# zbMATH — the first resource for mathematics

## Mathematica Numerica Sinica

 Short Title: Math. Numer. Sin. Parallel Title: Jisuan Shuxue Publisher: Chinese Academy of Sciences, Institute of Computational Mathematics and Scientific/Engineering Computing, Beijing ISSN: 0254-7791 Online: http://eng.oversea.cnki.net/kns55/oldnavi/n_item.aspx?NaviID=48&Flg=local&BaseID=JSSX&NaviLink=Mathematics-%2Fkns55%2Foldnavi%2Fn_list.aspx%3FNaviID%3D48%26Flg%3Dlocal%26Field%3D168%25E4%25B8%2593%25E9%25A2%2598%25E4%25BB%25A3%25E7%25A0%2581%26Value%3DA002%253F%26OrderBy%3Didno%7CMathematica+Numerica+Sinicahttp://www.oriprobe.com/journals/jssx.htmlhttp://www.airiti.com/CEPS/ec_en/ecJnlIntro.aspx?Jnliid=3825&newIssueiid=55396&jnlcattype=1&jnlptype=3&jnltype=15http://www.global-sci.org/mns/ Comments: Indexed cover-to-cover
 Documents Indexed: 1,450 Publications (since 1978)
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#### Latest Issues

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#### Authors

 20 Luo, Zhendong 20 Sun, Jiguang 16 Shi, Zhongci 16 Wang, Lieheng 15 Shi, Dongyang 14 Liu, Xinguo 13 Chen, Shaochun 13 Sun, Jiachang 12 Li, Hong 12 Sun, Ping 12 Wang, Xinghua 12 Yu, Dehao 9 Cui, Minggen 9 Dai, Hua 9 Fei, Jinggao 9 Feng, Minfu 9 Ma, Changfeng 9 Zhang, Guanquan 9 Zhou, Tianxiao 8 Hu, Jiagan 8 Liang, Guoping 8 Qin, Mengzhao 8 Shen, Shumin 8 Tan, Jieqing 8 You, Zhaoyong 7 Cao, Liqun 7 Fang, Kui 7 Han, Guoqiang 7 Hu, Qiya 7 Hu, Xiancheng 7 Huang, Hongci 7 Li, Kaitai 7 Lu, Tao 7 Shih, Yingkuang 7 Yang, Yidu 7 Yuan, Guangwei 7 Yuan, Yirang 7 Zhang, Yuhai 6 Cao, Yang 6 Cheng, Lizhi 6 Fu, Hongyuan 6 Han, Danfu 6 Jian, Jinbao 6 Li, Wen 6 Liu, Yang 6 Sha, Zhen 6 Shen, Longjun 6 Sun, Che 6 Wang, Fenling 6 Wang, Wenqiang 6 Xiang, Xinmin 6 Xiao, Aiguo 6 Xie, Jin 6 Zhao, Ning 6 Zheng, Quan 6 Zhu, Gongqin 5 Chen, Chuanmiao 5 Chen, Guangnan 5 Chen, Xiaoshan 5 Chen, Yiming 5 Cheng, Xiaoliang 5 Chi, Xuebin 5 Feng, Kang 5 Guan, Lutai 5 Huang, Daren 5 Huang, Jianguo 5 Li, Jiaofen 5 Lin, Qun 5 Pan, Chunping 5 Shi, Yingguang 5 Song, Yongzhong 5 Wang, Jianzhong 5 Zeng, Jinping 5 Zhang, Lei 5 Zhu, Benren 5 Zhu, Zhengyou 4 Chen, Jinru 4 Cui, Junzhi 4 Dai, Jiazun 4 Deng, Siqing 4 Feng, Gongji 4 Gao, Yuelin 4 Gu, Chuanqing 4 Gu, Jinsheng 4 Guan, Shirong 4 Guo, Boling 4 Han, Jiye 4 He, Siriguleng 4 Hu, Xiyan 4 Huang, Tinzhu 4 Jiang, Meiqun 4 Li, Qian 4 Li, Rencang 4 Li, Shoufu 4 Li, Yuesheng 4 Liao, Anping 4 Liu, Chengzhi 4 Liu, Dongbing 4 Liu, Huanwen 4 Liu, Zhi ...and 1,322 more Authors
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#### Fields

 1,160 Numerical analysis (65-XX) 394 Partial differential equations (35-XX) 179 Approximations and expansions (41-XX) 137 Operations research, mathematical programming (90-XX) 104 Linear and multilinear algebra; matrix theory (15-XX) 94 Fluid mechanics (76-XX) 90 Ordinary differential equations (34-XX) 64 Mechanics of deformable solids (74-XX) 39 Integral equations (45-XX) 28 Operator theory (47-XX) 25 Computer science (68-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 21 Probability theory and stochastic processes (60-XX) 21 Statistics (62-XX) 18 Functions of a complex variable (30-XX) 17 Real functions (26-XX) 17 Optics, electromagnetic theory (78-XX) 13 Information and communication theory, circuits (94-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Quantum theory (81-XX) 10 Systems theory; control (93-XX) 9 Biology and other natural sciences (92-XX) 8 Functional analysis (46-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Field theory and polynomials (12-XX) 7 Potential theory (31-XX) 5 Differential geometry (53-XX) 4 Combinatorics (05-XX) 4 Special functions (33-XX) 4 Integral transforms, operational calculus (44-XX) 4 Mechanics of particles and systems (70-XX) 4 Geophysics (86-XX) 3 Difference and functional equations (39-XX) 3 Sequences, series, summability (40-XX) 3 Convex and discrete geometry (52-XX) 2 History and biography (01-XX) 2 Geometry (51-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General algebraic systems (08-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

362 Publications have been cited 1,084 times in 886 Documents Cited by Year
On the error estimates of Morley element. Zbl 0850.73337
Shi, Zhongci
1990
A basic theorem of constructing an iterative formula of the higher order for computing multiple roots of an equation. Zbl 0511.65030
Chen, Dong
1982
Two kinds of inverse eigenvalue problems for real symmetric matrices. Zbl 0656.65041
Sun, Jiguang
1988
