## Lu, Tao

Compute Distance To:
 Author ID: lu.tao Published as: Lu, Tao; Lü, Tao; Lu, T. more...less
 Documents Indexed: 159 Publications since 1979, including 3 Books Co-Authors: 102 Co-Authors with 137 Joint Publications 3,617 Co-Co-Authors
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### Co-Authors

 15 single-authored 14 Shih, Tsimin 12 He, Wei 12 Wang, Xijuan 11 Bavula, Vladimir V. 11 Lin, Qun 10 Huang, Jin 8 Wang, Min 7 He, Xiaoming 6 Liem, Chin-Bo 6 Liem, Chinbo 6 Shih, Tien-Mo 5 Wang, Di 5 Zhang, Jun 4 Hu, Chaolang 4 Shen, Shumin 3 Huang, Yangxin 3 Lin, Jinguan 3 Wu, Hulin 3 Xu, Kuankuan 3 Yan, Fangrong 3 Zhu, Rui 2 Cao, Yong 2 Cheng, Pan 2 Du, Shaohong 2 Feng, Yong 2 Guo, Zhijun 2 Han, Huilei 2 Jiang, Pei-Xue 2 Lan, Weiyao 2 Lee, Chung-Yee 2 Li, He 2 Li, Zi-Cai 2 Liang, Hua 2 Liu, Junlin 2 Liu, Yaping 2 Lu, Minggen 2 Neittaanmäki, Pekka J. 2 Pan, Lu 2 Tai, Xuecheng 2 Wang, Qiandong 2 Wen, Jiajin 2 Yang, Yidu 2 Zhou, Aihui 1 Cai, Chunyan 1 Cai, Yinghao 1 Cao, Xiren 1 Chen, Fang 1 Chen, Tianxiang 1 Cheng, Guoyang 1 Cui, Xia 1 Dong, Guanghui 1 Dong, Jianping 1 Fransoo, Jan C. 1 Gao, Shuhong 1 Harhalakis, George 1 He, Baohua 1 Hu, Yuanping 1 Hu, Zhifang 1 Huang, Yong 1 Huang, Yuan 1 Kang, Shuaimin 1 Kong, Lingbin 1 Li, Chin-Shang 1 Li, Hongzhe 1 Li, Zhibin 1 Lin, Aimin 1 Lin, Xiao 1 Liu, Dacheng 1 Liu, Naijun 1 Lu, Jing 1 Luo, Zhao 1 Ma, Ming 1 Metrikine, Andrei V. 1 Minis, Ioannis 1 Nagi, Rakesh 1 Niu, Cuizhen 1 Niu, Xufeng 1 Pečarić, Josip 1 Qian, Feng 1 Steenbergen, Michaël J. M. M. 1 Sun, Xiaoqian 1 Tao, Yu-Xi 1 Wang, De-Xin 1 Wang, Kuisheng 1 Wang, Li 1 Wang, Shuo 1 Wang, Wanlan 1 Wang, Yue 1 Wei, Zhenghong 1 Wen, Songqiao 1 Wen, Tao 1 Wu, Chun 1 Xiao, Fu 1 Xu, Yifan 1 Xue, Hongqi 1 Yang, Rongkui 1 Yang, Xuguang 1 You, Xiaojian 1 Zhang, Rixin 1 Zhang, Yang ...and 9 more Co-Authors
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### Serials

 9 Journal of Sichuan University. Natural Science Edition 8 Mathematica Numerica Sinica 8 Journal of Computational Mathematics 5 Journal of Systems Science and Mathematical Sciences 5 Journal of Jiangsu Normal University. Natural Science Edition 4 Southeast Asian Bulletin of Mathematics 4 Mathematics in Practice and Theory 4 Systems Science and Mathematical Sciences 4 Journal of Applied Statistics 4 Journal of Shandong University. Natural Science 4 Fuzzy Systems and Mathematics 3 Advances in Mathematics 3 Computational Statistics 3 International Journal of Computer Mathematics 3 Journal of Tianjin Normal University. Natural Science Edition 3 International Journal of Pure and Applied Mathematics 2 Canadian Mathematical Bulletin 2 Journal of the American Statistical Association 2 Numerical Mathematics 2 Statistics & Probability Letters 2 Applied Mathematics and Mechanics. (English Edition) 2 Applied Numerical Mathematics 2 Communications in Statistics. Simulation and Computation 2 Acta Mathematica Scientia 1 Communications in Algebra 1 International Journal of Control 1 International Journal of Heat and Mass Transfer 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Acta Mathematica Sinica 1 Biometrics 1 Glasgow Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Statistical Planning and Inference 1 Naval Research Logistics 1 Operations