## Lu, Tao

Compute Distance To:
 Author ID: lu.tao Published as: Lu, Tao; Lü, Tao; Lu, T.
 Documents Indexed: 154 Publications since 1979, including 3 Books Co-Authors: 97 Co-Authors with 133 Joint Publications 2,845 Co-Co-Authors
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### Co-Authors

 12 single-authored 14 Shih, Tsimin 12 He, Wei 12 Wang, Xijuan 11 Bavula, Vladimir V. 11 Lin, Qun 9 Huang, Jin 8 Wang, Min 7 He, Xiaoming 6 Liem, Chin-Bo 6 Liem, Chinbo 6 Shih, Tien-Mo 5 Wang, Di 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, 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, Shuo 1 Wang, Wanlan 1 Wang, Yue 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 Zhao, Guofu 1 Zhou, Guofu 1 Zhou, Yan 1 Zhu, Junpeng 1 Zhu, Ningjing ...and 4 more Co-Authors
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### Serials

 9 Journal of Sichuan University. Natural Science Edition 8 Journal of Computational Mathematics 7 Mathematica Numerica Sinica 5 Journal of Systems Science and Mathematical Sciences 5 Journal of Jiangsu Normal University. Natural Science Edition 4 Southeast Asian Bulletin of Mathematics 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 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 Mathematics in Practice and Theory 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 Communications in Statistics. Simulation and Computation 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

 78 Numerical analysis (65-XX) 41 Partial differential equations (35-XX) 23 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

