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Numerical Mathematics: Theory, Methods and Applications

Short Title: Numer. Math., Theory Methods Appl.
Publisher: Global Science Press, Hong Kong
ISSN: 1004-8979
Online: http://www.global-sci.org/nmtma/
https://www.cambridge.org/core/journals/numerical-mathematics-theory-methods-and-applications
Predecessor: Numerical Mathematics
Comments: Indexed cover-to-cover
Documents Indexed: 442 Publications (since 2008)
all top 5

Authors

10 Chen, Yanping
7 Tai, Xuecheng
6 Ng, Michael Kwok-Po
6 Wang, Zhongqing
5 Hou, Tianliang
5 Huang, Yunqing
5 Li, Zhilin
5 Lin, Ping
5 Shen, Jie
5 Zhao, Weidong
4 Deng, Jiansong
4 Gunzburger, Max D.
4 Huang, Weizhang
4 Li, Ruo
4 Ma, Changfeng
4 Ma, Heping
4 Morigi, Serena
4 Qian, Jiang
4 Sgallari, Fiorella
4 Tang, Tao
4 Xu, Chuanju
4 Yao, Changhui
3 Ahmad, Riaz
3 Argyros, Ioannis Konstantinos
3 Brannick, James J.
3 Chang, Huibin
3 Chen, Zhiming
3 Chung, Tsz Shun Eric
3 Guo, Ben-Yu
3 Hoppe, Ronald H. W.
3 Hu, Qiya
3 Huang, Baohua
3 Jin, Xiaoqing
3 Ju, Lili
3 Kim, Junseok
3 Li, Dongfang
3 Li, Jicheng
3 Ma, Jingtang
3 Qiu, Jianxian
3 Shu, Shi
3 Sun, Zhizhong
3 Tan, Zhijun
3 Tang, Huazhong
3 Wang, Fan
3 Wang, Lilian
3 Wu, Chunlin
3 Wu, Haijun
3 Wu, Jiming
3 Xie, Xiaoping
3 Xie, Ziqing
3 Xu, Da
3 Xu, Guiqiao
3 Yang, Qing
3 Yin, Junfeng
3 Zhang, Tie
2 Assari, Pouria
2 Bai, Jianchao
2 Bai, Zhengjian
2 Borzì, Alfio
2 Boyd, John Philip
2 Bronstein, Alexander M.
2 Bronstein, Michael M.
2 Carstensen, Carsten
2 Che, Maolin
2 Chen, Falai
2 Chen, Wenbin
2 Cheng, Xiaoliang
2 De Marchi, Stefano
2 Dehghan Takht Fooladi, Mehdi
2 Du, Kui
2 Du, Qiang
2 Duan, Yuping
2 Duits, Remco
2 Efendiev, Yalchin R.
2 Farooqi, Asma
2 Fu, Hongfei
2 Geiser, Jürgen
2 George, Santhosh
2 Günther, Michael
2 Hahn, Jooyoung
2 Hu, Xiaozhe
2 Ito, Kazufumi
2 Jeong, Darae
2 Kimmel, Ron
2 Layton, Anita T.
2 Li, Chongjun
2 Li, Wen
2 Li, Yi
2 Li, Yu
2 Liu, Chun
2 Liu, Tiegang
2 Liu, Yongping
2 Liu, Zhifang
2 Mémin, Etienne
2 Nash, Stephen G.
2 Park, Jintae
2 Qi, Liqun
2 Qi, Ruisheng
2 Ramos, Higinio
2 Raviv, Dan
...and 770 more Authors

Publications by Year

Citations contained in zbMATH Open

277 Publications have been cited 1,188 times in 1,119 Documents Cited by Year
pde2path – a Matlab package for continuation and bifurcation in 2D elliptic systems. Zbl 1313.65311
Uecker, Hannes; Wetzel, Daniel; Rademacher, Jens D. M.
32
2014
High-order accurate Runge-Kutta (local) discontinuous Galerkin methods for one- and two-dimensional fractional diffusion equations. Zbl 1274.65271
Ji, Xia; Tang, Huazhong
22
2012
A review of unified a posteriori finite element error control. Zbl 1289.65249
Carstensen, C.; Eigel, M.; Hoppe, R. H. W.; Löbhard, C.
21
2012
Immersed interface finite element methods for elasticity interface problems with non-homogeneous jump conditions. Zbl 1224.65266
Gong, Yan; Li, Zhilin
20
2010
Spectral optimization methods for the time fractional diffusion inverse problem. Zbl 1299.65222
Ye, Xingyang; Xu, Chuanju
20
2013
Advances in studies and applications of centroidal Voronoi tessellations. Zbl 1224.52032
Du, Qiang; Gunzburger, Max; Ju, Lili
19
2010
A parallel algorithm for adaptive local refinement of tetrahedral meshes using bisection. Zbl 1199.65399
Zhang, Linbo
19
2009
Phaseless imaging by reverse time migration: acoustic waves. Zbl 1389.78006
Chen, Zhiming; Huang, Guanghui
19
2017
Adaptive mixed GMsFEM for flows in heterogeneous media. Zbl 1399.65322
Chan, Ho-Yuen; Chung, Eric; Efendiev, Yalchin
19
2016
Spectral analysis for HSS preconditioners. Zbl 1174.65352
Chan, Lung Chak; Ng, Michael K.; Tsing, Nam Kiu
18
2008
Uniform convergence analysis of finite difference scheme for singularly perturbed delay differential equation on an adaptively generated grid. Zbl 1224.65186
Mohapatra, Jugal; Natesan, Srinivasan
18
2010
Convergence analysis of a block-by-block method for fractional differential equations. Zbl 1265.65141
Huang, Jianfei; Tang, Yifa; Vázquez, Luis
17
2012
An adaptive strategy for the restoration of textured images using fractional order regularization. Zbl 1289.68196
Chan, R. H.; Lanza, A.; Morigi, S.; Sgallari, F.