On the convergence of the incomplete biquadratic nonconforming plate element. Zbl 0587.73114
Shi, Zhongci
1986
Parallel matrix multisplitting block relaxation iteration methods. Zbl 0860.65020
Bai, Zhongzhi
1995
New mixed element schemes for second order elliptic problem. Zbl 1224.65260
Chen, Shaochun; Chen, Hongru
2010
The theory of Smale’s point estimation and the convergence of Durand-Kerner program. Zbl 0850.65089
Zhao, Fengguang; Wang, Deren
1993
On optimal approximation of a matrix under spectral restriction. Zbl 0592.65023
Jiang, Zhengxin; Lu, Qishao
1986
Eigenvalue approximation from below by Wilson’s element. Zbl 1142.65435
Zhang, Zhimin; Yang, Yidu; Chen, Zhen
2007
On the best operator of interpolation in $$W^ 1_ 2$$. Zbl 0605.41004
Cui, Minggen; Deng, Zhongxing
1986
A remark on the optimal order of convergence of Wilson’s nonconforming element. Zbl 0607.65071
Shi, Zhongci
1986
Generalized polar decomposition. Zbl 0699.15004
Sun, Jiguang; Chen, Chunhui
1989
On spline finite element method. Zbl 0452.73062
Shih, Chung-tze
1979
Estimates of $$\| B^{-1}A\|_{\infty}$$ and their applications. Zbl 0538.65015
Hu, Jiagan
1982
On the perturbation of the eigenvalues of a normal matrix. Zbl 0554.15009
Sun, Jiguang
1984
Differential versus integral equations and finite versus infinite elements. Zbl 0466.65064
Feng, Kang
1980
Matrix valued rational interpolants and its error formula. Zbl 0860.41018
Gu, Chuanqing; Chen, Zhibing
1995
Time stepping along characteristics for the finite element approximation of compressible miscible displacement in porous media. Zbl 0850.76714
Yuan, Yirang
1992
Finite difference methods for a compressible miscible displacement problem in porous media. Zbl 0850.76715
Yuan, Yirang
1993
Lower approximation of eigenvalues by the nonconforming finite element method. Zbl 1174.65514
Li, Youai
2008
Hermitian positive definite solutions of matrix equation $$X-A^*X^qA=Q (q>0)$$. Zbl 1121.15302
Gao, Dongjie; Zhang, Yuhai
2007
On the theory of discontinuous finite elements. Zbl 0452.65067
Feng, Kang
1979
Elliptic equations on composite manifold and composite elastic structures. Zbl 0457.58022
Kang, Feng
1979
A stabilized fully discrete finite volume element formulation for the non-stationary Stokes equation. Zbl 1240.76002
An, Jing; Sun, Ping; Luo, Zhendong; Huang, Xiaoming
2011
Finite element nonlinear Galerkin methods for penalty Navier-Stokes equations. Zbl 0859.76040
Li, Kaitai; Zhou, Lei
1995
A nonconforming element like Wilson’s for second order problems. Zbl 0850.65214
Jiang, Jinsheng; Cheng, Xiaoliang
1992
Finite element analysis of the Stokes equations with damping. Zbl 1240.76015
Liu, Demin; Li, Kaitai
2010
A new approach of the lowest order anisotropic mixed finite element high accuracy analysis for nonlinear sine-Gordon equations. Zbl 1340.65202
Shi, Dongyang; Wang, Fenling; Fan, Mingzhi; Zhao, Yanmin
2015
A three-level difference scheme for two-dimensional nonlinear parabolic differential equations. Zbl 1002.65518
Dai, Weizhong; Chen, Chuandan
1989
Asymptotically exact a posteriori error estimator for elements of bi-even degree. Zbl 0850.65200
Yu, Dehao
1991
A kind of upwind schemes for convection diffusion equations. Zbl 0850.65169
Liang, Dong
1991
Least-squares solutions of inverse problems for bisymmetric matrices. Zbl 0957.65030
Xie, Dongxiu; Zhang, Lei; Hu, Xiyan
2000
Extensions of the Ostrowski-Reich theorem in AOR iterations. Zbl 0603.65017
Song, Yongzhong
1985
Scaling transformation and convergence of splittings of matrix. Zbl 0551.65016
Hu, Jiagan
1983
On the numerical solution for singular integral equations with Hilbert kernel. Zbl 0687.65125
Du, Jinyuan
1989
A fully discrete finite volume element formulation for the Sobolev equation and numerical simulations. Zbl 1265.65221
Li, Hong; Luo, Zhendong; An, Jing; Sun, Ping
2012
A family of parallel and interval iterations for finding simultaneously all roots of a polynomial with rapid convergence. II. Zbl 0587.65037
Wang, Xinghua; Zheng, Shiming
1985
The perturbation bounds of generalized eigenvalues of a class of matrix- pairs. Zbl 0537.15005
Sun, Jiguang
1982
An iterative method in the infinite element. Zbl 0451.65082
Han, Hou-de; Ying, Long-an
1979
Stability and bifurcation analysis for a amensalism system with delays. Zbl 1174.34074
Zhang, Zhiping
2008
Two-scale asymptotic analysis methods for a class of elliptic boundary value problems with small periodic coefficients. Zbl 0917.65091
Cui, Junzhi; Cao, Liqun
1999
Parallel two-stage multisplitting iterative methods. Zbl 0922.65023
Gu, Tongxiang; Liu, Xingping
1998
