# zbMATH — the first resource for mathematics

## Numerical Mathematics

### A Journal of Chinese Universities

 Short Title: Numer. Math., Nanjing Parallel Title: Gaodeng Xuexiao Jisuan Shuxue Xuebao Publisher: Nanjing University, Department of Mathematics, Nanjing ISSN: 1000-081X Comments: Indexed cover-to-cover
 Documents Indexed: 1,594 Publications (since 1979)
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#### Authors

 22 Dai, Hua 18 Chen, Shaochun 13 Xu, Zhong 12 Liu, Xinguo 12 Lu, Quan 11 Cao, Zhihao 11 Sun, Wenyu 11 You, Zhaoyong 11 Zhu, Gongqin 10 Chen, Chuanmiao 10 Li, Shoufu 10 Wang, Jiasong 10 Zhao, Shuangsuo 9 Cheng, Zhengxing 9 Cui, Minggen 9 Gu, Chuanqing 9 Guo, Ben-Yu 9 He, Bingsheng 9 Li, Hong 9 Wang, Deren 9 Wei, Musheng 8 Feng, Minfu 8 Jiang, Erxiong 8 Jiang, Zengrong 8 Li, Likang 8 Shen, Zuhe 8 Wang, Renhong 8 Wang, Xinghua 8 Xu, Chengxian 8 Zeng, Wenping 8 Zhang, Kecun 7 Lu, Tongxing 7 Shen, Shumin 7 Yang, Qingzhi 7 Zhang, Lei 7 Zhang, Tie 6 Chen, Guoliang 6 Hsu, Leetsch Charles 6 Li, Qian 6 Liao, Anping 6 Liu, Guoqing 6 Liu, Jianzhou 6 Liu, Yang 6 Ni, Qin 6 Ouyang, Zixiang 6 Rui, Hongxing 6 Sheng, Songbai 6 Tan, Jieqing 6 Wang, Guorong 6 Wu, Xinyuan 6 Xiang, Xinmin 6 Xiao, Aiguo 6 Yuan, Yirang 6 Yuan, Yongxin 6 Zhang, Kaiyuan 6 Zheng, Quan 5 Cheng, Lizhi 5 Dai, Peiliang 5 He, Siriguleng 5 Hu, Xiyan 5 Li, Yuesheng 5 Liu, Hao 5 Luo, Zhongxuan 5 Shi, Dongyang 5 Sun, Zhizhong 5 Wang, Zhengyu 5 Xu, Guiqiao 5 Xu, Mengjie 5 Xu, Shiying 5 Yang, Danping 5 Yang, Yidu 5 Yang, Zhonghua 5 Zhang, Liansheng 5 Zhu, Benren 5 Zhu, Qiding 5 Zhuang, Jiannan 4 Bai, Zhongzhi 4 Chen, Zhongwen 4 Chen, Zhongying 4 Cheng, Aijie 4 Deng, Naiyang 4 Fang, Ximing 4 Feng, Guochen 4 Gao, Yiming 4 Hu, Bing 4 Hu, Rizhang 4 Huang, Kaibin 4 Huang, Yunqing 4 Jiang, Zhaolin 4 Kuang, Jiaoxun 4 Li, Guangye 4 Li, Jicheng 4 Li, Ronghua 4 Li, Weiguo 4 Li, Xiaomei 4 Liang, Xuezhang 4 Liu, Huanwen 4 Liu, Sanyang 4 Liu, Yongping 4 Ma, Fuming ...and 1,605 more Authors
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#### Fields

 1,228 Numerical analysis (65-XX) 289 Partial differential equations (35-XX) 234 Operations research, mathematical programming (90-XX) 198 Linear and multilinear algebra; matrix theory (15-XX) 170 Approximations and expansions (41-XX) 95 Ordinary differential equations (34-XX) 73 Fluid mechanics (76-XX) 50 Operator theory (47-XX) 43 Calculus of variations and optimal control; optimization (49-XX) 38 Integral equations (45-XX) 36 Mechanics of deformable solids (74-XX) 33 Harmonic analysis on Euclidean spaces (42-XX) 27 Computer science (68-XX) 19 Functions of a complex variable (30-XX) 18 Systems theory; control (93-XX) 17 Combinatorics (05-XX) 15 Real functions (26-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Statistics (62-XX) 9 Probability theory and stochastic processes (60-XX) 9 Geophysics (86-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Functional analysis (46-XX) 7 Difference and functional equations (39-XX) 7 Optics, electromagnetic theory (78-XX) 6 Field theory and polynomials (12-XX) 4 Number theory (11-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Information and communication theory, circuits (94-XX) 3 Potential theory (31-XX) 3 Sequences, series, summability (40-XX) 3 Quantum theory (81-XX) 3 Biology and other natural sciences (92-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Mechanics of particles and systems (70-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

233 Publications have been cited 507 times in 448 Documents Cited by Year
Generalized difference methods for second order elliptic partial differential equations. I. Zbl 0584.65064
Li, Yunghua; Zhu, Piqi
1982
Generalized difference methods for second order elliptic partial differential equations. II. Zbl 0584.65065
Zhu, Piqi; Li, Ronghua
1982
Superconvergence of the finite element solutions and its derivatives. Zbl 0511.65080
Chen, Chuan-miao
1981
A generalized difference method for second order elliptic partial differential equations. Zbl 0734.65083
Tian, Mingzhong; Chen, Zhongying
1991
A quasi-Newton type trust region method based on the conic model. Zbl 0830.65058
Zhu, Meinfang; Xue, Yi; Zhang, Fengsheng
1995
A kind of improved Wilson arbitrary quadrilateral elements. Zbl 0811.65094
Shi, Dongyang; Chen, Shaochun
1994
Optimal points of the stresses for triangular linear element. Zbl 0534.73057
Chen, Chuan-miao
1980
Nonlinear stability of a class of multistep methods. Zbl 0637.65058
Li, Shoufu
1987
An iterative method for solving variational inequality problems and complementarity problems. Zbl 0817.65048
Sun, Defeng
1994
A global CGS algorithm for linear systems with multiple right-hand sides. Zbl 1199.65117
Zhang, Jianhua; Dai, Hua
2008
The dynamical behavior of the Ginzburg-Landau equation and its Fourier spectral approximation. Zbl 0962.65108
Lü, Shujuan
2000
Relationship between eigenvalues of Jacobi and SSOR iterative matrix with P-weak cyclic matrix. Zbl 0604.65014
Gong, Linguo; Cai, Dayong
1985
Optimal approximation of a real symmetric matrix pencil under spectral restriction. Zbl 0729.65031
Dai, Hua
1990
The positive definite solution of the matrix equation $$X+A^*X^{-n}A=I$$. Zbl 1065.15017
Liao, Anping
2004
Convergence and stability of a conservative finite difference scheme for a class of systems of equations in the interaction of a complex Schrödinger field and real Klein-Gordon field. Zbl 1011.65061
Zhang, Luming; Chang, Qianshun
2000
A filter trust-region method for unconstrained optimization. Zbl 1142.65364
Miao, Weihua; Sun, Wenyu
2007
Uniform superconvergence estimates of derivatives for the finite element method. Zbl 0549.65073
Zhu, Qiding
1983
A class of discontinuous functions and its global optimization problems. Zbl 0586.65048
Zheng, Quan
1985
The good points of the approximation solution for Galerkin method for two-point boundary problem. Zbl 0434.65058
Chen, Chuan-miao
1979
The minimum norm solutions of two classes of matrix equations. Zbl 1021.15010
Yuan, Yongxin
2002
Stationary points of the minimization reformulations of implicit complementarity problems. Zbl 1183.90430
Yuan, Quan; Yin, Hongyou
2009
On optimality conditions of global extremum problem. Zbl 0486.90072
Zheng, Quan
1981
The representation of the solution of a kind of operator equation $$Au=f$$. Zbl 0823.47011
Cui, Minggen; Yan, Yubin
1995
Best simultaneous approximation by RS-sets. Zbl 0773.41028
Li, Chong
1993
Thiele vector continued fraction expansion for two-variable functions and its approximation properties. Zbl 0788.65013
Gu, Chuanqing; Zhu, Gongqin
1993
One kind of inverse problems for symmetric and skew anti-symmetric matrices. Zbl 1046.15015
Peng, Zhenyun; Hu, Xiyan; Zhang, Lei
2003
On characteristic finite element methods with moving mesh for nonlinear convection diffusion problems. Zbl 0618.65101
Yuan, Yirang
1986
Galerkin methods for the nonlinear coupled problems. Zbl 0496.73013
Liu, Jinglun
1982
Inverse eigenvalue problems for Jacobian and symmetric tridiagonal matrices. Zbl 0718.65026
Dai, Hua
1990
Asynchronous parallel matrix multisplitting block relaxation iteration methods. Zbl 0883.65023
Bai, Zhongzhi
1997
ADI Galerkin method for some nonlinear coupled problems of hyperbolic and parabolic equations. Zbl 0992.65106
Cui, Xia
2001
The weighted Drazin inverse of a linear operator on Banach spaces and its approximation. Zbl 0565.47001
Qiao, Sanzheng
1981
Column-update quasi-Newton method. Zbl 0572.65036
Feng, Guocheng; Li, Guangye
1983
Extended locally one-dimensional finite difference and finite element schemes for nonhomogeneous parabolic differential equations with nonhomogeneous boundary conditions. Zbl 1115.65357
Wang, Caihua; Wang, Tongke
2006
Monotone iterative method for a class of nonlinear second-order three-point boundary value problems. Zbl 1046.65061
Yao, Qingliu
2003
Sufficient conditions for generalized diagonally dominant matrices. Zbl 0902.15016
Sun, Yuxiang
1997
Algebraic relationships of block downdating and updating least squares problems. Zbl 0867.65014
Yuan, Jinyun; de Sampaio, R. J. B.; Sun, Wenyu
1996
Finite difference-streamline diffusion method for quasi-linear Sobolev equations. Zbl 0995.65095
Sun, Tongjun; Ma, Keyin
2001
Perturbation bounds of eigenvalues of symmetrizable matrices. Zbl 0805.15014
Lu, Tongxing
1994
Generalized Farkas lemma and optimality conditions for nonconvex semidefinite programming. Zbl 1174.90735
Li, Chengjin; Sun, Wenyu
2008
An expanded mixed covolume method for the linear integro-differential equation of parabolic type. Zbl 1212.65536
Zhu, Ailing; Jiang, Ziwen; Xu, Qiang
2009
Time fractional diffusion-reaction equation. Zbl 1099.35502
Lu, Xuanzhu; Liu, Fawang
2005
The symmetric ortho-symmetric solution of linear matrix equation $$A^TXA= B$$ and its optimal approximation. Zbl 1055.15023
Peng, Yaxin; Hu, Xiyan; Zhang, Lei
2003
The numerical differentiation of first and second order with Tikhonov regularization. Zbl 1055.65036
Lu, Shuai; Wang, Yanbo
2004
On the unified determination of the convergence of Newton’s method and its deformations. Zbl 0951.65053
Wang, Xinghua; Guo, Xueping
1999
The attainable order of the collocation method for double-pantograph delay differential equations. Zbl 1100.65061
Zhao, Jingjun; Xu, Yang; Qiao, Yulong
2005
A stabilized characteristic finite-element methods for the non-stationary Navier-Stokes equation. Zbl 1150.76436
Chen, Yumei; Luo, Yan; Feng, Minfu
2007
A high accurate and conservative difference scheme for the solutions of nonlinear Schrödinger equations. Zbl 1340.65166
Cui, Jin; Sun, Zhizhong; Wu, Hongwei
2015
Interval algorithms for a class of nonsmooth optimization problems. Zbl 0922.65047
Cao, Dexin; Shen, Zuhe
1998
Leap-frog schemes of Hamiltonian systems for the Schrödinger equation of high order. Zbl 0847.65063
Zeng, Wenping
1995
Broyden family of collinear scaling algorithm for unconstrained optimization. Zbl 0759.65037
Xu, Huifu; Sheng, Songbai
1991
A two-grid method with backtracking technique for the Navier-Stokes equations. Zbl 1119.65420
Ren, Chunfeng; Ma, Yichen; Ying, Genjun
2003
On convergence of the Jacobi, the Gauss-Seidel, the SOR, and the AOR iteration methods. Zbl 0596.65020
Zeng, Wenping
1985
Parallel Halley iteration method with circular arithmetic for finding all zeros of a polynomial. Zbl 0604.65026
Wang, Xinghua; Zheng, Shiming
1985
Penalty factors in penalty function method for stationary Navier-Stokes equations. Zbl 0616.76036
Wu, Songping
1986
The convergence of the AOR iterative method, SOR iterative method and JOR iterative method. Zbl 0623.65036
Song, Yongzhong
1987
The representation and approximation for Drazin inverses of linear operators. Zbl 0504.47002
Kuang, Jiaoxun
1982
Generalized Rayleigh quotient matrix and block algorithm for solving large sparse symmetric generalized eigenvalue problems. Zbl 0534.65013
Cao, Zhihao
1983
Necessary and sufficient conditions for the uniform boundedness of the family of 2$$\times 2$$ matrices $$G^ n(K,\Delta t)$$ and their application to the stability of difference methods. Zbl 0537.65065
Ma, Siliang
1980
Conic model algorithms for nonlinear least-squares problems. Zbl 0830.65055
Han, Qiaoming; Sheng, Songbai
1995
Improvement of stability and convergence for the Douglas scheme in two space variables. Zbl 0920.65056
Cheng, Aijie
1998
Convergence rates of regularized solutions and parameter choice strategy for semi-positive definite operator equations. Zbl 0920.65036
Yang, Hongqi; Hou, Zongyi
1998
Theory of numerical linear dependence and its applications. Zbl 0425.65027
He, Xu-chu
1979
Block estimation of the spectral radius of a matrix. Zbl 0432.65021
You, Zhao-yong
1979
Variational principle and numerical analysis of generalized difference method for biharmonic equation. Zbl 0786.65084
Chen, Zhongying
1993
The exact solution of a second kind Volterra integral equation. Zbl 0795.45002
Yan, Yubin; Cui, Minggen
1993
Convergence of the Fletcher-Reeves method under a generalized Wolfe search. Zbl 0865.65045
Dai, Yuhong; Yuan, Yaxiang
1996
Dissipativity of general linear methods. Zbl 0863.65041
Xiao, Aiguo
1996
The Jordan canonical form of a real random matrix. Zbl 0992.15008
Zhang, Zhinan
2001
The computation of hypersingular integrals on circle and its error estimates. Zbl 0816.65009
Yu, Dehao
1994
A new trust region algorithm with conic model. Zbl 1174.65425
Wu, Haiping; Ni, Qin
2008
A polynomial predictor-corrector interior-point algorithm for a class convex programming. Zbl 1095.65054
Yu, Qian; Huang, Chongchao; Wang, Xianjia
2005
Determinate conditions of generalized strictly diagonally dominant matrices. Zbl 0939.15014
Li, Qingchun
1999
Theory and application of numerical simulation in the sources of energy. Zbl 0974.76597
Yuan, Yirang
1999
Discretization of the coupling for nonlinear parabolic equation and its error analysis. Zbl 0960.65109
Du, Qikui; Yu, Dehao
2000
Shannon wavelet method of natural boundary element of harmonic equation. Zbl 0992.65133
Chen, Wensheng; Zhang, Yonghu
2001
A second order $$L_\infty$$ convergent difference scheme for linear hyperbolic equation with derivative boundary conditions. Zbl 1029.65097
Wang, Zhengsu
2002
On the representation of $$A^+$$, $$A_{MN}^+$$ and its applications. Zbl 1025.15007
Cai, Jing; Chen, Guoliang
2002
Inverse eigenvalue problem for real symmetric five-diagonal matrix. Zbl 1028.65033
Wang, Zhengsheng
2002
The generalized difference method for second order equations of elliptic type. Zbl 0572.65079
Xiang, Xinmin
1983
$$\alpha$$-diagonally dominant and criteria for generalized strictly diagonally dominant matrices. Zbl 1199.15097
Zhang, Yuelang; Mo, Hongmin; Liu, Jianzhou
2009
Pseudospectral method for a class of systems of LS wave interactions. Zbl 0739.65087
Zhang, Fayong; Xiang, Xinmin
1990
Modified ABS methods for nonlinear systems without evaluating Jacobian matrices. Zbl 0737.65041
Huang, Zhijian
1991
On mixed mesh finite elements for solving the stationary Stokes problem. Zbl 0758.76034
Zhang, Tie
1992
The numerical differentiation of scattered data and its error estimate. Zbl 1047.65013
Jia, Xianzheng; Wang, Yanbo; Cheng, Jin
2003
EC-tractability of general multivariate linear problems. Zbl 1389.41049
Liu, Yongping; Xu, Guiqiao
2016
Tractability of Korobov space in the average case setting. Zbl 1374.41038
Xiong, Liyan; Xu, Guiqiao
2016
Partially orthogonal projection method and its variations for solving polynomial eigenvalue problem. Zbl 1374.65054
Wei, Wei; Dai, Hua
2016
Some features of Fourier spectrum for symbolic sequences. Zbl 1289.42015
Wang, Jiasong; Liu, Guoqing; Zhao, Jian
2012
Necessary and sufficient conditions for a polynomial of degree 3 or 4 with real coefficients to be a von Neumann polynomial. Zbl 0553.65026
Ma, Siliang; Xu, Zhenyin
1984
A note on estimates for the eigenvalues of the preconditioned generalized saddle point matrix. Zbl 1289.65075
Cao, Yang; Jiang, Meiqun; Zheng, Yinglong
2013
Characterizations of matrices having equal spectral radius and the maximum row sum matrix norm. Zbl 1299.15028
Chen, Shencan
2013
Conservative Crank-Nicolson difference scheme for Rosenau-KdV equation. Zbl 1349.65302
Hu, Jinsong; Xie, Xiaoping; Hu, Bing; Xu, youcai
2015
An immersed Crouzeix-Raviart finite element method for anisotropic flow models in porous media. Zbl 1363.76033
An, Na; Chen, Huanzhen; Yu, Xijun; Huang, Chaobao
2016
A revised mixed element method for quasi-Newtonian flow obeying power law. Zbl 0953.76538
Zhou, Lei; Zhou, Tianxiao
1998
The mixed-type inverse problems of a normal Jacobi matrix. Zbl 0923.65014
Huang, Xiantong; Zhang, Runzhen
1998
Representation of multiple Broyden’s updating matrix and multiple version of Broyden’s method with limited storage. Zbl 0921.65043
Gu, Guiding; Wang, Deren
1998
A nonlinear iterative method for solving nonlinear equation. Zbl 0845.65019
Wu, Zhonglin; Wu, Xinyuan
1995
The application of high accuracy method in the analysis of concrete faced rockfilled dams. Zbl 0847.73059
Chen, Chuanmiao; Huang, Yunqing; Shu, Shi; Jin, Jicheng
1995
Convergence of iterative methods in G/L-S-finite element approximation of the Navier-Stokes equations. Zbl 0846.76052
Zhou, Tianxiao; Feng, Minfu
1995
Equivalence between quaternion equality constrained least squares problem and quaternion KKT equation. Zbl 1449.65095
Zhang, Yanzhen; Li, Ying; Zhao, Jianli; Wang, Gang
2019
The randomized Kaczmarz method with a new random selection rule. Zbl 1413.65116
Guo, Junhan; Li, Weiguo
2018
Spectral projected gradient method for computing tensor $$M$$-eigenvalues. Zbl 1399.15018
Zhao, Na
2017
On the convergence properties of alternating direction method of multipliers. Zbl 1389.90255
He, Bingsheng
2017
EC-tractability of general multivariate linear problems. Zbl 1389.41049
Liu, Yongping; Xu, Guiqiao
2016
Tractability of Korobov space in the average case setting. Zbl 1374.41038
Xiong, Liyan; Xu, Guiqiao
2016
Partially orthogonal projection method and its variations for solving polynomial eigenvalue problem. Zbl 1374.65054
Wei, Wei; Dai, Hua
2016
An immersed Crouzeix-Raviart finite element method for anisotropic flow models in porous media. Zbl 1363.76033
An, Na; Chen, Huanzhen; Yu, Xijun; Huang, Chaobao
2016
Iterative criteria for generalized strictly diagonally dominant matrices. Zbl 1413.65160
Zhang, Wanzhi; Xu, Zhong; Lu, Quan; Zhang, Xiao
2016
A new nonmonotone BB-TR method based on simple conic model for large scale unconstrained optimization. Zbl 1374.65107
Zhu, Xueting; Xi, Min; Sun, Wenyu; de Sampaio, Raimundo J. B.
2016
A high accurate and conservative difference scheme for the solutions of nonlinear Schrödinger equations. Zbl 1340.65166
Cui, Jin; Sun, Zhizhong; Wu, Hongwei
2015
Conservative Crank-Nicolson difference scheme for Rosenau-KdV equation. Zbl 1349.65302
Hu, Jinsong; Xie, Xiaoping; Hu, Bing; Xu, youcai
2015
A note on estimates for the eigenvalues of the preconditioned generalized saddle point matrix. Zbl 1289.65075
Cao, Yang; Jiang, Meiqun; Zheng, Yinglong
2013
Characterizations of matrices having equal spectral radius and the maximum row sum matrix norm. Zbl 1299.15028
Chen, Shencan
2013
Some features of Fourier spectrum for symbolic sequences. Zbl 1289.42015
Wang, Jiasong; Liu, Guoqing; Zhao, Jian
2012
Convergence analysis of implicit full discretization for the epitaxial growth model of thin films. Zbl 1274.65261
Xia, Xi; Chen, Wenbin; Liu, Jianguo
2012
A conservative finite difference scheme for the Camassa-Holm equation. Zbl 1274.65233
Chang, Hong
2012
Lanczos’ method for numerical differentiation of the first and second order. Zbl 1274.65067
Wang, Zewen; Wen, Rongsheng
2012
Generalized inverse eigenvalue problems for reflexive and anti-reflexive matrices. Zbl 1289.65088
Gao, Yanqun; Wei, Ping; Zhang, Zhongzhi; Xie, Dongxiu
2012
A method to calculate the characteristic polynomials of a graph on $$n$$ vertices by the aid of a computer. Zbl 1289.05303
Liu, Muhuo; Liu, Bolian
2012
An efficient and fast algorithm for the inverse of the generalized Vandermonde matrix. Zbl 1265.65047
Zhao, Liangdong; Xu, Zhong; Lu, Quan
2011
A new nonmonotone optimization method with trust region and second-order line search. Zbl 1240.65182
Chen, Yannan; Sun, Wenyu
2010
Error estimates of $$H^1$$-Galerkin mixed finite element methods for pseudo-hyperbolic partial integro-differential equation. Zbl 1224.65304
Liu, Yang; Li, Hong; He, Siriguleng
2010
Mean convergence of derivatives by Lagrange interpolation. Zbl 1224.41004
Du, Yingfang; Xu, Guiqiao
2010
Stationary points of the minimization reformulations of implicit complementarity problems. Zbl 1183.90430
Yuan, Quan; Yin, Hongyou
2009
An expanded mixed covolume method for the linear integro-differential equation of parabolic type. Zbl 1212.65536
Zhu, Ailing; Jiang, Ziwen; Xu, Qiang
2009
$$\alpha$$-diagonally dominant and criteria for generalized strictly diagonally dominant matrices. Zbl 1199.15097
Zhang, Yuelang; Mo, Hongmin; Liu, Jianzhou
2009
Higher accuracy analysis for the Wilson element to Sobolev type equation on anisotropic meshes. Zbl 1199.65371
Shi, Dongyang; Ren, Jincheng; Hao, Xiaobin
2009
Optimal matrix approximation in finite element model updating. Zbl 1199.65153
Yuan, Quan; Dai, Hua
2009
A global CGS algorithm for linear systems with multiple right-hand sides. Zbl 1199.65117
Zhang, Jianhua; Dai, Hua
2008
Generalized Farkas lemma and optimality conditions for nonconvex semidefinite programming. Zbl 1174.90735
Li, Chengjin; Sun, Wenyu
2008
A new trust region algorithm with conic model. Zbl 1174.65425
Wu, Haiping; Ni, Qin
2008
Multistep characteristic finite element method for seawater intrusion problem. Zbl 1195.76260
Long, Xiaohan; Li, Yanxi
2008
The spectrum property of periodic Jacobi matrices. Zbl 1199.15106
Zhang, Lipu; Xu, Yinghong
2008
Expanded mixed finite element method for a kind of two-order linear parabolic differential equation. Zbl 1174.65491
Liu, Yang; Li, Hong; Wen, Zongchuan
2008
A linearization method for global optimal solution of quadratic programming problem with nonconvex quadratic constraints. Zbl 1174.65421
Shen, Peiping; Liu, Limin
2008
The Hermitian positive definite solution of matrix equation $$X+A^*X^{-q}A=Q$$ $$(q\geq 1)$$ and its perturbation analysis. Zbl 1174.15338
Duan, Xuefeng; Liao, Anping
2008
A filter trust-region method for unconstrained optimization. Zbl 1142.65364
Miao, Weihua; Sun, Wenyu
2007
A stabilized characteristic finite-element methods for the non-stationary Navier-Stokes equation. Zbl 1150.76436
Chen, Yumei; Luo, Yan; Feng, Minfu
2007
A multiscale method for solving ill-posed problems. Zbl 1142.65358
Song, Lihong; Chen, Zhongying
2007
$$H^1$$-norm error estimate of the characteristics-finite volume element method for a class of semi-linear convection diffusion problems. Zbl 1142.65410
Zhang, Yang
2007
Extended locally one-dimensional finite difference and finite element schemes for nonhomogeneous parabolic differential equations with nonhomogeneous boundary conditions. Zbl 1115.65357
Wang, Caihua; Wang, Tongke
2006
Asymptotic stability of linear $$\theta$$-methods for nonlinear neutral delay differential equations. Zbl 1115.65349
Yu, Yuexin; Wen, Liping; Li, Shoufu
2006
A regularized semismooth Newton method for solving box constrained variational inequalities with $$P_0$$-function. Zbl 1115.65339
Liu, Shuixia; Chen, Guoqing
2006
New quadratic PE$$_k$$ method for solving a system of linear algebraic equations. Zbl 1115.65319
Ren, Shuili; Zhang, Kaiyuan; Ye, Zhenglin
2006
General forms for Moore-Penrose inverses of real symmetric matrix under the congruence decomposition condition. Zbl 1115.15301
He, Chuning
2006
Solving Helmholtz equation in an exterior circular domain. Zbl 1115.65378
Guan, Xiaoming; Lin, Wei
2006
Forward roundoff error analysis of the LU and Cholesky factorizations. Zbl 1115.65318
Liu, Qiaohua; Wei, Musheng
2006
Time fractional diffusion-reaction equation. Zbl 1099.35502
Lu, Xuanzhu; Liu, Fawang
2005
The attainable order of the collocation method for double-pantograph delay differential equations. Zbl 1100.65061
Zhao, Jingjun; Xu, Yang; Qiao, Yulong
2005
A polynomial predictor-corrector interior-point algorithm for a class convex programming. Zbl 1095.65054
Yu, Qian; Huang, Chongchao; Wang, Xianjia
2005
$$P$$-stability of continuous Runge-Kutta-Nyström method for a class of delayed second order differential equation. Zbl 1095.65073
Ding, Xiaohua; Zou, Jinying; Liu, Mingzhu
2005
Varied steplength nonmonotone pattern search method. Zbl 1095.65053
Yang, Chun; Ni, Qin
2005
Convergence of the family of the deformed Euler-Halley iterations with parameters under the Hölder condition of the derivative. Zbl 1095.65049
Luo, Xianfa; Ye, Xintao
2005
The least squares solution with the minimum norm of matrix equation $$A^TXB+ B^TX^TA=D$$. Zbl 1095.65039
Yuan, Yongxin; Dai, Hua
2005
Least-squares Galerkin procedurs for convection-dominated Sobolev equations. Zbl 1100.65078
Hui, Guo
2005
The positive definite solution of the matrix equation $$X+A^*X^{-n}A=I$$. Zbl 1065.15017
Liao, Anping
2004
The numerical differentiation of first and second order with Tikhonov regularization. Zbl 1055.65036
Lu, Shuai; Wang, Yanbo
2004
A new kind of characteristic-difference scheme for convection-diffusion equations. Zbl 1057.65053
Qin, Xinqiang; Ma, Yichen
2004
Superconvergence in continuous finite elements for initial value problem of ordinary differential equation. Zbl 1056.65075
Yan, Luyuan; Tang, Qiong
2004
Contractivity of linear multistep methods for solution of delay differential equations with variable delays. Zbl 1069.65081
Wang, Wansheng; Li, Shoufu
2004
A class of inverse problems of matrix equation $$X^T AX=B$$. Zbl 1065.15016
Guo, Cuiping; Hu, Xiyan; Zhang, Lei
2004
Quadratic finite volume element methods for nonlinear parabolic equations. Zbl 1067.65104
Yang, Min
2004
A refined residual iteration method. Zbl 1073.65030
Jia, Zhongxiao; Sun, Yuquan
2004
A new multiplier method for solving linear complementarity problems. Zbl 1065.65079
Ulji; Chen, Guoqing
2004
Some criteria for generalized strictly diagonally dominant matrices and $$M$$-matrices. Zbl 1102.15020
Song, Qiankun
2004
One kind of inverse problems for symmetric and skew anti-symmetric matrices. Zbl 1046.15015
Peng, Zhenyun; Hu, Xiyan; Zhang, Lei
2003
Monotone iterative method for a class of nonlinear second-order three-point boundary value problems. Zbl 1046.65061
Yao, Qingliu
2003
The symmetric ortho-symmetric solution of linear matrix equation $$A^TXA= B$$ and its optimal approximation. Zbl 1055.15023
Peng, Yaxin; Hu, Xiyan; Zhang, Lei
2003
A two-grid method with backtracking technique for the Navier-Stokes equations. Zbl 1119.65420
Ren, Chunfeng; Ma, Yichen; Ying, Genjun
2003
The numerical differentiation of scattered data and its error estimate. Zbl 1047.65013
Jia, Xianzheng; Wang, Yanbo; Cheng, Jin
2003
Simultaneous approximation for Baskakov-type operators. Zbl 1057.41015
Guo, Shunsheng; Lü, Guiwen; Zhang, Gengsheng
2003
The minimum norm solutions of two classes of matrix equations. Zbl 1021.15010
Yuan, Yongxin
2002
A second order $$L_\infty$$ convergent difference scheme for linear hyperbolic equation with derivative boundary conditions. Zbl 1029.65097
Wang, Zhengsu
2002
On the representation of $$A^+$$, $$A_{MN}^+$$ and its applications. Zbl 1025.15007
Cai, Jing; Chen, Guoliang
2002
Inverse eigenvalue problem for real symmetric five-diagonal matrix. Zbl 1028.65033
Wang, Zhengsheng
2002
The Galerkin finite element method for Bingham-fluid. Zbl 1112.76386
Dai, Peiliang
2002
Construction of non-tensor product semi-orthogonal wavelet bases with continuity in $$\langle I \rangle$$ triangular partition. Zbl 1003.65153
Yu, Haiyuan; Shu, Shi; Zhu, Shaoming
2002
A descent property of implicit method for monotone variational inequality. Zbl 1003.65071
Sun, Xiuzhen
2002
Potential-reduction interior-point algorithm for convex quadratic programming problems. Zbl 1005.65060
Liang, Ximing
2002
Mixed finite element method-Galerkin alternating direction finite element method for nonstationary conduction convection problems. Zbl 1023.65105
Cui, Ming
2002
Interval method for global solutions of continuous minimax problem. Zbl 1025.65032
Cao, Dexin; Li, Subei; Wu, Yanqiang; Zhang, Hongbin
2002
ADI Galerkin method for some nonlinear coupled problems of hyperbolic and parabolic equations. Zbl 0992.65106
Cui, Xia
2001
Finite difference-streamline diffusion method for quasi-linear Sobolev equations. Zbl 0995.65095
Sun, Tongjun; Ma, Keyin
2001
The Jordan canonical form of a real random matrix. Zbl 0992.15008
Zhang, Zhinan
2001
Shannon wavelet method of natural boundary element of harmonic equation. Zbl 0992.65133
Chen, Wensheng; Zhang, Yonghu
2001
Some properties about crossing cut. Zbl 1005.41001
Xu, Zhiqiang; Wang, Renhong
2001
Brown-Broyden update algorithm. Zbl 1001.65048
Wang, Deren; Wang, Xinli
2001
An iteration method of finding the roots of algebraic equation without repeated root. Zbl 0987.65041
Zhang, Zhihai; Tian, Linggai
2001
The smoothing method for finding the largest eigenvalue of nonnegative matrices. Zbl 0992.65029
Zhang, Fengxiang
2001
The dynamical behavior of the Ginzburg-Landau equation and its Fourier spectral approximation. Zbl 0962.65108
Lü, Shujuan
2000
Convergence and stability of a conservative finite difference scheme for a class of systems of equations in the interaction of a complex Schrödinger field and real Klein-Gordon field. Zbl 1011.65061
Zhang, Luming; Chang, Qianshun
2000
Discretization of the coupling for nonlinear parabolic equation and its error analysis. Zbl 0960.65109
Du, Qikui; Yu, Dehao
2000
The wavelet method for solving singular integral equations with Hilbert kernel. Zbl 0960.65142
Xu, Changfa; Yao, Yifong
2000
Iterative method of exponential descent with superlinear convergence. Zbl 0960.65057
Wu, Xinyuan; Wu, Zhonglin
2000
Recurrence sequences and higher order multivariable Euler-Bernoulli polynomials. Zbl 1056.11500
Liu, Guodong
2000
A group explicit method of Saul’ev type for solving diffusion-convection equation. Zbl 0962.65074
Zeng, Wenping
2000
On strong pseudoconvexity and strong pseudomonotonicity. Zbl 0955.46010
Yang, Yimin
2000
Finite element methods for an initial-boundary value problem of neutral time delay parabolic equations. Zbl 1011.65072
Jiang, Ziwen
2000
Global convergence properties of two classes of optimal algorithms constrained by the FR conjugate gradient method. Zbl 1011.65032
Du, Xuewu; Xu, Chengxian
2000
...and 133 more Documents
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#### Cited by 624 Authors

 13 Liao, Anping 12 Shi, Dongyang 11 Li, Shoufu 10 Dai, Hua 9 Li, Jian 9 Wen, Liping 8 Sun, Wenyu 8 Zheng, Quan 6 Duan, Xuefeng 6 He, Yinnian 6 Li, Yonghai 6 Lu, Shujuan 5 Chen, Zhangxin 5 Feng, Xinlong 5 Galperin, Efim A. 5 Gu, Chuanqing 5 Hadjidimos, Apostolos 5 Lei, Yuan 5 Li, Chong 5 Ni, Qin 5 Wang, Wansheng 5 Wu, Jiming 5 Yu, Yuexin 5 Yuan, Shifang 5 Zou, Qingsong 4 Bai, Zhongzhi 4 Chen, Chuanmiao 4 Chen, Guoliang 4 Chen, Zhongying 4 Cui, Xia 4 Křížek, Michal 4 Li, Kaitai 4 Qin, Jinggang 4 Wang, Tongke 4 Wei, Yimin 4 Xiu, Naihua 4 Yao, Guozhu 4 Yuan, Yirang 4 Zhang, Jianzhong 4 Zhang, Luming 4 Zhao, Xin 4 Zhu, Honglan 3 Brunner, Hermann 3 Chen, Zhong 3 Cui, Minggen 3 He, Wenming 3 Hu, Xiyan 3 Huang, Yunqing 3 Jia, Hongen 3 Li, Rencang 3 Lu, Hong 3 Lu, Qishao 3 Ma, Mingshu 3 Neumann, Michael 3 Qiu, Shufang 3 Rui, Hongxing 3 Sun, Tongjun 3 Toutounian, Faezeh 3 Wang, Deren 3 Wang, Zewen 3 Xiong, Zhiguang 3 Xu, Yuesheng 3 Yang, Daoqi 3 Yuan, Quan 3 Yuan, Yongxin 3 Yue, Jingyan 3 Zhang, Jianhua 3 Zhang, Jiansong 3 Zhang, Mingji 3 Zhang, Zhimin 3 Zheng, Bing 3 Zheng, Hua 3 Zhu, Jiang 2 Brenner, Susanne Cecelia 2 Cai, Jing 2 Cao, Dexin 2 Cao, Yang 2 Chen, Huanzhen 2 Chen, Juan 2 Chou, So-Hsiang 2 Cvetković-Ilić, Dragana S. 2 Dai, Yu-Hong 2 Dang, Chuangyin 2 de Sampaio, Raimundo J. B. 2 Ding, Haojiang 2 Dong, Bo 2 Gao, Xingbao 2 Hong, Qi 2 Huang, Chengming 2 Huang, Ting-Zhu 2 Kong, Linghua 2 Kritzer, Peter 2 Kuang, Jiaoxun 2 Lai, Xiang 2 Li, Chengjin 2 Li, Chenliang 2 Li, Fang 2 Li, Fule 2 Li, Jicheng 2 Li, Xiezhang ...and 524 more Authors
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#### Cited in 97 Journals

 62 Applied Mathematics and Computation 55 Journal of Computational and Applied Mathematics 25 Computers & Mathematics with Applications 19 Linear Algebra and its Applications 18 Applied Mathematics and Mechanics. (English Edition) 13 Applied Mathematics. Series B (English Edition) 12 Acta Mathematicae Applicatae Sinica. English Series 11 Advances in Computational Mathematics 10 Journal of Shanghai University 10 Journal of Applied Mathematics and Computing 9 Computational and Applied Mathematics 8 Applied Numerical Mathematics 7 Numerische Mathematik 7 Journal of Scientific Computing 6 Mathematics of Computation 6 Calcolo 6 Journal of Optimization Theory and Applications 6 Numerical Algorithms 6 Mathematical Problems in Engineering 6 Journal of Systems Science and Complexity 5 Computational Optimization and Applications 5 Abstract and Applied Analysis 5 Journal of Applied Mathematics 4 Computer Methods in Applied Mechanics and Engineering 4 Journal of Mathematical Analysis and Applications 4 Journal of Complexity 4 Numerical Methods for Partial Differential Equations 4 Applied Mathematics Letters 4 Journal of Inequalities and Applications 4 Discrete Dynamics in Nature and Society 4 Acta Mathematica Sinica. English Series 3 BIT 3 Computing 3 Journal of Approximation Theory 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Mathematical and Computer Modelling 3 Science in China. Series A 3 Japan Journal of Industrial and Applied Mathematics 3 Applied Mathematical Modelling 3 Frontiers of Mathematics in China 3 East Asian Journal on Applied Mathematics 2 Journal of Engineering Mathematics 2 Numerical Functional Analysis and Optimization 2 Optimization 2 Annals of Operations Research 2 Numerical Linear Algebra with Applications 2 Communications in Nonlinear Science and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Industrial and Management Optimization 2 Inverse Problems in Science and Engineering 2 Advances in Numerical Analysis 2 Science China. Mathematics 1 Discrete Mathematics 1 Journal of Mathematical Biology 1 Linear and Multilinear Algebra 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Aplikace Matematiky 1 Archiv der Mathematik 1 Journal of Differential Equations 1 Journal of Soviet Mathematics 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Numerical Analysis 1 European Journal of Combinatorics 1 Acta Applicandae Mathematicae 1 Journal of Integral Equations and Applications 1 The Journal of Visualization & Computer Animation 1 Applications of Mathematics 1 Computational Mathematics and Mathematical Physics 1 European Journal of Operational Research 1 International Journal of Computer Mathematics 1 Mathematical Programming. Series A. Series B 1 Chinese Science Bulletin 1 Communications in Numerical Methods in Engineering 1 Journal of Mathematical Sciences (New York) 1 Filomat 1 Journal of Inverse and Ill-Posed Problems 1 Complexity 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Dynamics 1 Taiwanese Journal of Mathematics 1 Journal of Zhejiang University. Science 1 Mathematical Modelling and Analysis 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Central European Journal of Mathematics 1 Analysis in Theory and Applications 1 International Journal of Numerical Analysis and Modeling 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 International Journal of Differential Equations 1 International Journal for Numerical Methods in Biomedical Engineering 1 Numerical Algebra, Control and Optimization 1 ISRN Algebra 1 Journal of Theoretical Biology 1 Journal of the Operations Research Society of China 1 Journal of Mathematical Modelling and Algorithms in Operations Research
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#### Cited in 35 Fields

 343 Numerical analysis (65-XX) 111 Partial differential equations (35-XX) 68 Operations research, mathematical programming (90-XX) 65 Linear and multilinear algebra; matrix theory (15-XX) 35 Fluid mechanics (76-XX) 32 Ordinary differential equations (34-XX) 20 Approximations and expansions (41-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 15 Mechanics of deformable solids (74-XX) 13 Integral equations (45-XX) 12 Operator theory (47-XX) 6 Real functions (26-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Functions of a complex variable (30-XX) 5 Biology and other natural sciences (92-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Computer science (68-XX) 3 Combinatorics (05-XX) 3 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 Field theory and polynomials (12-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)