17
2013
A source transfer domain decomposition method for Helmholtz equations in unbounded domain, part II: extensions. Zbl 1299.65287
Chen, Zhiming; Xiang, Xueshuang
16
2013
Spectral Petrov-Galerkin methods for the second kind Volterra type integro-differential equations. Zbl 1249.65291
Tao, Xia; Xie, Ziqing; Zhou, Xiaojun
15
2011
Numerical solution to the multi-term time fractional diffusion equation in a finite domain. Zbl 1399.65158
Li, Gongsheng; Sun, Chunlong; Jia, Xianzheng; Du, Dianhu
15
2016
An explicit-implicit predictor-corrector domain decomposition method for time dependent multi-dimensional convection diffusion equations. Zbl 1212.65369
Zhu, Liyong; Yuan, Guangwei; Du, Qiang
13
2009
Weakly admissible meshes and discrete extremal sets. Zbl 1249.65014
Bos, Len; De Marchi, Stefano; Sommariva, Alvise; Vianello, Marco
13
2011
A compact difference scheme for an evolution equation with a weakly singular kernel. Zbl 1289.65283
Chen, Hongbin; Xu, Da
13
2012
A parallel algorithm and software for image inpainting via sub-Riemannian minimizers on the group of rototranslations. Zbl 1289.94013
Mashtakov, Alexey P.; Ardentov, Andrei A.; Sachkov, Yuri L.
13
2013
Discrete maximum principle and a Delaunay-type mesh condition for linear finite element approximations of two-dimensional anisotropic diffusion problems. Zbl 1265.65199
Huang, Weizhang
13
2011
Chebyshev spectral methods and the Lane-Emden problem. Zbl 1249.65158
Boyd, John P.
12
2011
A power penalty approach to numerical solutions of two-asset American options. Zbl 1212.65390
Zhang, K.; Wang, S.; Yang, X. Q.; Teo, K. L.
11
2009
A compound algorithm of denoising using second-order and fourth-order partial differential equations. Zbl 1212.68383
Chang, Qianshun; Tai, Xuecheng; Xing, Lily
11
2009
A priori and a posteriori error estimates of streamline diffusion finite element method for optimal control problem governed by convection dominated diffusion equation. Zbl 1174.65433
Yan, Ningning; Zhou, Zhaojie
11
2008
Fourth-order splitting methods for time-dependant differential equations. Zbl 1174.35408
Geiser, Jürgen
11
2008
Quasi-optimal convergence rate of an AFEM for quasi-linear problems of monotone type. Zbl 1265.65223
Garau, Eduardo M.; Morin, Pedro; Zuppa, Carlos
11
2012
An adaptive uniaxial perfectly matched layer method for time-harmonic scattering problems. Zbl 1174.65519
Chen, Zhiming; Wu, Xinming
10
2008
A second-order method for the electromagnetic scattering from a large cavity. Zbl 1187.78036
Wang, Yingxi; Du, Kui; Sun, Weiwei
10
2008
A stochastic Galerkin method for the Boltzmann equation with multi-dimensional random inputs using sparse wavelet bases. Zbl 1399.65265
Shu, Ruiwen; Hu, Jingwei; Jin, Shi
10
2017
Preconditioners for incompressible Navier-Stokes solvers. Zbl 1240.65098
Segal, A.; ur Rehman, M.; Vuik, C.
10
2010
A finite difference scheme for blow-up solutions of nonlinear wave equations. Zbl 1240.65237
Cho, Chien-Hong
10
2010
Analysis of direct and inverse cavity scattering problems. Zbl 1265.78008
Bao, Gang; Gao, Jinglu; Li, Peijun
10
2011
Numerical analysis of a system of singularly perturbed convection-diffusion equations related to optimal control. Zbl 1265.65123
Roos, Hans-Görg; Reibiger, Christian
10
2011
Orbital-free density functional theory for molecular structure calculations. Zbl 1174.81316
Chen, Huajie; Zhou, Aihui
9
2008
Algebraic theory of two-grid methods. Zbl 1349.65681
Yvan, Notay
9
2015
Towards textbook efficiency for parallel multigrid. Zbl 1340.65296
Gmeiner, Björn; Rüde, Ulrich; Stengel, Holger; Waluga, Christian; Wohlmuth, Barbara
9
2015
A fourth-order modified method for the Cauchy problem of the modified Helmholtz equation. Zbl 1212.65355
Shi, R.; Wei, T.; Qin, H. H.
8
2009
A multigrid block LU-SGS algorithm for Euler equations on unstructured grids. Zbl 1174.76313
Li, Ruo; Wang, Xin; Zhao, Weibo
8
2008
Deferred correction methods for forward backward stochastic differential equations. Zbl 1389.60083
Tang, Tao; Zhao, Weidong; Zhou, Tao
8
2017
A hybrid spectral element method for fractional two-point boundary value problems. Zbl 1413.65307
Sheng, Changtao; Shen, Jie
8
2017
A geometric space-time multigrid algorithm for the heat equation. Zbl 1265.65195
Weinzierl, Tobias; Köppl, Tobias
8
2012
Geometric and photometric data fusion in non-rigid shape analysis. Zbl 1289.68188
Kovnatsky, Artiom; Raviv, Dan; Bronstein, Michael M.; Bronstein, Alexander M.; Kimmel, Ron
8
2013
Cubature formulas and interpolation on the cubic domain. Zbl 1212.41002
Li, Huiyuan; Sun, Jiachang; Xu, Yuan
7
2009
Convex variational formulation with smooth coupling for multicomponent signal decomposition and recovery. Zbl 1201.94021
Briceño-Arias, Luis M.; Combettes, Patrick L.
7
2009
New estimates for the rate of convergence of the method of subspace corrections. Zbl 1174.65354
Cho, Durkbin; Xu, Jinchao; Zikatanov, Ludmil
7
2008
A finite difference scheme on a priori adapted meshes for a singularly perturbed parabolic convection-diffusion equation. Zbl 1174.65466
Shishkin, Grigory I.
7
2008
Numerical approaches for linear left-invariant diffusions on \(SE(2)\), their comparison to exact solutions, and their applications in retinal imaging. Zbl 1363.65008
Zhang, Jiong; Duits, Remco; Sanguinetti, Gonzalo; ter Haar Romeny, Bart M.
7
2016
A triangular spectral method for the Stokes equations. Zbl 1249.65262
Chen, Lizhen; Shen, Jie; Xu, Chuanju
7
2011
A collocation method for initial value problems of second-order ODEs by using Laguerre functions. Zbl 1249.65153
Yan, Jianping; Guo, Benyu
7
2011
A fast augmented Lagrangian method for Euler’s elastica models. Zbl 1289.94006
Duan, Yuping; Wang, Yu; Hahn, Jooyoung
7
2013
Convergence analysis of a Legendre spectral collocation method for second order Volterra integro-differential equations. Zbl 1265.65278
Wei, Yunxia; Chen, Yanping
7
2011
Fast texture segmentation based on semi-local region descriptor and active contour. Zbl 1212.68390
Houhou, Nawal; Thiran, Jean-Philippe; Bresson, Xavier
6
2009
A multilevel correction method for Steklov eigenvalue problem by nonconforming finite element methods. Zbl 1349.65603
Han, Xiaole; Li, Yu; Xie, Hehu
6
2015
A stochastic approximation frame algorithm with adaptive directions. Zbl 1199.65015
Xu, Zi; Dai, Yuhong
6
2008
Multidimensional iterative filtering method for the decomposition of high-dimensional non-stationary signals. Zbl 1389.62141
Cicone, Antonio; Zhou, Haomin
6
2017
Second order multigrid methods for elliptic problems with discontinuous coefficients on an arbitrary interface. I: One dimensional problems. Zbl 1265.65251
Coco, Armando; Russo, Giovanni
6
2012
A spectral method for a neutral Volterra integro-differential equation with a weakly singular kernel. Zbl 1289.65298
Wei, Yunxia; Chen, Yanping
6
2013
Robust multiscale iterative solvers for nonlinear flows in highly heterogeneous media. Zbl 1274.76248
Efendiev, Y.; Galvis, J.; Kang, S. Ki; Lazarov, R. D.
6
2012
Bootstrap algebraic multigrid: status report, open problems, and outlook. Zbl 1340.65289
Brandt, Achi; Brannick, James; Kahl, Karsten; Livshits, Ira
6
2015
A perturbation result for dynamical contact problems. Zbl 1201.74153
Klapproth, Corinna; Deuflhard, Peter; Schiela, Anton
5
2009
An efficient and accurate spectral method for acoustic scattering in elliptic domains. Zbl 1201.74156
Fang, Qirong; Shen, Jie; Wang, Lilian
5
2009
High-order leap-frog based discontinuous Galerkin method for the time-domain Maxwell equations on non-conforming simplicial meshes. Zbl 1212.65362
Fahs, Hassan
5
2009
Standard and economical cascade multigrid methods for the mortar finite element methods. Zbl 1212.65501
Xu, Xuejun; Chen, Wenbin
5
2009
A smoothing Newton-like method for the solution of nonlinear systems of equalities and inequalities. Zbl 1212.65238
Yang, Liu; Chen, Yanping; Tong, Xiaojiao
5
2009
Fast revealing of mode ranks of tensor in canonical form. Zbl 1212.65182
Savostyanov, Dmitry V.
5
2009
Three-dimensional finite element superconvergent gradient recovery on Par6 patterns. Zbl 1224.65258
Chen, Jie; Wang, Desheng
5
2010
A fast multilevel CVT-based adaptive data visualization algorithm. Zbl 1224.65050
Emelianenko, M.
5
2010
2D centroidal Voronoi tessellations with constraints. Zbl 1224.65053
Tournois, Jane; Alliez, Pierre; Devillers, Olivier
5
2010
A two-grid finite element method for time-dependent incompressible Navier-Stokes equations with non-smooth initial data. Zbl 1363.76036
Goswami, Deepjyoti; Damazio, Pedro D.
5
2015
A multistep scheme for decoupled forward-backward stochastic differential equations. Zbl 1374.65008
Zhao, Weidong; Zhang, Wei; Ju, Lili
5
2016
New reflection principles for Maxwell’s equations and their applications. Zbl 1187.78037
Liu, Hongyu; Yamamoto, Masahiro; Zou, Jun
5
2009
Spectral method approximation of flow optimal control problems with \(H^1\)-norm state constraint. Zbl 1399.49019
Chen, Yanping; Huang, Fenglin
5
2017
Itô-Taylor schemes for solving mean-field stochastic differential equations. Zbl 1399.60121
Sun, Yabing; Yang, Jie; Zhao, Weidong
5
2017
A space-time Petrov-Galerkin spectral method for time fractional diffusion equation. Zbl 1438.65308
Sheng, Changtao; Shen, Jie
5
2018
High order mass-lumping finite elements on simplexes. Zbl 1399.65246
Cui, Tao; Leng, Wei; Lin, Deng; Ma, Shichao; Zhang, Linbo
5
2017
Computing residual diffusivity by adaptive basis learning via spectral method. Zbl 1389.76035
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
5
2017
The global behavior of finite difference-spatial spectral collocation methods for a partial integro-differential equation with a weakly singular kernel. Zbl 1299.65310
Tang, Jie; Xu, Da
5
2013
Absorbing boundary conditions for hyperbolic systems. Zbl 1240.65239
Ehrhardt, Matthias
5
2010
Uniform convergence of adaptive multigrid methods for elliptic problems and Maxwell’s equations. Zbl 1274.65287
Hiptmair, Ralf; Wu, Haijun; Zheng, Weiying
5
2012
Numerical solution of stochastic Ito-Volterra integral equations using Haar wavelets. Zbl 1413.65490
Mohammadi, Fakhrodin
5
2016
A multilevel method for the solution of time dependent optimal transport. Zbl 1340.76064
Haber, Eldad; Horesh, Raya
5
2015
An alternating direction implicit Galerkin finite element method for the two-dimensional time fractional evolution equation. Zbl 1313.65266
Li, Limei; Xu, Da
4
2014
Uniform convergence analysis for singularly perturbed elliptic problems with parabolic layers. Zbl 1174.65508
Li, Jichun; Chen, Yitung
4
2008
A parameter-uniform finite difference method for a coupled system of convection-diffusion two-point boundary value problems. Zbl 1174.65441
O’Riordan, Eugene; Stynes, Jeanne; Stynes, Martin
4
2008
Bivariate simplex spline quasi-interpolants. Zbl 1224.41010
Sbibih, D.; Serghini, A.; Tijini, A.
4
2010
A multigrid solver based on distributive smoother and residual overweighting for Oseen problems. Zbl 1363.65155
Chen, Long; Hu, Xiaozhe; Wang, Ming; Xu, Jinchao
4
2015
Approximation of derivative for a singularly perturbed second-order ODE of Robin type with discontinuous convection coefficient and source term. Zbl 1199.65249
Priyadharshini, R. Mythili; Ramanujam, N.
4
2009
A spectral method for three-dimensional nonlinear Klein-Gordon equation by using generalized Laguerre and spherical harmonic functions. Zbl 1199.65354
Zhang, Xiaoyong; Guo, Benyu; Jiao, Yujian
4
2009
A full multigrid method for distributed control problems constrained by Stokes equations. Zbl 1399.65350
Butt, M. M.; Yuan, Y.
4
2017
A consistent fourth-order compact finite difference scheme for solving vorticity-stream function form of incompressible Navier-Stokes equations. Zbl 1438.65273
Wang, Tao; Liu, Tiegang
4
2019
Finite difference schemes for the tempered fractional Laplacian. Zbl 1449.65213
Zhang, Zhijiang; Deng, Weihua; Fan, Hongtao
4
2019
A new theoretical estimate for the convergence rate of the maximal weighted residual Kaczmarz algorithm. Zbl 1449.65054
Du, Kui; Gao, Han
4
2019
Fast linearized augmented Lagrangian method for Euler’s elastica model. Zbl 1389.94035
Zhang, Jun; Chen, Rongliang; Deng, Chengzhi; Wang, Shengqian
4
2017
A linearized high-order combined compact difference scheme for multi-dimensional coupled Burgers’ equations. Zbl 1424.65124
Chen, Buyun; He, Dongdong; Pan, Kejia
4
2018
Multigrid solutions of a Lavrentiev-regularized state-constrained parabolic control problem. Zbl 1265.65121
Borzì, Alfio; González Andrade, Sergio
4
2012
A truncated Newton-based multigrid algorithm for centroidal Voronoi diagram calculation. Zbl 1265.65035
Di, Zichao; Emelianenko, Maria; Nash, Stephen
4
2012
Numerical schemes for linear and nonlinear enhancement of DW-MRI. Zbl 1289.92028
Creusen, Eric; Duits, Remco; Vilanova, Anna; Florack, Luc
4
2013
Multi-label Markov random fields as an efficient and effective tool for image segmentation, total variations and regularization. Zbl 1289.68201
Hochbaum, Dorit S.
4
2013
Superconvergence and \(L^\infty\)-error estimates of RT1 mixed methods for semilinear elliptic control problems with an integral constraint. Zbl 1274.49005
Chen, Yanping; Hou, Tianliang
4
2012
Convergence analysis of a numerical scheme for the porous medium equation by an energetic variational approach. Zbl 1463.65333
Duan, Chenghua; Liu, Chun; Wang, Cheng; Yue, Xingye
2
2020
Numerical analysis of a dynamic contact problem with history-dependent operators. Zbl 1463.65314
Xuan, Hailing; Cheng, Xiaoliang; Han, Weimin; Xiao, Qichang
2
2020
A stabilized low order finite element method for three dimensional elasticity problems. Zbl 1463.65374
Jo, Gwanghyun; Kwak, Do Y.
1
2020
A dynamical method for solving the obstacle problem. Zbl 1463.35278
Ran, Qinghua; Cheng, Xiaoliang; Abide, Stephane
1
2020
A multiple scalar auxiliary variables approach to the energy stable scheme of the moving contact line problem. Zbl 1463.65337
Kang, Fengdai; Zhang, Zhen
1
2020
A high-order kernel-free boundary integral method for incompressible flow equations in two space dimensions. Zbl 1463.65277
Xie, Yaning; Ying, Wenjun
1
2020
PPIFE method with non-homogeneous flux jump conditions and its efficient numerical solver for elliptic optimal control problems with interfaces. Zbl 1463.65379
Wang, Quanxiang; Zhang, Zhiyue; Zheng, Enlai
1
2020
Parallel smoothed aggregation multilevel Schwarz preconditioned Newton-Krylov algorithms for Poisson-Boltzmann problems. Zbl 1463.65279
Cai, Shangrong; Xiao, Junyi; Tseng, Yuchieh; Hwang, Fengnan
1
2020
Superconvergence of the composite rectangle rule for computing hypersingular integral on interval. Zbl 1463.65028
Li, Jin; Cheng, Yongling; Li, Zongcheng
1
2020
Improved 3D surface reconstruction via the method of fundamental solutions. Zbl 07366923
Zheng, Hui; Wang, Feng; Chen, C. S.; Lei, M.; Wang, Yong
1
2020
A consistent fourth-order compact finite difference scheme for solving vorticity-stream function form of incompressible Navier-Stokes equations. Zbl 1438.65273
Wang, Tao; Liu, Tiegang
4
2019
Finite difference schemes for the tempered fractional Laplacian. Zbl 1449.65213
Zhang, Zhijiang; Deng, Weihua; Fan, Hongtao
4
2019
A new theoretical estimate for the convergence rate of the maximal weighted residual Kaczmarz algorithm. Zbl 1449.65054
Du, Kui; Gao, Han
4
2019
Super implicit multistep collocation methods for weakly singular Volterra integral equations. Zbl 1463.65436
Zhao, Jingjun; Long, Teng; Xu, Yang
2
2019
Numerical investigations of a class of biological models on unbounded domain. Zbl 1438.65177
Huang, Qiumei; Li, Dongfang; Zhang, Jiwei
2
2019
Diagonalized Chebyshev rational spectral methods for second-order elliptic problems on unbounded domains. Zbl 1438.65307
Ren, Yanmin; Yu, Xuhong; Wang, Zhongqing
2
2019
Finite difference schemes for the variable coefficients single and multi-term time-fractional diffusion equations with non-smooth solutions on graded and uniform meshes. Zbl 1449.65175
Cui, Mingrong
2
2019
Notes on new error bounds for linear complementarity problems of Nekrasov matrices, \(B\)-Nekrasov matrices and \(QN\)-matrices. Zbl 1463.65109
Dai, Pingfan; Li, Jicheng; Bai, Jianchao; Dong, Liqiang
1
2019
Stochastic gradient descent for linear systems with missing data. Zbl 1438.65095
Ma, Anna; Needell, Deanna
1
2019
Fully discrete \({H^1}\)-Galerkin mixed finite element methods for parabolic optimal control problems. Zbl 1438.49008
Hou, Tianliang; Liu, Chunmei; Chen, Hongbo
1
2019
The instability in the dimensions of spline spaces over \(T\)-meshes with nested \(T\)-cycles. Zbl 1438.65012
Li, Chongjun; Wang, Pengxiao
1
2019
A branching random walk method for many-body Wigner quantum dynamics. Zbl 1438.60113
Shao, Sihong; Xiong, Yunfeng
1
2019
Segmentation by elastica energy with \({L^1}\) and \({L^2}\) curvatures: a performance comparison. Zbl 1449.94011
He, Xuan; Zhu, Wei; Tai, Xuecheng
1
2019
An adaptive complex collocation method for solving linear elliptic PDEs in regular convex polygons based on the unified transform. Zbl 1449.65333
Grylonakis, E.-N. G.; Filelis-Papadopoulos, C. K.; Grawanis, G. A.; Fokas, A. S.
1
2019
A reformulated convex and selective variational image segmentation model and its fast multilevel algorithm. Zbl 1449.68133
Jumaat, Abdul K.; Chen, Ke
1
2019
The plane wave discontinuous Galerkin method combined with local spectral finite elements for the wave propagation in anisotropic media. Zbl 1463.78008
Yuan, Long
1
2019
Strong convergence of the semi-implicit Euler method for a kind of stochastic Volterra integro-differential equations. Zbl 1449.60114
Gao, Jianfang; Ma, Shufang; Liang, Hui
1
2019
Optimal rate convergence analysis of a second order numerical scheme for the Poisson-Nernst-Planck system. Zbl 1449.65177
Ding, Jie; Wang, Cheng; Zhou, Shenggao
1
2019
An optimized two-step hybrid block method formulated in variable step-size mode for integrating \(y'' = f (x,y,y')\) numerically. Zbl 1449.65154
Singh, Gurjinder; Ramos, Higinio
1
2019
A splitting scheme for the numerical solution of the KWC system. Zbl 1449.65289
Hoppe, R. H. W.; Winkle, J. J.
1
2019
The cubic spline rule for the Hadamard finite-part integral on an interval. Zbl 1449.65014
Gu, Gendai; An, Sheng; Zhao, Meiling
1
2019
A space-time Petrov-Galerkin spectral method for time fractional diffusion equation. Zbl 1438.65308
Sheng, Changtao; Shen, Jie
5
2018
A linearized high-order combined compact difference scheme for multi-dimensional coupled Burgers’ equations. Zbl 1424.65124
Chen, Buyun; He, Dongdong; Pan, Kejia
4
2018
A meshless discrete Galerkin method based on the free shape parameter radial basis functions for solving Hammerstein integral equations. Zbl 1438.65321
Assari, Pouria; Dehghan, Mehdi
3
2018
Numerical analysis of partially penalized immersed finite element methods for hyperbolic interface problems. Zbl 1424.65173
Yang, Qing
3
2018
On the convergence of two-step modulus-based matrix splitting iteration methods for a restricted class of nonlinear complementarity problems with \({H_ +}\)-matrices. Zbl 1413.65064
Li, Rui; Wang, Yan; Yin, Junfeng
3
2018
A weak Galerkin finite element method for elliptic interface problems with polynomial reduction. Zbl 1438.65283
Deka, Bhupen
2
2018
Best rank-one approximation of fourth-order partially symmetric tensors by neural network. Zbl 1438.65088
Wang, Xuezhong; Che, Maolin; Wei, Yimin
2
2018
The Legendre Galerkin-Chebyshev collocation method for space fractional Burgers-like equations. Zbl 1424.65197
Yang, Yubo; Ma, Heping
2
2018
A modified weak Galerkin finite element method for the poroelasticity problems. Zbl 1438.65299
Wang, Ruishu; Wang, Xiaoshen; Zhang, Ran
1
2018
Numerical approximation to a stochastic parabolic PDE with weak Galerkin method. Zbl 1438.65007
Zhu, Hongze; Zou, Yongkui; Chaiand, Shimin; Zhou, Chenguang
1
2018
Spectral deferred correction methods for fractional differential equations. Zbl 1438.65252
Lv, Chunwan; Azaiez, Mejdi; Xu, Chuanju
1
2018
Weak and strong convergence of two algorithms for the split fixed point problem. Zbl 1438.47124
Wang, Fenghui; Xu, Hongkun
1
2018
A separable preconditioner for time-space fractional Caputo-Riesz diffusion equations. Zbl 1438.65038
Lin, Xuelei; Ng, Michael K.; Sun, Haiwei
1
2018
A high order compact scheme for a thermal wave model of bio-heat transfer with an interface. Zbl 1424.80002
Singh, Suruchi; Singh, Swarn; Li, Zhilin
1
2018
A new convergent explicit tree-grid method for HJB equations in one space dimension. Zbl 1413.65391
Kossaczký, Igor; Ehrhardt, Matthias; Günther, Michael
1
2018
Extending GCR algorithm for the least squares solutions on a class of Sylvester matrix equations. Zbl 1413.65137
Huang, Baohua; Ma, Changfeng
1
2018
Phaseless imaging by reverse time migration: acoustic waves. Zbl 1389.78006
Chen, Zhiming; Huang, Guanghui
19
2017
A stochastic Galerkin method for the Boltzmann equation with multi-dimensional random inputs using sparse wavelet bases. Zbl 1399.65265
Shu, Ruiwen; Hu, Jingwei; Jin, Shi
10
2017
Deferred correction methods for forward backward stochastic differential equations. Zbl 1389.60083
Tang, Tao; Zhao, Weidong; Zhou, Tao
8
2017
A hybrid spectral element method for fractional two-point boundary value problems. Zbl 1413.65307
Sheng, Changtao; Shen, Jie
8
2017
Multidimensional iterative filtering method for the decomposition of high-dimensional non-stationary signals. Zbl 1389.62141
Cicone, Antonio; Zhou, Haomin
6
2017
Spectral method approximation of flow optimal control problems with \(H^1\)-norm state constraint. Zbl 1399.49019
Chen, Yanping; Huang, Fenglin
5
2017
Itô-Taylor schemes for solving mean-field stochastic differential equations. Zbl 1399.60121
Sun, Yabing; Yang, Jie; Zhao, Weidong
5
2017
High order mass-lumping finite elements on simplexes. Zbl 1399.65246
Cui, Tao; Leng, Wei; Lin, Deng; Ma, Shichao; Zhang, Linbo
5
2017
Computing residual diffusivity by adaptive basis learning via spectral method. Zbl 1389.76035
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
5
2017
A full multigrid method for distributed control problems constrained by Stokes equations. Zbl 1399.65350
Butt, M. M.; Yuan, Y.
4
2017
Fast linearized augmented Lagrangian method for Euler’s elastica model. Zbl 1389.94035
Zhang, Jun; Chen, Rongliang; Deng, Chengzhi; Wang, Shengqian
4
2017
An unconditionally stable and high-order convergent difference scheme for Stokes’ first problem for a heated generalized second grade fluid with fractional derivative. Zbl 1399.65154
Ji, Cuicui; Sun, Zhizhong
3
2017
Finite element and discontinuous Galerkin methods with perfect matched layers for American options. Zbl 1399.91142
Song, Haiming; Zhang, Kai; Li, Yutian
3
2017
High order hierarchical divergence-free constrained transport \(H\left({div} \right)\) finite element method for magnetic induction equation. Zbl 1399.65243
Cai, Wei; Hu, Jun; Zhang, Shangyou
3
2017
Linear stability of hyperbolic moment models for Boltzmann equation. Zbl 1389.35054
Di, Yana; Fan, Yuwei; Li, Ruo; Zheng, Lingchao
3
2017
Stability of finite difference schemes for hyperbolic initial boundary value problems: numerical boundary layers. Zbl 1399.65203
Boutin, Benjamin; Coulombel, Jean Francois
2
2017
Blow-up of Volterra integro-differential equations and applications to semi-linear Volterra diffusion equations. Zbl 1399.35103
Yang, Zhanwen; Tang, Tao; Zhang, Jiwei
2
2017
Nonconforming finite element methods for wave propagation in metamaterials. Zbl 1399.65341
Yao, Changhui; Wang, Lixiu
2
2017
Generalized accelerated Hermitian and skew-Hermitian splitting methods for saddle-point problems. Zbl 1413.65072
Noormohammadi, Pour H.; Sadeghi, Goughery H.
2
2017
Lacunary interpolation by fractal splines with variable scaling parameters. Zbl 1399.65034
Viswanathan, P.; Chand, A. K. B.; Tyada, K. R.
2
2017
Numerical effects of the Gaussian recursive filters in solving linear systems in the 3Dvar case study. Zbl 1399.65112
Cuomo, Salvatore; Galletti, Ardelio; Giunta, Giulio; Marcellino, Livia
1
2017
Error splitting preservation for high order finite difference schemes in the combination technique. Zbl 1399.65295
Hendricks, Christian; Ehrhardt, Matthias; Gunther, Michael
1
2017
Adaptive dimensionality-reduction for time-stepping in differential and partial differential equations. Zbl 1413.65302
Fu, Xing; Kutz, J. Nathan
1
2017
Solving constrained TV2L1-L2 MRI signal reconstruction via an efficient alternating direction method of multipliers. Zbl 1399.94018
Wu, Tingting; Wang, David Z. W.; Jin, Zhengmeng; Zhang, Jun
1
2017
Anisotropic mesh adaptation for 3D anisotropic diffusion problems with application to fractured reservoir simulation. Zbl 1399.65232
Li, Xianping; Huang, Weizhang
1
2017
Total variation based parameter-free model for impulse noise removal. Zbl 1389.94022
Sciacchitano, Federica; Dong, Yiqiu; Andersen, Martin S.
1
2017
A uniformly stable nonconforming FEM based on weighted interior penalties for Darcy-Stokes-Brinkman equations. Zbl 1399.65328
Huang, Peiqi; Li, Zhilin
1
2017
The disc theorem for the Schur complement of two class submatrices with \(\gamma\)-diagonally dominant properties. Zbl 1389.15040
Li, Guangqi; Liu, Jianzhou; Zhang, Juan
1
2017
Analysis of the closure approximation for a class of stochastic differential equations. Zbl 1399.65009
Cai, Yunfeng; Li, Tiejun; Shao, Jiushu; Wang, Zhiming
1
2017
Adaptive mixed GMsFEM for flows in heterogeneous media. Zbl 1399.65322
Chan, Ho-Yuen; Chung, Eric; Efendiev, Yalchin
19
2016
Numerical solution to the multi-term time fractional diffusion equation in a finite domain. Zbl 1399.65158
Li, Gongsheng; Sun, Chunlong; Jia, Xianzheng; Du, Dianhu
15
2016
Numerical approaches for linear left-invariant diffusions on \(SE(2)\), their comparison to exact solutions, and their applications in retinal imaging. Zbl 1363.65008
Zhang, Jiong; Duits, Remco; Sanguinetti, Gonzalo; ter Haar Romeny, Bart M.
7
2016
A multistep scheme for decoupled forward-backward stochastic differential equations. Zbl 1374.65008
Zhao, Weidong; Zhang, Wei; Ju, Lili
5
2016
Numerical solution of stochastic Ito-Volterra integral equations using Haar wavelets. Zbl 1413.65490
Mohammadi, Fakhrodin
5
2016
A multiple interval Chebyshev-Gauss-Lobatto collocation method for ordinary differential equations. Zbl 1413.65310
Wang, Zhongqing; Mu, Jun
4
2016
Positivity-preserving Runge-Kutta discontinuous Galerkin method on adaptive Cartesian grid for strong moving shock. Zbl 1363.76040
Liu, Jianming; Qiu, Jianxian; Goman, Mikhail; Li, Xinkai; Liu, Meilin
3
2016
Comparison of some preconditioners for the incompressible Navier-Stokes equations. Zbl 1389.76016
He, X.; Vuik, C.
2
2016
High order energy-preserving method of the “good” Boussinesq equation. Zbl 1363.65175
Jiang, Chaolong; Sun, Jianqiang; He, Xunfeng; Zhou, Lanlan
2
2016
Second order convergence of the interpolation based on \(Q_1^c\)-element. Zbl 1399.65026
He, Ruijian; Feng, Xinlong
2
2016
A new quasi-Monte Carlo technique based on nonnegative least squares and approximate Fekete points. Zbl 1399.65003
Bittante, Claudia; De Marchi, Stefano; Elefante, Giacomo
2
2016
One-bit compressed sensing by greedy algorithms. Zbl 1374.94550
Liu, Wenhui; Gong, Da; Xu, Zhiqiang
1
2016
Nonconforming mixed finite element method for time-dependent Maxwell’s equations with ABC. Zbl 1389.78009
Yao, Changhui; Shi, Dongyang
1
2016
A priori error estimate of splitting positive definite mixed finite element method for parabolic optimal control problems. Zbl 1374.65110
Fu, Hongfei; Rui, Hongxing; Zhang, Jiansong; Guo, Hui
1
2016
A non-Krylov subspace method for solving large and sparse linear system of equations. Zbl 1374.65041
Peng, Wujian; Lin, Qun
1
2016
Difference approximation of stochastic elastic equation driven by infinite dimensional noise. Zbl 1363.65009
Zhang, Yinghan; Yang, Xiaoyuan; Qi, Ruisheng
1
2016
Application of the level-set model with constraints in image segmentation. Zbl 1363.68216
Klement, Vladimir; Oberhuber, Tomas; Sevcovic, Daniel
1
2016
Two-stage image segmentation scheme based on inexact alternating direction method. Zbl 1389.68172
Zhi, Zhanjiang; Sun, Yi; Pang, Zhifeng
1
2016
Finite volume element methods for two-dimensional three-temperature radiation diffusion equations. Zbl 1399.65307
Gao, Yanni; Zhao, Xiukun; Li, Yonghai
1
2016
Mixed finite element methods for fourth order elliptic optimal control problems. Zbl 1399.65333
Manickam, K.; Prakash, P.
1
2016
An Ulm-like Cayley transform method for inverse eigenvalue problems with multiple eigenvalues. Zbl 1413.65110
Shen, Weiping; Li, Chong; Jin, Xiaoqing
1
2016
Finite element simulations with adaptively moving mesh for the reaction diffusion system. Zbl 1399.65268
Xie, Congcong; Hu, Xianliang
1
2016
Algebraic theory of two-grid methods. Zbl 1349.65681
Yvan, Notay
9
2015
Towards textbook efficiency for parallel multigrid. Zbl 1340.65296
Gmeiner, Björn; Rüde, Ulrich; Stengel, Holger; Waluga, Christian; Wohlmuth, Barbara
9
2015
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Cited by 1,845 Authors

