## Sun, Weiwei

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 Author ID: sun.weiwei Published as: Sun, Weiwei; Sun, W.; Sun, Wei-wei; Sun, Wei Wei; Sun, W.-W. more...less
 Documents Indexed: 186 Publications since 1982 Co-Authors: 92 Co-Authors with 142 Joint Publications 3,082 Co-Co-Authors
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### Co-Authors

 23 single-authored 22 Li, Buyang 12 Li, Wen 9 Du, Kui 8 Gao, Huadong 8 Ma, Heping 8 Wu, Jiming 7 Zamani, Nader G. 6 He, Yinnian 6 Lin, Yanping 6 Wang, Jilu 6 Wu, Chengda 4 Fairweather, Graeme 4 Peng, Lianghong 4 Wang, Yingxi 4 Zhang, Xiaoping 3 Chang, Qianshun 3 Huang, Weizhang 3 Li, Dongfang 3 Lin, Tao 3 Liu, Dongqing 3 Russell, Robert D. 3 Tang, Yaping 3 Wang, Yuzhen 3 Yuan, Guangwei 3 Zhang, Qian 2 Becker, Adib A. 2 Hou, L. Steven 2 Hu, Xiang 2 Hyde, T. H. 2 Li, Haitao 2 Lin, Danyu 2 Lu, Linzhang 2 Lv, Xinyu 2 Nguyen, Que N. 2 Si, Zhiyong 2 Vaníček, Petr 2 Wang, Dan 2 Wang, Gaoran 2 Wang, Kaili 2 Wu, You 2 Wu, Yuqiang 2 Zhang, Lianzeng 1 Alsaadi, Fuad Eid S. 1 An, Rong 1 Bao, Gang 1 Bialecki, Bernard 1 Borwein, Jonathan Michael 1 Cai, Wentao 1 Camp, Brian 1 Chen, Xia 1 Chen, Xiaoshan 1 Du, Ning 1 Edoh, K. D. 1 Fan, Jintu 1 Guo, Benqi 1 Hang, Xudeng 1 Hao, Fei 1 He, Sailing 1 Hou, Yanren 1 Hu, Zhengming 1 Huang, Huaxiong 1 Huang, Ting-Zhu 1 Jia, Erhui 1 Jia, Huaidan 1 Kajiwara, A. 1 Knudson, David B. 1 Kong, Cuicui 1 Li, Fengquan 1 Li, Huiyuan 1 Li, Jian 1 Li, Yalu 1 Liao, HongLin 1 Lipman, D. Abram 1 Liu, Kam-Moon 1 Liu, Qiongsun 1 Liu, Yin 1 Martinec, Zdeněk 1 Mills, Donald 1 Moriyasu, Kazumine 1 Müller, Eva Nuria 1 Nie, Congcong 1 Pang, Guochen 1 Qiu, Mengyang 1 Sakai, Kazuhiro 1 Shen, Samuel Shan-Pu 1 Sheng, Xingping 1 Sjöberg, Lars E. 1 Ström, Staffan 1 Sun, Yizhong 1 Sun, Zhizhong 1 Tait, Robert J. 1 Tang, Tao 1 ter Horst, B. 1 Vajda, Péter 1 Wang, Pan 1 Wang, Peiguang 1 Wang, Shuling 1 Wang, Shuqing 1 Wang, Yi 1 Weinberg, Gadalia M. ...and 15 more Co-Authors
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### Serials

 23 SIAM Journal on Numerical Analysis 11 Numerische Mathematik 7 Journal of Computational and Applied Mathematics 5 Journal of Computational Physics 5 Numerical Methods for Partial Differential Equations 5 Journal of Geodesy 4 Journal of the Franklin Institute 4 International Journal for Numerical Methods in Engineering 4 Journal of Qufu Normal University. Natural Science 4 Linear Algebra and its Applications 4 Numerical Linear Algebra with Applications 4 Mathematical Problems in Engineering 4 International Journal of Numerical Analysis and Modeling 3 Computers & Mathematics with Applications 3 IMA Journal of Numerical Analysis 3 Mathematics of Computation 3 Applied Numerical Mathematics 3 SIAM Journal on Matrix Analysis and Applications 3 SIAM Journal on Scientific Computing 3 Communications in Computational Physics 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 Computer Methods in Applied Mechanics and Engineering 2 IEEE Transactions on Information Theory 2 International Journal of Mechanical Sciences 2 Applied Mathematics and Computation 2 BIT 2 Journal of Differential Equations 2 Journal of Computational Mathematics 2 Journal of Scientific Computing 2 International Journal of Computer Mathematics 2 SIAM Journal on Mathematical Analysis 2 Advances in Computational Mathematics 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Discrete and Continuous Dynamical Systems. Series B 2 Numerical Mathematics: Theory, Methods and Applications 2 AIMS Mathematics 1 Computers and Fluids 1 Computers and Structures 1 International Journal of General Systems 1 International Journal of Heat and Mass Transfer 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Nuclear Physics. B 1 Biometrika 1 The Computer Journal. Section A / Section B 1 Computing 1 Journal of the American Statistical Association 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 SIAM Journal on Control and Optimization 1 Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Science in China. Series A 1 European Journal of Applied Mathematics 1 Signal Processing 1 Journal of Natural Science of Heilongjiang University 1 Applications of Mathematics 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Applicable Algebra in Engineering, Communication and Computing 1 Advances in Engineering Software 1 Communications in Numerical Methods in Engineering 1 Mathematical Engineering in Industry 1 Complexity 1 Control Theory & Applications 1 The ANZIAM Journal 1 Scandinavian Actuarial Journal 1 Nonlinear Analysis. Modelling and Control 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Journal of Systems Science and Complexity 1 Information 1 Journal of Shandong University. Natural Science 1 HERMIS-$$\mu\pi$$. Hellenic European Research on Mathematics and Informatics Science 1 Acta Mechanica Sinica 1 Journal of Computer Applications 1 Advances in Applied Mathematics and Mechanics 1 Asian Journal of Control
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### Fields

 119 Numerical analysis (65-XX) 67 Partial differential equations (35-XX) 33 Fluid mechanics (76-XX) 24 Systems theory; control (93-XX) 16 Optics, electromagnetic theory (78-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Classical thermodynamics, heat transfer (80-XX) 12 Mechanics of deformable solids (74-XX) 10 Ordinary differential equations (34-XX) 6 Information and communication theory, circuits (94-XX) 5 Approximations and expansions (41-XX) 5 Geophysics (86-XX) 4 Statistics (62-XX) 4 Computer science (68-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Probability theory and stochastic processes (60-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

149 Publications have been cited 2,045 times in 1,122 Documents Cited by Year
Difference schemes for solving the generalized nonlinear Schrödinger equation. Zbl 0923.65059
Chang, Quianshun; Jia, Erhui; Sun, W.
