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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: https://www.global-sci.org/nmtma/periodical_list.html
https://www.cambridge.org/core/journals/numerical-mathematics-theory-methods-and-applications/all-issues
Predecessor: Numerical Mathematics
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 578 Publications (since 2008)
References Indexed: 103 Publications with 3,968 References.
all top 5

Authors

11 Chen, Yanping
8 Li, Zhilin
8 Ng, Michael Kwok-Po
8 Wang, Zhongqing
7 Huang, Yunqing
7 Tai, Xuecheng
7 Xie, Xiaoping
7 Zhao, Weidong
6 Kim, Junseok
6 Li, Ruo
6 Lin, Ping
5 Chang, Huibin
5 Gunzburger, Max D.
5 Hou, Tianliang
5 Huang, Weizhang
5 Ju, Lili
5 Li, Dongfang
5 Qiu, Jianxian
5 Shen, Jie
4 Deng, Jiansong
4 Hoppe, Ronald H. W.
4 Jin, Xiaoqing
4 Lee, Chaeyoung
4 Li, Jicheng
4 Ma, Changfeng
4 Ma, Heping
4 Ma, Jingtang
4 Morigi, Serena
4 Park, Jintae
4 Qian, Jiang
4 Sgallari, Fiorella
4 Shu, Shi
4 Sun, Zhizhong
4 Tang, Tao
4 Wang, Lilian
4 Xu, Chuanju
4 Yang, Junxiang
4 Yao, Changhui
4 Yin, Junfeng
4 Zhang, Jiwei
3 Ahmad, Riaz
3 Argyros, Ioannis Konstantinos
3 Borzì, Alfio
3 Brannick, James J.
3 Chen, Jingrun
3 Chen, Zhiming
3 Chung, Tsz Shun Eric
3 Deng, Weihua
3 Du, Qiang
3 Du, Rui
3 Duan, Yuping
3 Ehrhardt, Matthias
3 Guo, Ben-Yu
3 Hajarian, Masoud
3 Hong, Qi
3 Hu, Qiya
3 Huang, Baohua
3 Huang, Zhongyi
3 Li, Rui
3 Liu, Tiegang
3 Lu, Tiao
3 Rui, Hongxing
3 Sun, Haiwei
3 Tan, Zhijun
3 Tang, Huazhong
3 Wang, Cheng
3 Wang, Fengru
3 Wei, Yimin
3 Wu, Chunlin
3 Wu, Haijun
3 Wu, Jiming
3 Xie, Ziqing
3 Xu, Da
3 Xu, Guiqiao
3 Yang, Jerry Zhijian
3 Yang, Jiang
3 Yang, Qing
3 Yoon, Sungha
3 Zhang, Guofeng
3 Zhang, Shangyou
3 Zhang, Tie
2 Assari, Pouria
2 Bai, Jianchao
2 Bai, Zhengjian
2 Barron, Ronald M.
2 Boyd, John Philip
2 Bronstein, Alexander M.
2 Bronstein, Michael M.
2 Carstensen, Carsten
2 Che, Maolin
2 Chen, Ching-Shyang
2 Chen, Falai
2 Chen, Wenbin
2 Chen, Yibing
2 Cheng, Xiaoliang
2 De Marchi, Stefano
2 Dehghan Takht Fooladi, Mehdi
2 Deka, Bhupen
2 Ding, Jie
2 Dong, Liqiang
...and 1,066 more Authors
all top 5

Fields

485 Numerical analysis (65-XX)
190 Partial differential equations (35-XX)
71 Fluid mechanics (76-XX)
43 Calculus of variations and optimal control; optimization (49-XX)
36 Computer science (68-XX)
34 Information and communication theory, circuits (94-XX)
31 Operations research, mathematical programming (90-XX)
30 Probability theory and stochastic processes (60-XX)
22 Approximations and expansions (41-XX)
22 Optics, electromagnetic theory (78-XX)
21 Linear and multilinear algebra; matrix theory (15-XX)
21 Ordinary differential equations (34-XX)
20 Mechanics of deformable solids (74-XX)
19 Integral equations (45-XX)
16 Real functions (26-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 Classical thermodynamics, heat transfer (80-XX)
9 Quantum theory (81-XX)
9 Statistical mechanics, structure of matter (82-XX)
9 Biology and other natural sciences (92-XX)
8 Special functions (33-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
7 Operator theory (47-XX)
5 Statistics (62-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Systems theory; control (93-XX)
3 Integral transforms, operational calculus (44-XX)
3 Functional analysis (46-XX)
3 Convex and discrete geometry (52-XX)
2 Functions of a complex variable (30-XX)
2 Geophysics (86-XX)
1 General and overarching topics; collections (00-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Topological groups, Lie groups (22-XX)
1 Potential theory (31-XX)
1 Global analysis, analysis on manifolds (58-XX)

Publications by Year

Citations contained in zbMATH Open

420 Publications have been cited 2,583 times in 2,341 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.
67
2014
A parallel algorithm for adaptive local refinement of tetrahedral meshes using bisection. Zbl 1199.65399
Zhang, Linbo
39
2009
A novel numerical approach to time-fractional parabolic equations with nonsmooth solutions. Zbl 1488.65256
Li, Dongfang; Sun, Weiwei; Wu, Chengda
37
2021
Immersed interface finite element methods for elasticity interface problems with non-homogeneous jump conditions. Zbl 1224.65266
Gong, Yan; Li, Zhilin
36
2010
A review of unified a posteriori finite element error control. Zbl 1289.65249
Carstensen, C.; Eigel, M.; Hoppe, R. H. W.; Löbhard, C.