Research 1 RAIRO. Analyse Numérique 1 Optimal Control Applications & Methods 1 Acta Mathematicae Applicatae Sinica 1 Journal of Mathematical Research & Exposition 1 Chinese Annals of Mathematics. Series A 1 Journal of Northeast Normal University. Natural Science Edition 1 International Journal of Production Research 1 Acta Automatica Sinica 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Applied Mathematics Letters 1 Journal of Southeast University. English Edition 1 Discrete Event Dynamic Systems 1 SIAM Journal on Scientific Computing 1 Statistical Papers 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Filomat 1 Journal of Lie Theory 1 Chinese Journal of Numerical Mathematics and Applications 1 Science in China. Series E 1 Mathematical Problems in Engineering 1 Journal of Nanjing Normal University. Natural Science Edition 1 Taiwanese Journal of Mathematics 1 Mathematical Inequalities & Applications 1 Algebras and Representation Theory 1 European Journal of Mechanics. A. Solids 1 Brazilian Journal of Probability and Statistics 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Journal of Harbin Engineering University 1 Statistical Modelling 1 Journal of Natural Science. Nanjing Normal University 1 Algebra and Discrete Mathematics 1 Series on Applied Mathematics 1 Journal of Noncommutative Geometry 1 Communications in Computational Physics 1 The Annals of Applied Statistics 1 Statistics and Its Interface 1 Journal of Probability and Statistics 1 Journal of Suzhou University of Science and Technology. Natural Science Edition 1 Scientia Sinica. Mathematica 1 Journal of Applied Mathematics and Bioinformatics 1 Journal of Statistical Distributions and Applications
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### Fields

 82 Numerical analysis (65-XX) 42 Partial differential equations (35-XX) 24 Statistics (62-XX) 22 Order, lattices, ordered algebraic structures (06-XX) 12 Category theory; homological algebra (18-XX) 10 Associative rings and algebras (16-XX) 10 Nonassociative rings and algebras (17-XX) 9 Integral equations (45-XX) 8 General topology (54-XX) 7 Approximations and expansions (41-XX) 5 Ordinary differential equations (34-XX) 5 Operator theory (47-XX) 5 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 5 Operations research, mathematical programming (90-XX) 5 Biology and other natural sciences (92-XX) 5 Systems theory; control (93-XX) 4 Potential theory (31-XX) 4 Computer science (68-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Mathematical logic and foundations (03-XX) 2 Real functions (26-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Classical thermodynamics, heat transfer (80-XX)

### Citations contained in zbMATH Open

62 Publications have been cited 319 times in 226 Documents Cited by Year
A parallel splitting up method and its application to Navier-Stokes equations. Zbl 0718.65066
Lu, T.; Neittaanmäki, P.; Tai, Xue-Cheng
1991
A parallel splitting-up method for partial differential equations and its applications to Navier-Stokes equations. Zbl 0756.65129
Lu, T.; Neittaanmäki, P.; Tai, X.-C.
1992
The splitting extrapolation method. A new technique in numerical solution of multidimensional problems. Zbl 0875.65002
Lü, Tao; Shih, T. M.; Liem, C. B.