1999
Unconditional convergence and optimal error estimates of a Galerkin-mixed FEM for incompressible miscible flow in porous media. Zbl 1311.76067
2013
Stability and convergence of the Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations. Zbl 1145.35318
He, Yinnian; Sun, Weiwei
2007
A fast algorithm for the electromagnetic scattering from a large cavity. Zbl 1089.78024
Bao, Gang; Sun, Weiwei
2005
Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations. Zbl 1281.65122
2013
Nonparametric estimation of the gap time distributions for serial events with censored data. Zbl 0917.62030
Lin, D. Y.; Sun, W.; Ying, Zhiliang
1999
Unconditionally optimal error estimates of a Crank-Nicolson Galerkin method for the nonlinear thermistor equations. Zbl 1298.65160
2014
Optimal error estimates of the Legendre-Petrov-Galerkin method for the Korteweg-de Vries equation. Zbl 1008.65070
Ma, Heping; Sun, Weiwei
2001
Variational mesh adaptation. II: Error estimates and monitor functions. Zbl 1018.65140
Huang, Weizhang; Sun, Weiwei
2003
A Legendre–Petrov–Galerkin and Chebyshev collocation method for third-order differential equations. Zbl 0986.65095
Ma, Heping; Sun, Weiwei
2000
Modified Gauss-Seidel type methods and Jacobi type methods for Z-matrices. Zbl 0966.65032
Li, Wen; Sun, Weiwei
2000
Stabilized finite element method based on the Crank-Nicolson extrapolation scheme for the time-dependent Navier-Stokes equations. Zbl 1129.35004
He, Yinnian; Sun, Weiwei
2007
Unconditional stability and error estimates of modified characteristics FEMs for the Navier-Stokes equations. Zbl 1346.76073
Si, Zhiyong; Wang, Jilu; Sun, Weiwei
2016
Hermite spectral methods with a time-dependent scaling for parabolic equations in unbounded domains. Zbl 1087.65097
Ma, Heping; Sun, Weiwei; Tang, Tao
2005
The superconvergence of Newton-Cotes rules for the Hadamard finite-part integral on an interval. Zbl 1147.65026
Wu, Jiming; Sun, Weiwei
2008
A new error analysis of characteristics-mixed FEMs for miscible displacement in porous media. Zbl 1433.65315
Wang, Jilu; Si, Zhiyong; Sun, Weiwei
2014
Stabilization analysis of time-delay Hamiltonian systems in the presence of saturation. Zbl 1217.93146
Sun, Wei Wei
2011
Optimal error estimates of linearized Crank-Nicolson Galerkin FEMs for the time-dependent Ginzburg-Landau equations in superconductivity. Zbl 1328.65206
2014
Quadratic immersed finite element spaces and their approximation capabilities. Zbl 1095.65102
Camp, Brian; Lin, Tao; Lin, Yanping; Sun, Weiwei
2006
Error estimates of splitting Galerkin methods for heat and sweat transport in textile materials. Zbl 1439.74421
Hou, Yanren; Li, Buyang; Sun, Weiwei
2013
Multi-level spectral Galerkin method for the Navier-Stokes problem. I: Spatial discretization. Zbl 1096.65099
He, Yinnian; Liu, Kam-Moon; Sun, Weiwei
2005
Regularity of the diffusion-dispersion tensor and error analysis of Galerkin FEMs for a porous medium flow. Zbl 1320.76069
2015
An efficient fully linearized semi-implicit Galerkin-mixed FEM for the dynamical Ginzburg-Landau equations of superconductivity. Zbl 1349.65450
2015
The superconvergence of the composite trapezoidal rule for Hadamard finite part integrals. Zbl 1092.65023
Wu, Jiming; Sun, Weiwei
2005
Error estimation of a class of quadratic immersed finite element methods for elliptic interface problems. Zbl 1136.65102
Lin, Tao; Lin, Yanping; Sun, Weiwei
2007
Analysis of $$L1$$-Galerkin FEMs for time-fractional nonlinear parabolic problems. Zbl 07416262
Li, Dongfang; Liao, Hong-Lin; Sun, Weiwei; Wang, Jilu; Zhang, Jiwei
2018
Stabilized finite element method for the non-stationary Navier-Stokes problem. Zbl 1089.76033
He, Yinnian; Lin, Yanping; Sun, Weiwei
2006
$$\mathcal {L}_2$$ disturbance attenuation for a class of time-delay Hamiltonian systems. Zbl 1255.93048
Sun, Weiwei; Wang, Yuzhen; Yang, Renming
2011
Perturbation bounds of unitary and subunitary polar factors. Zbl 1036.15017
Li, Wen; Sun, Weiwei
2002
Optimal error analysis of Crank-Nicolson schemes for a coupled nonlinear Schrödinger system in 3D. Zbl 1357.65148
Sun, Weiwei; Wang, Jilu
2017
Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials. Zbl 1332.76034
Sun, Weiwei; Sun, Zhizhong
2012
Toeplitz-type approximations to the Hadamard integral operator and their applications to electromagnetic cavity problems. Zbl 1130.78009
Wu, Jiming; Wang, Yingxi; Li, Wen; Sun, Weiwei
2008
Newton-Cotes formulae for the numerical evaluation of certain hypersingular integrals. Zbl 1084.65029
Sun, Weiwei; Wu, Jiming
2005
$$C^1$$-stably expansive flows. Zbl 1066.37009
Moriyasu, K.; Sakai, K.; Sun, W.
