# zbMATH — the first resource for mathematics

## Wu, Xiaonan

Compute Distance To:
 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
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#### 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
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#### 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)

#### 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 1094.65083
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
Conjugate gradient method for rank deficient saddle point problems. Zbl 1054.65032
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
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
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
Artificial boundary method. Zbl 1277.65105
Han, Houde; Wu, Xiaonan
2013
Adaptive feedback synchronization of Lü system. Zbl 1060.93524
Han, X.; Lu, J.-A.; Wu, X.
2004
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 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
Derivative securities and difference methods. Zbl 1061.91036
Zhu, You-lan; Wu, Xiaonan; Chern, I-Liang
2004
A finite-element method for Laplace- and Helmholtz-type boundary value problems with singularities. Zbl 0873.65100
Wu, Xiaonan; Han, Houde
1997
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
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
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
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
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
Mean dynamics of transitional boundary-layer flow. Zbl 1241.76282
Klewicki, J.; Ebner, R.; Wu, X.
2011
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
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
Use of neural networks in detection of structural damage. Zbl 0749.92004
Wu, X.; Ghaboussi, J.; Garrett, J. H. jun.
1992
High-order local absorbing boundary conditions for heat equation in unbounded domains. Zbl 1249.65178
Wu, Xiaonan; Zhang, Jiwei
2011
Computational solution of blow-up problems for semilinear parabolic PDEs on unbounded domains. Zbl 1208.65124
Brunner, Hermann; Wu, Xiaonan; Zhang, Jiwei
2010
Analysis of high-order absorbing boundary conditions for the Schrödinger equation. Zbl 1388.65070
Zhang, Jiwei; Sun, Zhizhong; Wu, Xiaonan; Wang, Desheng
2011
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
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
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
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
Remarks on stability results for the solutions of certain fourth-order autonomous differential equations. Zbl 0934.34039
Wu, X.; Xiong, K.
1998
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
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
Internet security applications of the Munn rings. Zbl 1203.94142
Kelarev, A. V.; Yearwood, J. L.; Watters, P.; Wu, X.; Abawajy, J. H.; Pan, L.
2010
A difference scheme for Burgers equation in an unbounded domain. Zbl 1214.65047
Sun, Zhi-Zhong; Wu, Xiao-Nan
2009
An iteration method using artificial boundary for some elliptic boundary value problems with singularities. Zbl 0951.65113
Wu, Xiaonan; Cheung, Charissa Chui-Yee
1999
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
A survey on artificial boundary method. Zbl 1304.35490
Han, Houde; Wu, Xiaonan
2013
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
Discrete boundary conditions for problems with interface. Zbl 0991.65120
Wu, Xiaonan; Han, Houde
2001
A homogenization theory for elastic-viscoplastic composites with point symmetry of internal distributions. Zbl 1049.74750
Ohno, N.; Matsuda, T.; Wu, X.
2001
Numerical solution of the three-dimensional Ginzburg-Landau models using artificial boundary. Zbl 0935.65119
Du, Qiang; Wu, Xiaonan
1999
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
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
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
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
The singular finite element method for some elliptic boundary value problem with interface. Zbl 1050.65112
Jin, Jicheng; Wu, Xiaonan
2004
Analysis of artificial boundary conditions for exterior boundary value problems in three dimensions. Zbl 0958.65115
Han, Houde; He, Changhong; Wu, Xiaonan
2000
Derivative securities and difference methods. 2nd ed. Zbl 1337.91006
Zhu, You-lan; Wu, Xiaonan; Chern, I-Liang; Sun, Zhi-zhong
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
Existence theorems for maximal elements in $$H$$-spaces with applications on the minimax inequalities and equilibrium of games. Zbl 0989.47041
Wu, X.
2000
Transient response of one-dimensional distributed systems: a closed form eigenfunction expansion realization. Zbl 1235.74202
Yang, B.; Wu, X.
1997
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
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
Optimal dividends under reinsurance. Zbl 1333.91018
Beveridge, C. J.; Dickson, D. C. M.; Wu, X.
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
Alternating-direction iterative technique for mixed finite element methods for Stokes equations. Zbl 1063.65124
Gu, Haiming; Wu, Xiaonan
2005
Discrete boundary conditions for elasticity problems with singularities. Zbl 1054.74007
Wu, Xiaonan; Xue, Weimin
2003
On minimax inequality and generalized quasi-variational inequality in $$H$$-spaces. Zbl 0935.58011
Wu, X.; Zhang, Z.
1999
New existence theorems for solutions of generalized quasi-variational inequalities. Zbl 0916.47051
Wu, X.
1998
An optimal design problem for a two-dimensional flow in a duct. Zbl 0878.76063
Wu, X.; Cliff, E. M.; Gunzburger, M. D.
1996
A numerical approach to bifurcations from quadratic centers. Zbl 0860.65061
Shafer, Douglas S.; Wu, Xiaonan; Zegeling, André
1996
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
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
Internet security applications of the Munn rings. Zbl 1203.94142
Kelarev, A. V.; Yearwood, J. L.; Watters, P.; Wu, X.; Abawajy, J. H.; Pan, L.
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
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
Optimal dividends under reinsurance. Zbl 1333.91018
Beveridge, C. J.; Dickson, D. C. M.; Wu, X.
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
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
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
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
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
Conjugate gradient method for rank deficient saddle point problems. Zbl 1054.65032
Wu, X.; Silva, B. P. B.; Yuan, J. Y.
2004
Adaptive feedback synchronization of Lü system. Zbl 1060.93524
Han, X.; Lu, J.-A.; Wu, X.
2004
Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions. Zbl 1053.65074
Wu, Xiaonan; Sun, Zhizhong
2004
Derivative securities and difference methods. Zbl 1061.91036
Zhu, You-lan; Wu, Xiaonan; Chern, I-Liang
2004
Multi-atomic Young measure and artificial boundary in approximation of micromagnetics. Zbl 1061.78015
Li, Zhiping; Wu, Xiaonan
2004
The singular finite element method for some elliptic boundary value problem with interface. Zbl 1050.65112
Jin, Jicheng; 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
Discrete boundary conditions for problems with interface. Zbl 0991.65120
Wu, Xiaonan; Han, Houde
2001
A homogenization theory for elastic-viscoplastic composites with point symmetry of internal distributions. Zbl 1049.74750
Ohno, N.; Matsuda, T.; Wu, X.
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
An optimal design problem for a two-dimensional flow in a duct. Zbl 0878.76063
Wu, X.; Cliff, E. M.; Gunzburger, M. D.
1996
A numerical approach to bifurcations from quadratic centers. Zbl 0860.65061
Shafer, Douglas S.; Wu, Xiaonan; Zegeling, André
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 1,407 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
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#### 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
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#### 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)