1995
The mechanical quadrature methods and their extrapolation for solving BIE of Steklov eigenvalue problems. Zbl 1069.65123
Huang, Jin; Lü, Tao
2004
Mechanical quadrature methods and their splitting extrapolations for boundary integral equations of first kind on open arcs. Zbl 1175.65142
Huang, Jin; Lü, Tao; Li, Zi Cai
2009
A generalization of Maclaurin’s inequalities and its application. Zbl 1087.26019
Pečarić, Josip; Wen, Jiajin; Wang, Wan-lan; Lu, Tao
2005
Maximum norm estimate, extrapolation and optimal points of stresses for the finite element methods on the strongly regular triangulation. Zbl 0563.65070
Lin, Qun; Lü, Tao; Shen, Shumin
1983
High-dimensional ODEs coupled with mixed-effects modeling techniques for dynamic gene regulatory network identification. Zbl 1234.62146
Lu, Tao; Liang, Hua; Li, Hongzhe; Wu, Hulin
2011
Sparse additive ordinary differential equations for dynamic gene regulatory network modeling. Zbl 1367.62221
Wu, Hulin; Lu, Tao; Xue, Hongqi; Liang, Hua
2014
Splitting extrapolations for solving boundary integral equations of linear elasticity Dirichlet problems on polygons by mechanical quadrature methods. Zbl 1098.74059
Huang, Jin; Lu, Tao
2006
The universal enveloping algebra $$U(\mathfrak{sl}_2\ltimes V_2)$$, its prime spectrum and a classification of its simple weight modules. Zbl 1396.17011
2018
Two synchronous parallel algorithms for partial differential equations. Zbl 0733.65079
Lu, Tao; Shih, Tsimin; Liem, Chinbo
1991
Multiplicative regression models with distortion measurement errors. Zbl 1452.62258
Zhang, Jun; Zhu, Junpeng; Zhou, Yan; Cui, Xia; Lu, Tao
2020
The prime spectrum and simple modules over the quantum spatial ageing algebra. Zbl 1410.17013
Bavula, V. V.; Lu, Tao
2016
Splitting extrapolation based on domain decomposition for finite element approximations. Zbl 0949.65120
Lü, Tao; Feng, Yong
1997
A multi-parameter splitting extrapolation and a parallel algorithm. Zbl 0895.65058
Zhou, Aihui; Liem, Chin-bo; Shih, Tsi-min; Lü, Tao
1997
The splitting extrapolation method for multidimensional problems. Zbl 0569.65017
Lin, Qun; Lü, Tao
1983
Classification of simple weight modules over the Schrödinger algebra. Zbl 1426.17005
Bavula, V. V.; Lu, Tao
2018
Mixed-effects state-space models for analysis of longitudinal dynamic systems. Zbl 1217.62180
Liu, Dacheng; Lu, Tao; Niu, Xu-Feng; Wu, Hulin
2011
A finite element splitting extrapolation for second order hyperbolic equations. Zbl 1205.65269
He, Xiaoming; Lü, Tao
2009
A splitting extrapolation for solving nonlinear elliptic equations with $$d$$-quadratic finite elements. Zbl 1159.65091
Cao, Yong; He, Xiaoming; Lü, Tao
2009
Splitting extrapolation method for solving second-order parabolic equations with curved boundaries by using domain decomposition and $$d$$-quadratic isoparametric finite elements. Zbl 1122.65084
He, Xiaoming; Lü, Tao
2007
The universal enveloping algebra of the Schrödinger algebra and its prime spectrum. Zbl 1472.17023
Bavula, V. V.; Lu, T.
2018
Bayesian structured variable selection in linear regression models. Zbl 1342.65065
Wang, Min; Sun, Xiaoqian; Lu, Tao
2015
Asymptotic expansions for finite element eigenvalues and finite element solution. Zbl 0549.65072
Lin, Qun; Lu, Tao
1984
Testing symmetry based on empirical likelihood. Zbl 07479825
Zhang, Jun; Zhang, Jing; Zhu, Xuehu; Lu, Tao
2018
A practical method for design of hybrid-type production facilities. Zbl 0946.90546
Harhalakis, G.; Lu, T.; Minis, I.; Nagi, R.
1996
An algorithm using the finite volume element method and its splitting extrapolation. Zbl 1218.65118
Cao, Yong; He, Xiaoming; Lü, Tao
2011
Modeling long-term longitudinal HIV dynamics with application to an AIDS clinical study. Zbl 1169.92026
Huang, Yangxin; Lu, Tao
2008
Prime ideals of the enveloping algebra of the Euclidean algebra and a classification of its simple weight modules. Zbl 1393.17023
Bavula, V. V.; Lu, T.
2017
Euler-Maclaurin expansions and approximations of hypersingular integrals. Zbl 1337.65022
Hu, Chaolang; He, Xiaoming; Lü, Tao
2015
Splitting extrapolation for solving second order elliptic systems with curved boundary in $${\mathfrak R}^d$$ by using $$d$$-quadratic isoparametric finite element. Zbl 0995.65113
Lü, Tao; Lu, Jing
2002
High accuracy combination algorithm and a posteriori error estimation for solving second kind Abel integral equations. Zbl 1059.65126
Lu, Tao; Huang, Yong
2004
Stochastic control via direct comparison. Zbl 1210.93081
Cao, Xi-Ren; Wang, De-Xin; Lu, Tao; Xu, Yifan
2011
The quantum Euclidean algebra and its prime spectrum. Zbl 1419.17020
Bavula, V. V.; Lu, T.