2005
Interpolatory quadrature rules for Hadamard finite-part integrals and their superconvergence. Zbl 1148.65020
Sun, Weiwei; Wu, Jiming
2008
The optimal convergence of the $$h$$-$$p$$ version of the finite element method with quasi-uniform meshes. Zbl 1146.65075
Guo, Benqi; Sun, Weiwei
2007
Finite element approximation for the viscoelastic fluid motion problem. Zbl 1014.76041
He, Yinnian; Lin, Yanping; Shen, Samuel S. P.; Sun, Weiwei; Tait, Robert
2003
New perturbation bounds for unitary polar factors. Zbl 1050.65025
Li, Wen; Sun, Weiwei
2003
Robust adaptive control of uncertain stochastic Hamiltonian systems with time varying delay. Zbl 1346.93391
Sun, Weiwei; Peng, Lianghong
2016
Maximal $$L^p$$ analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra. Zbl 1359.65206
2017
Observer-based robust adaptive control for uncertain stochastic Hamiltonian systems with state and input delays. Zbl 1416.93112
Sun, Weiwei; Peng, Lianghong
2014
The stability and convergence of fully discrete Galerkin-Galerkin FEMs for porous medium flows. Zbl 1373.76094
Li, Buyang; Wang, Jilu; Sun, Weiwei
2014
Moisture transport in fibrous clothing assemblies. Zbl 1138.76063
Huang, Huaxiong; Ye, Changhua; Sun, Weiwei
2008
Numerical study of heat and moisture transfer in textile materials by a finite volume method. Zbl 1364.76122
Ye, C.; Huang, H.; Fan, J.; Sun, W.
2008
An adaptive $$h-r$$ boundary element algorithm for the Laplace equation. Zbl 0810.65109
Sun, W.; Zamani, N. G.
1992
Spectral analysis of Hermite cubic spline collocation systems. Zbl 0937.65110
Sun, Weiwei
1999
Immersed finite element methods for 4th order differential equations. Zbl 1219.65135
Lin, T.; Lin, Y.; Sun, W.-W.; Wang, Z.
2011
A second-order method for the electromagnetic scattering from a large cavity. Zbl 1187.78036
Wang, Yingxi; Du, Kui; Sun, Weiwei
2008
Global existence of weak solution to the heat and moisture transport system in fibrous porous media. Zbl 1207.35181
Li, Buyang; Sun, Weiwei; Wang, Yi
2010
Maximal regularity of fully discrete finite element solutions of parabolic equations. Zbl 1359.65207
2017
Convergence analysis of spectral collocation methods for a singular differential equation. Zbl 1058.65076
Huang, Weizhang; Ma, Heping; Sun, Weiwei
2003
Global existence of weak solution for nonisothermal multicomponent flow in porous textile media. Zbl 1277.76106
2010
Quasi-steady-state and steady-state models for heat and moisture transport in textile assemblies. Zbl 1211.76125
Ye, C.; Li, B.; Sun, W.
2010
Some new perturbation bounds for the generalized polar decomposition. Zbl 1067.15017
Chen, Xiao-shan; Li, Wen; Sun, Weiwei
2004
Linearly implicit and high-order energy-conserving schemes for nonlinear wave equations. Zbl 1442.65220
Li, Dongfang; Sun, Weiwei
2020
New extended rational expansion method and exact solutions of Boussinesq equation and Jimbo-Miwa equations. Zbl 1122.65396
Wang, Dan; Sun, Weiwei; Kong, Cuicui; Zhang, Hongqing
2007
Legendre spectral Galerkin method for electromagnetic scattering from large cavities. Zbl 1285.78002
Li, Huiyuan; Ma, Heping; Sun, Weiwei
2013
Orthogonal spline collocation methods for the stream function-vorticity formulation of the Navier-Stokes equations. Zbl 1168.76037
Fairweather, Graeme; Ma, Heping; Sun, Weiwei
2008
Convergence and stability of explicit/implicit schemes for parabolic equations with discontinuous coefficients. Zbl 1075.65116
Zhu, Shaohong; Yuan, Guangwei; Sun, Weiwei
2004
Preconditioning iterative algorithm for the electromagnetic scattering from a large cavity. Zbl 1224.65079
Wang, Yingxi; Du, Kui; Sun, Weiwei
2009
A family of linearity-preserving schemes for anisotropic diffusion problems on arbitrary polyhedral grids. Zbl 1286.76138
Sun, Weiwei; Wu, Jiming; Zhang, Xiaoping
2013
Linearized FE approximations to a nonlinear gradient flow. Zbl 1317.65208
2014
Stability and convergence of fully discrete Galerkin FEMs for the nonlinear thermistor equations in a nonconvex polygon. Zbl 1368.65159
2017
Adaptive mesh refinement/redistribution for the equations of linear elasticity, boundary element formulation. Zbl 0771.73088
Sun, W.; Zamani, N. G.
1992
Matrix decomposition algorithms for the $$C^{0}$$-quadratic finite element Galerkin method. Zbl 1176.65132
Du, Kui; Fairweather, Graeme; Nguyen, Que N.; Sun, Weiwei
2009
Block iterative algorithms for solving Hermite bicubic collocation equations. Zbl 0853.65121
Sun, W.
1996
A novel numerical approach to time-fractional parabolic equations with nonsmooth solutions. Zbl 07448844
Li, Dongfang; Sun, Weiwei; Wu, Chengda
2021
Some remarks on the perturbation of polar decompositions for rectangular matrices. Zbl 1174.15335
Li, Wen; Sun, Weiwei
2006
A numerical study on the stability of a class of Helmholtz problems. Zbl 1351.78038
Du, Kui; Li, Buyang; Sun, Weiwei
2015
Computation of invariant tori by orthogonal collocation. Zbl 0962.65105
Edoh, K. D.; Russell, R. D.; Sun, W.
