## 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: https://www.computmath.com/jssx/EN/article/showOldVolumn.dohttp://www.oriprobe.com/journals/jssx.html Comments: Indexed cover-to-cover
 Documents Indexed: 1,753 Publications (since 1978) References Indexed: 38 Publications with 1,547 References.
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### Latest Issues

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### Authors

 27 Luo, Zhendong 20 Sun, Jiguang 19 Liu, Xinguo 18 Wang, Lieheng 17 Chen, Shaochun 17 Shi, Dongyang 17 Shi, Zhongci 17 Sun, Jiachang 14 Li, Hong 14 Wang, Xinghua 14 Yu, Dehao 13 Sun, Ping 12 Dai, Hua 12 Liang, Guoping 11 Feng, Minfu 11 Li, Shoufu 10 Cui, Minggen 10 Hu, Xiyan 10 Ma, Changfeng 10 Sun, Che 10 Wang, Wenqiang 10 Yuan, Guangwei 10 Zhang, Guanquan 9 Fei, Jinggao 9 Li, Kaitai 9 Qin, Mengzhao 9 Xiao, Aiguo 9 Yuan, Yirang 9 Zhou, Shuzi 9 Zhou, Tianxiao 9 Zhu, Qiding 8 Hu, Jiagan 8 Lu, Tao 8 Shen, Longjun 8 Shen, Shumin 8 Tan, Jieqing 8 You, Zhaoyong 8 Zeng, Jinping 8 Zhang, Yuhai 7 Bai, Zhongzhi 7 Cao, Liqun 7 Chen, Chuanmiao 7 Chen, Guangnan 7 Chen, Xiaoshan 7 Fang, Kui 7 Guan, Lutai 7 Han, Guoqiang 7 Hu, Qiya 7 Hu, Xiancheng 7 Huang, Hongci 7 Jian, Jinbao 7 Li, Wen 7 Liao, Anping 7 Lin, Qun 7 Shih, Yingkuang 7 Xiang, Xinmin 7 Yang, Yidu 7 Zhang, Tie 7 Zhao, Ning 7 Zhao, Shuangsuo 7 Zheng, Quan 6 Cheng, Lizhi 6 Cheng, Xiaoliang 6 Chi, Xuebin 6 Cui, Junzhi 6 Fu, Hongyuan 6 Gao, Yuelin 6 Han, Danfu 6 Huang, Daren 6 Jiang, Chengshun 6 Li, Jiaofen 6 Liu, Yang 6 Sha, Zhen 6 Wang, Fenling 6 Wang, Liantang 6 Wei, Musheng 6 Xie, Jin 6 Yang, Qingzhi 6 Yu, Xijun 6 Zhang, Kecun 6 Zhu, Benren 6 Zhu, Gongqin 5 Chen, Yiming 5 Feng, Kang 5 Huang, Jianguo 5 Huang, Ting-Zhu 5 Li, Huanrong 5 Li, Qian 5 Li, Yuesheng 5 Liu, Chengzhi 5 Liu, Dongbing 5 Pan, Chunping 5 Shen, Peiping 5 Shi, Yingguang 5 Song, Songhe 5 Song, Yongzhong 5 Sun, Jianqiang 5 Sun, Qingying 5 Sun, Zhizhong 5 Tang, Huanwen ...and 1,628 more Authors
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### Fields

 1,418 Numerical analysis (65-XX) 425 Partial differential equations (35-XX) 193 Operations research, mathematical programming (90-XX) 190 Approximations and expansions (41-XX) 139 Linear and multilinear algebra; matrix theory (15-XX) 122 Fluid mechanics (76-XX) 97 Ordinary differential equations (34-XX) 73 Mechanics of deformable solids (74-XX) 43 Integral equations (45-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 31 Operator theory (47-XX) 30 Computer science (68-XX) 26 Probability theory and stochastic processes (60-XX) 22 Statistics (62-XX) 19 Optics, electromagnetic theory (78-XX) 18 Real functions (26-XX) 18 Functions of a complex variable (30-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Statistical mechanics, structure of matter (82-XX) 13 Information and communication theory, circuits (94-XX) 12 Systems theory; control (93-XX) 11 Quantum theory (81-XX) 10 Functional analysis (46-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Biology and other natural sciences (92-XX) 7 Field theory and polynomials (12-XX) 7 Potential theory (31-XX) 7 Differential geometry (53-XX) 5 Integral transforms, operational calculus (44-XX) 4 Combinatorics (05-XX) 4 Special functions (33-XX) 4 Mechanics of particles and systems (70-XX) 4 Geophysics (86-XX) 3 History and biography (01-XX) 3 Difference and functional equations (39-XX) 3 Sequences, series, summability (40-XX) 3 Convex and discrete geometry (52-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Measure and integration (28-XX) 2 Geometry (51-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General algebraic systems (08-XX) 1 Algebraic geometry (14-XX) 1 Astronomy and astrophysics (85-XX)

### Citations contained in zbMATH Open

383 Publications have been cited 1,216 times in 1,007 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
New mixed element schemes for second order elliptic problem. Zbl 1224.65260
Chen, Shaochun; Chen, Hongru
2010
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
Estimates of $$\| B^{-1}A\|_{\infty}$$ and their applications. Zbl 0538.65015
Hu, Jiagan
1982
A remark on the optimal order of convergence of Wilson’s nonconforming element. Zbl 0607.65071
Shi, Zhongci
1986
Eigenvalue approximation from below by Wilson’s element. Zbl 1142.65435
Zhang, Zhimin; Yang, Yidu; Chen, Zhen
2007
The theory of Smale’s point estimation and the convergence of Durand-Kerner program. Zbl 0850.65089
Zhao, Fengguang; Wang, Deren
1993
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
On optimal approximation of a matrix under spectral restriction. Zbl 0592.65023
Jiang, Zhengxin; Lu, Qishao
1986
On the best operator of interpolation in $$W^ 1_ 2$$. Zbl 0605.41004
Cui, Minggen; Deng, Zhongxing
1986
Generalized polar decomposition. Zbl 0699.15004
Sun, Jiguang; Chen, Chunhui
1989
Stability and bifurcation analysis for a amensalism system with delays. Zbl 1174.34074
Zhang, Zhiping
2008
Finite element analysis of the Stokes equations with damping. Zbl 1240.76015
Liu, Demin; Li, Kaitai
2010
On spline finite element method. Zbl 0452.73062
Shih, Chung-tze
1979
Differential versus integral equations and finite versus infinite elements. Zbl 0466.65064
Feng, Kang
1980
Lower approximation of eigenvalues by the nonconforming finite element method. Zbl 1174.65514
Li, Youai
2008
Time stepping along characteristics for the finite element approximation of compressible miscible displacement in porous media. Zbl 0850.76714
Yuan, Yirang
1992
On the perturbation of the eigenvalues of a normal matrix. Zbl 0554.15009
Sun, Jiguang
1984
A family of differentiable finite elements on simplicial grids in four space dimensions. Zbl 1374.65198
Zhang, Shangyou
2016
Hermitian positive definite solutions of matrix equation $$X-A^*X^qA=Q (q>0)$$. Zbl 1121.15302
Gao, Dongjie; Zhang, Yuhai
2007
A nonconforming element like Wilson’s for second order problems. Zbl 0850.65214
Jiang, Jinsheng; Cheng, Xiaoliang
1992
Finite difference methods for a compressible miscible displacement problem in porous media. Zbl 0850.76715
Yuan, Yirang
1993
Matrix valued rational interpolants and its error formula. Zbl 0860.41018
Gu, Chuanqing; Chen, Zhibing
1995
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
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
A kind of upwind schemes for convection diffusion equations. Zbl 0850.65169
Liang, Dong
1991
Finite element nonlinear Galerkin methods for penalty Navier-Stokes equations. Zbl 0859.76040
Li, Kaitai; Zhou, Lei
1995
Scaling transformation and convergence of splittings of matrix. Zbl 0551.65016
Hu, Jiagan
1983
A positivity-preserving finite volume scheme for diffusion equations on polyhedral meshes. Zbl 1340.76055
Wang, Shuai; Hang, Xudeng; Yuan, Guangwei
2015
Extensions of the Ostrowski-Reich theorem in AOR iterations. Zbl 0603.65017
Song, Yongzhong
1985
On the numerical solution for singular integral equations with Hilbert kernel. Zbl 0687.65125
Du, Jinyuan
1989
A three-level difference scheme for two-dimensional nonlinear parabolic differential equations. Zbl 1002.65518
Dai, Weizhong; Chen, Chuandan
1989
QR decomposition and nonlinear eigenvalue problems. Zbl 0997.65527
Li, Rencang
1989
Asymptotically exact a posteriori error estimator for elements of bi-even degree. Zbl 0850.65200
Yu, Dehao
1991
Least-squares solutions of inverse problems for bisymmetric matrices. Zbl 0957.65030
Xie, Dongxiu; Zhang, Lei; Hu, Xiyan
2000
Basics of weak Galerkin finite element methods. Zbl 1374.65196
Wang, Junping; Ye, Xiu; Zhang, Ran
2016
An iterative method in the infinite element. Zbl 0451.65082
Han, Hou-de; Ying, Long-an
1979
The perturbation bounds of generalized eigenvalues of a class of matrix- pairs. Zbl 0537.15005
Sun, Jiguang
1982
The bisymmetric solution of matrix equation $$AX=B$$ over a matrix inequality constraint. Zbl 1299.65077
Li, Jiaofen; Peng, Zhenyun; Peng, Jingjing
2013
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
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
A globally convergent mixed conjugate gradient method with Wolfe line search. Zbl 1265.65114
Jiang, Xianzhen; Han, Lin; Jian, Jinbao
2012
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
Least-squares solutions of a class of inverse eigenvalue problems. Zbl 0631.65034
Sun, Jiguang
1987
Mixed finite element methods with moving grids for parabolic problems. Zbl 0656.65101
Yang, Daoqi
1988
The finite element analysis for the conduction-convection problems. Zbl 0922.76105
Shen, Shumin
1994
On a direct method for the linear complementarity problem. Zbl 0925.65111
Zhang, Lei; Hu, Xiyan
1994
Matrix Padé approximants based on generalized inverse. Zbl 0882.65025
Gu, Chuanqing
1997
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 pseudospectral collocation methods for the generalized SRLW equations. Zbl 1002.65524
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
Mixed finite element analysis and numerical simulation for Burgers equation. Zbl 0933.65117
Luo, Zhendong; Liu, Ruxun
1999
Criterion $$\alpha$$ and Newton’s method in the weak conditions. Zbl 0879.65031
Wang, Xinghua; Han, Danfu
1997
The nonlinear stability of explicit and diagonally implicit Runge-Kutta methods. Zbl 0645.65037
Li, Shoufu
1987
The positivity and convexity for Bernstein polynomials over triangles. Zbl 0587.41016
Zhou, Jianwei
1986
Superconvergence and extrapolation analysis of a new nonconforming mixed finite element approximation for parabolic equation. Zbl 1299.65214
2013
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
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
On Picard-MHSS methods for weakly nonlinear systems. Zbl 1324.65084
Wang, Yang; Wu, Yujiang; Fu, Jun
2014
High accuracy analysis of a new mixed finite element method for nonlinear Schrödinger equation. Zbl 1340.65205
Zhao, Yanmin; Shi, Dongyang; Wang, Fenling
2015
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
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
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
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
Investigation on a nonmonotone cautious BFGS algorithm. Zbl 1249.90206
Wan, Zhong; Feng, Dongdong
2011
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 the convergence properties of an ODE algorithm for unconstrained optimization. Zbl 0850.65127
Han, Lixing
1993
Convergence of two-stage iterative methods for the solution of linear systems. Zbl 0860.65019
Cao, Zhihao
1995
On modulus-based matrix splitting iteration methods for linear complementarity problems. Zbl 1289.65145
Zhang, Lili
2012
Block triangular preconditioners for generalized saddle point problems. Zbl 1224.65075
Jing, Meiqun; Cao, Yang
2010
Canonical integral equations of biharmonic elliptic boundary value problems. Zbl 0549.35035
Yu, Dehao
1982
A new cascadic multigrid method based on superconvergence and extrapolation. Zbl 1143.65403
Li, Chengliang; Chen, Chuanmiao; Xu, Xuejun
2007
A spectral gradient projection algorithm for convex constrained nonsmooth equations based on an adaptive line search. Zbl 1474.90454
Yin, Jianghua; Jian, Jinbao; Jiang, Xianzhen
2020
An efficient method for semi-infinite programming. Zbl 0916.65060
Zhou, Guanglu; Wang, Changyu; Zhang, Yuzhong
1999
The discontinuous-streamline diffusion method for first-order hyperbolic equations. Zbl 0918.65066
Sun, Che; Tang, Huaimin; Wu, Kejian
1998
Property analysis and quick solutions for nonlinear discrete schemes for conservative diffusion equation. Zbl 1340.65167
Cui, Xia; Yue, Jingyan
2015
Two splitting least-squares mixed element methods for linear Sobolev equations. Zbl 1174.65520
Gao, Fuzheng; Rui, Hongxing
2008
An alternating direction implicit difference scheme for two dimensional semilinear reaction-diffusion equation. Zbl 1174.65471
Wu, Hongwei
2008
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
Jacobi convergence analysis for delay Volterra integral equation with weak singularity. Zbl 1488.65767
Zheng, Weishan
2021
A spectral gradient projection algorithm for convex constrained nonsmooth equations based on an adaptive line search. Zbl 1474.90454
Yin, Jianghua; Jian, Jinbao; Jiang, Xianzhen
2020
Deep Hamiltonian neural networks based on symplectic integrators. Zbl 1463.68071
Zhu, Aiqing; Jin, Pengzhan; Tang, Yifa
2020
Stochastic training of residual networks in deep learning. Zbl 1463.68074
Sun, Qi; Tao, Yunzhe; Du, Qiang
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
Generalized modulus-based matrix splitting iteration methods for second-order cone linear complementarity problems. Zbl 1449.65122
Li, Zhizhi; Ke, Yifen; Chu, Risheng; Zhang, Huai
2019
Existence of solutions of a positive finite volume scheme for unsteady advection-diffusion equations. Zbl 1449.65221
Zhang, Yanmei; Lan, Bin; Sheng, Zhiqiang; Yuan, Guangwei
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
A family of differentiable finite elements on simplicial grids in four space dimensions. Zbl 1374.65198
Zhang, Shangyou
2016
Basics of weak Galerkin finite element methods. Zbl 1374.65196
Wang, Junping; Ye, Xiu; Zhang, Ran
2016
A consistent fourth-order compact scheme for solving convection-diffusion equation. Zbl 1374.65144
Wang, Tao; Liu, Tiegang
2016
Derivative-free spectral PRP projection method for solving nonlinear monotone equations with convex constraints. Zbl 1363.65090
Liu, Jinkui
2016
Trust region BB methods for unconstrained minimization. Zbl 1349.90783
Liu, Yajun; Liu, Xinwei
2016
From discrete velocity model to moment method. Zbl 1374.78202
Cai, Zhenning; Fan, Yuwei; Li, Ruo
2016
Finite element method for valuation of American lookback options. Zbl 1389.91131
Song, Haiming; Zhang, Qi; Li, Jingzhi; Liu, Hongyu
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
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
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 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
Property analysis and quick solutions for nonlinear discrete schemes for conservative diffusion equation. Zbl 1340.65167
Cui, Xia; Yue, Jingyan
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
On Picard-MHSS methods for weakly nonlinear systems. Zbl 1324.65084
Wang, Yang; Wu, Yujiang; Fu, Jun
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
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
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
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
2013
High order compact schemes for variable coefficient parabolic partial differential equations with non-smooth boundary conditions. Zbl 1299.65203
Zheng, Ning; Yin, Junfeng
2013
The construction of an $$n$$-dimensional special dilation matrix and an $$n$$-dimensional generalized interpolating refinable function vector. Zbl 1299.42117
Wang, Gang; Zhou, Xiaohui; Wang, Baoqin
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
On modulus-based matrix splitting iteration methods for linear complementarity problems. Zbl 1289.65145
Zhang, Lili
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
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
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
Parallelization of extrapolation cascadic multigrid method using OpenMP. Zbl 1289.65273
Pan, Kejia; Hu, Hongling; Chen, Chuanmiao; Tang, Jingtian
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
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
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
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
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
Investigation on a nonmonotone cautious BFGS algorithm. Zbl 1249.90206
Wan, Zhong; Feng, Dongdong
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
Self-discrete finite volume element simulation for a two-dimension unsaturated soil water flow problem. Zbl 1240.76012
Li, Huanrong; Luo, Zhendong
2011
A class of low order nonconforming finite element analysis for the sine-Gordon equation. Zbl 1249.65203
Shi, Dongyang; Zhang, Feiran
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
Block triangular preconditioners for generalized saddle point problems. Zbl 1224.65075
Jing, Meiqun; Cao, Yang
2010
Stability of Euler-Maruyama method for linear stochastic delay integro-differential equations. Zbl 1224.65011
Hu, Peng; Huang, Chengming
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 mixed finite element method for fourth-order heavy damping wave equation. Zbl 1224.65227
Liu, Yang; Li, Hong
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
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
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
A predictor-corrector method for a class of initial value problems of fractional ordinary differential equations. Zbl 1212.65275
Chen, Quanfa; Feng, Guang; Fu, Yao
2009
A corrected Uzawa method for symmetric saddle point problems. Zbl 1212.65134
Pang, Hongkui; Li, Wen
2009
Stability and bifurcation analysis for a amensalism system with delays. Zbl 1174.34074
Zhang, Zhiping
2008
Lower approximation of eigenvalues by the nonconforming finite element method. Zbl 1174.65514
Li, Youai
2008
Two splitting least-squares mixed element methods for linear Sobolev equations. Zbl 1174.65520
Gao, Fuzheng; Rui, Hongxing
2008
An alternating direction implicit difference scheme for two dimensional semilinear reaction-diffusion equation. Zbl 1174.65471
Wu, Hongwei
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
Computing reproducing kernels for $$W^m_2[a,b]$$. I. Zbl 1174.65452
Zhang, Xinjian; Long, Han
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
The implicit difference scheme for the nonlinear parabolic equations with nonlocal boundary conditions. Zbl 1174.65469
Wan, Zhengsu; Chen, Guangnan
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
...and 283 more Documents
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### Cited by 1,321 Authors

 49 Shi, Dongyang 24 Luo, Zhendong 15 Li, Hong 15 Petković, Miodrag S. 12 Gu, Chuanqing 12 Hu, Jun 12 Yuan, Yirang 12 Zhang, Shangyou 11 Hu, Xiyan 10 Bai, Zhongzhi 10 Huang, Yunqing 10 Shi, Zhongci 9 Huang, Jianguo 9 Li, Wen 9 Ma, Changfeng 9 Song, Yongzhong 9 Zhang, Lei 8 Huang, Ting-Zhu 8 Li, Rencang 8 Lin, Qun 8 Liu, Yang 8 Neta, Beny 8 Ren, Hongmin 8 Wang, Junjun 8 Yuan, Guangwei 8 Zhao, Yanmin 7 Brenner, Susanne Cecelia 7 Li, Changfeng 7 Li, Chenliang 7 Wang, Fenling 7 Wu, Qingbiao 7 Yu, Dehao 7 Zhang, Litao 7 Zheng, Hua 6 Chen, Guoliang 6 Cui, Xia 6 Dai, Hua 6 Fang, Zhichao 6 Gu, Tongxiang 6 He, Siriguleng 6 Jian, Jinbao 6 Li, Meng 6 Mei, Liquan 6 Ou, Yigui 6 Pei, Lifang 6 Sun, Tongjun 6 Teng, Fei 6 Wang, Li 6 Yang, Yidu 5 Bhatia, Rajendra 5 Chen, Chuanmiao 5 Chen, Xiaoshan 5 Chen, Yanping 5 Chen, Zhong 5 Chun, Changbum 5 Cui, Minggen 5 Feng, Xinlong 5 Gao, Wei 5 He, Yinnian 5 Huang, Na 5 Huang, Pengzhan 5 Li, Hanyu 5 Li, Jin 5 Li, Shoufu 5 Liao, Anping 5 Liu, Xingping 5 Rančić, Lidija Z. 5 Rui, Hongxing 5 Tan, Jieqing 5 Wang, Chuanlong 5 Xie, Dongxiu 5 Yang, Huaijun 5 Zeng, Jinping 5 Zhang, Shuo 5 Zhang, Zhimin 4 Adjerid, Slimane 4 Chen, Shaochun 4 Chen, Xiaoping 4 Cheng, Lizhi 4 Du, Qikui 4 Duan, Xuefeng 4 Feng, Minfu 4 Gao, Dongjie 4 Gao, Fuzheng 4 Ge, Yongbin 4 Han, Houde 4 Herceg, Đorđe D. 4 Hu, Hongling 4 Huang, Zhengda 4 Li, Jing 4 Liao, Xin 4 Lu, Linzhang 4 Mao, Shipeng 4 Peng, Zhenyun 4 Proinov, Petko D. 4 Qiu, Hailong 4 Sharma, Janak Raj 4 Sharma, Rajni 4 Shen, Quan 4 Sorokina, Tatyana ...and 1,221 more Authors
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### Cited in 160 Journals

 114 Applied Mathematics and Computation 75 Journal of Computational and Applied Mathematics 64 Computers & Mathematics with Applications 43 Applied Mathematics and Mechanics. (English Edition) 43 Linear Algebra and its Applications 33 Applied Mathematics. Series B (English Edition) 32 Applied Numerical Mathematics 30 Numerical Algorithms 26 Acta Mathematicae Applicatae Sinica. English Series 24 Journal of Scientific Computing 20 Journal of Mathematical Analysis and Applications 19 Mathematics of Computation 18 Journal of Applied Mathematics and Computing 16 Numerische Mathematik 16 Science China. Mathematics 15 Computational and Applied Mathematics 15 Mathematical Problems in Engineering 13 Computer Methods in Applied Mechanics and Engineering 13 Calcolo 13 Numerical Methods for Partial Differential Equations 12 Journal of Approximation Theory 12 Advances in Difference Equations 12 Advances in Applied Mathematics and Mechanics 11 Applied Mathematics Letters 11 Abstract and Applied Analysis 9 Science in China. Series A 9 Journal of Applied Mathematics 8 International Journal of Computer Mathematics 8 Advances in Computational Mathematics 7 Journal of Computational Physics 7 Journal of Shanghai University 6 BIT 6 Computational Optimization and Applications 6 Journal of Inequalities and Applications 6 Communications in Computational Physics 5 Mathematics and Computers in Simulation 5 Computer Aided Geometric Design 5 Mathematical and Computer Modelling 5 Applications of Mathematics 5 Applied Mathematical Modelling 5 Communications in Nonlinear Science and Numerical Simulation 5 Boundary Value Problems 4 Journal of Complexity 4 Numerical Linear Algebra with Applications 4 Wuhan University Journal of Natural Sciences (WUJNS) 4 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 4 Acta Mathematica Sinica. English Series 4 Discrete and Continuous Dynamical Systems. Series B 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Journal of Mathematics 4 East Asian Journal on Applied Mathematics 3 Applicable Analysis 3 Linear and Multilinear Algebra 3 Journal of Optimization Theory and Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Japan Journal of Industrial and Applied Mathematics 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 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) 3 Electronic Research Archive 2 Computers and Fluids 2 Computer Physics Communications 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 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Aequationes Mathematicae 2 Pattern Recognition 2 Journal of Mathematical Sciences (New York) 2 ETNA. Electronic Transactions on Numerical Analysis 2 ELA. The Electronic Journal of Linear Algebra 2 International Journal of Computational Fluid Dynamics 2 Nonlinear Dynamics 2 Soft Computing 2 Discrete Dynamics in Nature and Society 2 Qualitative Theory of Dynamical Systems 2 Nonlinear Analysis. Real World Applications 2 Mathematical Modelling and Analysis 2 Journal of Systems Science and Complexity 2 Computational Methods in Applied Mathematics 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 International Journal of Numerical Analysis and Modeling 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 2 Communications on Applied Mathematics and Computation 2 Results in Applied Mathematics 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 ...and 60 more Journals
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### Cited in 41 Fields

 817 Numerical analysis (65-XX) 251 Partial differential equations (35-XX) 131 Linear and multilinear algebra; matrix theory (15-XX) 105 Fluid mechanics (76-XX) 78 Mechanics of deformable solids (74-XX) 76 Operations research, mathematical programming (90-XX) 51 Approximations and expansions (41-XX) 43 Ordinary differential equations (34-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 20 Operator theory (47-XX) 19 Functions of a complex variable (30-XX) 19 Integral equations (45-XX) 17 Biology and other natural sciences (92-XX) 15 Computer science (68-XX) 14 Real functions (26-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Probability theory and stochastic processes (60-XX) 12 Statistics (62-XX) 11 Field theory and polynomials (12-XX) 11 Functional analysis (46-XX) 10 Systems theory; control (93-XX) 9 Mechanics of particles and systems (70-XX) 8 Information and communication theory, circuits (94-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Potential theory (31-XX) 4 Optics, electromagnetic theory (78-XX) 3 Combinatorics (05-XX) 3 Special functions (33-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Geophysics (86-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Differential geometry (53-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)