2017
Parallel algorithms for variational inequalities based on domain decomposition. Zbl 0786.49008
Lü, Tao; Liem, Chin-Bo; Shih, Tsi-Min
1991
Positive solutions of singular $$(k,n-k)$$ conjugate boundary value problem. Zbl 1354.34047
Kong, Lingbin; Lu, Tao
2015
Composite nonlinear feedback control for strict-feedback nonlinear systems with input saturation. Zbl 1421.93056
Lu, Tao; Lan, Weiyao
2019
High accuracy combination method for solving the systems of nonlinear Volterra integral and integro-differential equations with weakly singular kernels of the second kind. Zbl 1192.65163
Pan, Lu; He, Xiaoming; Lü, Tao
2010
Inventory competition with yield reliability improvement. Zbl 1310.90009
Lee, Chung-Yee; Lu, Tao
2015
Extrapolation for solving a system of weakly singular nonlinear Volterra integral equations of the second kind. Zbl 1258.65109
Han, Huilei; He, Xiaoming; Liu, Yaping; Lü, Tao
2011
The prime spectrum of the algebra $$\mathbb{K}_q[X,Y] \rtimes U_q(\mathfrak{sl}_2)$$ and a classification of simple weight modules. Zbl 1408.17003
2018
Correction and splitting extrapolation methods for the collocation solutions of two-point boundary value problems. Zbl 0636.65082
Lu, Tao
1987
The combination of approximate solutions for accelerating the convergence. Zbl 0544.65037
Lin, Qun; Lu, Tao
1984
Transient performance improvement in tracking control for a class of nonlinear systems with input saturation. Zbl 1390.93328
Lu, Tao; Lan, Weiyao; Li, Zhibin
2018
Quadrature methods with high accuracy and extrapolation for solving boundary integral equations of the first kind. Zbl 0949.65125
Lu, Tao; Huang, Jin
2000
A fourth order finite difference approximation to the eigenvalues of a clamped plate. Zbl 0686.73055
Lü, Tao; Liem, Chinbo; Shih, Tsimin
1988
High accuracy mechanical quadrature method for solving boundary integral equations. Zbl 1088.65587
Cheng, Pan; Huang, Jin; Wang, Qiandong; Lu, Tao
2004
An abstract error estimate for eigenvalue finite element approximation. Zbl 0923.65024
Yang, Yidu; Shih, Tsimin; Liem, Chinbo; Lü, Tao
1998
Investigate data dependency for dynamic gene regulatory network identification through high-dimensional differential equation approach. Zbl 1419.62402
Lu, Tao; Wang, Min
2016
Error estimates and high accuracy corrections of the approximate eigenvalues by the nine-point difference scheme on the $$L$$-shaped region. Zbl 1128.65094
Hu, Chaolang; Du, Shaohong; Lu, Tao
2004
Splitting extrapolations for solving boundary integral equations of mixed boundary conditions on polygons by mechanical quadrature methods. Zbl 1176.65142
Huang, Jin; Li, Zi Cai; Lü, Tao; Zhu, Rui
2008
Bayesian inference on longitudinal-survival data with multiple features. Zbl 1417.62320
Lu, Tao
2017
Parameter estimation of population pharmacokinetic models with stochastic differential equations: implementation of an estimation algorithm. Zbl 1426.62331
Yan, Fang-Rong; Zhang, Ping; Liu, Jun-Lin; Tao, Yu-Xi; Lin, Xiao; Lu, Tao; Lin, Jin-Guan
2014
Large-eddy simulations (LES) of temperature fluctuations in a mixing tee with/without a porous medium. Zbl 1197.80015
Lu, T.; Jiang, P. X.; Guo, Z. J.; Zhang, Y. W.; Li, H.
2010
Some nonlinear operator equations and their approximate solutions. Zbl 0524.65039
Lu, Tao
1982
Bayesian inference on partially linear mixed-effects joint models for longitudinal data with multiple features. Zbl 1417.62045
Huang, Yangxin; Lu, Tao
2017
Carrier portfolio management for shipping seasonal products. Zbl 1384.90093
Lu, Tao; Fransoo, Jan C.; Lee, Chung-Yee
2017
Dimension reduction based on conditional multiple index density function. Zbl 1404.62036
Zhang, Jun; He, Baohua; Lu, Tao; Wen, Songqiao
2018
A mass conservative lattice Boltzmann model for two-phase flows with moving contact lines at high density ratio. Zbl 1490.76215
Lu, Tao; Yang, Xuguang; Xiao, Fu; Wen, Tao
2019
Parallel algorithms for solving partial differential equations. Zbl 0678.65071
Lu, T.; Shih, T. M.; Liem, C. B.