2000
Spline collocation differentiation matrices. Zbl 0888.65120
Russell, Robert D.; Sun, Weiwei
1997
Newton-Cotes rules for Hadamard finite-part integrals on an interval. Zbl 1203.65058
2010
A fast algorithm for solving the tensor product collocation equations. Zbl 0668.65088
Sun, Weiwei; Zamani, N. G.
1989
Combined perturbation bounds. I: Eigensystems and singular value decompositions. Zbl 1139.15008
Li, Wen; Sun, Weiwei
2008
Error analysis for solving the Korteweg-de Vries equation by a Legendre pseudo-spectral method. Zbl 0964.65100
Li, Jian; Ma, Heping; Sun, Weiwei
2000
Arbitrary high-order $$C^0$$ tensor product Galerkin finite element methods for the electromagnetic scattering from a large cavity. Zbl 1298.78031
Du, Kui; Sun, Weiwei; Zhang, Xiaoping
2013
Domain decomposition method for the fully-mixed Stokes-Darcy coupled problem. Zbl 07338023
Sun, Yizhong; Sun, Weiwei; Zheng, Haibiao
2021
Event-triggered control for disturbance decoupling problem of mix-valued logical networks. Zbl 1429.93230
Wang, Shuling; Li, Haitao; Li, Yalu; Sun, Weiwei
2020
The relaxed gradient based iterative algorithm for solving matrix equations $$A_iXB_i=F_i$$. Zbl 1382.65093
Sheng, Xingping; Sun, Weiwei
2017
A new mixed formulation and efficient numerical solution of Ginzburg-Landau equations under the temporal gauge. Zbl 1339.65147
2016
Optimal positioning of anodes for cathodic protection. Zbl 0849.49006
Hou, L. Steven; Sun, Weiwei
1996
Fast algorithms for high-order spline collocation systems. Zbl 0929.65103
Sun, W.
1998
Generalized Newton’s method for $$\text{LC}^ 1$$ unconstrained optimization. Zbl 0830.65059
Sun, W.
1995
Analysis of Galerkin FEMs for mixed formulation of time-dependent Ginzburg-Landau equations under temporal gauge. Zbl 1394.65134
Wu, Chengda; Sun, Weiwei
2018
On the crosscorrelation of sequences with the decimation factor $$d=\frac{p^n+1}{p+1}-\frac{p^n-1}{2}$$. Zbl 1015.94006
Hu, Z.; Li, X.; Mills, D.; Müller, E.; Sun, W.; Willems, W.; Yang, Y.; Zhang, Z.
2001
Orthogonal collocation solution of biharmonic equations. Zbl 0810.65108
Sun, W.
1993
Finite difference preconditioning for solving orthogonal collocation equations for boundary value problems. Zbl 0863.65072
Sun, Weiwei; Huang, Weizhang; Russell, Robert D.
1996
Numerical solution of electromagnetic scattering from a large partly covered cavity. Zbl 1219.78137
Du, Kui; Sun, Weiwei
2011
Fast algorithms for the electromagnetic scattering from rectangular cavities. Zbl 1184.78018
Wang, Ying-xi; Du, Kui; Sun, Wei-wei
2008
The perturbation bounds for eigenvalues of normal matrices. Zbl 1164.15329
Li, Wen; Sun, Weiwei
2005
Analysis of fully discrete FEM for miscible displacement in porous media with Bear-Scheidegger diffusion tensor. Zbl 07037307
Cai, Wentao; Li, Buyang; Lin, Yanping; Sun, Weiwei
2019
Risk model based on the first-order integer-valued moving average process with compound Poisson distributed innovations. Zbl 1416.91190
Hu, Xiang; Zhang, Lianzeng; Sun, Weiwei
2018
Adaptive $$r$$ and $$h-r$$ algorithms for boundary elements. Zbl 0770.65077
Zamani, N. G.; Sun, W.
1992
On necessary conditions for reconstruction of a specially structured Jacobi matrix from eigenvalues. Zbl 0942.65042
Lu, L. Z.; Sun, W. W.
1999
Heat and sweat transport in fibrous media with radiation. Zbl 1291.80008
Wang, Jilu; Sun, Weiwei
2014
Iterative algorithms for orthogonal spline collocation linear systems. Zbl 0826.65094
Sun, W.
1995
A high order direct method for solving Poisson’s equation in a disc. Zbl 0840.65111
Sun, W.
1995
Stability condition for difference schemes for parabolic systems. Zbl 0970.65098
Sun, Weiwei; Yuan, Guangwei
2000
The minimal eigenvalues of a class of block-tridiagonal matrices. Zbl 0882.65023
Lu, Linzhang; Sun, W.