The pseudospectral collocation methods for the generalized SRLW equations. Zbl 1002.65524
1989
QR decomposition and nonlinear eigenvalue problems. Zbl 0997.65527
Li, Rencang
1989
On the convergence of GAOR methods. Zbl 0997.65524
Song, Yongzhong
1989
Some nonconforming finite element approximations of a fourth order variational inequality with displacement obstacle. Zbl 0850.73338
Wang, Lieheng
1990
On the Rayleigh quotient matrix. Zbl 0850.15008
Liu, Xinguo; Xu, Yage
1990
Bivariate Thiele-type vector valued rational interpolants. Zbl 0850.41014
Zhu, Gongqin; Gu, Chuanqing
1990
Matrix Padé approximants based on generalized inverse. Zbl 0882.65025
Gu, Chuanqing
1997
The finite element analysis for the conduction-convection problems. Zbl 0922.76105
Shen, Shumin
1994
Mixed finite element analysis and numerical simulation for Burgers equation. Zbl 0933.65117
Luo, Zhendong; Liu, Ruxun
1999
The positivity and convexity for Bernstein polynomials over triangles. Zbl 0587.41016
Zhou, Jianwei
1986
Least-squares solutions of a class of inverse eigenvalue problems. Zbl 0631.65034
Sun, Jiguang
1987
Criterion $$\alpha$$ and Newton’s method in the weak conditions. Zbl 0879.65031
Wang, Xinghua; Han, Danfu
1997
The bisymmetric solution of matrix equation $$AX=B$$ over a matrix inequality constraint. Zbl 1299.65077
Li, Jiaofen; Peng, Zhenyun; Peng, Jingjing
2013
Superconvergence and extrapolation analysis of a new nonconforming mixed finite element approximation for parabolic equation. Zbl 1299.65214
Shi, Dongyang; Zhang, Yadong
2013
Integrated solutions of ordinary differential equation systems and two- point boundary value problems part I. Integrated solution method. Zbl 0475.65054
Zhang, Guan-quan
1981
Modified alternating direction methods for solving a two-dimensional non-continuous seepage flow with fractional derivatives. Zbl 1212.65342
Liu, Qingxia; Liu, Fawang
2009
A reduced finite difference scheme based on proper orthogonal decomposition for the nonstationary conduction-convection problems. Zbl 1212.65327
Sun, Ping; Luo, Zhendong; Zhou, Yanjie
2009
The nonlinear stability of explicit and diagonally implicit Runge-Kutta methods. Zbl 0645.65037
Li, Shoufu
1987
Mixed finite element methods with moving grids for parabolic problems. Zbl 0656.65101
Yang, Daoqi
1988
Convergence of two-stage iterative methods for the solution of linear systems. Zbl 0860.65019
Cao, Zhihao
1995
On the convergence properties of an ODE algorithm for unconstrained optimization. Zbl 0850.65127
Han, Lixing
1993
The PL-stability of block $$\theta$$-methods. Zbl 0877.65059
Kuang, Jiaoxun
1997
Conjugate basis of Ball basis function and its application. Zbl 0881.65007
Xi, Meicheng
1997
On a direct method for the linear complementarity problem. Zbl 0925.65111
Zhang, Lei; Hu, Xiyan
1994
Convergence of the AOR iterative method. Zbl 0603.65018
Song, Yongzhong
1986
A FEM with moving grid. Zbl 0604.65080
Liang, Guoping
1985
On the perturbations of the eigenvalues of a non-defective matrix. Zbl 0611.15014
Zhang, Zhenyue
1986
Stability and convergence of the finite element method for a class of second order nonlinear hyperbolic equations. Zbl 0614.65122
Yuan, Yirang
1983
Upper and lower bounds of the eigenvalues of $$M^{-1}N$$. Zbl 0617.65025
Hu, Jiagan
1986
A gradient projection algorithm for optimization problems with general constraints. Zbl 0633.65055
Chen, Guangjun
1987
Canonical integral equations of biharmonic elliptic boundary value problems. Zbl 0549.35035
Yu, Dehao
1982
Invariant subspaces and generalized invariant subspaces. I. Existence and uniqueness theorems. Zbl 0452.65017
Sun, Ji-guang
1980
Invariant subspaces and generalized invariant subspaces. II: Perturbation theorems. Zbl 0452.65018
Sun, Ji-guang
1980
A convergent iteration method of order two for finding zeroes of the derivative. Zbl 0453.65030
Wang, Xing-hua
1979
Basics of weak Galerkin finite element methods. Zbl 1374.65196
Wang, Junping; Ye, Xiu; Zhang, Ran
2016
A family of differentiable finite elements on simplicial grids in four space dimensions. Zbl 1374.65198
Zhang, Shangyou
2016
A new cascadic multigrid method based on superconvergence and extrapolation. Zbl 1143.65403
Li, Chengliang; Chen, Chuanmiao; Xu, Xuejun
2007
A globally convergent mixed conjugate gradient method with Wolfe line search. Zbl 1265.65114
Jiang, Xianzhen; Han, Lin; Jian, Jinbao
2012
Leap-frog schemes of two kinds of Hamiltonian systems for wave equations. Zbl 0656.65087
Qin, Mengzhao
1988
On the solution by determinantal series to Volterra integral equation of the second kind with convolution-type kernel. Zbl 0658.45002
Zhang, Shisheng; Yang, Ganshan
1988
An efficient method for semi-infinite programming. Zbl 0916.65060
Zhou, Guanglu; Wang, Changyu; Zhang, Yuzhong
1999
A direct analysis of the 9-parameter quasi-conforming plate element. Zbl 0850.73334
Shi, Zhongci; Chen, Shaochun
1990
Multigrid method of nonconforming Wilson finite element. Zbl 0850.65240
Yu, Xijun
1993
Morley’s element approximation to a fourth order variational inequality with curvature obstacle. Zbl 0850.65133
Wang, Lieheng
1990
Inverse eigenproblems for tridiagonal matrices. Zbl 0850.65060
Zhang, Zhenyue
1991
$$L_ \infty$$ error bounds for some nonlinear integro-differential equations by finite element approximations. Zbl 0850.65363
Zhang, Tie; Lin, Yanping
1991
Correct solution of the finite difference and the spline function for a class of singular two-point boundary value problems. Zbl 0850.65150
Han, Guoqiang
1991
Generalizations of Ostrowski’s theorem and conditions for $$H$$-matrices. Zbl 0925.15018
Huang, Tinzhu
1994
Measure parameters of the effectiveness of the parallel iteration methods. Zbl 0933.65054
Bai, Zhongzhi; Gao, Zuofeng; Huang, Tinzhu
1999
An algorithm for the solution of multiparameter eigenvalue problems. Zbl 0607.65011
Sun, Jiguang
1986
A boundary integral equation method for solving stationary Stokes problem. Zbl 0611.76041
Zhu, Jialin
1986
An algorithm for the solution of multiparameter eigenvalue problems. II. Zbl 0618.65029
Sun, Jiguang
1986
Convergence of the AOR method. Zbl 0512.65025
Chen, Pei-xian
1983
Absolutely stable explicit and semi-explicit schemes for Schrödinger equations. Zbl 0687.65118
Dai, Weizhong
1989
An analysis of a nine parameter plate element of Specht. Zbl 0724.73240
Shi, Zhongci; Chen, Shaochun
1989
Weak-implicit and explicit schemes for nonlinear wave equations. Zbl 0860.65081
Zhang, Wenshu; Shen, Longjun
1995
Best approximation having restricted ranges with nodes. Zbl 0453.73093
Shih, Ying-kuang
1980
On affine invariants of a Bézier curve. Zbl 0455.53005
Su, Buqing
1980
Stochastic training of residual networks in deep learning. Zbl 1463.68074
Sun, Qi; Tao, Yunzhe; Du, Qiang
2020
A spectral gradient projection algorithm for convex constrained nonsmooth equations based on an adaptive line search. Zbl 07339294
Yin, Jianghua; Jian, Jinbao; Jiang, Xianzhen
2020
Fractional order degenerate kernel methods for Fredholm integral equations of the second kind with endpoint singularities. Zbl 1438.65345
Wang, Tongke; Fan, Meng
2019
A preconditioned two-steps modulus-based matrix splitting iteration method for solving linear complementarity problems of $$H$$-matrices. Zbl 1413.65054
Zheng, Hua; Luo, Jing
2018
Finite difference methods for the Helmholtz equation: a brief review. Zbl 1413.65406
Wang, Kun; Zhang, Yang; Guo, Rui
2018
High accuracy analysis of anisotropic linear triangular element for multi-term time fractional diffusion equations. Zbl 1424.65170
Wang, Fenling; Fan, Mingzhi; Zhao, Yanmin; Shi, Zhengguang; Shi, Dongyang
2018
An iterative method for an inverse source problem of a time-fractional diffusion equation. Zbl 1399.65224
Cheng, Qiang; Xiong, Xiangtuan
2017
Exponential approximation of multivariate bandlimited stochastic signals from average oversampling. Zbl 1399.94032
Chen, Wenjian; Zhang, Haizhang
2017
The two kind of iterative methods with fifth-order for solving the system of nonlinear equations. Zbl 1413.65211
Yu, Jingjing; Jiang, Ping; Liu, Zhi
2017
Basics of weak Galerkin finite element methods. Zbl 1374.65196
Wang, Junping; Ye, Xiu; Zhang, Ran
2016
A family of differentiable finite elements on simplicial grids in four space dimensions. Zbl 1374.65198
Zhang, Shangyou
2016
A consistent fourth-order compact scheme for solving convection-diffusion equation. Zbl 1374.65144
Wang, Tao; Liu, Tiegang
2016
Discontinuous space-time finite element method for the system of nonlinear fractional reaction-diffusion equations. Zbl 1363.65166
Liu, Jincun; Li, Hong; Liu, Yang; He, Siriguleng
2016
A fractional interpolation formula for non-smooth functions. Zbl 1363.65012
Fan, Meng; Wang, Tongke; Chang, Huibin
2016
From discrete velocity model to moment method. Zbl 1374.78202
Cai, Zhenning; Fan, Yuwei; Li, Ruo
2016
Discontinuous Galerkin methods on quasi-graded meshes for delay differential equations with nonlinear delay. Zbl 1374.65134
Xu, Xiuxiu; Huang, Qiumei
2016
Constrained nonconforming rotated $$Q_1$$ element methods of the Reissner-Mindlin plate problem. Zbl 1389.74028
Hu, Jun; Shi, Zhongci
2016
Trust region BB methods for unconstrained minimization. Zbl 1349.90783
Liu, Yajun; Liu, Xinwei
2016
A new approach of the lowest order anisotropic mixed finite element high accuracy analysis for nonlinear sine-Gordon equations. Zbl 1340.65202
Shi, Dongyang; Wang, Fenling; Fan, Mingzhi; Zhao, Yanmin
2015
Property analysis and quick solutions for nonlinear discrete schemes for conservative diffusion equation. Zbl 1340.65167
Cui, Xia; Yue, Jingyan
2015
A positivity-preserving finite volume scheme for diffusion equations on polyhedral meshes. Zbl 1340.76055
Wang, Shuai; Hang, Xudeng; Yuan, Guangwei
2015
High accuracy analysis of a new mixed finite element method for nonlinear Schrödinger equation. Zbl 1340.65205
Zhao, Yanmin; Shi, Dongyang; Wang, Fenling
2015
A new pattern of high accuracy analysis of anisotropic linear element for nonlinear sine-Gordon equations. Zbl 1324.65125
Shi, Dongyang; Wang, Fenling; Zhao, Yanmin
2014
An alternating projection algorithm for single variable linear constraints matrix equation problems. Zbl 1313.65090
Li, Jiaofen; Zhang, Xiaoning; Peng, Zhenyun; Peng, Jingjing
2014
On Picard-MHSS methods for weakly nonlinear systems. Zbl 1324.65084
Wang, Yang; Wu, Yujiang; Fu, Jun
2014
The quadratic approximation methods for solving nonlinear eigenvalue problems. Zbl 1324.65085
Cao, Yang; Dai, Hua
2014
The bisymmetric solution of matrix equation $$AX=B$$ over a matrix inequality constraint. Zbl 1299.65077
Li, Jiaofen; Peng, Zhenyun; Peng, Jingjing
2013
Superconvergence and extrapolation analysis of a new nonconforming mixed finite element approximation for parabolic equation. Zbl 1299.65214
Shi, Dongyang; Zhang, Yadong
2013
Two efficient nonlinear conjugate gradient methods. Zbl 1299.65120
Liu, Jinkui
2013
An extrapolation reduced-order FDS based on POD technique for a traffic flow model. Zbl 1299.65256
Luo, Zhendong; Gao, Junqiang; Sun, Ping; An, Jing
2013
Convergence analysis of a new nonconforming mixed finite element for parabolic equations on anisotropic mesh. Zbl 1299.65240
Zhang, Yadong; Shi, Dongyang
2013
A general scheme of high accuracy analysis for an anisotropic $$EQ^{\mathrm{rot}}_1$$ nonconforming element. Zbl 1299.65272
Shi, Dongyang; Wang, Fenling; Shi, Yanhua
2013
A new nonmonotone spectral projected gradient method for bound constrained optimization. Zbl 1299.90311
Bi, Yaqian; Liu, Xinwei
2013
A fully discrete finite volume element formulation for the Sobolev equation and numerical simulations. Zbl 1265.65221
Li, Hong; Luo, Zhendong; An, Jing; Sun, Ping
2012
A globally convergent mixed conjugate gradient method with Wolfe line search. Zbl 1265.65114
Jiang, Xianzhen; Han, Lin; Jian, Jinbao
2012
An $$H^1$$-Galerkin mixed element method and numerical simulation for the fourth-order parabolic partial differential equations. Zbl 1274.65272
Liu, Yang; Li, Hong; He, Siriguleng; Gao, Wei; Fang, Zhichao
2012
On Newton-PSS methods for the system of nonlinear equations. Zbl 1289.65134
Yang, Aili; Wu, Yujiang; Li, Xu; Meng, Lingling
2012
The Jacobi-Davidson method with deflation for solving eigenvalue problems of gyroscopic systems. Zbl 1289.65087
Zhou, Xingyue; Dai, Hua
2012
On modulus-based matrix splitting iteration methods for linear complementarity problems. Zbl 1289.65145
Zhang, Lili
2012
Parallelization of extrapolation cascadic multigrid method using OpenMP. Zbl 1289.65273
Pan, Kejia; Hu, Hongling; Chen, Chuanmiao; Tang, Jingtian
2012
Newton flow method for nonlinear equations. Zbl 1274.65149
Chen, Chuanmiao; Hu, Hongling; Lei, Lei; Zeng, Xingxing
2012
A 13-parameter quadrilateral plate element with double set parameters. Zbl 1274.74458
Zhao, Zhongjian; Xiao, Liuchao; Chen, Shaochun
2012
Superconvergence analysis of $$H^1$$-Galerkin mixed finite element method for strongly damped wave equations. Zbl 1274.65259
Shi, Dongyang; Tang, Qili; Dong, Xiaojing
2012
An immersed finite element method based on Crouzeix-Raviart elements. Zbl 1265.65243
Wang, Shuyan; Chen, Huanzhen
2012
Solving the (generalized) periodic Sylvester equation with the matrix sign function. Zbl 1265.65078
Chen, Xiaoshan
2012
On PSS-based constraint preconditioners for generalized saddle point problems. Zbl 1265.65050
Cao, Yang; Niu, Qiang; Jiang, Meiqun
2012
A generalized inexact Uzawa method for saddle point problems. Zbl 1265.65052
Dou, Quanyu; Yin, Junfeng
2012
Convergence of the spectral method for the linear variable coefficient neutral differential equation with variable delays. Zbl 1265.65144
Wang, Wenqiang; Li, Dongfang
2012
A stabilized fully discrete finite volume element formulation for the non-stationary Stokes equation. Zbl 1240.76002
An, Jing; Sun, Ping; Luo, Zhendong; Huang, Xiaoming
2011
A fast iterative method for solving ill-posed integral equations based on the optimal projection method. Zbl 1240.65379
Luo, Xingjun; Li, Fanchun; Yang, Suhua
2011
Mean-square convergence and stability of the balanced method for stochastic delay differential equations. Zbl 1240.60162
Tan, Yingxian; Gan, Siqing; Wang, Xiaojie
2011
The error estimate of Newton-Cotes method to compute hypersingular integral. Zbl 1240.65079
Li, Jin; Yu, Dehao
2011
A class of low order nonconforming finite element analysis for the sine-Gordon equation. Zbl 1249.65203
Shi, Dongyang; Zhang, Feiran
2011
Investigation on a nonmonotone cautious BFGS algorithm. Zbl 1249.90206
Wan, Zhong; Feng, Dongdong
2011
Self-discrete finite volume element simulation for a two-dimension unsaturated soil water flow problem. Zbl 1240.76012
Li, Huanrong; Luo, Zhendong
2011
Analysis of mean-square stability of the parareal algorithm. Zbl 1240.65014
Wu, Shulin; Wang, Zhiyong; Huang, Chengming
2011
Analysis of a unified stabilized finite volume method for the Darcy-Stokes problem. Zbl 1240.76033
Xie, Chunmei; Luo, Yan; Feng, Minfu
2011
On the convergence of the P-SOR method for solving maximal correlation problems. Zbl 1249.65133
Qin, Xiaowei; Liu, Xinguo; Zhao, Na
2011
A reduced second order time accurate finite element formulation of time second order central difference based on POD approach for parabolic equations. Zbl 1249.65206
Teng, Fei; Sun, Ping; Luo, Zhendong
2011
New mixed element schemes for second order elliptic problem. Zbl 1224.65260
Chen, Shaochun; Chen, Hongru
2010
Finite element analysis of the Stokes equations with damping. Zbl 1240.76015
Liu, Demin; Li, Kaitai
2010
Stability of Euler-Maruyama method for linear stochastic delay integro-differential equations. Zbl 1224.65011
Hu, Peng; Huang, Chengming
2010
Block triangular preconditioners for generalized saddle point problems. Zbl 1224.65075
Jing, Meiqun; Cao, Yang
2010
$$A^-$$-linearized Bregman iteration algorithm. Zbl 1224.94009
Zhang, Hui; Cheng, Lizhi
2010
A biquadratic element finite volume method based on optimal stress points for solving Poisson equations. Zbl 1224.65244
Yu, Changhua; Li, Yonghai
2010
A new Jacobian smoothing method for solving nonlinear complementarity problems. Zbl 1240.90449
Zheng, Chen; Ma, Changfeng
2010
A stabilized method of $$\mathrm{P}_1$$ nonconforming quadrilateral finite element for solving Stokes problem. Zbl 1224.65267
Huang, Ping; Chen, Jinru
2010
A new mixed finite element method for fourth-order heavy damping wave equation. Zbl 1224.65227
Liu, Yang; Li, Hong
2010
Modified alternating direction methods for solving a two-dimensional non-continuous seepage flow with fractional derivatives. Zbl 1212.65342
Liu, Qingxia; Liu, Fawang
2009
A reduced finite difference scheme based on proper orthogonal decomposition for the nonstationary conduction-convection problems. Zbl 1212.65327
Sun, Ping; Luo, Zhendong; Zhou, Yanjie
2009
An extrapolation cascadic multigrid method (EXCMG) – a new algorithm for solving large scale elliptic problems. Zbl 1212.65487
Hu, Hongling; Chen, Chuanmiao; Xie, Ziqing
2009
A new explicit multi-symplectic scheme for RLW equation. Zbl 1212.65319
Hu, Yingying; Wang, Yushun; Wang, Huiping
2009
Analysis of a nonconforming RFB stabilized method for the nonstationary convection-dominated diffusion equations. Zbl 1212.65370
Bai, Yanhong; Feng, Minfu; Kong, Hua
2009
A smooth algorithm for vertical linear complementarity problems. Zbl 1183.90427
Wang, Hua; Ulji
2009
An affine scaling conjugate gradient path method for nonlinear optimization subject to bounds. Zbl 1183.90381
Bao, Jifeng; Zhu, Detong
2009
A Petrov least squares mixed finite element method for the non-stationary conduction convection problems. Zbl 1199.65342
Sun, Ping; Luo, Zhendong; Chen, Jing
2009
A corrected Uzawa method for symmetric saddle point problems. Zbl 1212.65134
Pang, Hongkui; Li, Wen
2009
Mean square convergence of semi-implicit Euler methods with linear interpolation for stochastic pantograph equations. Zbl 1212.65025
Zhang, Haomin; Gan, Siqing; Hu, Lin
2009
Lower approximation of eigenvalues by the nonconforming finite element method. Zbl 1174.65514
Li, Youai
2008
Stability and bifurcation analysis for a amensalism system with delays. Zbl 1174.34074
Zhang, Zhiping
2008
The Hermitian positive definite solution and its perturbation analysis for the matrix equation $$X-A^*X^{-1}A=Q$$. Zbl 1174.65385
Li, Jing; Zhang, Yuhai
2008
Two splitting least-squares mixed element methods for linear Sobolev equations. Zbl 1174.65520
Gao, Fuzheng; Rui, Hongxing
2008
Computing reproducing kernels for $$W^m_2[a,b]$$. I. Zbl 1174.65452
Zhang, Xinjian; Long, Han
2008
An alternating direction implicit difference scheme for two dimensional semilinear reaction-diffusion equation. Zbl 1174.65471
Wu, Hongwei
2008
Convergence of a class of linear multistep methods for nonlinear neutral delay differential equations. Zbl 1174.65438
Wang, Wansheng; Li, Shoufu; Su, Kai
2008
A numerical method for the space-time fractional convection-diffusion equation. Zbl 1174.65557
Qin, Pingyang; Zhang, Xiaodan
2008
Superclose analysis of bicubic Hermite element on anisotropic meshes. Zbl 1174.65526
Shi, Dongyang; Xie, Pingli; Yu, Zhiyun
2008
Computing reproducing kernels for $$W^m_2[a,b]$$. II. Zbl 1174.65453
Zhang, Xinjian; Lu, Shirong
2008
Hermitian positive definite solutions of the matrix equation $$X+A^*X^{-q}A=Q(q\geq 1)$$. Zbl 1174.15343
Liao, Anping; Duan, Xuefeng; Shen, Jinrong
2008
A new globally convergent Levenberg-Marquardt method for solving nonlinear system of equations. Zbl 1174.65407
Yang, Liu; Chen, Yanping
2008
A discontinuous element pressure gradient stabilizations for the Stokes equations based on local projections. Zbl 1164.65481
Luo, Yan; Feng, Minfu
2008
Eigenvalue approximation from below by Wilson’s element. Zbl 1142.65435
Zhang, Zhimin; Yang, Yidu; Chen, Zhen
2007
Hermitian positive definite solutions of matrix equation $$X-A^*X^qA=Q (q>0)$$. Zbl 1121.15302
Gao, Dongjie; Zhang, Yuhai
2007
A new cascadic multigrid method based on superconvergence and extrapolation. Zbl 1143.65403
Li, Chengliang; Chen, Chuanmiao; Xu, Xuejun
2007
A level-value estimation method for solving constrained global optimization. Zbl 1174.90814
Peng, Zheng; Wu, Donghua; Tian, Weiwen
2007
On existence of weighted group inverses of rectangular matrices. Zbl 1121.15303
Cen, Jianmiao
2007
On the computational complexity of the Schein rank of fuzzy matrices. Zbl 1140.65328
Wang, Xueping; Yang, Yan
2007
A weak conservative difference scheme for nonlinear Kundu equation. Zbl 1142.65398
Liang, Zongqi; Xu, Chuanju
2007
Generalized difference methods and numerical simulation for two-dimensional viscoelastic problems. Zbl 1142.74387
Li, Huanrong; Luo, Zhendong; Li, Qian
2007
Structured backward errors for a class of linear systems. Zbl 1143.65340
Chen, Xiaoshan; Li, Wen
2007
...and 262 more Documents
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#### Cited by 1,137 Authors

 43 Shi, Dongyang 23 Luo, Zhendong 15 Petković, Miodrag S. 14 Li, Hong 12 Gu, Chuanqing 12 Hu, Jun 11 Hu, Xiyan 11 Yuan, Yirang 10 Bai, Zhongzhi 10 Huang, Yunqing 10 Shi, Zhongci 9 Huang, Jianguo 9 Li, Wen 9 Song, Yongzhong 9 Zhang, Lei 8 Huang, Ting-Zhu 8 Li, Rencang 8 Lin, Qun 8 Liu, Yang 8 Ma, Changfeng 8 Neta, Beny 8 Ren, Hongmin 7 Brenner, Susanne Cecelia 7 Wu, Qingbiao 7 Yu, Dehao 7 Zhang, Litao 7 Zhang, Shangyou 6 Chen, Guoliang 6 Fang, Zhichao 6 Gu, Tongxiang 6 He, Siriguleng 6 Li, Changfeng 6 Mei, Liquan 6 Ou, Yigui 6 Teng, Fei 6 Yang, Yidu 6 Zhao, Yanmin 5 Bhatia, Rajendra 5 Chen, Xiaoshan 5 Chen, Zhong 5 Chun, Changbum 5 Cui, Minggen 5 Cui, Xia 5 Gao, Wei 5 He, Yinnian 5 Huang, Na 5 Jian, Jinbao 5 Li, Chenliang 5 Li, Hanyu 5 Li, Jin 5 Li, Shoufu 5 Liao, Anping 5 Liu, Xingping 5 Pei, Lifang 5 Rančić, Lidija Z. 5 Rui, Hongxing 5 Sun, Tongjun 5 Tan, Jieqing 5 Wang, Chuanlong 5 Wang, Fenling 5 Wang, Junjun 5 Wang, Li 5 Xie, Dongxiu 5 Yang, Huaijun 5 Zeng, Jinping 5 Zheng, Hua 4 Adjerid, Slimane 4 Chen, Chuanmiao 4 Chen, Shaochun 4 Chen, Xiaoping 4 Cheng, Lizhi 4 Dai, Hua 4 Du, Qikui 4 Duan, Xuefeng 4 Feng, Minfu 4 Feng, Xinlong 4 Gao, Dongjie 4 Gao, Fuzheng 4 Han, Houde 4 Herceg, Đorđe D. 4 Hu, Hongling 4 Huang, Pengzhan 4 Huang, Zhengda 4 Li, Jing 4 Lu, Linzhang 4 Mao, Shipeng 4 Peng, Zhenyun 4 Proinov, Petko D. 4 Qiu, Hailong 4 Sharma, Rajni 4 Shen, Quan 4 Su, Fang 4 Sun, Jiguang 4 Wang, Lieheng 4 Wang, Tongke 4 Wang, Wansheng 4 Wang, Xinmin 4 Wen, Liping 4 Wu, Hongyi 4 Xu, Zhan ...and 1,037 more Authors
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#### Cited in 141 Journals

 111 Applied Mathematics and Computation 72 Journal of Computational and Applied Mathematics 58 Computers & Mathematics with Applications 43 Applied Mathematics and Mechanics. (English Edition) 42 Linear Algebra and its Applications 33 Applied Mathematics. Series B (English Edition) 29 Applied Numerical Mathematics 26 Acta Mathematicae Applicatae Sinica. English Series 24 Numerical Algorithms 20 Journal of Mathematical Analysis and Applications 20 Journal of Scientific Computing 19 Mathematics of Computation 17 Numerische Mathematik 15 Mathematical Problems in Engineering 15 Journal of Applied Mathematics and Computing 15 Science China. Mathematics 13 Calcolo 13 Numerical Methods for Partial Differential Equations 12 Computer Methods in Applied Mechanics and Engineering 12 Journal of Approximation Theory 11 Abstract and Applied Analysis 9 Science in China. Series A 9 Computational and Applied Mathematics 9 Journal of Applied Mathematics 8 Applied Mathematics Letters 8 Advances in Computational Mathematics 7 Journal of Shanghai University 7 Advances in Difference Equations 6 Journal of Computational Physics 6 BIT 5 Computer Aided Geometric Design 5 Mathematical and Computer Modelling 5 Applications of Mathematics 5 Applied Mathematical Modelling 5 Computational Optimization and Applications 5 Journal of Inequalities and Applications 4 Mathematics and Computers in Simulation 4 Journal of Complexity 4 Numerical Linear Algebra with Applications 4 Wuhan University Journal of Natural Sciences (WUJNS) 4 Acta Mathematica Sinica. English Series 4 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Mathematics 3 Journal of Optimization Theory and Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Engineering Analysis with Boundary Elements 3 International Journal of Computational Methods 3 Advances in Mathematical Physics 3 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Computer Physics Communications 2 Linear and Multilinear Algebra 2 Mathematical Methods in the Applied Sciences 2 Chaos, Solitons and Fractals 2 Information Sciences 2 Journal of Differential Equations 2 Acta Mathematica Hungarica 2 Japan Journal of Industrial and Applied Mathematics 2 Aequationes Mathematicae 2 International Journal of Computer Mathematics 2 Pattern Recognition 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Mathematical Sciences (New York) 2 ELA. The Electronic Journal of Linear Algebra 2 Nonlinear Dynamics 2 Soft Computing 2 Discrete Dynamics in Nature and Society 2 Nonlinear Analysis. Real World Applications 2 Mathematical Modelling and Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Systems Science and Complexity 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Boundary Value Problems 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Frontiers of Mathematics in China 2 Journal of Applied Analysis and Computation 1 Applicable Analysis 1 Computers and Fluids 1 Lithuanian Mathematical Journal 1 Rocky Mountain Journal of Mathematics 1 Wave Motion 1 ACM Transactions on Mathematical Software 1 Automatica 1 Computing 1 International Journal of Mathematics and Mathematical Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of the Korean Mathematical Society 1 Numerical Functional Analysis and Optimization 1 RAIRO. Analyse Numérique 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Systems & Control Letters 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Optimization 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Integral Equations and Applications 1 Journal of Global Optimization 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 European Journal of Operational Research ...and 41 more Journals
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#### Cited in 40 Fields

 715 Numerical analysis (65-XX) 223 Partial differential equations (35-XX) 125 Linear and multilinear algebra; matrix theory (15-XX) 87 Fluid mechanics (76-XX) 72 Mechanics of deformable solids (74-XX) 59 Operations research, mathematical programming (90-XX) 46 Approximations and expansions (41-XX) 37 Ordinary differential equations (34-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 19 Functions of a complex variable (30-XX) 19 Integral equations (45-XX) 18 Operator theory (47-XX) 12 Computer science (68-XX) 11 Field theory and polynomials (12-XX) 11 Real functions (26-XX) 11 Functional analysis (46-XX) 10 Statistics (62-XX) 10 Biology and other natural sciences (92-XX) 9 Systems theory; control (93-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Probability theory and stochastic processes (60-XX) 8 Mechanics of particles and systems (70-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Information and communication theory, circuits (94-XX) 5 Potential theory (31-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Optics, electromagnetic theory (78-XX) 3 Combinatorics (05-XX) 2 History and biography (01-XX) 2 Differential geometry (53-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)