1989
A projection iterative method for solving integral equations of the first kind and algebraic systems. Zbl 0582.65089
Lu, Tao; Lin, Qun
1984
Multiplicative regression models with distortion measurement errors. Zbl 1452.62258
Zhang, Jun; Zhu, Junpeng; Zhou, Yan; Cui, Xia; Lu, Tao
2020
Composite nonlinear feedback control for strict-feedback nonlinear systems with input saturation. Zbl 1421.93056
Lu, Tao; Lan, Weiyao
2019
A mass conservative lattice Boltzmann model for two-phase flows with moving contact lines at high density ratio. Zbl 1490.76215
Lu, Tao; Yang, Xuguang; Xiao, Fu; Wen, Tao
2019
The universal enveloping algebra $$U(\mathfrak{sl}_2\ltimes V_2)$$, its prime spectrum and a classification of its simple weight modules. Zbl 1396.17011
2018
Classification of simple weight modules over the Schrödinger algebra. Zbl 1426.17005
Bavula, V. V.; Lu, Tao
2018
The universal enveloping algebra of the Schrödinger algebra and its prime spectrum. Zbl 1472.17023
Bavula, V. V.; Lu, T.
2018
Testing symmetry based on empirical likelihood. Zbl 07479825
Zhang, Jun; Zhang, Jing; Zhu, Xuehu; Lu, Tao
2018
The prime spectrum of the algebra $$\mathbb{K}_q[X,Y] \rtimes U_q(\mathfrak{sl}_2)$$ and a classification of simple weight modules. Zbl 1408.17003
2018
Transient performance improvement in tracking control for a class of nonlinear systems with input saturation. Zbl 1390.93328
Lu, Tao; Lan, Weiyao; Li, Zhibin
2018
Dimension reduction based on conditional multiple index density function. Zbl 1404.62036
Zhang, Jun; He, Baohua; Lu, Tao; Wen, Songqiao
2018
Prime ideals of the enveloping algebra of the Euclidean algebra and a classification of its simple weight modules. Zbl 1393.17023
Bavula, V. V.; Lu, T.
2017
The quantum Euclidean algebra and its prime spectrum. Zbl 1419.17020
Bavula, V. V.; Lu, T.
2017
Bayesian inference on longitudinal-survival data with multiple features. Zbl 1417.62320
Lu, Tao
2017
Bayesian inference on partially linear mixed-effects joint models for longitudinal data with multiple features. Zbl 1417.62045
Huang, Yangxin; Lu, Tao
2017
Carrier portfolio management for shipping seasonal products. Zbl 1384.90093
Lu, Tao; Fransoo, Jan C.; Lee, Chung-Yee
2017
The prime spectrum and simple modules over the quantum spatial ageing algebra. Zbl 1410.17013
Bavula, V. V.; Lu, Tao
2016
Investigate data dependency for dynamic gene regulatory network identification through high-dimensional differential equation approach. Zbl 1419.62402
Lu, Tao; Wang, Min
2016
Bayesian structured variable selection in linear regression models. Zbl 1342.65065
Wang, Min; Sun, Xiaoqian; Lu, Tao
2015
Euler-Maclaurin expansions and approximations of hypersingular integrals. Zbl 1337.65022
Hu, Chaolang; He, Xiaoming; Lü, Tao
2015
Positive solutions of singular $$(k,n-k)$$ conjugate boundary value problem. Zbl 1354.34047
Kong, Lingbin; Lu, Tao
2015
Inventory competition with yield reliability improvement. Zbl 1310.90009
Lee, Chung-Yee; Lu, Tao
2015
Sparse additive ordinary differential equations for dynamic gene regulatory network modeling. Zbl 1367.62221
Wu, Hulin; Lu, Tao; Xue, Hongqi; Liang, Hua
2014
Parameter estimation of population pharmacokinetic models with stochastic differential equations: implementation of an estimation algorithm. Zbl 1426.62331
Yan, Fang-Rong; Zhang, Ping; Liu, Jun-Lin; Tao, Yu-Xi; Lin, Xiao; Lu, Tao; Lin, Jin-Guan
2014
High-dimensional ODEs coupled with mixed-effects modeling techniques for dynamic gene regulatory network identification. Zbl 1234.62146
Lu, Tao; Liang, Hua; Li, Hongzhe; Wu, Hulin
2011
Mixed-effects state-space models for analysis of longitudinal dynamic systems. Zbl 1217.62180
Liu, Dacheng; Lu, Tao; Niu, Xu-Feng; Wu, Hulin
2011
An algorithm using the finite volume element method and its splitting extrapolation. Zbl 1218.65118
Cao, Yong; He, Xiaoming; Lü, Tao
2011
Stochastic control via direct comparison. Zbl 1210.93081
Cao, Xi-Ren; Wang, De-Xin; Lu, Tao; Xu, Yifan
2011
Extrapolation for solving a system of weakly singular nonlinear Volterra integral equations of the second kind. Zbl 1258.65109
Han, Huilei; He, Xiaoming; Liu, Yaping; Lü, Tao
2011
High accuracy combination method for solving the systems of nonlinear Volterra integral and integro-differential equations with weakly singular kernels of the second kind. Zbl 1192.65163
Pan, Lu; He, Xiaoming; Lü, Tao
2010
Large-eddy simulations (LES) of temperature fluctuations in a mixing tee with/without a porous medium. Zbl 1197.80015
Lu, T.; Jiang, P. X.; Guo, Z. J.; Zhang, Y. W.; Li, H.