1997
Global weak solution for a heat and sweat transport system in three-dimensional fibrous porous media with condensation/evaporation and absorption. Zbl 1433.76163
2012
A novel numerical approach to time-fractional parabolic equations with nonsmooth solutions. Zbl 07448844
Li, Dongfang; Sun, Weiwei; Wu, Chengda
2021
Domain decomposition method for the fully-mixed Stokes-Darcy coupled problem. Zbl 07338023
Sun, Yizhong; Sun, Weiwei; Zheng, Haibiao
2021
New analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media. Zbl 1452.65359
Sun, Weiwei; Wu, Chengda
2021
Linearly implicit and high-order energy-conserving schemes for nonlinear wave equations. Zbl 1442.65220
Li, Dongfang; Sun, Weiwei
2020
Event-triggered control for disturbance decoupling problem of mix-valued logical networks. Zbl 1429.93230
Wang, Shuling; Li, Haitao; Li, Yalu; Sun, Weiwei
2020
Global asymptotic stabilisation and $$H_\infty$$ control for a class of nonlinear Hamiltonian singular systems with delays and saturation. Zbl 1483.93505
Sun, Weiwei; Liu, Dongqing; Tang, Yaping
2020
Efficient Galerkin-mixed FEMs for incompressible miscible flow in porous media. Zbl 07408989
Sun, Weiwei; Wu, Chengda
2020
Finite-time simultaneous stabilization for stochastic port-controlled Hamiltonian systems over delayed and fading channels. Zbl 1451.93413
Tang, Yaping; Sun, Weiwei; Liu, Dongqing
2020
Analysis of fully discrete FEM for miscible displacement in porous media with Bear-Scheidegger diffusion tensor. Zbl 07037307
Cai, Wentao; Li, Buyang; Lin, Yanping; Sun, Weiwei
2019
Observer-based output feedback stabilisation and $$\mathcal{L}_2$$-disturbance attenuation of uncertain Hamiltonian systems with input and output delays. Zbl 1483.93496
Sun, Weiwei; Lv, Xinyu; Wang, Kaili; Wang, Liping
2019
New analysis of Galerkin FEMs for miscible displacement in porous media. Zbl 1448.76105
Wu, Chengda; Sun, Weiwei
2019
Analysis of $$L1$$-Galerkin FEMs for time-fractional nonlinear parabolic problems. Zbl 07416262
Li, Dongfang; Liao, Hong-Lin; Sun, Weiwei; Wang, Jilu; Zhang, Jiwei
2018
Analysis of Galerkin FEMs for mixed formulation of time-dependent Ginzburg-Landau equations under temporal gauge. Zbl 1394.65134
Wu, Chengda; Sun, Weiwei
2018
Risk model based on the first-order integer-valued moving average process with compound Poisson distributed innovations. Zbl 1416.91190
Hu, Xiang; Zhang, Lianzeng; Sun, Weiwei
2018
Analysis of linearized Galerkin-mixed FEMs for the time-dependent Ginzburg-Landau equations of superconductivity. Zbl 1395.65047
2018
Electromagnetic scattering from a cavity embedded in an impedance ground plane. Zbl 1406.78020
Du, Kui; Li, Buyang; Sun, Weiwei; Yang, Huanhuan
2018
Optimal error analysis of Crank-Nicolson schemes for a coupled nonlinear Schrödinger system in 3D. Zbl 1357.65148
Sun, Weiwei; Wang, Jilu
2017
Maximal $$L^p$$ analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra. Zbl 1359.65206
2017
Maximal regularity of fully discrete finite element solutions of parabolic equations. Zbl 1359.65207
2017
Stability and convergence of fully discrete Galerkin FEMs for the nonlinear thermistor equations in a nonconvex polygon. Zbl 1368.65159
2017
The relaxed gradient based iterative algorithm for solving matrix equations $$A_iXB_i=F_i$$. Zbl 1382.65093
Sheng, Xingping; Sun, Weiwei
2017
Maximal $$L^p$$ error analysis of FEMs for nonlinear parabolic equations with nonsmooth coefficients. Zbl 1380.65277
2017
Energy-based controller design of stochastic magnetic levitation system. Zbl 1426.93231
Sun, Weiwei; Wang, Kaili; Nie, Congcong; Xie, Xuejun
2017
Unconditional stability and error estimates of modified characteristics FEMs for the Navier-Stokes equations. Zbl 1346.76073
Si, Zhiyong; Wang, Jilu; Sun, Weiwei
2016
Robust adaptive control of uncertain stochastic Hamiltonian systems with time varying delay. Zbl 1346.93391
Sun, Weiwei; Peng, Lianghong
2016
A new mixed formulation and efficient numerical solution of Ginzburg-Landau equations under the temporal gauge. Zbl 1339.65147
2016
Regularity of the diffusion-dispersion tensor and error analysis of Galerkin FEMs for a porous medium flow. Zbl 1320.76069
2015
An efficient fully linearized semi-implicit Galerkin-mixed FEM for the dynamical Ginzburg-Landau equations of superconductivity. Zbl 1349.65450
2015
A numerical study on the stability of a class of Helmholtz problems. Zbl 1351.78038
Du, Kui; Li, Buyang; Sun, Weiwei
2015
$$H_{\infty}$$ excitation control design for stochastic power systems with input delay based on nonlinear Hamiltonian system theory. Zbl 1394.93305
Sun, Weiwei; Peng, Lianghong; Zhang, Ying; Jia, Huaidan
2015
Matrix decomposition algorithms for arbitrary order $$C^0$$ tensor product finite element systems. Zbl 1297.65029
Du, Kui; Fairweather, Graeme; Sun, Weiwei
2015
Unconditionally optimal error estimates of a Crank-Nicolson Galerkin method for the nonlinear thermistor equations. Zbl 1298.65160
2014
A new error analysis of characteristics-mixed FEMs for miscible displacement in porous media. Zbl 1433.65315
Wang, Jilu; Si, Zhiyong; Sun, Weiwei
2014
Optimal error estimates of linearized Crank-Nicolson Galerkin FEMs for the time-dependent Ginzburg-Landau equations in superconductivity. Zbl 1328.65206
2014
Observer-based robust adaptive control for uncertain stochastic Hamiltonian systems with state and input delays. Zbl 1416.93112
Sun, Weiwei; Peng, Lianghong
2014
The stability and convergence of fully discrete Galerkin-Galerkin FEMs for porous medium flows. Zbl 1373.76094
Li, Buyang; Wang, Jilu; Sun, Weiwei
2014
Linearized FE approximations to a nonlinear gradient flow. Zbl 1317.65208
2014
Heat and sweat transport in fibrous media with radiation. Zbl 1291.80008
Wang, Jilu; Sun, Weiwei
2014
Unconditional convergence and optimal error estimates of a Galerkin-mixed FEM for incompressible miscible flow in porous media. Zbl 1311.76067
2013
Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations. Zbl 1281.65122
2013
Error estimates of splitting Galerkin methods for heat and sweat transport in textile materials. Zbl 1439.74421
Hou, Yanren; Li, Buyang; Sun, Weiwei
2013
Legendre spectral Galerkin method for electromagnetic scattering from large cavities. Zbl 1285.78002
Li, Huiyuan; Ma, Heping; Sun, Weiwei
2013
A family of linearity-preserving schemes for anisotropic diffusion problems on arbitrary polyhedral grids. Zbl 1286.76138
Sun, Weiwei; Wu, Jiming; Zhang, Xiaoping
2013
Arbitrary high-order $$C^0$$ tensor product Galerkin finite element methods for the electromagnetic scattering from a large cavity. Zbl 1298.78031
Du, Kui; Sun, Weiwei; Zhang, Xiaoping
2013
Robust adaptive control and $$L_2$$ disturbance attenuation for uncertain Hamiltonian systems with time delay. Zbl 1296.93089
Sun, Weiwei; Pang, Guochen; Wang, Pan; Peng, Lianghong
2013
Numerical analysis of heat and moisture transport with a finite difference method. Zbl 1342.76085
2013
Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials. Zbl 1332.76034
Sun, Weiwei; Sun, Zhizhong
2012
Global weak solution for a heat and sweat transport system in three-dimensional fibrous porous media with condensation/evaporation and absorption. Zbl 1433.76163
2012
Finite volume solution of heat and moisture transfer through three-dimensional textile materials. Zbl 1365.76156
Hang, X. D.; Sun, W.; Ye, C.
2012
Nonconforming spline collocation methods in irregular domains. II: Error analysis. Zbl 1432.65173
He, Yinnian; Sun, Weiwei
2012
Adaptive synchronization of asymmetric coupled networks with multiple coupling delays. Zbl 1277.93041
Sun, Weiwei; Hao, Fei; Chen, Xia
2012
Heat-sweat flow in three-dimensional porous textile media. Zbl 1235.35159
2012
Stabilization analysis of time-delay Hamiltonian systems in the presence of saturation. Zbl 1217.93146
Sun, Wei Wei
2011
$$\mathcal {L}_2$$ disturbance attenuation for a class of time-delay Hamiltonian systems. Zbl 1255.93048
Sun, Weiwei; Wang, Yuzhen; Yang, Renming
2011
Immersed finite element methods for 4th order differential equations. Zbl 1219.65135
Lin, T.; Lin, Y.; Sun, W.-W.; Wang, Z.
2011
Numerical solution of electromagnetic scattering from a large partly covered cavity. Zbl 1219.78137
Du, Kui; Sun, Weiwei
2011
Heat and sweat transport through clothing assemblies with phase changes, condensation/evaporation and absorption. Zbl 1243.76110
Zhang, Qian; Li, Buyang; Sun, Weiwei
2011
A numerical study of air-vapor-heat transport through textile materials with a moving interface. Zbl 1242.80003
Zhang, Qian; Sun, W.
2011
Global existence of weak solution to the heat and moisture transport system in fibrous porous media. Zbl 1207.35181
Li, Buyang; Sun, Weiwei; Wang, Yi
2010
Global existence of weak solution for nonisothermal multicomponent flow in porous textile media. Zbl 1277.76106
2010
Quasi-steady-state and steady-state models for heat and moisture transport in textile assemblies. Zbl 1211.76125
Ye, C.; Li, B.; Sun, W.
2010
Newton-Cotes rules for Hadamard finite-part integrals on an interval. Zbl 1203.65058
2010
Preconditioning iterative algorithm for the electromagnetic scattering from a large cavity. Zbl 1224.65079
Wang, Yingxi; Du, Kui; Sun, Weiwei
2009
Matrix decomposition algorithms for the $$C^{0}$$-quadratic finite element Galerkin method. Zbl 1176.65132
Du, Kui; Fairweather, Graeme; Nguyen, Que N.; Sun, Weiwei
2009
Optimal porosity distribution of fibrous insulation. Zbl 1176.80012
Du, Ning; Fan, Jintu; Wu, Huijun; Sun, Weiwei
2009
Matrix decomposition algorithms for the finite element Galerkin method with piecewise Hermite cubics. Zbl 1172.65062
Bialecki, Bernard; Fairweather, Graeme; Knudson, David B.; Lipman, D. Abram; Nguyen, Que N.; Sun, Weiwei; Weinberg, Gadalia M.
2009
Channel identification and interference compensation for OFDM system in long multipath environment. Zbl 1178.94162
Sun, L.; Sano, A.; Sun, W.; Kajiwara, A.
2009
Hyperbolic boundary value problem with equivalued surface on a domain with thin layer. Zbl 1212.35013
Li, Fengquan; Sun, Weiwei
2009
The superconvergence of Newton-Cotes rules for the Hadamard finite-part integral on an interval. Zbl 1147.65026
Wu, Jiming; Sun, Weiwei
2008
Toeplitz-type approximations to the Hadamard integral operator and their applications to electromagnetic cavity problems. Zbl 1130.78009
Wu, Jiming; Wang, Yingxi; Li, Wen; Sun, Weiwei
2008
Interpolatory quadrature rules for Hadamard finite-part integrals and their superconvergence. Zbl 1148.65020
Sun, Weiwei; Wu, Jiming
2008
Moisture transport in fibrous clothing assemblies. Zbl 1138.76063
Huang, Huaxiong; Ye, Changhua; Sun, Weiwei
2008
Numerical study of heat and moisture transfer in textile materials by a finite volume method. Zbl 1364.76122
Ye, C.; Huang, H.; Fan, J.; Sun, W.
2008
A second-order method for the electromagnetic scattering from a large cavity. Zbl 1187.78036
Wang, Yingxi; Du, Kui; Sun, Weiwei
2008
Orthogonal spline collocation methods for the stream function-vorticity formulation of the Navier-Stokes equations. Zbl 1168.76037
Fairweather, Graeme; Ma, Heping; Sun, Weiwei
2008
Combined perturbation bounds. I: Eigensystems and singular value decompositions. Zbl 1139.15008
Li, Wen; Sun, Weiwei
2008
Fast algorithms for the electromagnetic scattering from rectangular cavities. Zbl 1184.78018
Wang, Ying-xi; Du, Kui; Sun, Wei-wei
2008
Stability and convergence of the Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations. Zbl 1145.35318
He, Yinnian; Sun, Weiwei
2007
Stabilized finite element method based on the Crank-Nicolson extrapolation scheme for the time-dependent Navier-Stokes equations. Zbl 1129.35004
He, Yinnian; Sun, Weiwei
2007
Error estimation of a class of quadratic immersed finite element methods for elliptic interface problems. Zbl 1136.65102
Lin, Tao; Lin, Yanping; Sun, Weiwei
2007
The optimal convergence of the $$h$$-$$p$$ version of the finite element method with quasi-uniform meshes. Zbl 1146.65075
Guo, Benqi; Sun, Weiwei
2007
New extended rational expansion method and exact solutions of Boussinesq equation and Jimbo-Miwa equations. Zbl 1122.65396
Wang, Dan; Sun, Weiwei; Kong, Cuicui; Zhang, Hongqing
2007
Combined perturbation bounds. II: Polar decompositions. Zbl 1129.65025
Li, Wen; Sun, Weiwei
2007
Nonconforming spline collocation methods in irregular domains. Zbl 1140.65088
Sun, Weiwei; Wu, Jiming; Zhang, Xiaoping
2007
Stability analysis for some classes of time-delay nonlinear Hamiltonian systems. Zbl 1174.93671
Sun, Weiwei; Wang, Yuzhen
2007
Quadratic immersed finite element spaces and their approximation capabilities. Zbl 1095.65102
Camp, Brian; Lin, Tao; Lin, Yanping; Sun, Weiwei
2006
Stabilized finite element method for the non-stationary Navier-Stokes problem. Zbl 1089.76033
He, Yinnian; Lin, Yanping; Sun, Weiwei
2006
Some remarks on the perturbation of polar decompositions for rectangular matrices. Zbl 1174.15335
Li, Wen; Sun, Weiwei
2006
A fast algorithm for the electromagnetic scattering from a large cavity. Zbl 1089.78024
Bao, Gang; Sun, Weiwei
2005
Hermite spectral methods with a time-dependent scaling for parabolic equations in unbounded domains. Zbl 1087.65097
Ma, Heping; Sun, Weiwei; Tang, Tao
2005
Multi-level spectral Galerkin method for the Navier-Stokes problem. I: Spatial discretization. Zbl 1096.65099
He, Yinnian; Liu, Kam-Moon; Sun, Weiwei
2005
The superconvergence of the composite trapezoidal rule for Hadamard finite part integrals. Zbl 1092.65023
Wu, Jiming; Sun, Weiwei
2005
Newton-Cotes formulae for the numerical evaluation of certain hypersingular integrals. Zbl 1084.65029
Sun, Weiwei; Wu, Jiming
2005
$$C^1$$-stably expansive flows. Zbl 1066.37009
Moriyasu, K.; Sakai, K.; Sun, W.
2005
The perturbation bounds for eigenvalues of normal matrices. Zbl 1164.15329
Li, Wen; Sun, Weiwei
2005
On convergence of multigrid method for nonnegative definite systems. Zbl 1070.65022
Chang, Qianshun; Sun, Weiwei
2005
Some new perturbation bounds for the generalized polar decomposition. Zbl 1067.15017
Chen, Xiao-shan; Li, Wen; Sun, Weiwei
2004
Convergence and stability of explicit/implicit schemes for parabolic equations with discontinuous coefficients. Zbl 1075.65116
Zhu, Shaohong; Yuan, Guangwei; Sun, Weiwei
2004
Variational mesh adaptation. II: Error estimates and monitor functions. Zbl 1018.65140
Huang, Weizhang; Sun, Weiwei
2003
Finite element approximation for the viscoelastic fluid motion problem. Zbl 1014.76041
He, Yinnian; Lin, Yanping; Shen, Samuel S. P.; Sun, Weiwei; Tait, Robert
2003
...and 49 more Documents
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### Cited by 1,458 Authors

 56 Sun, Weiwei 51 He, Yinnian 30 Li, Buyang 26 Shi, Dongyang 19 Huang, Weizhang 19 Si, Zhiyong 17 Wang, Kun 16 Wu, Jiming 15 Gao, Huadong 15 Li, Jian 15 Lin, Tao 14 Li, Wen 13 Feng, Xinlong 13 Li, Meng 13 Zhang, Xiaoping 12 Dehghan Takht Fooladi, Mehdi 12 Du, Kui 12 He, Xiaoming 12 Shang, Yueqiang 12 Wang, Tingchun 11 Ma, Heping 11 Wang, Junjun 11 Zhang, Zhimin 10 Huang, Pengzhan 10 Li, Dongfang 10 Wang, Yushun 10 Zhang, Luming 9 Hou, Yanren 9 Huang, Chengming 9 Lin, Yanping 9 Qiu, Jianxian 9 Wang, Jilu 8 Kang, Hongchao 8 Li, Jin 7 An, Rong 7 Chen, Ruyun 7 Sun, Haiwei 7 Sun, Liying 7 Vong, Seakweng 7 Xu, Zhenhua 7 Yang, Chaoxia 7 Yang, Huaijun 7 Yang, Renming 7 Yu, Dehao 7 Yuan, Jinyun 6 Beneš, Michal 6 Cai, Wentao 6 Fairweather, Graeme 6 Guo, Boling 6 Huang, Yunqing 6 Ju, Lili 6 Li, Huiyuan 6 Rui, Hongxing 6 Shen, Jie 6 Wang, Tianjun 6 Wang, Yunxia 6 Xiang, Shuhuang 6 Zeng, Fanhai 6 Zhang, Chao 6 Zhang, Zhongqiang 6 Zhu, Quanxin 5 Cai, Wenjun 5 Chen, Guoliang 5 Chen, Zhangxin 5 Funaro, Daniele 5 Jiang, Xiaoyun 5 Li, Peijun 5 Liu, Hailiang 5 Liu, Qian 5 Lizama, Carlos 5 Manzini, Gianmarco 5 Murillo-Arcila, Marina 5 Pani, Amiya Kumar 5 Peng, Lianghong 5 Shan, Li 5 Wang, Lilian 5 Wang, Nan 5 Wang, Pengde 5 Wu, Chengda 5 Xu, Jinchao 5 Zhang, Guodong 5 Zhang, Jiwei 5 Zhang, Xu 4 Adjerid, Slimane 4 Bao, Weizhu 4 Bialecki, Bernard 4 Chen, Yanmei 4 Cheng, Xiujun 4 Fang, Chunhua 4 Gunzburger, Max D. 4 Guo, Ben-Yu 4 Guo, Benqi 4 Guo, Shimin 4 He, Dongdong 4 Hendy, Ahmed S. 4 Jiang, Chaolong 4 Jin, Jiaojiao 4 Leykekhman, Dmitriy 4 Li, Hanyu 4 Li, Hongwei ...and 1,358 more Authors
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### Cited in 175 Serials

 104 Applied Mathematics and Computation 82 Journal of Computational and Applied Mathematics 75 Journal of Scientific Computing 66 Applied Numerical Mathematics 63 Journal of Computational Physics 54 Computers & Mathematics with Applications 28 International Journal of Computer Mathematics 28 Mathematical Problems in Engineering 27 Numerical Algorithms 26 SIAM Journal on Numerical Analysis 26 Numerical Methods for Partial Differential Equations 22 Mathematics of Computation 17 Numerische Mathematik 17 Advances in Computational Mathematics 15 Computer Methods in Applied Mechanics and Engineering 15 Engineering Analysis with Boundary Elements 14 Journal of the Franklin Institute 14 Journal of Mathematical Analysis and Applications 14 SIAM Journal on Scientific Computing 13 Communications in Computational Physics 12 Mathematics and Computers in Simulation 12 Applied Mathematical Modelling 12 Computational and Applied Mathematics 12 Advances in Applied Mathematics and Mechanics 11 Linear Algebra and its Applications 9 Computers and Fluids 9 Calcolo 9 Applied Mathematics Letters 8 Mathematical Methods in the Applied Sciences 8 Discrete and Continuous Dynamical Systems. Series B 8 Boundary Value Problems 8 Science China. Mathematics 7 Applicable Analysis 7 Advances in Difference Equations 6 BIT 6 Computing 6 International Journal for Numerical Methods in Engineering 6 Computational Methods in Applied Mathematics 6 International Journal of Numerical Analysis and Modeling 6 Advances in Mathematical Physics 6 AIMS Mathematics 5 Computer Physics Communications 5 Acta Mathematicae Applicatae Sinica. English Series 5 Mathematical and Computer Modelling 5 Journal of Applied Mathematics and Computing 5 East Asian Journal on Applied Mathematics 4 Journal of Computational Mathematics 4 Numerical Linear Algebra with Applications 4 Filomat 4 Abstract and Applied Analysis 4 Journal of Inequalities and Applications 4 Afrika Matematika 4 International Journal of Systems Science. Principles and Applications of Systems and Integration 4 Communications on Applied Mathematics and Computation 3 International Journal of Control 3 Chaos, Solitons and Fractals 3 Journal of Differential Equations 3 Nonlinear Dynamics 3 Journal of Applied Mathematics 3 International Journal of Computational Methods 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 International Journal for Numerical Methods in Biomedical Engineering 3 S$$\vec{\text{e}}$$MA Journal 3 AMM. Applied Mathematics and Mechanics. (English Edition) 2 International Journal for Numerical Methods in Fluids 2 Inverse Problems 2 Journal of Engineering Mathematics 2 Linear and Multilinear Algebra 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Applied Mathematics and Mechanics. (English Edition) 2 Stochastic Analysis and Applications 2 SIAM Journal on Matrix Analysis and Applications 2 Neural Computation 2 Japan Journal of Industrial and Applied Mathematics 2 Applications of Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Numerical Methods in Engineering 2 Journal of Difference Equations and Applications 2 Journal of Mathematical Chemistry 2 Communications in Nonlinear Science and Numerical Simulation 2 Computational Geosciences 2 Engineering Computations 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Nonlinear Analysis. Modelling and Control 2 Journal of Systems Science and Complexity 2 Advances in Numerical Analysis 2 Asian Journal of Control 2 Numerical Algebra, Control and Optimization 2 Journal of Applied Analysis and Computation 2 Journal of Mathematics 2 Journal of Function Spaces 2 Electronic Research Archive 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 International Journal of Heat and Mass Transfer 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Lithuanian Mathematical Journal 1 Journal of Approximation Theory ...and 75 more Serials
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### Cited in 41 Fields

 935 Numerical analysis (65-XX) 509 Partial differential equations (35-XX) 241 Fluid mechanics (76-XX) 64 Optics, electromagnetic theory (78-XX) 58 Approximations and expansions (41-XX) 55 Systems theory; control (93-XX) 44 Linear and multilinear algebra; matrix theory (15-XX) 44 Ordinary differential equations (34-XX) 37 Mechanics of deformable solids (74-XX) 27 Integral equations (45-XX) 26 Classical thermodynamics, heat transfer (80-XX) 21 Real functions (26-XX) 21 Special functions (33-XX) 18 Statistical mechanics, structure of matter (82-XX) 16 Biology and other natural sciences (92-XX) 15 Quantum theory (81-XX) 14 Probability theory and stochastic processes (60-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Operator theory (47-XX) 9 Geophysics (86-XX) 7 Integral transforms, operational calculus (44-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Difference and functional equations (39-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Statistics (62-XX) 4 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 4 Astronomy and astrophysics (85-XX) 3 Functions of a complex variable (30-XX) 3 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Global analysis, analysis on manifolds (58-XX)