# zbMATH — the first resource for mathematics

## Journal of Computational Mathematics

 Short Title: J. Comput. Math. Publisher: Global Science Press, Hong Kong; Chinese Academy of Sciences, Institute of Computational Mathematics, Beijing ISSN: 0254-9409; 1991-7139/e Online: http://www.global-sci.org/jcm/ Comments: Indexed cover-to-cover
 Documents Indexed: 1,768 Publications (since 1983) References Indexed: 1 Publication with 12 References.
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#### Latest Issues

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#### Authors

 35 Guo, Ben-Yu 26 Lin, Qun 24 Bai, Zhongzhi 24 Shi, Zhongci 23 Han, Houde 20 Sun, Jiguang 19 Yu, Dehao 19 Yuan, Ya-xiang 18 Xu, Guoliang 17 Shi, Dongyang 17 Wang, Lieheng 15 Qin, Mengzhao 15 Xu, Jinchao 14 Li, Kaitai 14 Shen, Longjun 14 Sun, Geng 14 Tang, Tao 13 Zhu, Youlan 12 Sun, Jiachang 12 Tang, Huazhong 12 Wang, Ming 12 Wang, Renhong 11 Chen, Shaochun 11 Feng, Kang 11 Shi, Yingguang 11 Xu, Xuejun 11 Zhang, Zhimin 11 Zhou, Yulin 10 Chen, Yanping 10 Huang, Yunqing 10 Wu, Huamo 10 Yang, Danping 9 Guo, Boling 9 He, Yinnian 9 Huang, Hongci 9 Li, Shoufu 9 Ma, Changfeng 9 Ming, Pingbing 9 Xie, Xiaoping 9 Yan, Ningning 9 Zhang, Chengjian 9 Zhang, Pingwen 8 Cheng, Xiaoliang 8 Dai, Yu-Hong 8 Feng, Minfu 8 Kuang, Jiaoxun 8 Liang, Guoping 8 Liu, Xinguo 8 Lu, Tao 8 Tang, Yifa 8 Wang, Xinghua 8 Wen, Xin 8 Zhang, Guanquan 8 Zhang, Lei 8 Zhou, Aihui 7 He, Bingsheng 7 Hu, Jun 7 Hu, Xiyan 7 Jiang, Yaolin 7 Lin, Yanping 7 Liu, Mingzhu 7 Mao, Shipeng 7 Pan, Pingqi 7 Shu, Chi-Wang 7 Wang, Daoliu 7 Wang, Deren 7 Wu, Xionghua 7 Xiao, Aiguo 7 Zhang, Tie 7 Zhu, Qiding 6 Carstensen, Carsten 6 Chang, Qianshun 6 Chen, Chuanmiao 6 Chen, Jinru 6 Jin, Shi 6 Liao, Anping 6 Liu, Degui 6 Ma, Fuming 6 Sun, Wenyu 6 Wei, Ziluan 6 Ying, Lungan 6 You, Zhaoyong 6 Zhang, Guofeng 6 Zhang, Liansheng 6 Zhang, Sheng 6 Zheng, Shiming 5 Chang, Yanzhen 5 Chen, Guangnan 5 Chen, Zhiming 5 Dai, Hua 5 Feng, Yuyu 5 Han, Weimin 5 Hinze, Michael 5 Hoppe, Ronald H. W. 5 Huang, Jianguo 5 Jiang, Erxiong 5 Křížek, Michal 5 Liu, Jijun 5 Luo, Ping 5 Ng, Michael Kwok-Po ...and 1,672 more Authors
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#### Fields

 1,480 Numerical analysis (65-XX) 593 Partial differential equations (35-XX) 184 Operations research, mathematical programming (90-XX) 174 Fluid mechanics (76-XX) 131 Ordinary differential equations (34-XX) 100 Linear and multilinear algebra; matrix theory (15-XX) 86 Mechanics of deformable solids (74-XX) 84 Approximations and expansions (41-XX) 79 Calculus of variations and optimal control; optimization (49-XX) 56 Dynamical systems and ergodic theory (37-XX) 51 Integral equations (45-XX) 51 Optics, electromagnetic theory (78-XX) 31 Information and communication theory, circuits (94-XX) 30 Operator theory (47-XX) 25 Biology and other natural sciences (92-XX) 24 Probability theory and stochastic processes (60-XX) 22 Computer science (68-XX) 22 Mechanics of particles and systems (70-XX) 20 Quantum theory (81-XX) 18 Functions of a complex variable (30-XX) 17 Classical thermodynamics, heat transfer (80-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Systems theory; control (93-XX) 13 Geophysics (86-XX) 12 Real functions (26-XX) 12 Potential theory (31-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Statistics (62-XX) 7 Field theory and polynomials (12-XX) 6 History and biography (01-XX) 6 Combinatorics (05-XX) 5 Algebraic geometry (14-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Differential geometry (53-XX) 3 General and overarching topics; collections (00-XX) 3 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

1,069 Publications have been cited 6,421 times in 5,086 Documents Cited by Year
On spectral methods for Volterra integral equations and the convergence analysis. Zbl 1174.65058
Tang, Tao; Xu, Xiang; Cheng, Jin
2008
A shift-splitting preconditioner for non-Hermitian positive definite matrices. Zbl 1120.65054
Bai, Zhongzhi; Yin, Junfeng; Su, Yangfeng
2006
Difference schemes for Hamiltonian formalism and symplectic geometry. Zbl 0596.65090
Feng, Kang
1986
An anisotropic nonconforming finite element with some superconvergence results. Zbl 1074.65133
Shi, Dongyang; Mao, Shipeng; Chen, Shaochun
2005
Uniformly-stable finite element methods for Darcy-Stokes-Brinkman models. Zbl 1174.76013
Xie, Xiaoping; Xu, Jinchao; Xue, Guangri
2008
On a Hermitian and skew-Hermitian splitting iteration method for continuous Sylvester equations. Zbl 1249.65090
Bai, Zhongzhi
2011
Approximation of infinite boundary condition and its application to finite element methods. Zbl 0579.65111
Han, Houde; Wu, Xiaonan
1985
A relaxed HSS preconditioner for saddle point problems from meshfree discretization. Zbl 1299.65043
Cao, Yang; Yao, Linquan; Jiang, Meiqun; Niu, Qiang
2013
Local and parallel finite element algorithms for the Navier-Stokes problem. Zbl 1093.76035
He, Yinnian; Xu, Jinchao; Zhou, Aihui
2006
Generalized difference methods on arbitrary quadrilateral networks. Zbl 0946.65098
Li, Yonghai; Li, Ronghua
1999
A set of symmetric quadrature rules on triangles and tetrahedra. Zbl 1199.65081
Zhang, Linbo; Cui, Tao; Liu, Hui
2009
A spectral method for pantograph-type delay differential equations and its convergence analysis. Zbl 1212.65308
Ali, Ishtiaq; Brunner, Hermann; Tang, Tao
2009
Nonconforming elements in the mixed finite element method. Zbl 0573.65083
Han, Houde
1984
On Newton-HSS methods for systems of nonlinear equations with positive-definite Jacobian matrices. Zbl 1224.65133
Bai, Zhongzhi; Guo, Xueping
2010
Constrained quadrilateral nonconforming rotated $$\mathcal G_{1}$$ element. Zbl 1086.65111
Hu, Jun; Shi, Zhong-ci
2005
Jacobi spectral approximations to differential equations on the half line. Zbl 0948.65071
Guo, Benyu
2000
A new class of variational formulations for the coupling of finite and boundary element methods. Zbl 0712.65093
Han, Houde
1990
Non-stationary Stokes flows under leak boundary conditions of friction type. Zbl 0993.76014
Fujita, Hiroshi
2001
Asymptotic radiation conditions for reduced wave equation. Zbl 0559.65085
Feng, Kang
1984
Antiperiodic wavelets. Zbl 0839.42014
Chen, H. L.
1996
On the P1 Powell-Sabin divergence-free finite element for the Stokes equations. Zbl 1174.65039
Zhang, Shangyou
2008
Parallel auxiliary space AMG for $$\boldsymbol{H}$$ (curl) problems. Zbl 1212.65128
Kolev, Tzanio V.; Vassilevski, Panayot S.
2009
Multigrid methods for obstacle problems. Zbl 1199.65401
Gräser, Carsten; Kornhuber, Ralf
2009
Local discontinuous Galerkin methods for three classes of nonlinear wave equations. Zbl 1050.65093
Xu, Yan; Shu, Chiwang
2004
The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems. Zbl 1174.65014
Yin, Junfeng; Bai, Zhongzhi
2008
Construction of canonical difference schemes for Hamiltonian formalism via generating functions. Zbl 0681.70020
Feng, Kang; Wu, Huamo; Qin, Mengzhao; Wang, Daoliu
1989
On semilocal convergence of inexact Newton methods. Zbl 1142.65354
Guo, Xueping
2007
Some $$n$$-rectangle nonconforming elements for fourth order elliptic equations. Zbl 1142.65451
Wang, Ming; Shi, Zhongci; Xu, Jinchao
2007
Laguerre pseudospectral method for nonlinear partial differential equations. Zbl 1005.65115
Xu, Chenglong; Guo, Benyu
2002
A new finite element approximation of a state-constrained optimal control problem. Zbl 1199.49067
Liu, Wenbin; Gong, Wei; Yan, Ningning
2009
A modified Levenberg-Marquardt algorithm for singular system of nonlinear equations. Zbl 1032.65053
Fan, Jinyan
2003
Stability analysis and application of the exponential time differencing schemes. Zbl 1052.65081
Du, Qiang; Zhu, Wenxiang
2004
Optimal Delaunay triangulations. Zbl 1048.65020
Chen, Long; Xu, Jinchao
2004
A directional do-nothing condition for the Navier-Stokes equations. Zbl 1324.76015
Braack, Malte; Mucha, Piotr Boguslaw
2014
A new stepsize for the steepest descent method. Zbl 1101.65067
Yuan, Ya-Xiang
2006
Symplectic partitioned Runge-Kutta methods. Zbl 0789.65049
Sun, Geng
1993
Linear finite elements with high accuracy. Zbl 0577.65094
Lin, Qun; Xu, Jinchao
1985
Fixed-point continuation applied to compressed sensing: Implementation and numerical experiments. Zbl 1224.65153
Hale, Elaine T.; Yin, Wotao; Zhang, Yin
2010
A posteriori error estimates for finite element approximations of the Cahn-Hilliard equation and the Hele-Shaw flow. Zbl 1174.65035
Feng, Xiaobing; Wu, Haijun
2008
Error estimates for the recursive linearization of inverse medium problems. Zbl 1240.35574
Bao, Gang; Triki, Faouzi
2010
A note on Jacobi spectral-collocation methods for weakly singular Volterra integral equations with smooth solutions. Zbl 1289.65284
Chen, Yanping; Li, Xianjuan; Tang, Tao
2013
Modified Morley element method for a fourth order elliptic singular perturbation problem. Zbl 1102.65118
Wang, Ming; Xu, Jin-chao; Hu, Yucheng
2006
An anisotropic nonconforming finite element method for approximating a class of nonlinear Sobolev equations. Zbl 1212.65457
Shi, Dongyang; Wang, Haihong; Du, Yuepeng
2009
Nonlinear stability of natural Runge-Kutta methods for neutral delay differential equations. Zbl 1018.65101
Zhang, Chengjian
2002
Two-step modulus-based synchronous multisplitting iteration methods for linear complementarity problems. Zbl 1340.65124
Zhang, Lili
2015
Generalized Laguerre approximation and its applications to exterior problems. Zbl 1073.65130
Guo, Benyu; Shen, Jie; Xu, Chenglong
2005
Variational discretization for optimal control governed by convection dominated diffusion equations. Zbl 1212.65248
Hinze, Michael; Yan, Ningning; Zhou, Zhaojie
2009
Proximal point algorithm for minimization of DC function. Zbl 1107.90427
Sun, Wenyu; Sampaio, Raimundo J. B.; Candido, M. A. B.
2003
A note on simple non-zero singular values. Zbl 0662.15008
Sun, Jiguang
1988
A regularized conjugate gradient method for symmetric positive definite system of linear equations. Zbl 1002.65040
Bai, Zhongzhi; Zhang, Shaoliang
2002
A family of parallel and interval iterations for finding all roots of a polynomial simultaneously with rapid convergence. Zbl 0541.65028
Wang, Xinghua; Zheng, Shiming
1984
An LQP based interior prediciton-correction method for nonlinear complementarity problems. Zbl 1109.65054
He, Bingsheng; Liao, Lizhi; Yuan, Xiaoming
2006
A posteriori error estimates in Adini finite element for eigenvalue problems. Zbl 0957.65092
Yang, Yidu
2000
Superconvergence of DG method for one-dimensional singularly perturbed problems. Zbl 1142.65388
Xie, Ziqing; Zhang, Zhimin
2007
Eigenvalues and eigenvectors of a matrix dependent on several parameters. Zbl 0618.15009
Sun, Jiguang
1985
Explicit error estimates for Courant, Crouzeix-Raviart and Raviart-Thomas finite element methods. Zbl 1274.65290
Carstensen, Carsten; Gedicke, Joscha; Rim, Donsub
2012
A priori error estimate and superconvergence analysis for an optimal control problem of bilinear type. Zbl 1174.49002
Yang, Danping; Chang, Yanzhen; Liu, Wenbin
2008
A numerical study of uniform superconvergence of LDG method for solving singularly perturbed problems. Zbl 1212.65422
Xie, Ziqing; Zhang, Zuozheng; Zhang, Zhimin
2009
Optimal error estimates for Nédélec edge elements for time-harmonic Maxwell’s equations. Zbl 1212.65467
Zhong, Liuqiang; Shu, Shi; Wittum, Gabriel; Xu, Jinchao
2009
On the minimal nonnegative solution of nonsymmetric algebraic Riccati equation. Zbl 1079.65052
Guo, Xiaoxia; Bai, Zhongzhi
2005
Testing different conjugate gradient methods for large-scale unconstrained optimization. Zbl 1041.65048
Dai, Yuhong; Ni, Qin
2003
Coercivity of the single layer heat potential. Zbl 0672.65092
Arnold, Douglas N.; Noon, Patrick J.
1989
Construction of high order symplectic Runge-Kutta methods. Zbl 0787.65053
Sun, Geng
1993
Optimal and pressure-independent $$L^2$$ velocity error estimates for a modified Crouzeix-Raviart Stokes element with BDM reconstructions. Zbl 1340.76024
Brennecke, C.; Linke, A.; Merdon, C.; Schöberl, J.
2015
Shock and boundary structure formation by spectral-Lagrangian methods for the inhomogeneous Boltzmann transport equation. Zbl 1228.76138
Gamba, Irene M.; Tharkabhushanam, Sri Harsha
2010
Linear convergence of the LZI algorithm for weakly positive tensors. Zbl 1265.65065
Zhang, Liping; Qi, Liqun; Xu, Yi
2012
The mechanical quadrature methods and their extrapolation for solving BIE of Steklov eigenvalue problems. Zbl 1069.65123
Huang, Jin; Lü, Tao
2004
Least-squares solution of $$AXB= D$$ over symmetric positive semidefinite matrices $$X$$. Zbl 1029.65042
Liao, Anping; Bai, Zhongzhi
2003
A class of asynchronous parallel multisplitting relaxation methods for large sparse linear complementarity problems. Zbl 1047.65041
Bai, Zhongzhi; Huang, Yuguang
2003
A two-level finite element Galerkin method for the nonstationary Navier-Stokes equations. I: Spatial discretization. Zbl 1137.76412
He, Yinnian
2004
A two-level finite element Galerkin method for the nonstationary Navier-Stokes equations. II: Time discretization. Zbl 1137.76413
He, Yinnian; Miao, Huanling; Ren, Chunfeng
2004
A modified projection and contraction method for a class of linear complementarity problems. Zbl 0854.65047
He, B. S.
1996
Convergence of Newton’s method for systems of equations with constant rank derivatives. Zbl 1150.49011
Xu, Xiubin; Li, Chong
2007
Non-quasi-Newton updates for unconstrained optimization. Zbl 0823.65062
Yuan, Yaxiang; Byrd, Richard H.
1995
Finite element approximations of symmetric tensors on simplicial grids in $$\mathbb R^n$$: the higher order case. Zbl 1340.74095
Hu, Jun
2015
Exponential Fourier collocation methods for solving first-order differential equations. Zbl 1413.65309
Wang, Bin; Wu, Xinyuan; Meng, Fanwei; Fang, Yonglei
2017
Compact fourth-order finite difference schemes for Helmholtz equation with high wave numbers. Zbl 1174.65042
Fu, Yiping
2008
Direct minimization for calculating invariant subspaces in density functional computations of the electronic structure. Zbl 1212.81001
Schneider, Reinhold; Rohwedder, Thorsten; Neelov, Alexey; Blauert, Johannes
2009
An efficient method for computing hyperbolic systems with geometrical source terms having concentrations. Zbl 1119.65373
Jin, Shi; Wen, Xin
2004
A coarsening algorithm on adaptive grids by newest vertex bisection and its applications. Zbl 1240.65350
Chen, Long; Zhang, Chensong
2010
The quasi-Newton method in parallel circular iteration. Zbl 0558.65029
Wang, Xinghua; Zheng, Shiming
1984
Essentially symplectic boundary value methods for linear Hamiltonian systems. Zbl 0884.65070
Brugnano, L.
1997
Multivariate Fourier series over a class of non tensor-product partition domains. Zbl 1030.65143
Sun, Jiachang
2003
The solvability conditions for the inverse problem of bisymmetric nonnegative definite matrices. Zbl 0966.15008
Xie, Dongxiu; Zhang, Lei; Hu, Xiyan
2000
Robust globally divergence-free weak Galerkin methods for Stokes equations. Zbl 1389.76027
Chen, Gang; Feng, Minfu; Xie, Xiaoping
2016
An analysis of sharp superconvergence of local discontinuous Galerkin method for one-dimensional linear parabolic equations. Zbl 1340.65193
Yang, Yang; Su, Chi-Wang
2015
A sparse-grid method for multi-dimensional backward stochastic differential equations. Zbl 1289.65011
Zhang, Guannan; Gunzburger, Max; Zhao, Weidong
2013
Framelet based deconvolution. Zbl 1224.65316
Cai, Jianfeng; Shen, Zuowei
2010
Non $$C^0$$ nonconforming elements for elliptic fourth order singular perturbation problem. Zbl 1069.65125
Chen, Shaochun; Zhao, Yongchen; Shi, Dongyang
2005
Alternating projection based prediction-correction methods for structured variational inequalities. Zbl 1133.65041
He, Bing-sheng; Liao, Li-zhi; Qian, Mai-jian
2006
Hanging nodes in the unifying theory of a posteriori finite element error control. Zbl 1212.65423
Carstensen, C.; Hu, Jun
2009
Convergence of adaptive edge element methods for the 3D eddy currents equations. Zbl 1212.65126
Hoppe, R. H. W.; Schöberl, J.
2009
A Legendre pseudospectral method for solving nonlinear Klein-Gordon equation. Zbl 0876.65073
Li, Xun; Guo, B. Y.
1997
Composite Legendre-Laguerre approximation in unbounded domains. Zbl 0980.65135
Guo, Benyu; Ma, Heping
2001
On the approximation of linear Hamiltonian systems. Zbl 0656.70016
Ge, Zhong; Feng, Kang
1988
A numerical method for a system of generalized nonlinear Schrödinger equations. Zbl 0599.65085
Chang, Qianshun; Xu, Linbao
1986
On $$L^2$$ error estimates for weak Galerkin finite element methods for parabolic problems. Zbl 1313.65246
Gao, Fuzheng; Mu, Lin
2014
A stopping criterion for higher-order sweeping schemes for static Hamilton-Jacobi equations. Zbl 1240.65317
Serna, Susana; Qian, Jianliang
2010
Maximum norm estimate, extrapolation and optimal points of stresses for the finite element methods on the strongly regular triangulation. Zbl 0563.65070
Lin, Qun; Lü, Tao; Shen, Shumin
1983
Finite element and discontinuous Galerkin method for stochastic Helmholtz equation in two-and three-dimensions. Zbl 1174.65001
Cao, Yanzhao; Zhang, Ran; Zhang, Kai
2008
Uniform stability and error analysis for some discontinuous Galerkin methods. Zbl 07366097
Hong, Qingguo; Xu, Jinchao
2021
Computational multiscale methods for linear heterogeneous poroelasticity. Zbl 1463.65284
Altmann, Robert; Chung, Eric; Maier, Roland; Peterseim, Daniel; Pun, Saimang
2020
ReLU deep neural networks and linear finite elements. Zbl 1463.68072
He, Juncai; Li, Lin; Xu, Jinchao; Zheng, Chunyue
2020
Convergence of Laplacian spectra from random samples. Zbl 07338699
Tao, Wenqi; Shi, Zuoqiang
2020
A robust discretization of the Reissner-Mindlin plate with arbitrary polynomial degree. Zbl 1463.65367
Gallistl, Dietmar; Schedensack, Mira
2020
The quadratic Specht triangle. Zbl 1463.65375
Li, Hongliang; Ming, Pingbing; Shi, Zhongci
2020
How to prove the discrete reliability for nonconforming finite element methods. Zbl 1463.65362
Carstensen, Carsten; Puttkammer, Sophie
2020
Efficient linear schemes with unconditional energy stability for the phase field model of solid-state dewetting problems. Zbl 1463.65291
Chen, Jie; He, Zhengkang; Sun, Shuyu; Guo, Shimin; Chen, Zhangxin
2020
Convergence and optimality of adaptive mixed methods for Poisson’s equation in the FEEC framework. Zbl 1463.65371
Holst, Michael; Li, Yuwen; Mihalik, Adam; Szypowski, Ryan
2020
An unfitted $$hp$$-interface penalty finite element method for elliptic interface problems. Zbl 1449.65326
Wu, Haijun; Xiao, Yuanming
2019
Unconditionally superclose analysis of a new mixed finite element method for nonlinear parabolic equations. Zbl 1438.65292
Shi, Dongyang; Yan, Fengna; Wang, Junjun
2019
Improved relaxed positive-definite and skew-Hermitian splitting preconditioners for saddle point problems. Zbl 1438.65035
Cao, Yang; Ren, Zhiru; Yao, Linquan
2019
$${C^0}$$ discontinuous Galerkin methods for a plate frictional contact problem. Zbl 1463.74094
Wang, Fei; Zhang, Tianyi; Han, Weimin
2019
Regularized two-stage stochastic variational inequalities for Cournot-Nash equilibrium under uncertainty. Zbl 07266714
Jiang, Jie; Shi, Yun; Wang, Xiaozhou; Chen, Xiaojun
2019
Alternating direction implicit schemes for the two-dimensional time fractional nonlinear super-diffusion equations. Zbl 1449.65181
2019
On the validity of the local Fourier analysis. Zbl 1449.65374
Rodrigo, Carmen; Gaspar, Francisco J.; Zikatanov, Ludmil T.
2019
A discontinuous Galerkin method by patch reconstruction for biharmonic problem. Zbl 1449.65321
Li, Ruo; Ming, Pingbing; Sun, Zhiyuan; Yang, Fanyi; Yang, Zhijian
2019
Numerical analysis of elliptic hemivariational inequalities for semipermeable media. Zbl 1449.65137
Han, Weimin; Huang, Ziping; Wang, Cheng; Xu, Wei
2019
The factorization method for a mixed scattering problem from a bounded obstacle and an open arc. Zbl 1449.78013
Wu, Qinghua; Zeng, Meilan; Xiong, Wentao; Yan, Guozheng; Guo, Jun
2019
Numerical solutions of nonautonomous stochastic delay differential equations by discontinuous Galerkin methods. Zbl 1449.65005
Dai, Xinjie; Xiao, Aiguo
2019
A fourth-order compact and conservative difference scheme for the generalized Rosenau-Korteweg de Vries equation in two dimensions. Zbl 1449.65200
Wang, Jue; Zeng, Qingnan
2019
Uniformly convergent nonconforming tetrahedral element for Darcy-Stokes problem. Zbl 1438.65284
Dong, Lina; Chen, Shaochun
2019
Parareal algorithms applied to stochastic differential equations with conserved quantities. Zbl 1438.60096
Zhang, Liying; Zhou, Weien; Ji, Lihai
2019
The high order block RIP condition for signal recovery. Zbl 1438.94033
Li, Yaling; Chen, Wengu
2019
Singularity-free numerical scheme for the stationary Wigner equation. Zbl 1438.65272
Lu, Tiao; Sun, Zhangpeng
2019
A unified algorithmic framework of symmetric Gauss-Seidel decomposition based proximal ADMMs for convex composite programming. Zbl 1463.90154
Chen, Liang; Sun, Defeng; Toh, Kim Chuan; Zhang, Ning
2019
Weak error estimates for trajectories of SPDEs under spectral Galerkin discretization. Zbl 1413.65008
Brehier, Charles Edouard; Hairer, Martin; Stuart, Andrew M.
2018
Exponential integrators for stochastic Schrödinger equations driven by Itô noise. Zbl 1413.65006
Anton, Rikard; Cohen, David
2018
A BIE-based DtN-FEM for fluid-solid interaction problems. Zbl 1413.74097
Yin, Tao; Rathsfeld, Andreas; Xu, Liwei
2018
The reconstruction of obstacles in a waveguide using finite elements. Zbl 1413.78006
Zhang, Ruming; Sun, Jiguang
2018
Decoupled energy stable scheme for hydrodynamic Allen-Cahn phase field moving contact line model. Zbl 1424.76022
Chen, Rui; Yang, Xiaofeng; Zhang, Hui
2018
An over-penalized weak Galerkin method for second-order elliptic problems. Zbl 1424.65221
Liu, Kaifang; Song, Lunji; Zhou, Shuangfeng
2018
Fast spectral Galerkin method for logarithmic singular equations on a segment. Zbl 1413.65485
Jerez, Hanckes Carlos; Nicaise, Serge; Urzua, Torres Carolina
2018
Eigenvalues of the Neumann-Poincare operator for two inclusions with contact of order $$m$$: a numerical study. Zbl 1413.65417
Bonnetier, Eric; Triki, Faouzi; Tsou, Chun Hsiang
2018
Analysis of multi-index Monte Carlo estimators for a Zakai SPDE. Zbl 1413.65010
Reisinger, Christoph; Wang, Zhenru
2018
A first-order numerical scheme for forward-backward stochastic differential equations in bounded domains. Zbl 1413.65012
Yang, Jie; Zhang, Guannan; Zhao, Weidong
2018
On doubly positive semidefinite programming relaxations. Zbl 1413.90197
Fu, Taoran; Ge, Dongdong; Ye, Yinyu
2018
Parallel stochastic Newton method. Zbl 1413.65247
Mutny, Mojmir; Richtarik, Peter
2018
Transformations for the prize-collecting Steiner tree problem and the maximum-weight connected subgraph problem to sap. Zbl 1413.90228
Rehfeldt, Daniel; Koch, Thorsten
2018
A weak Galerkin finite element method for the linear elasticity problem in mixed form. Zbl 1424.74046
Wang, Ruishu; Zhang, Ran
2018
Heterogeneous multiscale method for optimal control problem governed by elliptic equations with highly oscillatory coefficients. Zbl 1424.49024
Ge, Liang; Yan, Ningning; Wang, Lianhai; Liu, Wenbin; Yang, Danping
2018
Optimal quadratic Nitsche extended finite element method for interface problem of diffusion equation. Zbl 1424.65226
Wang, Fei; Zhang, Shuo
2018
A survey of open cavity scattering problems. Zbl 1413.78005
Li, Peijun
2018
On effective stochastic Galerkin finite element method for stochastic optimal control governed by integral-differential equations with random coefficients. Zbl 1413.65431
Shen, Wanfang; Ge, Liang
2018
A sparse grid stochastic collocation and finite volume element method for constrained optimal control problem governed by random elliptic equations. Zbl 1413.65408
Ge, Liang; Sun, Tongjun
2018
A trust-region-based alternating least-squares algorithm for tensor decompositions. Zbl 1413.90178
Jiang, Fan; Han, Deren; Zhang, Xiaofei
2018
A complete characterization of the robust isolated calmness of nuclear norm regularized convex optimization problems. Zbl 1413.90199
Cui, Ying; Sun, Defeng
2018
Exponential Fourier collocation methods for solving first-order differential equations. Zbl 1413.65309
Wang, Bin; Wu, Xinyuan; Meng, Fanwei; Fang, Yonglei
2017
Error estimates of finite element methods for stochastic fractional differential equations. Zbl 1399.65212
Li, Xiaocui; Yang, Xiaoyuan
2017
A second-order convex splitting scheme for a Cahn-Hilliard equation with variable interfacial parameters. Zbl 1413.65326
Li, Xiao; Qiao, Zhonghua; Zhang, Hui
2017
Finite element exterior calculus for evolution problems. Zbl 1399.65252
Gillette, Andrew; Holst, Michael; Zhu, Yunrong
2017
A decoupling method with different subdomain time steps for the non-stationary Navier-Stokes/Darcy model. Zbl 1399.65254
Jia, Huiyong; Shi, Peilin; Li, Kaitai; Jia, Hongen
2017
A multigrid semismooth Newton method for semilinear contact problems. Zbl 1413.65447
Ulbrich, Michael; Ulbrich, Stefan; Bratzke, Daniela
2017
The alternating direction methods for solving the Sylvester-type matrix equation $$AXB + CX^{\text{T}}D = E^*$$. Zbl 1413.65140
Ke, Yifen; Ma, Changfeng
2017
Iterative $${\ell_1}$$ minimization for non-convex compressed sensing. Zbl 1413.90223
Yin, Penghang; Xin, Jack
2017
A cascadic multigrid method for eigenvalue problem. Zbl 1399.65351
Han, Xiaole; Xie, Hehu; Xu, Fei
2017
ExtraPush for convex smooth decentralized optimization over directed networks. Zbl 1413.90211
Zeng, Jinshan; Yin, Wotao
2017
Detection of electromagnetic inclusions using topological sensitivity. Zbl 1413.35284
Wahab, Abdul; Abbas, Tasawar; Ahmed, Naveed; Zia, Qazi Muhammad Zaigham
2017
Grid-independent construction of multistep methods. Zbl 1413.65270
Arevalo, Carmen; Soderlind, Gustaf
2017
A linearly-fitted conservative (dissipative) scheme for efficiently solving conservative (dissipative) nonlinear wave PDEs. Zbl 1413.65369
Liu, Kai; Wu, Xinyuan; Shi, Wei
2017
Hermite WENO schemes with strong stability preserving multi-step temporal discretization methods for conservation laws. Zbl 1399.65192
Cai, Xiaofeng; Zhu, Jun; Qiu, Jianxian
2017
Improved Entropy-Ultra-Bee scheme for the Euler system of gas dynamics. Zbl 1399.65194
Chen, Rongsan; Mao, Dekang
2017
Local analysis of the fully discrete local discontinuous Galerkin method for the time-dependent singularly perturbed problem. Zbl 1399.65245
Cheng, Yao; Zhang, Qiang
2017
A parallel algorithm for the solution of large-scale nonconforming fluid-structure interaction problems in hemodynamics. Zbl 1399.65237
Forti, Davide; Quarteroni, Alfio; Deparis, Simone
2017
On PMHSS iteration methods for continuous Sylvester equations. Zbl 1413.65130
Dong, Yongxin; Gu, Chuanqing
2017
Stability analysis for nonlinear Schrödinger equations with nonlinear absorbing boundary conditions. Zbl 1389.35296
Zhang, Jiwei; Xu, Zhenli; Wu, Xiaonan; Wang, Desheng
2017
Energy stable numerical method for the TDGL equation with the reticular free energy in hydrogel. Zbl 1399.65160
Liao, Dong; Zhang, Hui; Zhang, Zhengru
2017
Local structure-preserving algorithms for the KdV equation. Zbl 1413.65459
Wang, Jialing; Wang, Yushun
2017
Collaborative resource allocation over a hybrid cloud center and edge server network. Zbl 1413.90202
Huang, Houfeng; Ling, Qing; Shi, Wei; Wang, Jinlin
2017
An inexact smoothing Newton method for Euclidean distance matrix optimization under ordinal constraints. Zbl 1413.90265
Li, Qingna; Qi, Houduo
2017
Recursive integral method for the nonlinear non-self adjoint transmission eigenvalue problem. Zbl 1413.35363
Xi, Yingxia; Ji, Xia
2017
Robust globally divergence-free weak Galerkin methods for Stokes equations. Zbl 1389.76027
Chen, Gang; Feng, Minfu; Xie, Xiaoping
2016
A modified HSS iteration method for solving the complex linear matrix equation $$AXB = C$$. Zbl 1374.65077
Zhou, Rong; Wang, Xiang; Zhou, Peng
2016
Implicit-explicit scheme for the Allen-Cahn equation preserves the maximum principle. Zbl 1374.65154
Tang, Tao; Yang, Jiang
2016
An exponential wave integrator pseudo-spectral method for the symmetric regularized-long-wave equation. Zbl 1363.65179
Zhao, Xiaofei
2016
A sixth order averaged vector field method. Zbl 1374.65206
Li, Haochen; Wang, Yushun; Lsec, Mengzhao Qin
2016
High order local discontinuous Galerkin methods for the Allen-Cahn equation: analysis and simulation. Zbl 1363.65162
Guo, Ruihan; Ji, Liangyue; Xu, Yan
2016
Local superconvergence of continuous Galerkin solutions for delay differential equations of pantograph type. Zbl 1363.65113
Xu, Xiuxiu; Huang, Qiumei; Chen, Hongtao
2016
Optimal a posteriori error estimates of the local discontinuous Galerkin method for convection-diffusion problems in one space dimension. Zbl 1374.65152
Baccouch, Mahboub
2016
Limited tomography reconstruction via tight frame and simultaneous sinogram extrapolation. Zbl 1374.92076
Choi, Jae Kyu; Dong, Bin; Zhang, Xiaoqun
2016
Variational image fusion with first and second-order gradient information. Zbl 1363.68217
Li, Fang; Zeng, Tieyong
2016
The implicit convex feasibility problem and its application to adaptive image denoising. Zbl 1374.90305
Censor, Yair; Gibali, Aviv; Lenzen, Frank; Schnorr, Christoph
2016
Robust frame based X-ray CT reconstruction. Zbl 1374.92083
Li, Jia; Miao, Chuang; Shen, Zuowei; Wang, Ge; Yu, Hengyong
2016
Fourth-order compact schemes for Helmholtz equations with piecewise wave numbers in the polar coordinates. Zbl 1374.65186
Su, Xiaolu; Feng, Xiufang; Li, Zhilin
2016
Reducing staircasing artifacts in SPECT reconstruction by an infimal convolution regularization. Zbl 1374.92095
Wu, Zhifeng; Li, Si; Zeng, Xueying; Xu, Yuesheng; Krol, Andrzej
2016
Convergence rates of moving mesh Rannacher methods for PDEs of Asian options pricing. Zbl 1363.65130
Ma, Jingtang; Zhou, Zhiqiang
2016
Positive definite and semi-definite splitting methods for non-Hermitian positive definite linear systems. Zbl 1363.65050
Huang, Na; Ma, Changfeng
2016
Strong predictor-corrector methods for stochastic pantograph equations. Zbl 1363.65006
Xiao, Feiyan; Wang, Peng
2016
Optimal solver for Morley element discretization of biharmonic equation on shape-regular grids. Zbl 1363.65199
Feng, Chunsheng; Zhang, Shuo
2016
Plane waves numerical stability of some explicit exponential methods for cubic Schrödinger equation. Zbl 1374.65150
2016
A retrospective trust region algorithm with trust region converging to zero. Zbl 1374.65098
Fan, Jinyan; Pan, Jianyu; Song, Hongyan
2016
A weak Galerkin mixed finite element method for second-order elliptic equations with Robin boundary conditions. Zbl 1374.65197
Zhang, Qian; Zhang, Ran
2016
Permeability computation on a representative volume element (RVE) of unidirectional disordered fiber arrays. Zbl 1363.76038
Hitti, Karim; Feghali, Stephanie; Bernacki, Marc
2016
A numerical method for solving nonlinear integro-differential equations of Fredholm type. Zbl 1363.65219
Boglaev, Igor
2016
Symplectic schemes for telegraph equations. Zbl 1363.65216
Lu, Yi; Jiang, Yaolin
2016
A parameter-self-adjusting Levenberg-Marquardt method for solving nonsmooth equations. Zbl 1363.65102
Qi, Liyan; Xiao, Xiantao; Zhang, Liwei
2016
Ageneral high-order multi-domain hybrid DG/WENO-FD method for hyperbolic conservation laws. Zbl 1363.65160
Cheng, Jian; Wang, Kun; Liu, Tiegang
2016
The exact recovery of sparse signals via orthogonal matching pursuit. Zbl 1363.94025
Liao, Anping; Xie, Jiaxin; Yang, Xiaobo; Wang, Peng
2016
An efficient numerical method for fractional differential equations with two Caputo derivatives. Zbl 1363.65120
Yang, Shuiping; Xiao, Aiguo
2016
Two-step modulus-based synchronous multisplitting iteration methods for linear complementarity problems. Zbl 1340.65124
Zhang, Lili
2015
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#### Cited by 5,749 Authors

 86 Shi, Dongyang 58 Guo, Ben-Yu 49 Huang, Yunqing 45 Ma, Changfeng 44 Chen, Yanping 30 Zhang, Zhimin 27 Shu, Chi-Wang 26 He, Yinnian 26 Hu, Jun 26 Zhang, Guofeng 25 Bai, Zhongzhi 25 Han, Houde 24 Chen, Shaochun 24 Dehghan Takht Fooladi, Mehdi 24 Shang, Yueqiang 24 Zhang, Chengjian 24 Zhang, Shangyou 23 Gatica, Gabriel N. 23 Li, Shoufu 23 Petković, Miodrag S. 23 Xu, Jinchao 22 Bao, Weizhu 22 Brenner, Susanne Cecelia 22 Carstensen, Carsten 22 Lin, Qun 22 Wang, Wansheng 22 Wang, Zhongqing 21 Cao, Yang 21 Shi, Zhongci 21 Wu, Yujiang 20 Wang, Renhong 19 Chen, Long 19 Luo, Zhendong 19 Sayas, Francisco-Javier 18 Argyros, Ioannis Konstantinos 18 Huang, Ting-Zhu 18 Mao, Shipeng 18 Qin, Mengzhao 18 Tang, Yifa 18 Yan, Ningning 18 Yang, Aili 18 Yang, Danping 17 Wang, Xiang 17 Xie, Xiaoping 17 Yang, Yidu 17 Zhang, Jiwei 17 Zhang, Luming 16 Brunner, Hermann 16 Du, Qiang 16 Li, Zi-Cai 16 Nelakanti, Gnaneshwar 16 Wang, Yuanming 16 Wang, Yushun 16 Zhou, Aihui 15 He, Wenming 15 Huang, Zhongyi 15 Merdon, Christian 15 Qi, Liqun 15 Sun, Wenyu 15 Wang, Tianjun 15 Wei, Yimin 15 Xie, Hehu 15 Zhang, Shuo 15 Zhang, Tie 15 Zheng, Chunxiong 14 Li, Jichun 14 Linke, Alexander 14 Wang, Qingwen 14 Wen, Liping 14 Zhu, Detong 13 Bi, Hai 13 Chen, Guoliang 13 Gong, Wei 13 Guo, Hui 13 Han, Weimin 13 Hong, Jialin 13 Huang, Chengming 13 Ju, Lili 13 Qiu, Jianxian 13 Shu, Shi 13 Xu, Yan 13 Yuan, Xiaoming 13 Zhu, Qiding 12 Baccouch, Mahboub 12 Dai, Hua 12 Huang, Xuehai 12 Khojasteh Salkuyeh, Davod 12 Li, Yonghai 12 Sun, Zhizhong 12 Tang, Tao 12 Wang, Tingchun 12 Wei, Zengxin 12 Xu, Guoliang 12 Yang, Jiming 11 Du, Qikui 11 Duan, Huoyuan 11 Fan, Jinyan 11 Guo, Boling 11 Guo, Xueping 11 Hajarian, Masoud ...and 5,649 more Authors
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#### Cited in 378 Journals

 449 Journal of Computational and Applied Mathematics 444 Applied Mathematics and Computation 301 Computers & Mathematics with Applications 260 Journal of Scientific Computing 224 Journal of Computational Physics 211 Applied Numerical Mathematics 131 Mathematics of Computation 126 Numerical Algorithms 125 Computer Methods in Applied Mechanics and Engineering 107 Numerische Mathematik 99 Linear Algebra and its Applications 81 Numerical Methods for Partial Differential Equations 78 Advances in Computational Mathematics 75 SIAM Journal on Scientific Computing 73 Computational and Applied Mathematics 67 Acta Mathematicae Applicatae Sinica. English Series 64 SIAM Journal on Numerical Analysis 63 BIT 61 Journal of Mathematical Analysis and Applications 61 Science China. Mathematics 58 Journal of Optimization Theory and Applications 48 Applied Mathematics Letters 48 Mathematical Problems in Engineering 47 Applied Mathematics and Mechanics. (English Edition) 40 Computational Optimization and Applications 37 Calcolo 36 Journal of Applied Mathematics and Computing 33 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 32 Science in China. Series A 32 Abstract and Applied Analysis 30 Applied Mathematical Modelling 29 Journal of Applied Mathematics 28 Journal of Inequalities and Applications 28 East Asian Journal on Applied Mathematics 27 Numerical Linear Algebra with Applications 26 Applications of Mathematics 25 Mathematical Methods in the Applied Sciences 25 Engineering Analysis with Boundary Elements 23 Computers and Fluids 23 Mathematics and Computers in Simulation 23 Frontiers of Mathematics in China 20 Computational Methods in Applied Mathematics 19 Computing 19 Communications in Nonlinear Science and Numerical Simulation 19 Journal of Systems Science and Complexity 18 Inverse Problems 18 Linear and Multilinear Algebra 18 Computer Aided Geometric Design 18 Applied Mathematics. Series B (English Edition) 18 Advances in Difference Equations 17 Mathematical and Computer Modelling 17 Japan Journal of Industrial and Applied Mathematics 16 International Journal of Computer Mathematics 16 Acta Mathematica Sinica. English Series 15 Journal of Global Optimization 15 Mathematical Programming. Series A. Series B 14 International Journal for Numerical Methods in Engineering 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Discrete Dynamics in Nature and Society 13 Nonlinear Analysis. Real World Applications 13 Multiscale Modeling & Simulation 12 Journal of Approximation Theory 12 European Journal of Operational Research 12 Optimization Methods & Software 12 Discrete and Continuous Dynamical Systems. Series B 12 Boundary Value Problems 12 SIAM Journal on Imaging Sciences 11 Journal of Differential Equations 11 Optimization Letters 10 Computer Physics Communications 10 Physica D 10 Journal of Integral Equations and Applications 10 ETNA. Electronic Transactions on Numerical Analysis 10 Lobachevskii Journal of Mathematics 9 Journal of the Franklin Institute 9 SIAM Journal on Matrix Analysis and Applications 9 SIAM Journal on Optimization 9 Applied and Computational Harmonic Analysis 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Journal of the Operations Research Society of China 8 Wave Motion 8 SIAM Journal on Control and Optimization 8 SIAM Journal on Applied Mathematics 8 Communications in Numerical Methods in Engineering 8 Discrete and Continuous Dynamical Systems 8 International Journal of Computational Methods 8 Results in Applied Mathematics 7 Applicable Analysis 7 RAIRO. Modélisation Mathématique et Analyse Numérique 7 Optimization 7 Journal of Complexity 7 Computational Mechanics 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 SIAM Journal on Mathematical Analysis 7 Journal of Inverse and Ill-Posed Problems 7 Journal of Shanghai University 7 Mediterranean Journal of Mathematics 7 Inverse Problems in Science and Engineering 7 S$$\vec{\text{e}}$$MA Journal 7 Journal of Function Spaces ...and 278 more Journals
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#### Cited in 54 Fields

 4,049 Numerical analysis (65-XX) 1,515 Partial differential equations (35-XX) 678 Fluid mechanics (76-XX) 548 Operations research, mathematical programming (90-XX) 336 Linear and multilinear algebra; matrix theory (15-XX) 331 Calculus of variations and optimal control; optimization (49-XX) 312 Mechanics of deformable solids (74-XX) 291 Ordinary differential equations (34-XX) 226 Integral equations (45-XX) 181 Optics, electromagnetic theory (78-XX) 144 Approximations and expansions (41-XX) 144 Operator theory (47-XX) 124 Dynamical systems and ergodic theory (37-XX) 92 Probability theory and stochastic processes (60-XX) 75 Biology and other natural sciences (92-XX) 74 Information and communication theory, circuits (94-XX) 71 Statistical mechanics, structure of matter (82-XX) 69 Mechanics of particles and systems (70-XX) 66 Computer science (68-XX) 52 Systems theory; control (93-XX) 46 Harmonic analysis on Euclidean spaces (42-XX) 40 Functions of a complex variable (30-XX) 40 Quantum theory (81-XX) 37 Real functions (26-XX) 35 Classical thermodynamics, heat transfer (80-XX) 34 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 28 Special functions (33-XX) 28 Global analysis, analysis on manifolds (58-XX) 27 Combinatorics (05-XX) 23 Geophysics (86-XX) 22 Statistics (62-XX) 21 Potential theory (31-XX) 20 Algebraic geometry (14-XX) 17 Difference and functional equations (39-XX) 17 Functional analysis (46-XX) 16 Field theory and polynomials (12-XX) 15 Differential geometry (53-XX) 9 Integral transforms, operational calculus (44-XX) 9 Convex and discrete geometry (52-XX) 8 General and overarching topics; collections (00-XX) 6 Number theory (11-XX) 5 Astronomy and astrophysics (85-XX) 4 History and biography (01-XX) 3 Commutative algebra (13-XX) 3 Associative rings and algebras (16-XX) 3 Topological groups, Lie groups (22-XX) 3 Geometry (51-XX) 2 Mathematical logic and foundations (03-XX) 2 Nonassociative rings and algebras (17-XX) 2 Sequences, series, summability (40-XX) 1 Group theory and generalizations (20-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 (73-XX)