32
2012
Spectral optimization methods for the time fractional diffusion inverse problem. Zbl 1299.65222
Ye, Xingyang; Xu, Chuanju
32
2013
High-order accurate Runge-Kutta (local) discontinuous Galerkin methods for one- and two-dimensional fractional diffusion equations. Zbl 1274.65271
Ji, Xia; Tang, Huazhong
29
2012
Phaseless imaging by reverse time migration: acoustic waves. Zbl 1389.78006
Chen, Zhiming; Huang, Guanghui
29
2017
Adaptive mixed GMsFEM for flows in heterogeneous media. Zbl 1399.65322
Chan, Ho-Yuen; Chung, Eric; Efendiev, Yalchin
29
2016
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
27
2011
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.
27
2013
Advances in studies and applications of centroidal Voronoi tessellations. Zbl 1224.52032
Du, Qiang; Gunzburger, Max; Ju, Lili
27
2010
Convergence analysis of a block-by-block method for fractional differential equations. Zbl 1265.65141
Huang, Jianfei; Tang, Yifa; Vázquez, Luis
27
2012
A compact difference scheme for an evolution equation with a weakly singular kernel. Zbl 1289.65283
Chen, Hongbin; Xu, Da
25
2012
An adaptive uniaxial perfectly matched layer method for time-harmonic scattering problems. Zbl 1174.65519
Chen, Zhiming; Wu, Xinming
24
2008
Spectral Petrov-Galerkin methods for the second kind Volterra type integro-differential equations. Zbl 1249.65291
Tao, Xia; Xie, Ziqing; Zhou, Xiaojun
23
2011
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
22
2010
A source transfer domain decomposition method for Helmholtz equations in unbounded domain, part II: extensions. Zbl 1299.65287
Chen, Zhiming; Xiang, Xueshuang
22
2013
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
22
2016
Spectral analysis for HSS preconditioners. Zbl 1174.65352
Chan, Lung Chak; Ng, Michael K.; Tsing, Nam Kiu
20
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
20
2017
Weakly admissible meshes and discrete extremal sets. Zbl 1249.65014
Bos, Len; De Marchi, Stefano; Sommariva, Alvise; Vianello, Marco
19
2011
Chebyshev spectral methods and the Lane-Emden problem. Zbl 1249.65158
Boyd, John P.
19
2011
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
19
2009
Preconditioners for incompressible Navier-Stokes solvers. Zbl 1240.65098
Segal, A.; ur Rehman, M.; Vuik, C.
18
2010
Deferred correction methods for forward backward stochastic differential equations. Zbl 1389.60083
Tang, Tao; Zhao, Weidong; Zhou, Tao
18
2017
Convergence analysis of a Legendre spectral collocation method for second order Volterra integro-differential equations. Zbl 1265.65278
Wei, Yunxia; Chen, Yanping
17
2011
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.
17
2013
A geometric space-time multigrid algorithm for the heat equation. Zbl 1265.65195
Weinzierl, Tobias; Köppl, Tobias
17
2012
A survey of the \(\mathrm{L1}\) scheme in the discretisation of time-fractional problems. Zbl 1524.65398
Stynes, Martin
17
2022
Quasi-optimal convergence rate of an AFEM for quasi-linear problems of monotone type. Zbl 1265.65223
Garau, Eduardo M.; Morin, Pedro; Zuppa, Carlos
16
2012
A note on parallel preconditioning for the all-at-once solution of Riesz fractional diffusion equations. Zbl 1499.65104
Gu, Xian-Ming; Zhao, Yong-Liang; Zhao, Xi-Le; Carpentieri, Bruno; Huang, Yu-Yun
16
2021
Numerical analysis of a system of singularly perturbed convection-diffusion equations related to optimal control. Zbl 1265.65123
Roos, Hans-Görg; Reibiger, Christian
15
2011
Algebraic theory of two-grid methods. Zbl 1349.65681
Yvan, Notay
15
2015
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.
15
2009
A second-order method for the electromagnetic scattering from a large cavity. Zbl 1187.78036
Wang, Yingxi; Du, Kui; Sun, Weiwei
15
2008
A multigrid block LU-SGS algorithm for Euler equations on unstructured grids. Zbl 1174.76313
Li, Ruo; Wang, Xin; Zhao, Weibo
15
2008
A hybrid spectral element method for fractional two-point boundary value problems. Zbl 1413.65307
Sheng, Changtao; Shen, Jie
15
2017
Towards textbook efficiency for parallel multigrid. Zbl 1340.65296
Gmeiner, Björn; Rüde, Ulrich; Stengel, Holger; Waluga, Christian; Wohlmuth, Barbara
15
2015
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
14
2008
Linear stability of hyperbolic moment models for Boltzmann equation. Zbl 1389.35054
Di, Yana; Fan, Yuwei; Li, Ruo; Zheng, Lingchao
14
2017
A multistep scheme for decoupled forward-backward stochastic differential equations. Zbl 1374.65008
Zhao, Weidong; Zhang, Wei; Ju, Lili
14
2016
Spectral analysis for preconditioning of multi-dimensional Riesz fractional diffusion equations. Zbl 1513.65054
Huang, Xin; Lin, Xue-Lei; Ng, Michael K.; Sun, Hai-Wei
14
2022
Best rank-one approximation of fourth-order partially symmetric tensors by neural network. Zbl 1438.65088
Wang, Xuezhong; Che, Maolin; Wei, Yimin
14
2018
Spectral method approximation of flow optimal control problems with \(H^1\)-norm state constraint. Zbl 1399.49019
Chen, Yanping; Huang, Fenglin
13
2017
A multilevel correction method for Steklov eigenvalue problem by nonconforming finite element methods. Zbl 1349.65603
Han, Xiaole; Li, Yu; Xie, Hehu
13
2015
A finite difference scheme for blow-up solutions of nonlinear wave equations. Zbl 1240.65237
Cho, Chien-Hong
13
2010
Fast linearized augmented Lagrangian method for Euler’s elastica model. Zbl 1389.94035
Zhang, Jun; Chen, Rongliang; Deng, Chengzhi; Wang, Shengqian
13
2017
A weak Galerkin finite element method for elliptic interface problems with polynomial reduction. Zbl 1438.65283
Deka, Bhupen
13
2018
A space-time Petrov-Galerkin spectral method for time fractional diffusion equation. Zbl 1438.65308
Sheng, Changtao; Shen, Jie
13
2018
A new theoretical estimate for the convergence rate of the maximal weighted residual Kaczmarz algorithm. Zbl 1449.65054
Du, Kui; Gao, Han
13
2019
Itô-Taylor schemes for solving mean-field stochastic differential equations. Zbl 1399.60121
Sun, Yabing; Yang, Jie; Zhao, Weidong
12
2017
Analysis of direct and inverse cavity scattering problems. Zbl 1265.78008
Bao, Gang; Gao, Jinglu; Li, Peijun
12
2011
A multigrid solver based on distributive smoother and residual overweighting for Oseen problems. Zbl 1363.65155
Chen, Long; Hu, Xiaozhe; Wang, Ming; Xu, Jinchao
12
2015
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.
12
2015
A compound algorithm of denoising using second-order and fourth-order partial differential equations. Zbl 1212.68383
Chang, Qianshun; Tai, Xuecheng; Xing, Lily
12
2009
Convex variational formulation with smooth coupling for multicomponent signal decomposition and recovery. Zbl 1201.94021
Briceño-Arias, Luis M.; Combettes, Patrick L.
12
2009
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
12
2013
Orbital-free density functional theory for molecular structure calculations. Zbl 1174.81316
Chen, Huajie; Zhou, Aihui
12
2008
Finite difference schemes for the tempered fractional Laplacian. Zbl 1449.65213
Zhang, Zhijiang; Deng, Weihua; Fan, Hongtao
12
2019
Fourth-order splitting methods for time-dependant differential equations. Zbl 1174.35408
Geiser, Jürgen
11
2008
Numerical solution of stochastic Ito-Volterra integral equations using Haar wavelets. Zbl 1413.65490
Mohammadi, Fakhrodin
11
2016
Bootstrap algebraic multigrid: status report, open problems, and outlook. Zbl 1340.65289
Brandt, Achi; Brannick, James; Kahl, Karsten; Livshits, Ira
11
2015
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
11
2020
A linearized high-order combined compact difference scheme for multi-dimensional coupled Burgers’ equations. Zbl 1424.65124
Chen, Buyun; He, Dongdong; Pan, Kejia
11
2018
A fitted Numerov method for singularly perturbed parabolic partial differential equation with a small negative shift arising in control theory. Zbl 1313.65224
Rao, R. Nageshwar; Chakravarthy, P. Pramod
10
2014
A triangular spectral method for the Stokes equations. Zbl 1249.65262
Chen, Lizhen; Shen, Jie; Xu, Chuanju
10
2011
A fourth-order modified method for the Cauchy problem of the modified Helmholtz equation. Zbl 1212.65355
Shi, R.; Wei, T.; Qin, H. H.
10
2009
A fast augmented Lagrangian method for Euler’s elastica models. Zbl 1289.94006
Duan, Yuping; Wang, Yu; Hahn, Jooyoung
10
2013
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
10
2012
Interpolation by \(G^2\) quintic Pythagorean-Hodograph curves. Zbl 1324.65011
Jaklič, Gašper; Kozak, Jernej; Krajnc, Marjeta; Vitrih, Vito; Žagar, Emil
10
2014
The variable-step L1 scheme preserving a compatible energy law for time-fractional Allen-Cahn equation. Zbl 1524.35663
Liao, Hong-Lin; Zhu, Xiaohan; Wang, Jindi
10
2022
Numerical analysis of a dynamic contact problem with history-dependent operators. Zbl 1463.65314
Xuan, Hailing; Cheng, Xiaoliang; Han, Weimin; Xiao, Qichang
10
2020
A third order accurate in time, BDF-type energy stable scheme for the Cahn-Hilliard equation. Zbl 1499.65556
Cheng, Kelong; Wang, Cheng; Wise, Steven M.; Wu, Yanmei
10
2022
A novel class of energy-preserving Runge-Kutta methods for the Korteweg-de Vries equation. Zbl 1513.65402
Chen, Yue; Gong, Yuezheng; Hong, Qi; Wang, Chunwu
10
2022
Numerical approximation to a stochastic parabolic PDE with weak Galerkin method. Zbl 1438.65007
Zhu, Hongze; Zou, Yongkui; Chaiand, Shimin; Zhou, Chenguang
10
2018
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
10
2019
A spectral method for a neutral Volterra integro-differential equation with a weakly singular kernel. Zbl 1289.65298
Wei, Yunxia; Chen, Yanping
9
2013
Blow-up of Volterra integro-differential equations and applications to semi-linear Volterra diffusion equations. Zbl 1399.35103
Yang, Zhanwen; Tang, Tao; Zhang, Jiwei
9
2017
Fast texture segmentation based on semi-local region descriptor and active contour. Zbl 1212.68390
Houhou, Nawal; Thiran, Jean-Philippe; Bresson, Xavier
9
2009
Robust multiscale iterative solvers for nonlinear flows in highly heterogeneous media. Zbl 1274.76248
Efendiev, Y.; Galvis, J.; Kang, S. Ki; Lazarov, R. D.
9
2012
Uniform convergence of adaptive multigrid methods for elliptic problems and Maxwell’s equations. Zbl 1274.65287
Hiptmair, Ralf; Wu, Haijun; Zheng, Weiying
9
2012
A collocation method for initial value problems of second-order ODEs by using Laguerre functions. Zbl 1249.65153
Yan, Jianping; Guo, Benyu
9
2011
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
9
2013
High order mass-lumping finite elements on simplexes. Zbl 1399.65246
Cui, Tao; Leng, Wei; Lin, Deng; Ma, Shichao; Zhang, Linbo
9
2017
A vertex-centered and positivity-preserving finite volume scheme for two-dimensional three-temperature radiation diffusion equations on general polygonal meshes. Zbl 1463.65268
Su, Shuai; Wu, Jiming
9
2020
Numerical analysis of partially penalized immersed finite element methods for hyperbolic interface problems. Zbl 1424.65173
Yang, Qing
9
2018
A modified weak Galerkin finite element method for the poroelasticity problems. Zbl 1438.65299
Wang, Ruishu; Wang, Xiaoshen; Zhang, Ran
9
2018
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
9
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
9
2019
An adaptive hybridized interior penalty discontinuous Galerkin method for H(curl)-elliptic problems. Zbl 1249.65228
Carstensen, C.; Hoppe, R. H. W.; Sharma, N.; Warburton, T.
8
2011
A stochastic approximation frame algorithm with adaptive directions. Zbl 1199.65015
Xu, Zi; Dai, Yuhong
8
2008
New estimates for the rate of convergence of the method of subspace corrections. Zbl 1174.65354
Cho, Durkbin; Xu, Jinchao; Zikatanov, Ludmil
8
2008
Uniform convergence analysis for singularly perturbed elliptic problems with parabolic layers. Zbl 1174.65508
Li, Jichun; Chen, Yitung
8
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
8
2008
A finite difference scheme on a priori adapted meshes for a singularly perturbed parabolic convection-diffusion equation. Zbl 1174.65466
Shishkin, Grigory I.
8
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.
8
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
8
2016
A multilevel method for the solution of time dependent optimal transport. Zbl 1340.76064
Haber, Eldad; Horesh, Raya
8
2015
An immersed interface method for simulating two-fluid flows. Zbl 1324.76042
Uh, Miguel; Xu, Sheng
8
2014
Sparse deep neural network for nonlinear partial differential equations. Zbl 07672342
Xu, Yuesheng; Zeng, Taishan
2
2023
An energy stable filtered backward Euler scheme for the MBE equation with slope selection. Zbl 1524.65408
Wang, Jiexin; Liao, Hong-Lin; Zhao, Ying
2
2023
A second-order semi-implicit method for the inertial Landau-Lifshitz-Gilbert equation. Zbl 1524.35664
Li, Panchi; Yang, Lei; Lan, Jin; Du, Rui; Chen, Jingrun
2
2023
Semi-discrete and fully discrete weak Galerkin finite element methods for a quasistatic Maxwell viscoelastic model. Zbl 1524.35640
Xiao, Jihong; Zhu, Zimo; Xie, Xiaoping
1
2023
A study on CFL conditions for the DG solution of conservation laws on adaptive moving meshes. Zbl 1524.65630
Zhang, Min; Huang, Weizhang; Qiu, Jianxian
1
2023
A structure-preserving JKO scheme for the size-modified Poisson-Nernst-Planck-Cahn-Hilliard equations. Zbl 1524.35299
Ding, Jie; Ji, Xiang
1
2023
A survey of the \(\mathrm{L1}\) scheme in the discretisation of time-fractional problems. Zbl 1524.65398
Stynes, Martin
17
2022
Spectral analysis for preconditioning of multi-dimensional Riesz fractional diffusion equations. Zbl 1513.65054
Huang, Xin; Lin, Xue-Lei; Ng, Michael K.; Sun, Hai-Wei
14
2022
The variable-step L1 scheme preserving a compatible energy law for time-fractional Allen-Cahn equation. Zbl 1524.35663
Liao, Hong-Lin; Zhu, Xiaohan; Wang, Jindi
10
2022
A third order accurate in time, BDF-type energy stable scheme for the Cahn-Hilliard equation. Zbl 1499.65556
Cheng, Kelong; Wang, Cheng; Wise, Steven M.; Wu, Yanmei
10
2022
A novel class of energy-preserving Runge-Kutta methods for the Korteweg-de Vries equation. Zbl 1513.65402
Chen, Yue; Gong, Yuezheng; Hong, Qi; Wang, Chunwu
10
2022
An efficient mapped WENO scheme using approximate constant mapping. Zbl 1499.65407
Li, Ruo; Zhong, Wei
8
2022
Fast second-order evaluation for variable-order Caputo fractional derivative with applications to fractional sub-diffusion equations. Zbl 1499.35697
Zhang, Jia-Li; Fang, Zhi-Wei; Sun, Hai-Wei
7
2022
Analysis of anisotropic nonlocal diffusion models: well-posedness of fractional problems for anomalous transport. Zbl 07672281
D’Elia, Marta; Gulian, Mamikon
6
2022
Two-phase image segmentation by the Allen-Cahn equation and a nonlocal edge detection operator. Zbl 07672291
Qiao, Zhonghua; Zhang, Qian
5
2022
A unified fast memory-saving time-stepping method for fractional operators and its applications. Zbl 1524.65349
Huang, Yuxiang; Li, Qiaoge; Li, Rongxin; Zeng, Fanhai; Guo, Ling
5
2022
A robust modified weak Galerkin finite element method for reaction-diffusion equations. Zbl 1499.65671
Li, Guanrong; Chen, Yanping; Huang, Yunqing
4
2022
Stability of spike solutions to the fractional Gierer-Meinhardt system in a one-dimensional domain. Zbl 1524.35692
Gomez, Daniel; Wei, Jun-Cheng; Yang, Wen
3
2022
Galerkin finite element approximation for semilinear stochastic time-tempered fractional wave equations with multiplicative Gaussian noise and additive fractional Gaussian noise. Zbl 1524.35704
Li, Yajing; Wang, Yejuan; Deng, Weihua; Nie, Daxin
3
2022
Efficient and accurate numerical methods using the accelerated spectral deferred correction for solving fractional differential equations. Zbl 1524.65643
Chen, Xuejuan; Mao, Zhiping; Karniadakis, George Em
2
2022
A nonlocal Stokes system with volume constraints. Zbl 07672283
Du, Qiang; Shi, Zuoqiang
2
2022
A robust hybrid spectral method for nonlocal problems with weakly singular kernels. Zbl 1524.65693
Zhang, Chao; Yao, Guoqing; Chen, Sheng
2
2022
L1/local discontinuous Galerkin method for the time-fractional Stokes equation. Zbl 1524.35701
Li, Changpin; Wang, Zhen
2
2022
A local deep learning method for solving high order partial differential equations. Zbl 1499.35577
Yang, Jiang; Zhu, Quanhui
2
2022
On discontinuous and continuous approximations to second-kind Volterra integral equations. Zbl 1499.65754
Liang, Hui
2
2022
Numerical solution of a one-dimensional nonlocal Helmholtz equation by perfectly matched layers. Zbl 1499.49083
Du, Yu; Zhang, Jiwei
2
2022
A dual-horizon nonlocal diffusion model and its finite element discretization. Zbl 1524.65960
Bi, Mingchao; Ju, Lili; Tian, Hao
1
2022
Efficient Hermite spectral-Galerkin methods for nonlocal diffusion equations in unbounded domains. Zbl 1524.65665
Li, Huiyuan; Liu, Ruiqing; Wang, Li-Lian
1
2022
Approximation of the spectral fractional powers of the Laplace-Beltrami operator. Zbl 1524.65760
Bonito, Andrea; Lei, Wenyu
1
2022
Long time energy and kinetic energy conservations of exponential integrators for highly oscillatory conservative systems. Zbl 1513.65502
Li, Ting; Liu, Changying; Wang, Bin
1
2022
A novel numerical approach to time-fractional parabolic equations with nonsmooth solutions. Zbl 1488.65256
Li, Dongfang; Sun, Weiwei; Wu, Chengda
37
2021
A note on parallel preconditioning for the all-at-once solution of Riesz fractional diffusion equations. Zbl 1499.65104
Gu, Xian-Ming; Zhao, Yong-Liang; Zhao, Xi-Le; Carpentieri, Bruno; Huang, Yu-Yun
16
2021
Generalized singular value decompositions for tensors and their applications. Zbl 1488.15044
He, Zhuoheng; Ng, Michael K.; Zeng, Chao
8
2021
Convergence of the Peaceman-Rachford splitting method for a class of nonconvex programs. Zbl 1488.90142
Chao, Miantao; Han, Deren; Cai, Xingju
7
2021
On nonnegative solution of multi-linear system with strong \({\mathcal{M}_z}\)-tensors. Zbl 1488.15045
Mo, Changxin; Wei, Yimin
6
2021
On the construction and analysis of finite volume element schemes with optimal \(L^2\) convergence rate. Zbl 1488.65204
Wang, Xiang; Zhang, Yuqing
6
2021
A new ensemble HDG method for parameterized convection diffusion PDEs. Zbl 1488.65485
Yu, Yong; Chen, Gang; Pi, Liangya; Zhang, Yangwen
5
2021
Low regularity error analysis for weak Galerkin finite element methods for second order elliptic problems. Zbl 1488.65668
Ye, Xiu; Zhang, Shangyou
5
2021
A hybrid WENO method with modified ghost fluid method for compressible two-medium flow problems. Zbl 1499.65453
Zhao, Zhuang; Chen, Yibing; Qiu, Jianxian
4
2021
Explicit hybrid numerical method for the Allen-Cahn type equations on curved surfaces. Zbl 1488.65229
Choi, Yongho; Li, Yibao; Lee, Chaeyoung; Kim, Hyundong; Kim, Junseok
4
2021
Convergence and stability of the truncated Euler-Maruyama method for stochastic differential equations with piecewise continuous arguments. Zbl 1488.65011
Geng, Yidan; Song, Minghui; Lu, Yulan; Liu, Mingzhu
3
2021
An implicit solver for the time-dependent Kohn-Sham equation. Zbl 1488.65400
Yang, Lei; Shen, Yedan; Hu, Zhicheng; Hu, Guanghui
3
2021
Numerical analysis of a high-order scheme for nonlinear fractional differential equations with uniform accuracy. Zbl 1488.65193
Cao, Junying; Cai, Zhenning
3
2021
The virtual element method for an elliptic hemivariational inequality with convex constraint. Zbl 1488.65611
Feng, Fang; Han, Weimin; Huang, Jianguo
3
2021
Variant of greedy randomized Gauss-Seidel method for ridge regression. Zbl 1488.62001
Duan, Lixiao; Zhang, Guofeng
3
2021
A high-order piecewise quartic spline rule for Hadamard integral and its application of the cavity scattering. Zbl 1488.65050
Zhao, Meiling; He, Wenjie; Gu, Gendai
3
2021
Stability and convergence analyses of the FDM based on some L-type formulae for solving the subdiffusion equation. Zbl 1499.65420
Mokhtari, Reza; Ramezani, Mohadese; Haase, Gundolf
2
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Accelerated non-overlapping domain decomposition method for total variation minimization. Zbl 1513.65184
Li, Xue; Zhang, Zhenwei; Chang, Huibin; Duan, Yuping
2
2021
On a parabolic sine-Gordon model. Zbl 1499.65379
Cheng, Xinyu; Li, Dong; Quan, Chaoyu; Yang, Wen
2
2021
A general cavitation model for the highly nonlinear Mie-Grüneisen equation of state. Zbl 1499.76069
Fu, Meiyan; Lu, Tiao
2
2021
Quasi-Monte Carlo sampling for solving partial differential equations by deep neural networks. Zbl 1488.65004
Chen, Jingrun; Du, Rui; Li, Panchi; Lv, Liyao
2
2021
A linearized spectral-Galerkin method for three-dimensional Riesz-like space fractional nonlinear coupled reaction-diffusion equations. Zbl 1488.65501
Guo, Shimin; Yan, Wenjing; Mei, Liquan; Wang, Ying; Wang, Lingling
2
2021
An acceleration technique for the augmented IIM for 3D elliptic interface problems. Zbl 1488.65565
Zhang, Changjuan; Li, Zhilin; Yue, Xingye
2
2021
Nonlinear level set learning for function approximation on sparse data with applications to parametric differential equations. Zbl 1499.65052
Gruber, Anthony; Gunzburger, Max; Ju, Lili; Teng, Yuankai; Wang, Zhu
1
2021
Generalized rough polyharmonic splines for multiscale PDEs with rough coefficients. Zbl 1513.65485
Liu, Xinliang; Zhang, Lei; Zhu, Shengxin
1
2021
A sequential least squares method for elliptic equations in non-divergence form. Zbl 1499.65674
Li, Ruo; Yang, Fanyi
1
2021
Strong convergence of a fully discrete scheme for multiplicative noise driving SPDEs with non-globally Lipschitz continuous coefficients. Zbl 1513.65391
Yang, Xu; Zhao, Weidong
1
2021
A 2D staggered multi-material ALE code using MOF interface reconstruction. Zbl 1488.65331
Chen, Yibing; Cheng, Junxia; Pan, Liang; Yang, Haihua; Yong, Heng; Yu, Xin
1
2021
On the evolutionary dynamics of the Cahn-Hilliard equation with cut-off mass source. Zbl 1488.65253
Lee, Chaeyoung; Kim, Hyundong; Yoon, Sungha; Park, Jintae; Kim, Sangkwon; Yang, Junxiang; Kim, Junseok
1
2021
On Poincaré-Friedrichs type inequalities for the broken Sobolev space \({W^{2, 1}}\). Zbl 1488.65618
Hoppe, R. H. W.
1
2021
Discrete approximation scheme in distributionally robust optimization. Zbl 1488.90246
Liu, Yongchao; Yuan, Xiaoming; Zhang, Jin
1
2021
An improved linearity-preserving cell-centered scheme for nonlinear diffusion problems on general meshes. Zbl 1488.65336
Dong, Cheng; Kang, Tong
1
2021
Efficient and accurate Legendre spectral element methods for one-dimensional higher order problems. Zbl 1488.65529
Zhang, Yang; Yu, Xuhong; Wang, Zhongqing
1
2021
A linear hybridization of Dai-Yuan and Hestenes-Stiefel conjugate gradient method for unconstrained optimization. Zbl 1488.65141
Narayanan, Sindhu; Kaelo, P.
1
2021
Generating layer-adapted meshes using mesh partial differential equations. Zbl 1488.65617
Hill, Roisin; Madden, Niall
1
2021
A second-order synchrosqueezing transform with a simple form of phase transformation. Zbl 1488.42037
Lu, Jian; Alzahrani, Jawaher H.; Jiang, Qingtang
1
2021
A parameterized class of complex nonsymmetric algebraic Riccati equations. Zbl 1488.65091
Dong, Liqiang; Li, Jicheng; Liu, Xuenian
1
2021
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
11
2020
Numerical analysis of a dynamic contact problem with history-dependent operators. Zbl 1463.65314
Xuan, Hailing; Cheng, Xiaoliang; Han, Weimin; Xiao, Qichang
10
2020
A vertex-centered and positivity-preserving finite volume scheme for two-dimensional three-temperature radiation diffusion equations on general polygonal meshes. Zbl 1463.65268
Su, Shuai; Wu, Jiming
9
2020
The generalized order tensor complementarity problems. Zbl 1463.90221
Che, Maolin; Qi, Liqun; Wei, Yimin
8
2020
Error analysis of SAV finite element method to phase field crystal model. Zbl 1463.65310
Wang, Liupeng; Huang, Yunqing; Jiang, Kai
8
2020
Fast evaluation of linear combinations of Caputo fractional derivatives and its applications to multi-term time-fractional sub-diffusion equations. Zbl 1463.65221
Gao, Guanghua; Yang, Qian
7
2020
A high-order kernel-free boundary integral method for incompressible flow equations in two space dimensions. Zbl 1463.65277
Xie, Yaning; Ying, Wenjun
6
2020
Finite element approximation of space fractional optimal control problem with integral state constraint. Zbl 1474.65453
Zhou, Zhaojie; Song, Jiabin; Chen, Yanping
6
2020
A well-conditioned, nonconforming Nitsche’s extended finite element method for elliptic interface problems. Zbl 1463.65370
He, Xiaoxiao; Song, Fei; Deng, Weibing
5
2020
Two-grid finite element method with Crank-Nicolson fully discrete scheme for the time-dependent Schrödinger equation. Zbl 1463.65281
Wang, Jianyun; Jin, Jicheng; Tian, Zhikun
5
2020
A dynamical method for solving the obstacle problem. Zbl 1463.35278
Ran, Qinghua; Cheng, Xiaoliang; Abide, Stephane
5
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
5
2020
Effect of space dimensions on equilibrium solutions of Cahn-Hilliard and conservative Allen-Cahn equations. Zbl 1463.35299
Lee, Hyun Geun; Yang, Junxiang; Park, Jintae; Kim, Junseok
5
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
5
2020
Superconvergence of the composite rectangle rule for computing hypersingular integral on interval. Zbl 1463.65028
Li, Jin; Cheng, Yongling; Li, Zongcheng
5
2020
Newton linearized methods for semilinear parabolic equations. Zbl 1474.65378
Zhou, Boya; Li, Dongfang
5
2020
Auxiliary equations approach for the stochastic unsteady Navier-Stokes equations with additive random noise. Zbl 1463.65317
Zhao, Wenju; Gunzburger, Max
4
2020
One-step hybrid block method containing third derivatives and improving strategies for solving Bratu’s and Troesch’s problems. Zbl 1474.65234
Rufai, Mufutau Ajani; Ramos, Higinio
4
2020
The conservation and convergence of two finite difference schemes for KdV equations with initial and boundary value conditions. Zbl 1463.65246
Shen, Jinye; Wang, Xuping; Sun, Zhizhong
3
2020
A stabilized low order finite element method for three dimensional elasticity problems. Zbl 1463.65374
Jo, Gwanghyun; Kwak, Do Y.
3
2020
A continuous-stage modified leap-frog scheme for high-dimensional semi-linear Hamiltonian wave equations. Zbl 1463.65407
Wang, Bin; Wu, Xinyuan; Fang, Yonglei
3
2020
A new iteration and preconditioning method for elliptic PDE-constrained optimization problems. Zbl 1474.65071
Axelsson, Owe; Salkuyeh, Davod Khojasteh
3
2020
Improved 3D surface reconstruction via the method of fundamental solutions. Zbl 1474.65037
Zheng, Hui; Wang, Feng; Chen, C. S.; Lei, M.; Wang, Yong
3
2020
A two-grid algorithm of fully discrete Galerkin finite element methods for a nonlinear hyperbolic equation. Zbl 1474.65356
Li, Kang; Tan, Zhijun
3
2020
Highly accurate numerical schemes for stochastic optimal control via FBSDEs. Zbl 1463.65005
Fu, Yu; Zhao, Weidong; Zhou, Tao
2
2020
Decoupled mixed element methods for fourth order elliptic optimal control problems with control constraints. Zbl 1463.65376
Shen, Yue; Jin, Chang
2
2020
An adaptive nonmonotone projected Barzilai-Borwein gradient method with active set prediction for nonnegative matrix factorization. Zbl 1463.65102
Li, Jicheng; Li, Wenbo; Liu, Xuenian
2
2020
A simple semi-implicit scheme for partial differential equations with obstacle constraints. Zbl 1463.65344
Liu, Hao; Leung, Shingyu
2
2020
Energy identities and stability analysis of the Yee scheme for 3D Maxwell equations. Zbl 1463.65343
Gao, Liping; Sang, Xiaorui; Shi, Rengang
2
2020
Effect of flux evaluation methods on the resolution and robustness of the two-step finite-difference WENO scheme. Zbl 1474.65278
Kamiya, T.; Asahara, M.; Nonomura, T.
2
2020
Uniformly distributed circular porous pattern generation on surface for 3D printing. Zbl 1474.65041
Yoon, Sungha; Lee, Chaeyoung; Park, Jintae; Jeong, Darae; Kim, Junseok
2
2020
Solution remapping technique to accelerate flow convergence for finite volume methods applied to shape optimization design. Zbl 1474.49091
Wang, Jufang; Wang, Zheng; Liu, Tiegang
2
2020
Several variants of the primal-dual hybrid gradient algorithm with applications. Zbl 1463.65150
Bai, Jianchao; Li, Jicheng; Wu, Zhi’e
1
2020
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Cited by 3,502 Authors

38 Chen, Yanping
33 Chung, Tsz Shun Eric
31 Huang, Yunqing
21 Hu, Guanghui
19 Li, Ruo
19 Xu, Da
18 Zhao, Weidong
16 Yuan, Guangwei
16 Zhou, Zhaojie
15 Carstensen, Carsten
15 Zhang, Bo
15 Zheng, Weiying
14 Duits, Remco
14 Kim, Junseok
13 Ramos, Higinio
13 Vianello, Marco
13 Xu, Chuanju
13 Yang, Yin
12 He, Yunhui
12 Leung, Wingtat
12 Pan, Kejia
12 Sommariva, Alvise
12 Sun, Haiwei
12 Wang, Cheng
11 Rüde, Ulrich
11 Sheng, Zhiqiang
11 Shu, Shi
11 Tan, Zhijun
11 Yi, Lijun
11 Zhang, Haiwen
11 Zhou, Tao
10 Combettes, Patrick L.
10 Deka, Bhupen
10 Lin, Tao
10 Qiao, Zhonghua
10 Uecker, Hannes
10 Wang, Liqun
10 Yang, Junxiang
10 Zhou, Shenggao
9 Efendiev, Yalchin R.
9 Fu, Shubin
9 Gu, Xian-Ming
9 Guo, Yukun
9 He, Dongdong
9 He, Xiaoming
9 Huang, Ting-Zhu
9 Kimmel, Ron
9 Li, Dongfang
9 Liu, Li-Bin
9 Mashtakov, Alexey P.
9 Wohlmuth, Barbara I.
9 Wu, Boying
9 Xie, Xiaoping
9 Zhang, Zhimin
8 Chen, Hongbin
8 Chen, Zhiming
8 Cheng, Xiaoliang
8 Deng, Weihua
8 Ding, Qianqian
8 Du, Kui
8 Feng, Xinlong
8 Gander, Martin Jakob
8 Gu, Zhendong
8 Li, Zhilin
8 Liu, Hongyu
8 Long, Xiaonian
8 Praetorius, Dirk
8 Qiu, Wenlin
8 Subburayan, Veerasamy
8 Sun, Yabing
8 Sun, Zhizhong
8 Wang, Xiaoshen
8 Zhang, Jiwei
8 Zhang, Xu
7 Chen, Lizhen
7 Chen, Wenbin
7 Hajarian, Masoud
7 Hu, Xiaozhe
7 Huang, Jianfei
7 Jiang, Xue
7 Li, Shishun
7 Liu, Jun
7 Mao, Shipeng
7 Tai, Xuecheng
7 Tang, Huazhong
7 Wang, Hong
7 Wang, Zhongqing
7 Xin, Jack X.
7 Xu, Fei
7 Ying, Wenjun
7 Yue, Xiaoqiang
7 Zhai, Qilong
7 Zhang, Deyue
7 Zhang, Linbo
7 Zhang, Shangyou
6 Bekkers, Erik J.
6 Chen, Ke
6 Chen, Zhangxin
6 Du, Qiang
6 Ehrhardt, Matthias
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Cited in 291 Journals

138 Journal of Computational and Applied Mathematics
137 Journal of Computational Physics
131 Journal of Scientific Computing
102 Computers & Mathematics with Applications
83 SIAM Journal on Scientific Computing
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72 Communications in Computational Physics
57 Numerical Algorithms
56 Advances in Applied Mathematics and Mechanics
50 Computational and Applied Mathematics
49 Numerical Methods for Partial Differential Equations
42 East Asian Journal on Applied Mathematics
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19 Applied Mathematical Modelling
18 Computers and Fluids
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18 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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16 Advances in Difference Equations
15 Inverse Problems
15 Discrete and Continuous Dynamical Systems. Series B
14 Applied Mathematics Letters
13 BIT
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12 Calcolo
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12 International Journal of Numerical Analysis and Modeling
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11 Science China. Mathematics
11 Electronic Research Archive
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5 Abstract and Applied Analysis
5 Acta Numerica
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4 Journal of Mathematical Biology
4 Bulletin of Mathematical Biology
4 SIAM Journal on Control and Optimization
4 Optimal Control Applications & Methods
4 Bulletin of the Iranian Mathematical Society
4 Journal of Inverse and Ill-Posed Problems
4 Computing and Visualization in Science
4 Journal of Applied Mathematics
4 Boundary Value Problems
4 Journal of Industrial and Management Optimization
3 Journal of Mathematical Analysis and Applications
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3 Acta Mathematicae Applicatae Sinica. English Series
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