58 Publications have been cited 366 times in 203 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
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
A generalization of Maclaurin’s inequalities and its application. Zbl 1087.26019
Pečarić, Josip; Wen, Jiajin; Wang, Wan-lan; Lu, Tao
2005
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
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
A multi-parameter splitting extrapolation and a parallel algorithm. Zbl 0895.65058
Zhou, Aihui; Liem, Chin-bo; Shih, Tsi-min; Lü, Tao
1997
Two synchronous parallel algorithms for partial differential equations. Zbl 0733.65079
Lu, Tao; Shih, Tsimin; Liem, Chinbo
1991
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
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
The splitting extrapolation method for multidimensional problems. Zbl 0569.65017
Lin, Qun; Lü, Tao
1983
A finite element splitting extrapolation for second order hyperbolic equations. Zbl 1205.65269
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
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 splitting extrapolation for solving nonlinear elliptic equations with $$d$$-quadratic finite elements. Zbl 1159.65091
Cao, Yong; He, Xiaoming; Lü, Tao
2009
Asymptotic expansions for finite element eigenvalues and finite element solution. Zbl 0549.65072
Lin, Qun; Lu, Tao
1984
The universal enveloping algebra of the Schrödinger algebra and its prime spectrum. Zbl 1472.17023
Bavula, V. V.; Lu, T.
2018
Classification of simple weight modules over the Schrödinger algebra. Zbl 1426.17005
Bavula, V. V.; Lu, Tao
2018
Bayesian structured variable selection in linear regression models. Zbl 1342.65065
Wang, Min; Sun, Xiaoqian; Lu, Tao
2015
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
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
Composite nonlinear feedback control for strict-feedback nonlinear systems with input saturation. Zbl 1421.93056
Lu, Tao; Lan, Weiyao
2019
Parallel algorithms for variational inequalities based on domain decomposition. Zbl 0786.49008
Lü, Tao; Liem, Chin-Bo; Shih, Tsi-Min
1991
Stochastic control via direct comparison. Zbl 1210.93081
Cao, Xi-Ren; Wang, De-Xin; Lu, Tao; Xu, Yifan
2011
Multiplicative regression models with distortion measurement errors. Zbl 1452.62258
Zhang, Jun; Zhu, Junpeng; Zhou, Yan; Cui, Xia; Lu, Tao
2020
The quantum Euclidean algebra and its prime spectrum. Zbl 1419.17020
Bavula, V. V.; Lu, T.
2017
Positive solutions of singular $$(k,n-k)$$ conjugate boundary value problem. Zbl 1354.34047
Kong, Lingbin; Lu, Tao
2015
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
Quadrature methods with high accuracy and extrapolation for solving boundary integral equations of the first kind. Zbl 0949.65125
Lu, Tao; Huang, Jin
2000
Inventory competition with yield reliability improvement. Zbl 1310.90009
Lee, Chung-Yee; Lu, Tao
2015
The combination of approximate solutions for accelerating the convergence. Zbl 0544.65037
Lin, Qun; Lu, Tao
1984
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
Correction and splitting extrapolation methods for the collocation solutions of two-point boundary value problems. Zbl 0636.65082
Lu, Tao
1987
A fourth order finite difference approximation to the eigenvalues of a clamped plate. Zbl 0686.73055
Lü, Tao; Liem, Chinbo; Shih, Tsimin
1988
Euler-Maclaurin expansions and approximations of hypersingular integrals. Zbl 1337.65022
Hu, Chaolang; He, Xiaoming; Lü, Tao
2015
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
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
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
Some nonlinear operator equations and their approximate solutions. Zbl 0524.65039
Lu, Tao
1982
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
A projection iterative method for solving integral equations of the first kind and algebraic systems. Zbl 0582.65089
Lu, Tao; Lin, Qun
1984
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
Carrier portfolio management for shipping seasonal products. Zbl 1384.90093
Lu, Tao; Fransoo, Jan C.; Lee, Chung-Yee
2017
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
High accuracy mechanical quadrature method for solving boundary integral equations. Zbl 1088.65587
Cheng, Pan; Huang, Jin; Wang, Qiandong; Lu, Tao
2004
Parallel algorithms for solving partial differential equations. Zbl 0678.65071
Lu, T.; Shih, T. M.; Liem, C. B.
1989
Bayesian inference on partially linear mixed-effects joint models for longitudinal data with multiple features. Zbl 1417.62045
Huang, Yangxin; Lu, Tao
2017
Investigate data dependency for dynamic gene regulatory network identification through high-dimensional differential equation approach. Zbl 1419.62402
Lu, Tao; Wang, Min
2016
A mass conservative lattice Boltzmann model for two-phase flows with moving contact lines at high density ratio. Zbl 07418050
Lu, Tao; Yang, Xuguang; Xiao, Fu; Wen, Tao
2019
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 07418050
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
The universal enveloping algebra of the Schrödinger algebra and its prime spectrum. Zbl 1472.17023
Bavula, V. V.; Lu, T.
2018
Classification of simple weight modules over the Schrödinger algebra. Zbl 1426.17005
Bavula, V. V.; 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
The quantum Euclidean algebra and its prime spectrum. Zbl 1419.17020
Bavula, V. V.; Lu, T.
2017
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
Carrier portfolio management for shipping seasonal products. Zbl 1384.90093
Lu, Tao; Fransoo, Jan C.; Lee, Chung-Yee
2017
Bayesian inference on partially linear mixed-effects joint models for longitudinal data with multiple features. Zbl 1417.62045
Huang, Yangxin; Lu, Tao
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
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
Euler-Maclaurin expansions and approximations of hypersingular integrals. Zbl 1337.65022
Hu, Chaolang; He, Xiaoming; Lü, 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
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
High accuracy mechanical quadrature method for solving boundary integral equations. Zbl 1088.65587
Cheng, Pan; Huang, Jin; Wang, Qiandong; 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
A multi-parameter splitting extrapolation and a parallel algorithm. Zbl 0895.65058
Zhou, Aihui; Liem, Chin-bo; Shih, Tsi-min; Lü, Tao
1997
Splitting extrapolation based on domain decomposition for finite element approximations. Zbl 0949.65120
Lü, Tao; Feng, Yong
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 293 Authors

 20 Huang, Jin 20 Lu, Tao 11 Bavula, Vladimir V. 11 He, Xiaoming 10 Wen, Jiajin 10 Yang, Yidu 8 Lin, Qun 8 Yang, Danping 8 Zhang, Jiansong 7 Bi, Hai 7 Li, Hu 7 Li, Zi-Cai 6 Cheng, Pan 4 Gao, Chaobang 4 Hu, Hongling 4 Pan, Kejia 4 Tao, Lu 4 Wang, Zhu 4 Zeng, Guang 3 Cao, Jiguo 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 Wang, Liangliang 3 Weniger, Ernst Joachim 3 Xie, Hehu 3 Zhang, Shuhua 2 Boborykin, V. G. 2 Brunel, Nicolas J-B. 2 Cai, Yanan 2 Cheng, Sui Sun 2 Costabile, Francesco Aldo 2 Coutinho, Sérgio 2 de Figueirêdo, Pedro Hugo 2 Fu, Hongfei 2 González, Ramón E. R. 2 Gualtieri, Maria Italia 2 Husmeier, Dirk 2 Lee, Ming-Gong 2 Li, Deli 2 Li, Hao 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 Napoli, Anna 2 Pan, Yubin 2 Ray, Sumita Saha 2 Sang, Peijun 2 Tian, Maozai 2 Tian, Yuzhu 2 Wang, Min 2 Wang, Wanlan 2 Wu, Hulin 2 Wu, Shanhe 2 Zhang, Yu 2 Zheng, Zhoushun 2 Zhou, Jie 1 Abanto-Valle, Carlos Antonio 1 Aghababa, Mohammad Pourmahmood 1 Akhmetgaliyev, Eldar 1 Aliev, Rashid Avazaga 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 1 Carvalho, Ana R. M. 1 Castro, Luis Mauricio 1 Chen, Chong 1 Chen, Gaojie 1 Chen, Hongtao 1 Chen, I-Lin 1 Chen, Jialei 1 Chen, Liu 1 Chen, Rong 1 Chen, Shyiming ...and 193 more Authors
all top 5

### Cited in 100 Serials

 12 Applied Numerical Mathematics 11 Journal of Computational and Applied Mathematics 8 Computers & Mathematics with Applications 8 Engineering Analysis with Boundary Elements 7 Applied Mathematics and Computation 7 Advances in Computational Mathematics 6 Mathematical Problems in Engineering 6 Science China. Mathematics 5 Applications of Mathematics 5 Journal of Inequalities and Applications 4 International Journal of Computer Mathematics 4 Journal of Statistical Computation and Simulation 4 Computational Statistics and Data Analysis 3 Journal of Computational Physics 3 Journal of the American Statistical Association 3 Numerical Algorithms 3 Computational Statistics 3 Journal of Applied Mathematics and Computing 3 Statistics and Computing 2 Journal of the Franklin Institute 2 Journal of Mathematical Physics 2 Mathematical Biosciences 2 Physica A 2 Mathematics of Computation 2 BIT 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 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 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 Proceedings of the American Mathematical Society 1 RAIRO. Analyse Numérique 1 SIAM Journal on Control and Optimization 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 Communications in Statistics. Simulation and Computation 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 Statistical Papers 1 Computational and Applied 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 Tbilisi Mathematical Journal 1 Advances in Applied Mathematics and Mechanics 1 Sankhyā. Series B 1 ISRN Mathematical Analysis 1 Communications in Mathematics and Statistics 1 Mathematical Sciences 1 Fractional Differential Calculus 1 SIAM/ASA Journal on Uncertainty Quantification
all top 5

### Cited in 37 Fields

 115 Numerical analysis (65-XX) 45 Partial differential equations (35-XX) 33 Statistics (62-XX) 19 Integral equations (45-XX) 14 Nonassociative rings and algebras (17-XX) 12 Associative rings and algebras (16-XX) 12 Systems theory; control (93-XX) 11 Mechanics of deformable solids (74-XX) 10 Fluid mechanics (76-XX) 8 Real functions (26-XX) 8 Ordinary differential equations (34-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Biology and other natural sciences (92-XX) 7 Operator theory (47-XX) 7 Operations research, mathematical programming (90-XX) 6 Approximations and expansions (41-XX) 6 Probability theory and stochastic processes (60-XX) 5 Computer science (68-XX) 4 Number theory (11-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Group theory and generalizations (20-XX) 3 Sequences, series, summability (40-XX) 2 Combinatorics (05-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 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)