24 Chung, Tsz Shun Eric
15 Chen, Yanping
14 Xu, Da
13 Duits, Remco
11 Huang, Yunqing
11 Zhang, Bo
11 Zhou, Zhaojie
10 Hu, Guanghui
10 Zheng, Weiying
9 Carstensen, Carsten
9 Leung, Wingtat
9 Xu, Chuanju
9 Zhang, Haiwen
8 Wohlmuth, Barbara I.
8 Zhao, Weidong
7 Du, Kui
7 Efendiev, Yalchin R.
7 Gu, Zhendong
7 Huang, Ting-Zhu
7 Lin, Tao
7 Rüde, Ulrich
7 Subburayan, Veerasamy
7 Zhou, Tao
6 Chen, Zhiming
6 Combettes, Patrick L.
6 Guo, Yukun
6 He, Xiaoming
6 Kühn, Christian
6 Liu, Li-Bin
6 Mashtakov, Alexey P.
6 Pan, Kejia
6 Wu, Boying
6 Yi, Lijun
6 Zhang, Xu
5 Antonietti, Paola Francesca
5 Bekkers, Erik J.
5 Cao, Yang
5 Chen, Hongbin
5 Cicone, Antonio
5 Feng, Xinlong
5 Fu, Shubin
5 Gander, Martin Jakob
5 He, Dongdong
5 Karniadakis, George Em
5 Li, Huiyuan
5 Li, Zhilin
5 Manteuffel, Thomas A.
5 Otárola, Enrique
5 Praetorius, Dirk
5 Qiao, Zhonghua
5 Sarti, Alessandro
5 Tang, Yifa
5 Vohralík, Martin
5 Wang, Liqun
5 Xin, Jack X.
5 Xu, Yifeng
5 Yang, Yin
5 Yuan, Guangwei
5 Zhang, Deyue
5 Zhang, Linbo
5 Zikatanov, Ludmil T.
4 Bai, Zhongzhi
4 Bu, Weiping
4 Buccini, Alessandro
4 Chen, Ke
4 Chen, Lizhen
4 Cho, Chien-Hong
4 Citti, Giovanna
4 De Marchi, Stefano
4 Deng, Weihua
4 Drzisga, Daniel
4 Geevers, Sjoerd
4 Gunzburger, Max D.
4 Hu, Hongling
4 Hu, Xiaozhe
4 Huang, Weizhang
4 Jiang, Xue
4 Kimmel, Ron
4 Klapproth, Corinna
4 Li, Ruo
4 Liang, Dong
4 Mustafa, Ghulam
4 Natesan, Srinivasan
4 Rademacher, Jens Diederich Michael
4 Reichel, Lothar
4 Sachkov, Yuriĭ Leonidovich
4 Savostyanov, Dmitry V.
4 Serghini, Abdelhafid
4 Sheng, Zhiqiang
4 Shu, Shi
4 Sommariva, Alvise
4 Sun, Weiwei
4 Sun, Zhizhong
4 Tang, Tao
4 Uecker, Hannes
4 Vianello, Marco
4 Wang, Cheng
4 Wang, Hong
4 Xu, Jinchao
4 Xu, Xiaoxu
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Cited in 197 Journals

79 Journal of Computational Physics
79 Journal of Computational and Applied Mathematics
78 Journal of Scientific Computing
58 SIAM Journal on Scientific Computing
49 Computers & Mathematics with Applications
48 Applied Numerical Mathematics
44 Applied Mathematics and Computation
33 Numerical Algorithms
22 Numerische Mathematik
21 Journal of Mathematical Imaging and Vision
21 East Asian Journal on Applied Mathematics
19 Computer Methods in Applied Mechanics and Engineering
19 SIAM Journal on Numerical Analysis
18 Mathematics of Computation
16 Computational and Applied Mathematics
14 Applied Mathematical Modelling
13 Numerical Methods for Partial Differential Equations
13 Mathematical Problems in Engineering
12 Computers and Fluids
12 SIAM Journal on Imaging Sciences
10 Inverse Problems
9 Mathematics and Computers in Simulation
9 Computer Aided Geometric Design
9 Advances in Computational Mathematics
9 Communications in Nonlinear Science and Numerical Simulation
9 Advances in Difference Equations
8 BIT
8 Calcolo
8 Multiscale Modeling & Simulation
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Japan Journal of Industrial and Applied Mathematics
7 International Journal of Computer Mathematics
7 Inverse Problems and Imaging
7 Science China. Mathematics
7 Journal of Applied Analysis and Computation
6 Journal of Approximation Theory
6 SIAM Journal on Applied Dynamical Systems
6 International Journal of Wavelets, Multiresolution and Information Processing
5 Mathematical Methods in the Applied Sciences
5 Applied Mathematics Letters
5 SIAM Journal on Matrix Analysis and Applications
5 SIAM Journal on Applied Mathematics
5 Journal of Inequalities and Applications
5 Discrete and Continuous Dynamical Systems. Series B
5 Computational Methods in Applied Mathematics
4 Journal of Optimization Theory and Applications
4 SIAM Journal on Control and Optimization
4 Computational Mechanics
4 Computational Mathematics and Mathematical Physics
4 Linear Algebra and its Applications
4 Numerical Linear Algebra with Applications
4 Engineering Analysis with Boundary Elements
4 Abstract and Applied Analysis
4 Computational Geosciences
4 International Journal of Computational Methods
4 Boundary Value Problems
4 Discrete and Continuous Dynamical Systems. Series S
3 Journal of Mathematical Biology
3 Acta Mathematicae Applicatae Sinica. English Series
3 Journal of Global Optimization
3 International Journal of Computer Vision
3 Computing and Visualization in Science
3 Chaos
3 Journal of Applied Mathematics
3 Journal of Numerical Mathematics
3 Mathematical Biosciences and Engineering
3 Journal of Industrial and Management Optimization
3 Optimization Letters
3 Kinetic and Related Models
3 International Journal of Applied and Computational Mathematics
2 Applicable Analysis
2 Computer Physics Communications
2 Journal of Fluid Mechanics
2 Journal of Mathematical Analysis and Applications
2 Journal of Statistical Physics
2 Chaos, Solitons and Fractals
2 Automatica
2 Quarterly of Applied Mathematics
2 Acta Mathematica Hungarica
2 Bulletin of the Iranian Mathematical Society
2 Constructive Approximation
2 Differential Geometry and its Applications
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Mathematical Programming. Series A. Series B
2 SIAM Journal on Optimization
2 Journal of Nonlinear Science
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Computational Optimization and Applications
2 ETNA. Electronic Transactions on Numerical Analysis
2 Regular and Chaotic Dynamics
2 Foundations of Computational Mathematics
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 Acta Numerica
2 Applications and Applied Mathematics
2 Journal of Applied Mathematics & Informatics
2 Afrika Matematika
2 The Journal of Mathematical Neuroscience
2 Journal of Mathematics
2 Journal of Function Spaces
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Cited in 48 Fields

916 Numerical analysis (65-XX)
418 Partial differential equations (35-XX)
146 Fluid mechanics (76-XX)
89 Calculus of variations and optimal control; optimization (49-XX)
75 Optics, electromagnetic theory (78-XX)
66 Integral equations (45-XX)
64 Information and communication theory, circuits (94-XX)
63 Ordinary differential equations (34-XX)
54 Computer science (68-XX)
51 Mechanics of deformable solids (74-XX)
48 Probability theory and stochastic processes (60-XX)
39 Approximations and expansions (41-XX)
38 Operations research, mathematical programming (90-XX)
35 Biology and other natural sciences (92-XX)
30 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
29 Real functions (26-XX)
24 Linear and multilinear algebra; matrix theory (15-XX)
21 Statistical mechanics, structure of matter (82-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
15 Statistics (62-XX)
14 Operator theory (47-XX)
13 Dynamical systems and ergodic theory (37-XX)
13 Differential geometry (53-XX)
12 Geophysics (86-XX)
11 Classical thermodynamics, heat transfer (80-XX)
9 Quantum theory (81-XX)
7 Special functions (33-XX)
7 Systems theory; control (93-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Astronomy and astrophysics (85-XX)
5 Potential theory (31-XX)
5 Mechanics of particles and systems (70-XX)
4 Functional analysis (46-XX)
3 General and overarching topics; collections (00-XX)
3 Measure and integration (28-XX)
3 Integral transforms, operational calculus (44-XX)
3 Convex and discrete geometry (52-XX)
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