2010
Mechanical quadrature methods and their splitting extrapolations for boundary integral equations of first kind on open arcs. Zbl 1175.65142
Huang, Jin; Lü, Tao; Li, Zi Cai
2009
A finite element splitting extrapolation for second order hyperbolic equations. Zbl 1205.65269
He, Xiaoming; Lü, Tao
2009
A splitting extrapolation for solving nonlinear elliptic equations with $$d$$-quadratic finite elements. Zbl 1159.65091
Cao, Yong; He, Xiaoming; Lü, Tao
2009
Modeling long-term longitudinal HIV dynamics with application to an AIDS clinical study. Zbl 1169.92026
Huang, Yangxin; Lu, Tao
2008
Splitting extrapolations for solving boundary integral equations of mixed boundary conditions on polygons by mechanical quadrature methods. Zbl 1176.65142
Huang, Jin; Li, Zi Cai; Lü, Tao; Zhu, Rui
2008
Splitting extrapolation method for solving second-order parabolic equations with curved boundaries by using domain decomposition and $$d$$-quadratic isoparametric finite elements. Zbl 1122.65084
He, Xiaoming; Lü, Tao
2007
Splitting extrapolations for solving boundary integral equations of linear elasticity Dirichlet problems on polygons by mechanical quadrature methods. Zbl 1098.74059
Huang, Jin; Lu, Tao
2006
A generalization of Maclaurin’s inequalities and its application. Zbl 1087.26019
Pečarić, Josip; Wen, Jiajin; Wang, Wan-lan; Lu, Tao
2005
The mechanical quadrature methods and their extrapolation for solving BIE of Steklov eigenvalue problems. Zbl 1069.65123
Huang, Jin; Lü, Tao
2004
High accuracy combination algorithm and a posteriori error estimation for solving second kind Abel integral equations. Zbl 1059.65126
Lu, Tao; Huang, Yong
2004
High accuracy mechanical quadrature method for solving boundary integral equations. Zbl 1088.65587
Cheng, Pan; Huang, Jin; Wang, Qiandong; Lu, Tao
2004
Error estimates and high accuracy corrections of the approximate eigenvalues by the nine-point difference scheme on the $$L$$-shaped region. Zbl 1128.65094
Hu, Chaolang; Du, Shaohong; Lu, Tao
2004
Splitting extrapolation for solving second order elliptic systems with curved boundary in $${\mathfrak R}^d$$ by using $$d$$-quadratic isoparametric finite element. Zbl 0995.65113
Lü, Tao; Lu, Jing
2002
Quadrature methods with high accuracy and extrapolation for solving boundary integral equations of the first kind. Zbl 0949.65125
Lu, Tao; Huang, Jin
2000
An abstract error estimate for eigenvalue finite element approximation. Zbl 0923.65024
Yang, Yidu; Shih, Tsimin; Liem, Chinbo; Lü, Tao
1998
Splitting extrapolation based on domain decomposition for finite element approximations. Zbl 0949.65120
Lü, Tao; Feng, Yong
1997
A multi-parameter splitting extrapolation and a parallel algorithm. Zbl 0895.65058
Zhou, Aihui; Liem, Chin-bo; Shih, Tsi-min; Lü, Tao
1997
A practical method for design of hybrid-type production facilities. Zbl 0946.90546
Harhalakis, G.; Lu, T.; Minis, I.; Nagi, R.
1996
The splitting extrapolation method. A new technique in numerical solution of multidimensional problems. Zbl 0875.65002
Lü, Tao; Shih, T. M.; Liem, C. B.
1995
A parallel splitting-up method for partial differential equations and its applications to Navier-Stokes equations. Zbl 0756.65129
Lu, T.; Neittaanmäki, P.; Tai, X.-C.
1992
A parallel splitting up method and its application to Navier-Stokes equations. Zbl 0718.65066
Lu, T.; Neittaanmäki, P.; Tai, Xue-Cheng
1991
Two synchronous parallel algorithms for partial differential equations. Zbl 0733.65079
Lu, Tao; Shih, Tsimin; Liem, Chinbo
1991
Parallel algorithms for variational inequalities based on domain decomposition. Zbl 0786.49008
Lü, Tao; Liem, Chin-Bo; Shih, Tsi-Min
1991
Parallel algorithms for solving partial differential equations. Zbl 0678.65071
Lu, T.; Shih, T. M.; Liem, C. B.
1989
A fourth order finite difference approximation to the eigenvalues of a clamped plate. Zbl 0686.73055
Lü, Tao; Liem, Chinbo; Shih, Tsimin
1988
Correction and splitting extrapolation methods for the collocation solutions of two-point boundary value problems. Zbl 0636.65082
Lu, Tao
1987
Asymptotic expansions for finite element eigenvalues and finite element solution. Zbl 0549.65072
Lin, Qun; Lu, Tao
1984
The combination of approximate solutions for accelerating the convergence. Zbl 0544.65037
Lin, Qun; Lu, Tao
1984
A projection iterative method for solving integral equations of the first kind and algebraic systems. Zbl 0582.65089
Lu, Tao; Lin, Qun
1984
Maximum norm estimate, extrapolation and optimal points of stresses for the finite element methods on the strongly regular triangulation. Zbl 0563.65070
Lin, Qun; Lü, Tao; Shen, Shumin
1983
The splitting extrapolation method for multidimensional problems. Zbl 0569.65017
Lin, Qun; Lü, Tao
1983
Some nonlinear operator equations and their approximate solutions. Zbl 0524.65039
Lu, Tao
1982
all top 5

### Cited by 327 Authors

 21 Huang, Jin 20 Lu, Tao 13 Zhang, Jun 11 Bavula, Vladimir V. 11 He, Xiaoming 10 Wen, Jiajin 10 Yang, Yidu 8 Gai, Yujie 8 Yang, Danping 8 Zhang, Jiansong 7 Bi, Hai 7 Li, Hu 7 Li, Zi-Cai 7 Lin, Qun 6 Cheng, Pan 5 Cao, Jiguo 4 Gao, Chaobang 4 Hu, Hongling 4 Pan, Kejia 4 Tao, Lu 4 Wang, Zhu 4 Zeng, Guang 3 Cai, Yanan 3 Cao, Yong 3 Chen, Chuanmiao 3 Clairon, Quentin 3 Guo, Hui 3 Han, Tianyong 3 Huang, Hung-Tsai 3 Huang, Qiumei 3 Jia, Shanghui 3 Li, Qin 3 Liu, Yaping 3 Liu, Yuji 3 Lu, Jing 3 Tian, Maozai 3 Tian, Yuzhu 3 Wang, Liangliang 3 Weniger, Ernst Joachim 3 Wu, Hulin 3 Xie, Hehu 3 Zhang, Shuhua 2 Aliev, Rashid Avazaga 2 Boborykin, V. G. 2 Brunel, Nicolas J-B. 2 Cheng, Sui Sun 2 Costabile, Francesco Aldo 2 Coutinho, Sérgio 2 de Figueirêdo, Pedro Hugo 2 Fu, Hongfei 2 Gadjieva, Chinara A. 2 González, Ramón E. R. 2 Gualtieri, Maria Italia 2 Husmeier, Dirk 2 Lee, Ming-Gong 2 Li, Deli 2 Li, Hao 2 Li, Ming 2 Li, Sirui 2 Li, Yang 2 Liang, Hua 2 Lin, Yanping 2 Liu, Genqiang 2 Liu, Hongyan 2 Luo, Xin 2 Ma, Yanying 2 Macdonald, Benn 2 Mei, Liquan 2 Meng, Jian 2 Nanshan, Muye 2 Napoli, Anna 2 Pan, Yubin 2 Qiu, Xing 2 Sang, Peijun 2 Tang, Manlai 2 Wang, Liyong 2 Wang, Min 2 Wang, Wanlan 2 Wu, Shanhe 2 Yang, Yiping 2 Zhang, Nan 2 Zhang, Yu 2 Zheng, Zhoushun 2 Zhou, Jie 2 Zhu, Xuehu 1 Abanto-Valle, Carlos Antonio 1 Aghababa, Mohammad Pourmahmood 1 Akhmetgaliyev, Eldar 1 Arbeiter, Maximilian 1 Arellano-Valle, Reinaldo Boris 1 Babtie, Ann C. 1 Badea, Lori 1 Bai, Jinwei 1 Bekkert, Viktor 1 Berrut, Jean-Paul 1 Bhattacharjee, Atanu 1 Bhattacharya, Sourabh 1 Burger, D. M. 1 Caffo, Brian S. 1 Cao, Xiren ...and 227 more Authors
all top 5

### Cited in 107 Serials

 12 Journal of Computational and Applied Mathematics 12 Applied Numerical Mathematics 10 Communications in Statistics. Simulation and Computation 8 Computers & Mathematics with Applications 8 Applied Mathematics and Computation 8 Engineering Analysis with Boundary Elements 6 Journal of Statistical Computation and Simulation 6 Advances in Computational Mathematics 6 Mathematical Problems in Engineering 6 Science China. Mathematics 5 Applications of Mathematics 5 Computational Statistics and Data Analysis 5 Journal of Inequalities and Applications 4 Numerical Algorithms 4 International Journal of Computer Mathematics 4 Statistics and Computing 3 Journal of Computational Physics 3 Journal of the American Statistical Association 3 Computational Statistics 3 Journal of Applied Mathematics and Computing 2 Journal of the Franklin Institute 2 Journal of Mathematical Physics 2 Mathematical Biosciences 2 Physica A 2 Mathematics of Computation 2 Computing 2 Glasgow Mathematical Journal 2 Journal of Statistical Planning and Inference 2 Numerical Functional Analysis and Optimization 2 Numerical Methods for Partial Differential Equations 2 Journal of Scientific Computing 2 Statistical Papers 2 Numerical Linear Algebra with Applications 2 Journal of Lie Theory 2 Soft Computing 2 Journal of Systems Science and Complexity 2 Open Mathematics 1 Communications in Algebra 1 Computer Physics Communications 1 International Journal of Control 1 Israel Journal of Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Journal of Geometry and Physics 1 BIT 1 Calcolo 1 Canadian Mathematical Bulletin 1 Information Sciences 1 Journal of Algebra 1 Journal of Optimization Theory and Applications 1 Journal of Pure and Applied Algebra 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 RAIRO. Analyse Numérique 1 SIAM Journal on Control and Optimization 1 Mathematica Numerica Sinica 1 Systems & Control Letters 1 Statistics & Probability Letters 1 Journal of Time Series Analysis 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Statistics 1 Computers & Operations Research 1 Forum Mathematicum 1 Journal of Integral Equations and Applications 1 Science in China. Series A 1 Discrete Event Dynamic Systems 1 European Journal of Operational Research 1 Journal of Elasticity 1 Linear Algebra and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Fractals 1 Statistica Sinica 1 Complexity 1 Bernoulli 1 Science in China. Series E 1 Abstract and Applied Analysis 1 Mathematical Methods of Operations Research 1 Discrete Dynamics in Nature and Society 1 Journal of Applied Statistics 1 RAIRO. Operations Research 1 Brazilian Journal of Probability and Statistics 1 Mathematical Modelling and Analysis 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Algebra and Discrete Mathematics 1 International Journal of Computational Methods 1 Advances in Difference Equations 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Statistical Methodology 1 Mathematics in Computer Science 1 Journal of Noncommutative Geometry 1 Communications in Computational Physics 1 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 1 Tbilisi Mathematical Journal ...and 7 more Serials
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### Cited in 38 Fields

 119 Numerical analysis (65-XX) 49 Statistics (62-XX) 46 Partial differential equations (35-XX) 21 Integral equations (45-XX) 16 Nonassociative rings and algebras (17-XX) 13 Systems theory; control (93-XX) 12 Associative rings and algebras (16-XX) 11 Mechanics of deformable solids (74-XX) 11 Fluid mechanics (76-XX) 9 Real functions (26-XX) 9 Biology and other natural sciences (92-XX) 8 Ordinary differential equations (34-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Approximations and expansions (41-XX) 7 Operator theory (47-XX) 7 Operations research, mathematical programming (90-XX) 6 Probability theory and stochastic processes (60-XX) 5 Number theory (11-XX) 5 Computer science (68-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Combinatorics (05-XX) 3 Group theory and generalizations (20-XX) 3 Sequences, series, summability (40-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 $$K$$-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX)