiaonan Published as: Wu, Xiaonan; Wu, Xiao-nan; Wu, X.; Wu, Xiao-Nan; Wu, X. N. more...less
 Documents Indexed: 97 Publications since 1985, including 3 Books 1 Contribution as Editor Co-Authors: 30 Co-Authors with 57 Joint Publications 1,858 Co-Co-Authors
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Co-Authors

 4 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 Ohno, Nobutada 3 Wang, Desheng 2 Brunner, Hermann 2 Chern, I-Liang 2 Cliff, Eugene M. 2 Du, Qiang 2 Golub, Gene Howard 2 Gu, Haiming 2 Gunzburger, Max D. 2 Matsuda, Tetsuya 2 Van Brummelen, Harald 2 van der Zee, Kristoffer George 2 Xu, Yuan 2 Yuan, Jinyun 2 Zhu, Zuomin 1 Abawajy, Jemal H. 1 Abdel-Khalik, S. I. 1 Allan, Walter 1 Amel, Z. 1 Axelsson, Axel Owe Holger 1 Beveridge, C. J. 1 Boulama, K. Goni 1 Boyanova, Petia 1 Burkardt, John V. 1 Burns, John A. 1 Cheung, Charissa Chui-Yee 1 Cuminato, José Alberto 1 Dickson, David C. M. 1 Ding, Qing 1 Ebner, R. L. 1 Falcovitz, Joseph 1 Floryan, Jerzy M. 1 Gams, Matjaz 1 Garrett, James H. jun. 1 Ghaboussi, Jamshid 1 Ghiaasiaan, S. Mostafa 1 He, Changhong 1 Heilig, Werner 1 Hmoudou, K. 1 Huang, Hongci 1 Igra, Ozer 1 Imregun, Mehmet 1 Kelarev, Andrei Vladimirovich 1 Kim, Hongchul 1 Klewicki, Joseph C. 1 Koo, T. John 1 Kronbichler, Martin 1 Li, Zhiping 1 Liu, Yuhan 1 Lu, Jia-An 1 Meguro, Toshiyuki 1 Miao, Junjie 1 Neytcheva, Maya G. 1 Obeng, M. S. 1 Pan, Linlin 1 Paprzycki, Marcin 1 Pereira, Rui M. S. 1 Peterson, Janet S. 1 Poh, Kim-Leng 1 Qu, Zhihua 1 Ralescu, Dan A. 1 Ruban, Anatoly I. 1 Sadowski, D. L. 1 Sayma, A. I. 1 Shafer, Douglas S. 1 Shenoy, Ajit R. 1 Silva, B. P. B. 1 Su, Hang 1 Szumbarski, Jacek 1 Vahdati, Mehdi 1 Wang, Jing 1 Watters, Paul A. 1 Yearwood, J. L. 1 Yuan, Jin Yun 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 5 Journal of Applied Analysis 4 Computer Methods in Applied Mechanics and Engineering 3 Computers & Mathematics with Applications 3 Journal of Fluid Mechanics 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 Computer Physics Communications 2 International Journal of Control 2 International Journal of Solids and Structures 2 Journal of Computational Physics 2 Mathematics of Computation 2 BIT 2 Numerical Methods for Partial Differential Equations 2 Journal of Physics A: Mathematical and General 2 SIAM Journal on Scientific Computing 2 Springer Finance 1 Computers and Fluids 1 Computers and Structures 1 International Journal of Mechanical Sciences 1 International Journal of Multiphase Flow 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Journal of Sound and Vibration 1 Journal of Statistical Physics 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 International Journal for Numerical Methods in Engineering 1 Numerische Mathematik 1 Semigroup Forum 1 Optimal Control Applications & Methods 1 Numerical Mathematics 1 Acta Mathematica Hungarica 1 Journal of Systems Science and Mathematical Sciences 1 Numerical Algorithms 1 Physics of Fluids 1 Mitteilungen. Schweizerische Aktuarvereinigung (SAV) 1 International Journal of Computational Fluid Dynamics 1 Journal of Mathematical Study 1 Journal of Dynamical and Control Systems 1 1 Journal of the Physical Society of Japan 1 Control and Intelligent Systems 1 Iranian Journal of Fuzzy Systems 1 Frontiers in Artificial Intelligence and Applications 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 International Journal of Computer Science and Knowledge Engineering 1 Science China. Mathematics 1 East Asian Journal on Applied Mathematics
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Fields

 49 Numerical analysis (65-XX) 38 Partial differential equations (35-XX) 19 Fluid mechanics (76-XX) 9 Mechanics of deformable solids (74-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Operator theory (47-XX) 5 Computer science (68-XX) 5 Systems theory; control (93-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Convex and discrete geometry (52-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

Citations contained in zbMATH Open

76 Publications have been cited 1,491 times in 1,109 Documents Cited by Year
A fully discrete difference scheme for a diffusion-wave system. Zbl 1094.65083
Sun, Zhi-Zhong; Wu, Xiaonan
2006
SOR-like methods for augmented systems. Zbl 0991.65036
Golub, Gene H.; Wu, X.; Yuan, Jin-Yun
2001
Approximation of infinite boundary condition and its application to finite element methods. Zbl 0579.65111
Han, Houde; Wu, Xiaonan
1985
Wu, X.; Silva, B. P. B.; Yuan, J. Y.
2004
A fast numerical method for the Black-Scholes equation of American options. Zbl 1130.91336
Han, Houde; Wu, Xiaonan
2003
A new mixed finite element formulation and the MAC method for the Stokes equations. Zbl 0918.76036
Han, Houde; Wu, Xiaonan
1998
Covolume solutions of three-dimensional div-curl equations. Zbl 0889.35006
Nicolaides, Roy A.; Wu, Xiaonan
1997
Analysis and convergence of the MAC scheme. II: Navier-Stokes equations. Zbl 0852.76066
Nicolaides, R. A.; Wu, X.
1996
Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions. Zbl 1053.65074
Wu, Xiaonan; Sun, Zhizhong
2004
Symmetric-triangular decomposition and its applications. II: Preconditioners for indefinite systems. Zbl 1151.65027
Wu, Xiaonan; Golub, Gene H.; Cuminato, José A.; Yuan, Jin Yun
2008
The approximation of the exact boundary conditions at an artificial boundary for linear elastic equations and its application. Zbl 0754.35008
Han, Houde; Wu, Xiaonan
1992
Adaptive feedback synchronization of Lü system. Zbl 1060.93524
Han, X.; Lu, J.-A.; Wu, X.
2004
The stability and convergence of a difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions. Zbl 1094.65088
Sun, Zhi-zhong; Wu, Xiaonan
2006
Artificial boundary method. Zbl 1277.65105
Han, Houde; Wu, Xiaonan
2013
A finite-difference method for the one-dimensional time-dependent Schrödinger equation on unbounded domain. Zbl 1092.65071
Han, Houde; Jin, Jicheng; Wu, Xiaonan
2005
Numerical and computational efficiency of solvers for two-phase problems. Zbl 1319.76025
Axelsson, O.; Boyanova, P.; Kronbichler, M.; Neytcheva, M.; Wu, X.
2013
A finite-element method for Laplace- and Helmholtz-type boundary value problems with singularities. Zbl 0873.65100
Wu, Xiaonan; Han, Houde
1997
Derivative securities and difference methods. Zbl 1061.91036
Zhu, You-lan; Wu, Xiaonan; Chern, I-Liang
2004
Effects of average degree on cooperation in networked evolutionary game. Zbl 1189.91029
Tang, C.-L.; Wang, W.-X.; Wu, X.; Wang, B.-H.
2006
Adaptive absorbing boundary conditions for Schrödinger-type equations: Application to nonlinear and multi-dimensional problems. Zbl 1343.65114
Xu, Zhenli; Han, Houde; Wu, Xiaonan
2007
Artificial boundary methods for Burgers’ equation using nonlinear boundary conditions. Zbl 1096.65085
Han, Houde; Wu, Xiao-nan; Xu, Zhenli
2006
Mean dynamics of transitional boundary-layer flow. Zbl 1241.76282
Klewicki, J.; Ebner, R.; Wu, X.
2011
Analysis of finite element method for one-dimensional time-dependent Schrödinger equation on unbounded domain. Zbl 1155.65078
Jin, Jicheng; Wu, Xiaonan
2008
Numerical method for the deterministic Kardar-Parisi-Zhang equation in unbounded domains. Zbl 1120.65097
Xu, Z.; Han, H.; Wu, X.
2006
New matrix Lax representation for a Blaszak-Marciniak four-field lattice hierarchy and its infinitely many conservation laws. Zbl 1058.37057
Zhu, Zuonong; Zhu, Zuoming; Wu, Xiaonan; Xue, Weimin
2002
High-order local absorbing boundary conditions for heat equation in unbounded domains. Zbl 1249.65178
Wu, Xiaonan; Zhang, Jiwei
2011
Analysis and convergence of a covolume approximation of the Ginzburg-Landau model of superconductivity. Zbl 0911.65139
Du, Qiang; Nicolaides, R. A.; Wu, Xiaonan
1998
Infinitely many conservation laws for the Blaszak-Marciniak four-field integrable lattice hierarchy. Zbl 0994.37028
Zhu, Zuo-nong; Wu, Xiaonan; Xue, Weimin; Zhu, Zuo-min
2002
Numerical solution of the time-fractional sub-diffusion equation on an unbounded domain in two-dimensional space. Zbl 1383.65093
Li, Hongwei; Wu, Xiaonan; Zhang, Jiwei
2017
Use of neural networks in detection of structural damage. Zbl 0749.92004
Wu, X.; Ghaboussi, J.; Garrett, J. H. jun.
1992
Computational solution of blow-up problems for semilinear parabolic PDEs on unbounded domains. Zbl 1208.65124
Brunner, Hermann; Wu, Xiaonan; Zhang, Jiwei
2010
Artificial boundary method for two-dimensional Burgers’ equation. Zbl 1145.65321
Wu, Xiaonan; Zhang, Jiwei
2008
Homogenized properties of elastic-viscoplastic composites with periodic internal structures. Zbl 0979.74062
Ohno, N.; Wu, X.; Matsuda, T.
2000
A homogenization theory for time-dependent nonlinear composites with periodic internal structures. Zbl 0973.74007
Wu, X.; Ohno, N.
1999
Analysis of high-order absorbing boundary conditions for the Schrödinger equation. Zbl 1388.65070
Zhang, Jiwei; Sun, Zhizhong; Wu, Xiaonan; Wang, Desheng
2011
Experimental and theoretical study of shock wave propagation through double-bend ducts. Zbl 1085.76520
Igra, O.; Wu, X.; Falcovitz, J.; Meguro, T.; Takayama, K.; Heilig, W.
2001
Infinitely many conservation laws and integrable discretizations for some lattice soliton equations. Zbl 1039.37067
Zhu, Zuo-nong; Xue, Weimin; Wu, Xiaonan; Zhu, Zuo-min
2002
Stability of flow in a channel with vibrating walls. Zbl 1185.76127
Floryan, J. M.; Szumbarski, J.; Wu, X.
2002
Convergence of a finite element scheme for the two-dimensional time-dependent Schrödinger equation in a long strip. Zbl 1191.65118
Jin, Jicheng; Wu, Xiaonan
2010
Local artificial boundary conditions for Schrödinger and heat equations by using high-order azimuth derivatives on circular artificial boundary. Zbl 1348.35087
Li, Hongwei; Wu, Xiaonan; Zhang, Jiwei
2014
High-order local artificial boundary conditions for the fractional diffusion equation on one-dimensional unbounded domain. Zbl 1399.65183
Zhang, Wei; Li, Can; Wu, Xiaonan; Zhang, Jiwei
2017
On the continuous limits and integrability of a new coupled semidiscrete mKdV system. Zbl 1316.35258
Zhu, Zuo-nong; Zhao, Hai-qiong; Wu, Xiao-nan
2011
Remarks on stability results for the solutions of certain fourth-order autonomous differential equations. Zbl 0934.34039
Wu, X.; Xiong, K.
1998
An iteration method using artificial boundary for some elliptic boundary value problems with singularities. Zbl 0951.65113
Wu, Xiaonan; Cheung, Charissa Chui-Yee
1999
A difference scheme for Burgers equation in an unbounded domain. Zbl 1214.65047
Sun, Zhi-Zhong; Wu, Xiao-Nan
2009
Infinitely many conservation laws of two Blaszak-Marciniak three-field lattice hierarchies. Zbl 1068.70021
Zhu, Zuonong; Wu, Xiaonan; Xue, Weimin; Ding, Qing
2002
Duality-based two-level error estimation for time-dependent PDEs: application to linear and nonlinear parabolic equations. Zbl 1425.65120
Şimşek, G.; Wu, X.; van der Zee, K. G.; van Brummelen, E. H.
2015
Internet security applications of the Munn rings. Zbl 1203.94142
Kelarev, A. V.; Yearwood, J. L.; Watters, P.; Wu, X.; Abawajy, J. H.; Pan, Linlin
2010
Duality properties of a general vertex model. Zbl 0688.05072
Wu, X. N.; Wu, F. Y.
1989
The mixed finite element method for Stokes equations on unbounded domains. Zbl 0614.76029
Han, Houde; Wu, Xiaonan
1985
A homogenization theory for elastic-viscoplastic composites with point symmetry of internal distributions. Zbl 1049.74750
Ohno, N.; Matsuda, T.; Wu, X.
2001
Discrete boundary conditions for problems with interface. Zbl 0991.65120
Wu, Xiaonan; Han, Houde
2001
A survey on artificial boundary method. Zbl 1304.35490
Han, Houde; Wu, Xiaonan
2013
The bi-Hamiltonian structures of some new Lax integrable hierarchies associated with $$3\times 3$$ matrix spectral problems. Zbl 1044.37544
Zhu, Zuonong; Huang, H. C.; Xue, W. M.; Wu, X. N.
1997
Analysis of artificial boundary conditions for exterior boundary value problems in three dimensions. Zbl 0958.65115
Han, Houde; He, Changhong; Wu, Xiaonan
2000
Numerical solution of the three-dimensional Ginzburg-Landau models using artificial boundary. Zbl 0935.65119
Du, Qiang; Wu, Xiaonan
1999
The singular finite element method for some elliptic boundary value problem with interface. Zbl 1050.65112
Jin, Jicheng; Wu, Xiaonan
2004
Embedding of classes of functions with bounded $$\Phi$$-variation into generalized Lipschitz spaces. Zbl 1389.26018
Wu, X.
2016
On stabilization of energy for Hamiltonian systems. Zbl 1196.37095
Wu, X.; Zhu, J. F.; He, J. Z.; Zhang, H.
2006
Multi-atomic Young measure and artificial boundary in approximation of micromagnetics. Zbl 1061.78015
Li, Zhiping; Wu, Xiaonan
2004
Transient response of one-dimensional distributed systems: a closed form eigenfunction expansion realization. Zbl 1235.74202
Yang, B.; Wu, X.
1997
A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions. Zbl 1245.65114
Sun, Zhi-Zhong; Wu, Xiaonan; Zhang, Jiwei; Wang, Desheng
2012
Existence theorems for maximal elements in $$H$$-spaces with applications on the minimax inequalities and equilibrium of games. Zbl 0989.47041
Wu, X.
2000
Derivative securities and difference methods. 2nd ed. Zbl 1337.91006
Zhu, You-lan; Wu, Xiaonan; Chern, I-Liang; Sun, Zhi-zhong
2013
Stability analysis for nonlinear Schrödinger equations with nonlinear absorbing boundary conditions. Zbl 1389.35296
Zhang, Jiwei; Xu, Zhenli; Wu, Xiaonan; Wang, Desheng
2017
Convergence of a difference scheme for the heat equation in a long strip by artificial boundary conditions. Zbl 1133.65070
Han, Houde; Sun, Zhi-Zhong; Wu, Xiao-Nan
2008
A numerical approach to bifurcations from quadratic centers. Zbl 0860.65061
Shafer, Douglas S.; Wu, Xiaonan; Zegeling, André
1996
New existence theorems for solutions of generalized quasi-variational inequalities. Zbl 0916.47051
Wu, X.
1998
On minimax inequality and generalized quasi-variational inequality in $$H$$-spaces. Zbl 0935.58011
Wu, X.; Zhang, Z.
1999
An optimal design problem for a two-dimensional flow in a duct. Zbl 0878.76063
Wu, X.; Cliff, E. M.; Gunzburger, M. D.
1996
Alternating-direction iterative technique for mixed finite element methods for Stokes equations. Zbl 1063.65124
Gu, Haiming; Wu, Xiaonan
2005
Periodic solutions for a class of second order delay systems. Zbl 1282.34074
Wu, K.; Wu, X.; Zhou, F.
2013
Discrete boundary conditions for elasticity problems with singularities. Zbl 1054.74007
Wu, Xiaonan; Xue, Weimin
2003
Optimal dividends under reinsurance. Zbl 1333.91018
Beveridge, C. J.; Dickson, D. C. M.; Wu, X.
2008
A posteriori error estimation and adaptivity for nonlinear parabolic equations using IMEX-Galerkin discretization of primal and dual equations. Zbl 1402.65100
Wu, X.; van der Zee, K. G.; Simsek, G.; van Brummelen, E. H.
2018
A new quadratic deviation of fuzzy random variable and its application to portfolio optimization. Zbl 1458.91200
Wu, X.; Ralescu, D. A.; Liu, Y.
2020
A new quadratic deviation of fuzzy random variable and its application to portfolio optimization. Zbl 1458.91200
Wu, X.; Ralescu, D. A.; Liu, Y.
2020
A posteriori error estimation and adaptivity for nonlinear parabolic equations using IMEX-Galerkin discretization of primal and dual equations. Zbl 1402.65100
Wu, X.; van der Zee, K. G.; Simsek, G.; van Brummelen, E. H.
2018
Numerical solution of the time-fractional sub-diffusion equation on an unbounded domain in two-dimensional space. Zbl 1383.65093
Li, Hongwei; Wu, Xiaonan; Zhang, Jiwei
2017
High-order local artificial boundary conditions for the fractional diffusion equation on one-dimensional unbounded domain. Zbl 1399.65183
Zhang, Wei; Li, Can; Wu, Xiaonan; Zhang, Jiwei
2017
Stability analysis for nonlinear Schrödinger equations with nonlinear absorbing boundary conditions. Zbl 1389.35296
Zhang, Jiwei; Xu, Zhenli; Wu, Xiaonan; Wang, Desheng
2017
Embedding of classes of functions with bounded $$\Phi$$-variation into generalized Lipschitz spaces. Zbl 1389.26018
Wu, X.
2016
Duality-based two-level error estimation for time-dependent PDEs: application to linear and nonlinear parabolic equations. Zbl 1425.65120
Şimşek, G.; Wu, X.; van der Zee, K. G.; van Brummelen, E. H.
2015
Local artificial boundary conditions for Schrödinger and heat equations by using high-order azimuth derivatives on circular artificial boundary. Zbl 1348.35087
Li, Hongwei; Wu, Xiaonan; Zhang, Jiwei
2014
Artificial boundary method. Zbl 1277.65105
Han, Houde; Wu, Xiaonan
2013
Numerical and computational efficiency of solvers for two-phase problems. Zbl 1319.76025
Axelsson, O.; Boyanova, P.; Kronbichler, M.; Neytcheva, M.; Wu, X.
2013
A survey on artificial boundary method. Zbl 1304.35490
Han, Houde; Wu, Xiaonan
2013
Derivative securities and difference methods. 2nd ed. Zbl 1337.91006
Zhu, You-lan; Wu, Xiaonan; Chern, I-Liang; Sun, Zhi-zhong
2013
Periodic solutions for a class of second order delay systems. Zbl 1282.34074
Wu, K.; Wu, X.; Zhou, F.
2013
A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions. Zbl 1245.65114
Sun, Zhi-Zhong; Wu, Xiaonan; Zhang, Jiwei; Wang, Desheng
2012
Mean dynamics of transitional boundary-layer flow. Zbl 1241.76282
Klewicki, J.; Ebner, R.; Wu, X.
2011
High-order local absorbing boundary conditions for heat equation in unbounded domains. Zbl 1249.65178
Wu, Xiaonan; Zhang, Jiwei
2011
Analysis of high-order absorbing boundary conditions for the Schrödinger equation. Zbl 1388.65070
Zhang, Jiwei; Sun, Zhizhong; Wu, Xiaonan; Wang, Desheng
2011
On the continuous limits and integrability of a new coupled semidiscrete mKdV system. Zbl 1316.35258
Zhu, Zuo-nong; Zhao, Hai-qiong; Wu, Xiao-nan
2011
Computational solution of blow-up problems for semilinear parabolic PDEs on unbounded domains. Zbl 1208.65124
Brunner, Hermann; Wu, Xiaonan; Zhang, Jiwei
2010
Convergence of a finite element scheme for the two-dimensional time-dependent Schrödinger equation in a long strip. Zbl 1191.65118
Jin, Jicheng; Wu, Xiaonan
2010
Internet security applications of the Munn rings. Zbl 1203.94142
Kelarev, A. V.; Yearwood, J. L.; Watters, P.; Wu, X.; Abawajy, J. H.; Pan, Linlin
2010
A difference scheme for Burgers equation in an unbounded domain. Zbl 1214.65047
Sun, Zhi-Zhong; Wu, Xiao-Nan
2009
Symmetric-triangular decomposition and its applications. II: Preconditioners for indefinite systems. Zbl 1151.65027
Wu, Xiaonan; Golub, Gene H.; Cuminato, José A.; Yuan, Jin Yun
2008
Analysis of finite element method for one-dimensional time-dependent Schrödinger equation on unbounded domain. Zbl 1155.65078
Jin, Jicheng; Wu, Xiaonan
2008
Artificial boundary method for two-dimensional Burgers’ equation. Zbl 1145.65321
Wu, Xiaonan; Zhang, Jiwei
2008
Convergence of a difference scheme for the heat equation in a long strip by artificial boundary conditions. Zbl 1133.65070
Han, Houde; Sun, Zhi-Zhong; Wu, Xiao-Nan
2008
Optimal dividends under reinsurance. Zbl 1333.91018
Beveridge, C. J.; Dickson, D. C. M.; Wu, X.
2008
Adaptive absorbing boundary conditions for Schrödinger-type equations: Application to nonlinear and multi-dimensional problems. Zbl 1343.65114
Xu, Zhenli; Han, Houde; Wu, Xiaonan
2007
A fully discrete difference scheme for a diffusion-wave system. Zbl 1094.65083
Sun, Zhi-Zhong; Wu, Xiaonan
2006
The stability and convergence of a difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions. Zbl 1094.65088
Sun, Zhi-zhong; Wu, Xiaonan
2006
Effects of average degree on cooperation in networked evolutionary game. Zbl 1189.91029
Tang, C.-L.; Wang, W.-X.; Wu, X.; Wang, B.-H.
2006
Artificial boundary methods for Burgers’ equation using nonlinear boundary conditions. Zbl 1096.65085
Han, Houde; Wu, Xiao-nan; Xu, Zhenli
2006
Numerical method for the deterministic Kardar-Parisi-Zhang equation in unbounded domains. Zbl 1120.65097
Xu, Z.; Han, H.; Wu, X.
2006
On stabilization of energy for Hamiltonian systems. Zbl 1196.37095
Wu, X.; Zhu, J. F.; He, J. Z.; Zhang, H.
2006
A finite-difference method for the one-dimensional time-dependent Schrödinger equation on unbounded domain. Zbl 1092.65071
Han, Houde; Jin, Jicheng; Wu, Xiaonan
2005
Alternating-direction iterative technique for mixed finite element methods for Stokes equations. Zbl 1063.65124
Gu, Haiming; Wu, Xiaonan
2005
Wu, X.; Silva, B. P. B.; Yuan, J. Y.
2004
Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions. Zbl 1053.65074
Wu, Xiaonan; Sun, Zhizhong
2004
Adaptive feedback synchronization of Lü system. Zbl 1060.93524
Han, X.; Lu, J.-A.; Wu, X.
2004
Derivative securities and difference methods. Zbl 1061.91036
Zhu, You-lan; Wu, Xiaonan; Chern, I-Liang
2004
The singular finite element method for some elliptic boundary value problem with interface. Zbl 1050.65112
Jin, Jicheng; Wu, Xiaonan
2004
Multi-atomic Young measure and artificial boundary in approximation of micromagnetics. Zbl 1061.78015
Li, Zhiping; Wu, Xiaonan
2004
A fast numerical method for the Black-Scholes equation of American options. Zbl 1130.91336
Han, Houde; Wu, Xiaonan
2003
Discrete boundary conditions for elasticity problems with singularities. Zbl 1054.74007
Wu, Xiaonan; Xue, Weimin
2003
New matrix Lax representation for a Blaszak-Marciniak four-field lattice hierarchy and its infinitely many conservation laws. Zbl 1058.37057
Zhu, Zuonong; Zhu, Zuoming; Wu, Xiaonan; Xue, Weimin
2002
Infinitely many conservation laws for the Blaszak-Marciniak four-field integrable lattice hierarchy. Zbl 0994.37028
Zhu, Zuo-nong; Wu, Xiaonan; Xue, Weimin; Zhu, Zuo-min
2002
Infinitely many conservation laws and integrable discretizations for some lattice soliton equations. Zbl 1039.37067
Zhu, Zuo-nong; Xue, Weimin; Wu, Xiaonan; Zhu, Zuo-min
2002
Stability of flow in a channel with vibrating walls. Zbl 1185.76127
Floryan, J. M.; Szumbarski, J.; Wu, X.
2002
Infinitely many conservation laws of two Blaszak-Marciniak three-field lattice hierarchies. Zbl 1068.70021
Zhu, Zuonong; Wu, Xiaonan; Xue, Weimin; Ding, Qing
2002
SOR-like methods for augmented systems. Zbl 0991.65036
Golub, Gene H.; Wu, X.; Yuan, Jin-Yun
2001
Experimental and theoretical study of shock wave propagation through double-bend ducts. Zbl 1085.76520
Igra, O.; Wu, X.; Falcovitz, J.; Meguro, T.; Takayama, K.; Heilig, W.
2001
A homogenization theory for elastic-viscoplastic composites with point symmetry of internal distributions. Zbl 1049.74750
Ohno, N.; Matsuda, T.; Wu, X.
2001
Discrete boundary conditions for problems with interface. Zbl 0991.65120
Wu, Xiaonan; Han, Houde
2001
Homogenized properties of elastic-viscoplastic composites with periodic internal structures. Zbl 0979.74062
Ohno, N.; Wu, X.; Matsuda, T.
2000
Analysis of artificial boundary conditions for exterior boundary value problems in three dimensions. Zbl 0958.65115
Han, Houde; He, Changhong; Wu, Xiaonan
2000
Existence theorems for maximal elements in $$H$$-spaces with applications on the minimax inequalities and equilibrium of games. Zbl 0989.47041
Wu, X.
2000
A homogenization theory for time-dependent nonlinear composites with periodic internal structures. Zbl 0973.74007
Wu, X.; Ohno, N.
1999
An iteration method using artificial boundary for some elliptic boundary value problems with singularities. Zbl 0951.65113
Wu, Xiaonan; Cheung, Charissa Chui-Yee
1999
Numerical solution of the three-dimensional Ginzburg-Landau models using artificial boundary. Zbl 0935.65119
Du, Qiang; Wu, Xiaonan
1999
On minimax inequality and generalized quasi-variational inequality in $$H$$-spaces. Zbl 0935.58011
Wu, X.; Zhang, Z.
1999
A new mixed finite element formulation and the MAC method for the Stokes equations. Zbl 0918.76036
Han, Houde; Wu, Xiaonan
1998
Analysis and convergence of a covolume approximation of the Ginzburg-Landau model of superconductivity. Zbl 0911.65139
Du, Qiang; Nicolaides, R. A.; Wu, Xiaonan
1998
Remarks on stability results for the solutions of certain fourth-order autonomous differential equations. Zbl 0934.34039
Wu, X.; Xiong, K.
1998
New existence theorems for solutions of generalized quasi-variational inequalities. Zbl 0916.47051
Wu, X.
1998
Covolume solutions of three-dimensional div-curl equations. Zbl 0889.35006
Nicolaides, Roy A.; Wu, Xiaonan
1997
A finite-element method for Laplace- and Helmholtz-type boundary value problems with singularities. Zbl 0873.65100
Wu, Xiaonan; Han, Houde
1997
The bi-Hamiltonian structures of some new Lax integrable hierarchies associated with $$3\times 3$$ matrix spectral problems. Zbl 1044.37544
Zhu, Zuonong; Huang, H. C.; Xue, W. M.; Wu, X. N.
1997
Transient response of one-dimensional distributed systems: a closed form eigenfunction expansion realization. Zbl 1235.74202
Yang, B.; Wu, X.
1997
Analysis and convergence of the MAC scheme. II: Navier-Stokes equations. Zbl 0852.76066
Nicolaides, R. A.; Wu, X.
1996
A numerical approach to bifurcations from quadratic centers. Zbl 0860.65061
Shafer, Douglas S.; Wu, Xiaonan; Zegeling, André
1996
An optimal design problem for a two-dimensional flow in a duct. Zbl 0878.76063
Wu, X.; Cliff, E. M.; Gunzburger, M. D.
1996
The approximation of the exact boundary conditions at an artificial boundary for linear elastic equations and its application. Zbl 0754.35008
Han, Houde; Wu, Xiaonan
1992
Use of neural networks in detection of structural damage. Zbl 0749.92004
Wu, X.; Ghaboussi, J.; Garrett, J. H. jun.
1992
Duality properties of a general vertex model. Zbl 0688.05072
Wu, X. N.; Wu, F. Y.
1989
Approximation of infinite boundary condition and its application to finite element methods. Zbl 0579.65111
Han, Houde; Wu, Xiaonan
1985
The mixed finite element method for Stokes equations on unbounded domains. Zbl 0614.76029
Han, Houde; Wu, Xiaonan
1985
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Cited by 1,285 Authors

 43 Sun, Zhizhong 28 Zhang, Jiwei 27 Dehghan Takht Fooladi, Mehdi 25 Abbaszadeh, Mostafa 22 Han, Houde 21 Liu, Fawang 20 Wu, Xiaonan 20 Xu, Da 18 Rui, Hongxing 18 Wang, Zhibo 17 Ma, Changfeng 17 Zheng, Chunxiong 15 Gao, Guanghua 14 Vong, Seakweng 13 Li, Xiaoli 13 Tang, Yifa 12 Cao, Yang 12 Li, Dongfang 12 Lu, Shujuan 12 Zhang, Guofeng 12 Zhou, Zhi 11 Cui, Jingjing 11 Huang, Zhengge 11 Karniadakis, George Em 11 Liao, HongLin 11 Mohebbi, Akbar 11 Wang, Ligong 11 Wang, Yuanming 11 Xu, Zhong 10 Du, Qiang 10 Nicholls, David P. 10 Ren, Jincheng 10 Turner, Ian William 10 Wang, Hong 10 Yang, Xuehua 9 Jiang, Xiaoyun 9 Jin, Bangti 9 Zeng, Fanhai 9 Zhang, Haixiang 8 Brunner, Hermann 8 Fan, Hongtao 8 Feng, Libo 8 Huang, Jianfei 8 Li, Buyang 8 Li, Changjun 8 Li, Hong 8 Liu, Yang 8 Miao, Shu-Xin 8 Wang, Jilu 8 Xu, Chuanju 8 Zhang, Zhimin 7 Alikhanov, Anatoly A. 7 Bao, Weizhu 7 Chen, Hu 7 Dai, Weizhong 7 Deng, Weihua 7 Gatica, Gabriel N. 7 Huang, Ting-Zhu 7 Liang, Zhaozheng 7 Nikan, Omid 7 Shao, Xinhui 7 Wu, Shiliang 7 Wu, Yujiang 7 Yan, Yubin 7 Zayernouri, Mohsen 7 Zhang, Naimin 7 Zhao, Yanmin 7 Zheng, Bing 6 Bu, Weiping 6 Chen, Minghua 6 Hendy, Ahmed S. 6 Herbin, Raphaèle 6 Hu, Xiuling 6 Huang, Zhongyi 6 Ji, Cuicui 6 Li, Binjie 6 Li, Changpin 6 Li, Cuixia 6 Ran, Maohua 6 Song, Haiming 6 Sun, Haiwei 6 Valkov, Radoslav L. 6 Yang, Hongxiang 6 Zhang, Chengjian 6 Zhang, Luming 6 Zheng, Qingqing 6 Zhu, Xinyun 5 An, Na 5 Anh, Vo V. 5 Ashyralyev, Allaberen 5 Bai, Zhongzhi 5 Bhardwaj, Akanksha 5 Chao, Zhen 5 Chen, Wenping 5 Chen, Yanping 5 Delić, Aleksandra 5 Du, Ruilian 5 Eymard, Robert 5 Hao, Zhaopeng 5 Huang, Chengming ...and 1,185 more Authors
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Cited in 158 Serials

 101 Applied Mathematics and Computation 82 Computers & Mathematics with Applications 80 Journal of Computational and Applied Mathematics 71 Journal of Computational Physics 65 Journal of Scientific Computing 61 Numerical Algorithms 57 Applied Numerical Mathematics 42 International Journal of Computer Mathematics 30 Computational and Applied Mathematics 26 Applied Mathematics Letters 23 Computer Methods in Applied Mechanics and Engineering 20 SIAM Journal on Numerical Analysis 17 SIAM Journal on Scientific Computing 17 Advances in Difference Equations 16 Mathematics of Computation 16 Numerical Methods for Partial Differential Equations 16 East Asian Journal on Applied Mathematics 14 Applied Mathematical Modelling 13 Numerische Mathematik 12 Mathematics and Computers in Simulation 12 Engineering Analysis with Boundary Elements 10 BIT 10 Fractional Calculus & Applied Analysis 10 Communications in Computational Physics 9 Communications in Nonlinear Science and Numerical Simulation 9 Journal of Applied Mathematics and Computing 8 Computational Methods in Applied Mathematics 8 Advances in Applied Mathematics and Mechanics 7 Calcolo 7 Communications on Applied Mathematics and Computation 6 Japan Journal of Industrial and Applied Mathematics 6 Mathematical Problems in Engineering 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Journal of Applied Analysis and Computation 6 Journal of Function Spaces 5 Applicable Analysis 5 Advances in Computational Mathematics 4 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Physics 4 Chaos, Solitons and Fractals 4 Numerical Functional Analysis and Optimization 4 Numerical Linear Algebra with Applications 4 Abstract and Applied Analysis 4 Discrete Dynamics in Nature and Society 4 Science China. Mathematics 3 Modern Physics Letters B 3 Computers and Fluids 3 Computing 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Linear Algebra and its Applications 3 Nonlinear Dynamics 3 Taiwanese Journal of Mathematics 3 Journal of Nonlinear Mathematical Physics 3 Frontiers of Mathematics in China 3 Numerical Mathematics: Theory, Methods and Applications 3 International Journal of Applied and Computational Mathematics 3 AIMS Mathematics 2 International Journal for Numerical Methods in Fluids 2 Mathematical Methods in the Applied Sciences 2 Physica A 2 International Journal for Numerical Methods in Engineering 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 European Journal of Operational Research 2 SIAM Review 2 Filomat 2 Journal of Inequalities and Applications 2 Journal of Shanghai University 2 Chaos 2 International Journal of Theoretical and Applied Finance 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Foundations of Computational Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Numerical Analysis and Modeling 2 Boundary Value Problems 2 Advances in Mathematical Physics 2 Symmetry 2 Journal of Mathematics 2 Open Mathematics 2 Electronic Research Archive 1 International Journal of Modern Physics B 1 Computer Physics Communications 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 International Journal of Solids and Structures 1 International Journal of Theoretical Physics 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of the Korean Mathematical Society 1 SIAM Journal on Control and Optimization 1 Applied Mathematics and Mechanics. (English Edition) 1 Journal of Computational Mathematics 1 Physica D 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Complexity 1 Computational Mechanics ...and 58 more Serials
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Cited in 39 Fields

 983 Numerical analysis (65-XX) 611 Partial differential equations (35-XX) 121 Real functions (26-XX) 116 Fluid mechanics (76-XX) 61 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 51 Ordinary differential equations (34-XX) 51 Integral equations (45-XX) 36 Dynamical systems and ergodic theory (37-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 31 Optics, electromagnetic theory (78-XX) 30 Mechanics of deformable solids (74-XX) 23 Probability theory and stochastic processes (60-XX) 23 Statistical mechanics, structure of matter (82-XX) 12 Difference and functional equations (39-XX) 12 Approximations and expansions (41-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Operations research, mathematical programming (90-XX) 8 Quantum theory (81-XX) 7 Integral transforms, operational calculus (44-XX) 6 Biology and other natural sciences (92-XX) 5 Special functions (33-XX) 5 Operator theory (47-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 4 Computer science (68-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistics (62-XX) 3 Geophysics (86-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX)