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International Journal of Numerical Analysis and Modeling

Short Title: Int. J. Numer. Anal. Model.
Publisher: Institute for Scientific Computing and Information (ISCI), Edmonton, Alberta; Wuhan University, Wuhan
ISSN: 1705-5105; 2617-8710/e
Online: https://www.global-sci.org/ijnam/periodical_list.html
Comments: Journal; Indexed cover-to-cover; In 2015 the journal incorporated: Int. J. Numer. Anal. Model., Ser. B (ISSN 1923-2942; 1923-2950/e)
Documents Indexed: 840 Publications (since 2004)
References Indexed: 241 Publications with 7,479 References.
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Latest Issues

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Authors

13 Ye, Xiu
13 Zhang, Zhimin
12 He, Yinnian
11 Baccouch, Mahboub
11 Chen, Zhangxin
11 Pani, Amiya Kumar
9 Lin, Yanping
9 Wang, Junping
8 Houston, Paul
8 Liu, Steve Wenbin
8 Tai, Xuecheng
8 Temam, Roger Meyer
8 Zhang, Shangyou
7 Cao, Yanzhao
7 Lin, Tao
7 Schurz, Henri
7 Shu, Chi-Wang
7 Wang, Hong
7 Zou, Qingsong
6 Cao, Liqun
6 Gracia, José Luis
6 Li, Jian
6 Li, Zhilin
6 Liang, Dong
6 Xie, Hehu
6 Xu, Yuesheng
6 Yan, Ningning
5 Chen, Yanping
5 Gunzburger, Max D.
5 Hu, Qiya
5 Huang, Yunqing
5 Ju, Lili
5 Jung, Changyeol
5 Layton, William J.
5 Lee, Hyesuk Kwon
5 Neda, Monika
5 Nie, Yufeng
5 Peszyńska, Małgorzata
5 Rebholz, Leo G.
5 Shi, Dongyang
5 Wong, Yau Shu
5 Yang, Hongtao
5 Yang, Xiaozhong
4 Chen, Chuanmiao
4 Chen, Ke
4 Chou, So-Hsiang
4 Clavero, Carmelo
4 Du, Qiang
4 Fernández, Jose Ramon
4 Gaspar, Francisco José
4 Ge, Liang
4 Huang, Qiumei
4 O’Riordan, Eugene
4 Qiao, Zhonghua
4 Sheen, Dongwoo
4 Shi, Zhongci
4 Sun, Pengtao
4 Sun, Tongjun
4 Sun, Weiwei
4 Tveito, Aslak
4 Vabishchevich, Pëtr Nikolaevich
4 Wang, Cheng
4 Wang, Kaixin
4 Wang, Kun
4 Wise, Steven M.
4 Xie, Dexuan
4 Zhou, Yanhui
3 Allegretto, Walter
3 Attanayake, Champike
3 Bialecki, Bernard
3 Boglaev, Igor P.
3 Bokil, Vrushali A.
3 Chen, Hongsen
3 Cheng, Xiaoliang
3 Chrysafinos, Konstantinos
3 Chung, Tsz Shun Eric
3 Cui, Ming
3 Deng, Jian
3 Deng, Xiaomao
3 Djoko, Jules K.
3 Feng, Xinlong
3 Glowinski, Roland
3 Gong, Wei
3 Hanslien, Monica
3 He, Xiaoming
3 Iliescu, Traian
3 Kaya, Songul
3 Kean, Kiera
3 Kopteva, Natalia Viktorovna
3 Kumar, Sarvesh
3 Li, Buyang
3 Li, Jichun
3 Li, Kaitai
3 Linß, Torsten
3 Meddahi, Salim
3 Mei, Ming
3 Miller, John James Henry
3 Mu, Lin
3 Nataraj, Neela
3 Nicaise, Serge
...and 1,327 more Authors
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Fields

702 Numerical analysis (65-XX)
400 Partial differential equations (35-XX)
200 Fluid mechanics (76-XX)
98 Calculus of variations and optimal control; optimization (49-XX)
64 Mechanics of deformable solids (74-XX)
56 Probability theory and stochastic processes (60-XX)
50 Ordinary differential equations (34-XX)
40 Biology and other natural sciences (92-XX)
35 Optics, electromagnetic theory (78-XX)
22 Computer science (68-XX)
21 Geophysics (86-XX)
19 Statistical mechanics, structure of matter (82-XX)
19 Operations research, mathematical programming (90-XX)
18 Systems theory; control (93-XX)
17 Information and communication theory, circuits (94-XX)
16 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
15 Dynamical systems and ergodic theory (37-XX)
14 Approximations and expansions (41-XX)
10 Integral equations (45-XX)
8 Operator theory (47-XX)
8 Statistics (62-XX)
8 Classical thermodynamics, heat transfer (80-XX)
6 General and overarching topics; collections (00-XX)
6 Real functions (26-XX)
5 Integral transforms, operational calculus (44-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Combinatorics (05-XX)
4 Quantum theory (81-XX)
3 History and biography (01-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Special functions (33-XX)
3 Functional analysis (46-XX)
3 Mechanics of particles and systems (70-XX)
2 Measure and integration (28-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Differential geometry (53-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Geometry (51-XX)

Publications by Year

Citations contained in zbMATH Open

633 Publications have been cited 4,460 times in 3,676 Documents Cited by Year
Weak Galerkin finite element methods on polytopal meshes. Zbl 1332.65172
Mu, Lin; Wang, Junping; Ye, Xiu
138
2015
Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations. Zbl 1281.65122
Li, Buyang; Sun, Weiwei
128
2013
Immersed finite element methods for elliptic interface problems with non-homogeneous jump conditions. Zbl 1211.65155
He, Xiaoming; Lin, Tao; Lin, Yanping
109
2011
Convergence and stability of implicit methods for jump-diffusion systems. Zbl 1109.65007
Higham, Desmond J.; Kloeden, Peter E.
64
2006
ADI finite difference schemes for option pricing in the Heston model with correlation. Zbl 1499.65276
Hout, K. J. In ’t; Foulon, S.
61
2010
Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. I: Method formulation. Zbl 1129.76030
Hartmann, Ralf; Houston, Paul
51
2006
Numerical analysis for a nonlocal Allen-Cahn equation. Zbl 1165.65051
Bates, Peter W.; Brown, Sarah; Han, Jianlong
45
2009
Error estimates and superconvergence of mixed finite element for quadratic optimal control. Zbl 1125.49026
Chen, Yanping; Liu, Wenbin
42
2006
Numerical methods for the extended Fisher-Kolmogorov (EFK) equation. Zbl 1111.65085
Danumjaya, Palla; Pani, Amiya Kumar
40
2006
Shishkin meshes in the numerical solution of singularly perturbed differential equations. Zbl 1197.65094
Kopteva, Natalia; O’Riordan, Eugene
38
2010
A general strategy for numerical approximations of non-equilibrium models. I: Thermodynamical systems. Zbl 1412.65099
Zhao, Jia; Yang, Xiaofeng; Gong, Yuezheng; Zhao, Xueping; Yang, Xiaogang; Li, Jun; Wang, Qi
37
2018
Numerical analysis of a finite element Crank-Nicolson discretization for MHD flows at small magnetic Reynolds numbers. Zbl 1266.76066
Yuksel, Gamze; Ingram, Ross
35
2013
Improved error estimation for the partially penalized immersed finite element methods for elliptic interface problems. Zbl 1427.65361
Guo, Ruchi; Lin, Tao; Zhuang, Qiao
33
2019
An optimal 9-point finite difference scheme for the Helmholtz equation with PML. Zbl 1272.65081
Chen, Zhongying; Cheng, Dongsheng; Feng, Wei; Wu, Tingting
30
2013
Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. II. Goal-oriented a posteriori error estimation. Zbl 1152.76429
Hartmann, Ralf; Houston, Paul
27
2006
Low order Crouzeix-Raviart type nonconforming finite element methods for approximating Maxwell’s equations. Zbl 1160.78315
Shi, Dongyang; Pei, Lifang
27
2008
A survey on multiple level set methods with applications for identifying piecewise constant functions. Zbl 1076.49020
Tai, Xue-Cheng; Chan, Tony F.
25
2004
Convergence of Rothe scheme for hemivariational inequalities of parabolic type. Zbl 1269.65066
Kalita, Piotr
25
2013
Superconvergence of tetrahedral linear finite element. Zbl 1100.65084
Chen, Long
24
2006
A numerical approach for solving a class of a singular boundary value problems arising in physiology. Zbl 1211.65097
Abukhaled, M.; Khuri, S. A.; Sayfy, A.
23
2011
Weak Galerkin finite element method for second order parabolic equations. Zbl 1362.65110
Zhang, Hongqin; Zou, Yongkui; Xu, Yingxiang; Zhai, Qilong; Yue, Hua
23
2016
High degree immersed finite element spaces by a least squares method. Zbl 1429.65291
Adjerid, Slimane; Guo, Ruchi; Lin, Tao
23
2017
A fast second-order finite difference method for space-fractional diffusion equations. Zbl 1279.65095
Basu, Treena S.; Wang, Hong
23
2012
The local discontinuous Galerkin method for optimal control problem governed by convection diffusion equations. Zbl 1195.65086
Zhou, Zhaojie; Yan, Ningning
23
2010
A slope limiting procedure in discontinuous Galerkin finite element method for gasdynamics applications. Zbl 1151.76530
Tu, Shuangzhang; Aliabadi, Shahrouz
22
2005
A hybridized weak Galerkin finite element method for the biharmonic equation. Zbl 1337.65160
Wang, Chunmei; Wang, Junping
22
2015
A new energy-conserved S-FDTD scheme for Maxwell’s equations in metamaterials. Zbl 1277.78033
Li, Wanshan; Liang, Dong; Lin, Yanping
22
2013
Interior layers in a reaction-diffusion equation with a discontinuous diffusion coefficient. Zbl 1202.65096
de Falco, Carlo; O’Riordan, Eugene
22
2010
Second-order parameter-uniform convergence for a finite difference method for a singularly perturbed linear parabolic system. Zbl 1279.65104
Franklin, V.; Paramasivam, M.; Miller, J. J. H.; Valarmathi, S.
21
2013
An efficient collocation method for a non-local diffusion model. Zbl 1280.65134
Tian, Hao; Wang, Hong; Wang, Wenqia
21
2013
An \(H^1\)-Galerkin mixed method for second order hyperbolic equations. Zbl 1082.65100
Pani, Amiya K.; Sinha, Rajen K.; Otta, Ajaya K.
20
2004
Uniform \(L^p\)-bound of the Allen-Cahn equation and its numerical discretization. Zbl 1408.65076
Yang, Jiang; Du, Qiang; Zhang, Wei
20
2018
A conforming discontinuous Galerkin finite element method. II. Zbl 1465.65151
Ye, Xiu; Zhang, Shangyou
20
2020
Finite volume element method for second order hyperbolic equations. Zbl 1134.65069
Kumar, Sarvesh; Nataraj, Neela; Pani, Amiya K.
19
2008
A finite element method for elasticity interface problems with locally modified triangulations. Zbl 1208.74170
Xie, Hui; Li, Zhilin; Qiao, Zhonghua
19
2011
Error analysis of a finite difference scheme for the epitaxial thin film model with slope selection with an improved convergence constant. Zbl 1371.35143
Qiao, Zhonghua; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru
19
2017
A higher-order ensemble/proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1402.35207
Gunzburger, Max; Jiang, Nan; Schneier, Michael
19
2018
Modeling, analysis and discretization of stochastic logistic equations. Zbl 1128.65008
Schurz, Henri
18
2007
Numerical analysis of a higher order time relaxation model of fluids. Zbl 1242.76061
Ervin, Vincent J.; Layton, William J.; Neda, Monika
18
2007
A priori error estimates for semidiscrete finite element approximation to equations of motion arising in Oldroyd fluids of order one. Zbl 1429.76070
Goswami, Deepjyoti; Pani, Amiya K.
18
2011
Well flow models for various numerical methods. Zbl 1158.76393
Chen, Zhangxin; Zhang, Youqian
18
2009
Stability of the kinematically coupled \(\beta\)-scheme for fluid-structure interaction problems in hemodynamics. Zbl 1332.35281
Čanič, Sunčica.; Muha, Boris; Bukac, Martina
18
2015
A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system. Zbl 1499.65424
Qin, Yuzhe; Wang, Cheng; Zhang, Zhengru
18
2021
A conforming discontinuous Galerkin finite element method. Zbl 1465.65150
Ye, Xiu; Zhang, Shangyou
18
2020
Stability-preserving finite difference methods for general multi-dimensional autonomous dynamical systems. Zbl 1113.37065
Dimitrov, Dobromir T.; Kojouharov, Hristo V.
17
2007
Optimal design of the support of the control for the 2-D wave equation: a numerical method. Zbl 1242.49091
Münch, Arnaud
17
2008
A computational scheme for option under jump diffusion processes. Zbl 1159.91402
Zhang, Kai; Wang, Song
17
2009
\(L^\infty\)-error estimates and superconvergence in maximum norm of mixed finite element methods for nonfickian flows in porous media. Zbl 1151.76594
Ewing, Richard E.; Lin, Yanping; Wang, Junping; Zhang, Shuhua
17
2005
An ensemble-based conventional turbulence model for fluid-fluid interaction. Zbl 1395.76039
Connors, Jeffrey M.
17
2018
Interval-based reduced order models for unsteady fluid flow. Zbl 1133.37342
Borggaard, Jeff; Hay, Alexander; Pelletier, Dominique
16
2007
Quintic spline solutions of fourth order boundary-value problems. Zbl 1132.65069
Siddiqi, Shahid S.; Akram, Ghazala
16
2008
Global superconvergence for optimal control problems governed by Stokes equations. Zbl 1126.49028
Liu, Huipo; Yan, Ningning
16
2006
Convergence of the time-domain perfectly matched layer method for acoustic scattering problems. Zbl 1158.76394
Chen, Zhiming
16
2009
ANOVA expansions and efficient sampling methods for parameter dependent nonlinear PDEs. Zbl 1161.65336
Cao, Yanzhao; Chen, Zheng; Gunzburger, Max
16
2009
Nonconforming mixed finite element method for the stationary conduction-convection problem. Zbl 1165.65080
Shi, Dongyang; Ren, Jincheng
16
2009
A priori and a posteriori error estimates for Boussinesq equations. Zbl 1143.76419
Allali, Karam
16
2005
A third order linearized bdfscheme for Maxwell’s equations with nonlinear conductivity using finite element method. Zbl 1383.78044
Yao, Changhui; Lin, Yanping; Wang, Cheng; Kou, Yanli
16
2017
Analysis of a Cartesian PML approximation to the three dimensional electromagnetic wave scattering problem. Zbl 1277.78030
Bramble, James H.; Pasciak, Joseph E.
16
2012
Convergence and superconvergence of a nonconforming finite element on anisotropic meshes. Zbl 1122.65098
Mao, Shipeng; Chen, Shaochun; Shi, Dongyang
15
2007
The multiscale discontinuous Galerkin method for solving a class of second order elliptic problems with rough coefficients. Zbl 1239.65073
Wang, Wei; Guzman, Johnny; Shu, Chi-Wang
15
2011
A symmetric finite volume element scheme on quadrilateral grid and superconvergence. Zbl 1100.65102
Shu, Shi; Yu, Haiyuan; Huang, Yunqing; Nie, Cunyun
15
2006
Superconvergence properties of discontinuous Galerkin methods for two-point boundary value problems. Zbl 1110.65074
Chen, Hongsen
15
2006
Polynomial preserving gradient recovery and a posteriori estimate for bilinear element on irregular quadrilaterals. Zbl 1071.65145
Zhang, Zhimin
15
2004
Locating natural superconvergent points of finite element methods in 3D. Zbl 1071.65140
Zhang, Zhimin; Lin, Runchang
15
2005
Numerical analysis and testing of a fully discrete, decoupled penalty-projection algorithm for MHD in Elsässer variable. Zbl 1345.76114
Akbas, Mine; Kaya, Songul; Mohebujjaman, Muhammad; Rebholz, Leo G.
15
2016
Sstability and dispersion analysis of the staggered discontinuous Galerkin method for wave propagation. Zbl 1268.65133
Chan, Hiu Ning; Chung, Eric T.; Cohen, Gary
15
2013
Global stability of critical traveling waves with oscillations for time-delayed reaction-diffusion equations. Zbl 1425.35101
Mei, Ming; Zhang, Kaijun; Zhang, Qifeng
15
2019
Pollution-free finite difference schemes for non-homogeneous Helmholtz equation. Zbl 1499.65614
Wang, Kun; Wong, Yau Shu
15
2014
Mean square convergence of stochastic \(\theta\)-methods for nonlinear neutral stochastic differential delay equations. Zbl 1215.65014
Gan, Siqing; Schurz, Henri; Zhang, Haomin
14
2011
Numerical approximation of two-dimensional convection-diffusion equations with multiple boundary layers. Zbl 1103.65115
Jung, Changyeol; Temam, Roger
14
2005
Analysis of stabilized finite volume method for the transient Stokes equations. Zbl 1165.65052
Shen, Lihua; Li, Jian; Chen, Zhangxin
14
2009
Control of geometry induced error in \(hp\) finite element (FE) simulation. I: Evaluation of FE error for curvilinear geometries. Zbl 1073.65122
Xue, Dong; Demkowicz, Leszek
14
2005
Equivalent a posteriori error estimates for a constrained optimal control problem governed by parabolic equations. Zbl 1266.65198
Sun, Tongjun; Ge, Liang; Liu, Wenbin
14
2013
An asymptotic preserving implicit unified gas kinetic scheme for frequency-dependent radiative transfer equations. Zbl 1410.82022
Sun, Wenjun; Jiang, Song; Xu, Kun
14
2018
Convexity splitting in a phase field model for surface diffusion. Zbl 1501.65063
Backofen, Rainer; Wise, Steven M.; Salvalaglio, Marco; Voigt, Axel
14
2019
Unified a posteriori error estimator for finite element methods for the Stokes equations. Zbl 1452.76059
Wang, Junping; Wang, Yanqiu; Ye, Xiu
14
2013
Analysis of a second-order, unconditionally stable, partitioned method for the evolutionary Stokes-Darcy model. Zbl 1499.65501
Kubacki, Michaela; Moraiti, Marina
14
2015
A weighted variational formulation based on plane wave basis for discretization of Helmholtz equations. Zbl 1499.65666
Hu, Qiya; Yuan, Long
14
2014
Discontinuous Galerkin finite element method with interior penalties for convection diffusion optimal control problem. Zbl 1499.65529
Sun, Tongjun
14
2010
Ensemble timestepping algorithms for natural convection. Zbl 1397.65157
Fiordilino, Joseph Anthony; Khankan, Sarah
14
2018
Convergence and complexity of adaptive finite element methods for elliptic partial differential equations. Zbl 1263.65103
He, Lianhua; Zhou, Aihui
14
2011
Unconditional convergence of high-order extrapolations of the Crank-Nicolson, finite element method for the Navier-Stokes equations. Zbl 1264.76060
Ingram, Ross
14
2013
Finite difference schemes for the Korteweg-de Vries-Kawahara equation. Zbl 1350.35171
Koley, Ujjwal
13
2016
Second-order two-scale analysis method for dynamic thermo-mechanical problems in periodic structure. Zbl 1332.35356
Yang, Zihao; Cui, Junzhi; Wu, Yatao; Wang, Ziqiang; Wan, Jianjun
13
2015
Improved error estimates of a finite difference/spectral method for time-fractional diffusion equations. Zbl 1329.65201
Lv, Chunwan; Xu, Chuanju
13
2015
Second order uniform approximations for the solution of time dependent singularly perturbed reaction-diffusion systems. Zbl 1214.65044
Clavero, Carmelo; Gracia, José Luis; Lisbona, Fransisco
13
2010
A posteriori error estimation for a singularly perturbed problem with two small parameters. Zbl 1197.65099
Linss, Torsten
13
2010
Analysis of an alternating direction method applied to singularly perturbed reaction-diffusion problems. Zbl 1195.65119
Linss, Torsten; Madden, Niall
13
2010
Higher degree immersed finite element methods for second-order elliptic interface problems. Zbl 1499.65639
Adjerid, Slimane; Ben-Romdhane, M.; Lin, Tao
13
2014
Superconvergence by \(L^2\)-projections for stabilized finite element methods for the Stokes equations. Zbl 1499.65672
Li, Jian; Wang, Junping; Ye, Xiu
13
2009
A posteriori error estimate for stabilized finite element methods for the Stokes equations. Zbl 1431.76093
Wang, Junping; Wang, Yanqiu; Ye, Xiu
13
2012
Convergence of numerical approximations to a phase field bending elasticity model of membrane deformations. Zbl 1130.74046
Du, Qiang; Wang, Xiaoqiang
12
2007
Invalidity of decoupling a biharmonic equation to two Poisson equations on non-convex polygons. Zbl 1136.35024
Zhang, Sheng; Zhang, Zhimin
12
2008
Optimal \({\mathcal H}_2\) model reduction for large scale MIMO systems via tangential interpolation. Zbl 1213.93089
Xu, Yuesheng; Zeng, Taishan
12
2011
Convergence and stability of the semi-implicit Euler method with variable stepsize for a linear stochastic pantograph differential equation. Zbl 1214.65003
Xiao, Yu; Song, Minghui; Liu, Mingzhu
12
2011
Optimal error estimates of the local discontinuous Galerkin method for Willmore flow of graphs on Cartesian meshes. Zbl 1215.65153
Ji, Liangyue; Xu, Yan
12
2011
A piecewise constant level set framework. Zbl 1125.49031
Lie, Johan; Lysaker, Marius; Tai, Xuecheng
12
2005
Convergence and stability of balanced implicit methods for systems of SDEs. Zbl 1078.65007
Schurz, Henri
12
2005
A two-grid finite volume element method for a nonlinear parabolic problem. Zbl 1329.65220
Chen, Chuanjun; Liu, Wei
12
2015
A time-accurate, adaptive discretization for fluid flow problems. Zbl 07244844
DeCaria, Victor; Layton, William; Zhao, Haiyun
12
2020
Linear moment models to approximate Knudsen layers. Zbl 1524.34081
Li, Ruo; Yang, Yichen
2
2023
Optimal control of a quasistatic frictional contact problem with history-dependent operators. Zbl 1524.47072
Li, Yujie; Cheng, Xiaoliang; Wang, Xilu
1
2023
Error estimates and blow-up analysis of a finite-element approximation for the parabolic-elliptic Keller-Segel system. Zbl 1485.65102
Chen, Wenbin; Liu, Qianqian; Shen, Jie
7
2022
The Scott-Vogelius method for the Stokes problem on anisotropic meshes. Zbl 1485.65118
Kean, Kiera; Neilan, Michael; Schneier, Michael
4
2022
An immersed Crouzeix-Raviart finite element method for Navier-Stokes equations with moving interfaces. Zbl 1513.65470
Wang, Jin; Zhang, Xu; Zhuang, Qiao
4
2022
Approximate solution of a nonlinear fractional-order HIV model using homotopy analysis method. Zbl 1513.92083
Naik, Parvaiz Ahmad; Ghoreishi, Mohammad; Zu, Jian
4
2022
A numerical analysis of the coupled Cahn-Hilliard/Allen-Cahn system with dynamic boundary conditions. Zbl 1513.65375
Makki, Ahmad; Miranville, Alain; Petcu, Madalina
3
2022
Low regularity primal-dual weak Galerkin finite element methods for ill-posed elliptic Cauchy problems. Zbl 1499.65684
Wang, Chunmei
3
2022
A weighted least-squares finite element method for Biot’s consolidation problem. Zbl 1485.65119
Lee, Hsueh-Chen; Lee, Hyesuk
2
2022
Convergence analysis of Nitsche extended finite element methods for \(H(\operatorname{curl})\)-elliptic interface problems. Zbl 1513.65471
Wang, Nan; Chen, Jinru
2
2022
A scalar auxiliary variable (SAV) and operator splitting compact finite difference method for peritectic phase field model. Zbl 1499.65388
Fei, Jiajie; Xie, Shusen; Chen, Chunguang
2
2022
Reduced basis finite element methods for the Korteweg-de Vries-Burgers equation. Zbl 07524476
Piao, Guang-Ri; Yao, Fuxia; Zhao, Wenju
1
2022
Clipping over dissipation in turbulence models. Zbl 1490.76106
Kean, Kiera; Layton, William; Schneier, Michael
1
2022
Comparative studies on mesh-free deep neural network approach versus finite element method for solving coupled nonlinear hyperbolic/wave equations. Zbl 1513.65394
Zhu, Xingwen; He, Mingyan; Sun, Pengtao
1
2022
A preconditioned steepest descent solver for the Cahn-Hilliard equation with variable mobility. Zbl 1513.65278
Chen, Xiaochun; Wang, Cheng; Wise, Steven M.
1
2022
Efficient generation of membrane and solvent tetrahedral meshes for ion channel finite element calculation. Zbl 1513.65342
Chao, Zhen; Gui, Sheng; Lu, Benzhuo; Xie, Dexuan
1
2022
Boundary element method with high order impedance boundary conditions in electromagnetics. Zbl 1513.65517
Daveau, Christian; Aubkirov, Abil; Soudais, Paul
1
2022
Energy stable time domain finite element methods for nonlinear models in optics and photonics. Zbl 1513.65349
Anees, Asad; Angermann, Lutz
1
2022
A mesh-less, ray-based deep neural network method for the Helmholtz equation with high frequency. Zbl 1513.65501
Yang, Andy L.; Gu, Feng
1
2022
Error estimates for semi-discrete finite element approximations for a moving boundary problem capturing the penetration of diffusants into rubber. Zbl 1499.65516
Nepal, Surendra; Wondmagegne, Yosief; Muntean, Adrian
1
2022
Recovery-based a posteriori error estimation for elliptic interface problems based on partially penalized immersed finite element methods. Zbl 1499.35730
Chen, Yanping; Deng, Zhirou; Huang, Yunqing
1
2022
A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system. Zbl 1499.65424
Qin, Yuzhe; Wang, Cheng; Zhang, Zhengru
18
2021
Stabilized invariant energy quadratization (S-IEQ) method for the molecular beam epitaxial model without slope section. Zbl 1499.65547
Zhang, Hui; Yang, Xiaofeng; Zhang, Jun
11
2021
A \(\mathcal{P}_2\)-\(\mathcal{P}_1\) partially penalized immersed finite element method for Stokes interface problem. Zbl 1486.65243
Chen, Yuan; Zhang, Xu
9
2021
A deep learning Galerkin method for the second-order linear elliptic equations. Zbl 1499.65673
Li, Jian; Zhang, Wen; Yue, Jing
5
2021
Approximations by MINI mixed finite element for the Stokes-Darcy coupled problem on curved domains. Zbl 1471.74067
Armentano, María Gabriela; Stockdale, María Lorena
5
2021
A modified primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form. Zbl 1499.65683
Wang, Chunmei
4
2021
Global well-posedness for Navier-Stokes-Darcy equations with the free interface. Zbl 1499.35485
Zhao, Bin; Zhang, Mingyue; Liang, Chuangchuang
4
2021
Locally conservative serendipity finite element solutions for elliptic equations. Zbl 1486.65271
Zhou, Yanhui; Zou, Qingsong
4
2021
Error estimates for the Laplace interpolation on convex polygons. Zbl 1499.65694
Zhang, Weiwei; Hu, Long; Yang, Zongze; Nie, Yufeng
3
2021
The arbitrary Lagrangian-Eulerian finite element method for a transient Stokes/parabolic interface problem. Zbl 1499.65500
Kesler, Ian; Lan, Rihui; Sun, Pengtao
3
2021
A compact finite difference scheme for the fourth-order time multi-term fractional sub-diffusion equations with the first Dirichlet boundary conditions. Zbl 1471.65100
Gao, Guang-Hua; Tang, Rui; Yang, Qian
3
2021
Analysis of Rothe method for a variational-hemivariational inequality in adhesive contact problem for locking materials. Zbl 1499.74073
Cheng, Xiaoliang; Xuan, Hailing; Xiao, Qichang
2
2021
Stability of high order finite difference schemes with implicit-explicit time-marching for convection-diffusion and convection-dispersion equations. Zbl 1499.65435
Tan, Meiqi; Cheng, Juan; Shu, Chi-Wang
2
2021
A stochastic gradient descent method for the design of optimal random interface in thin-film solar cells. Zbl 1499.65685
Wang, Dan; Cao, Yanzhao; Li, Qiang; Shen, Jihong
2
2021
Superconvergence and flux recovery for an enriched finite element method. Zbl 1499.65625
Attanayake, Champike; Chou, So-Hsiang
2
2021
Fast Gauss-related quadrature for highly oscillatory integrals with logarithm and Cauchy-logarithmic type singularities. Zbl 1499.65077
Kayijuka, Idrissa; Ege, Serife Muge; Topal, Fatma Serap; Konuralp, Ali
1
2021
An effective algorithm for computing fractional derivatives and application to fractional differential equations. Zbl 1499.65073
Zhang, Minling; Liu, Fawang; Anh, Vo
1
2021
Convergence analysis of Yee-FDTD schemes for 3D Maxwell’s equations in linear dispersive media. Zbl 1499.65428
Sakkaplangkul, Puttha; Bokil, Vrushali A.
1
2021
Numerical simulations for shallow water flows over erodible beds by central DG methods. Zbl 1471.65155
Xian, Weizhi; Chen, Aimin; Cheng, Yongping; Dong, Haiyun
1
2021
Well-posedness and the multiscale algorithm for heterogeneous scattering of Maxwell’s equations in dispersive media. Zbl 1474.65452
Zhang, Yongwei; Cao, Liqun; Shi, Dongyang
1
2021
An efficient nonlinear solver for steady MHD based on algebraic splitting. Zbl 1513.65472
Xiao, Mengying
1
2021
Modified Tikhonov regularization for identifying several sources. Zbl 1499.35714
Elvetun, Ole Iøseth; Nielsen, Bjørn Fredrik
1
2021
Collocation methods for a class of integro-differential algebraic equations. Zbl 1499.65778
Zhang, Haiyan; Liang, Hui
1
2021
Stability analysis and error estimates of local discontinuous Galerkin method for convection-diffusion equations on overlapping mesh with non-periodic boundary conditions. Zbl 1499.65489
Chuenjarern, Nattaporn; Wuttanachamsri, Kanognudge; Yang, Yang
1
2021
A fully discrete, decoupled scheme with different time steps for approximating nematic liquid crystal flow. Zbl 1499.65504
Li, Ting; Huang, Pengzhan; He, Yinnian
1
2021
An integral equation model for PET imaging. Zbl 1499.65772
Tang, Xinhuang; Schmidtlein, Charles Ross; Li, Si; Xu, Yuesheng
1
2021
Multi-scale non-standard fourth-order PDE in image denoising and its fixed point algorithm. Zbl 1471.65126
Theljani, Anis
1
2021
Even-odd cycled high-order splitting finite difference time domain method for Maxwell’s equations. Zbl 1471.65174
Sarai, Maninder; Liang, Dong
1
2021
A conforming discontinuous Galerkin finite element method. II. Zbl 1465.65151
Ye, Xiu; Zhang, Shangyou
20
2020
A conforming discontinuous Galerkin finite element method. Zbl 1465.65150
Ye, Xiu; Zhang, Shangyou
18
2020
A time-accurate, adaptive discretization for fluid flow problems. Zbl 07244844
DeCaria, Victor; Layton, William; Zhao, Haiyun
12
2020
Theoretical and numerical studies on global stability of traveling waves with oscillations for time-delayed nonlocal dispersion equations. Zbl 1462.35129
Xu, Tianyuan; Ji, Shanming; Rui, Huang; Mei, Ming; Yin, Jingxue
9
2020
Analysis of artificial dissipation of explicit and implicit time-integration methods. Zbl 1471.65120
Öffner, Philipp; Glaubitz, Jan; Ranocha, Hendrik
8
2020
A POD-based fast algorithm for the nonlocal unsteady problems. Zbl 1482.65190
Zhang, Shangyuan; Nie, Yufeng
7
2020
Numerical investigation on weak Galerkin finite elements. Zbl 1488.65656
Wang, Junping; Ye, Xiu; Zhang, Shangyou
6
2020
A conforming discontinuous Galerkin finite element method. III. Zbl 1484.65308
Ye, Xiu; Zhang, Shangyou
5
2020
Modifying the split-step \(\theta \)-method with harmonic-mean term for stochastic differential equations. Zbl 1471.65013
Nouri, Kazem; Ranjbar, Hassan; Cortés López, Juan Carlos
5
2020
Efficient Galerkin-mixed FEMs for incompressible miscible flow in porous media. Zbl 1510.65253
Sun, Weiwei; Wu, Chengda
4
2020
A finite difference method for stochastic nonlinear second-order boundary-value problems driven by additive noisese. Zbl 1471.65011
Baccouch, Mahboub
4
2020
A numerical approach to study the thermal influence on gas hydrates by physical process splitting. Zbl 1471.76051
Poveshchenko, Yury; Rahimly, Parvin; Rahimly, Orkhan; Podryga, Viktoriia; Gasilova, Irina
4
2020
Fitted front tracking methods for two-phase ncompressible Navier-Stokes flow: Eulerian and ALE finite element discretizations. Zbl 1471.76084
Agnese, Marco; Nürnberg, Robert
4
2020
The property of the branch of nonsingular finite element/finite volume solutions to the stationary Navier-Stokes equations and its application. Zbl 1465.65141
Li, Jian; He, Yinnian
3
2020
Analysis of a second-order decoupled time-stepping scheme for transient viscoelastic flow. Zbl 07244678
Ravindran, S. S.
3
2020
3D \(B_2\) model for radiative transfer equation. Zbl 07244680
Li, Ruo; Li, Weiming
3
2020
Conforming harmonic finite elements on the Hsieh-Clough-Tocher split of a triangle. Zbl 1465.65146
Sorokina, Tatyana; Zhang, Shangyou
3
2020
A finite difference scheme for Caputo-Fabrizio fractional differential equations. Zbl 07244841
Guo, Xu; Li, Yutian; Zeng, Tieyong
3
2020
Numerical analysis of a history-dependent variational-hemivariational inequality for a viscoplastic contact problem. Zbl 1481.65179
Cheng, Xiaoliang; Wang, Xilu
3
2020
A class of bubble enriched quadratic finite volume element schemes on triangular meshes. Zbl 1483.65172
Zhou, Yanhui
3
2020
CS-MRI reconstruction based on the constrained TGV-shearlet scheme. Zbl 1471.92193
Wu, Tingting; Pang, Zhi-Feng; Wang, Youguo; Yang, Yu-Fei
3
2020
Long time stability of a linearly extrapolated blended BDF scheme for multiphysics flows. Zbl 07244676
Çibik, Aytekin; Eroglu, Fatma G.; Kaya, Songul
2
2020
Weak Galerkin method for the Helmholtz equation with DtN boundary condition. Zbl 1471.65197
Hu, Qingjie; He, Yinnian; Wang, Kun
2
2020
Interior-exterior penalty approach for solving elasto-hydrodynamic lubrication problem. I. Zbl 1477.58010
Singh, Peeyush; Sinha, Prawal
1
2020
Convergence analysis of finite element approximation for 3-D magneto-heating coupling model. Zbl 1465.65104
Wang, Lixiu; Yao, Changhui; Zhang, Zhimin
1
2020
On the linear thermoelasticity with two porosities: numerical aspects. Zbl 07244838
Bazarra, Noelia; Fernández, José R.; Leseduarte, Mari Carme; Magaña, Antonio; Quintanilla, Ramón
1
2020
An error estimate of a Eulerian-Lagrangian localized adjoint method for a space-fractional advection diffusion equation. Zbl 07244840
Wang, Tingting; Li, Xiaofan; Wang, Hong
1
2020
Provably size-guaranteed mesh generation with superconvergence. Zbl 07244843
Li, Xiangrong; Qi, Nan; Zhang, Weiwei; Nie, Yufeng
1
2020
An explicit formula for corner singularity expansion of the solutions to the Stokes equations in a polygon. Zbl 1483.35088
Li, Buyang
1
2020
Unique solvability and decomposition method for one nonlinear multi-dimensional integro-differential parabolic equation. Zbl 1484.45009
Jangveladze, Temur; Kiguradze, Zurab
1
2020
Analysis of a Galerkin finite element method applied to a singularly perturbed reaction-diffusion problem in three dimensions. Zbl 1471.65204
Russel, Stephen; Madden, Niall
1
2020
Locally conservative finite element solutions for parabolic equations. Zbl 1504.65202
Gong, Wenbo; Zou, Qingsong
1
2020
The weak Galerkin finite element method for solving the time-dependent Stokes flow. Zbl 1471.65205
Wang, Xiuli; Liu, Yuanyuan; Zhai, Qilong
1
2020
Improved error estimation for the partially penalized immersed finite element methods for elliptic interface problems. Zbl 1427.65361
Guo, Ruchi; Lin, Tao; Zhuang, Qiao
33
2019
Global stability of critical traveling waves with oscillations for time-delayed reaction-diffusion equations. Zbl 1425.35101
Mei, Ming; Zhang, Kaijun; Zhang, Qifeng
15
2019
Convexity splitting in a phase field model for surface diffusion. Zbl 1501.65063
Backofen, Rainer; Wise, Steven M.; Salvalaglio, Marco; Voigt, Axel
14
2019
A partitioned method with different time steps for coupled Stokes and Darcy flows with transport. Zbl 1427.65215
Zhang, Jingyuan; Rui, Hongxing; Cao, Yanzhao
10
2019
A second-order Crank-Nicolson method for time-fractional PDEs. Zbl 1406.65060
Gunzburger, Max; Wang, Jilu
9
2019
Wong-Zakai approximations of stochastic Allen-Cahn equation. Zbl 1431.60067
Liu, Zhihui; Qiao, Zhonghua
9
2019
Optimal error estimates of the local discontinuous Galerkin method for the two-dimensional sine-Gordon equation on Cartesian grids. Zbl 1427.65214
Baccouch, Mahboub
8
2019
An iterative approach for constructing immersed finite element spaces and applications to interface problems. Zbl 1408.65090
Wang, Cheng; Sun, Pengtao; Li, Zhilin
8
2019
Discontinuous Galerkin methods for the biharmonic problem on polygonal and polyhedral meshes. Zbl 1434.65249
Dong, Zhaonan
8
2019
Analysis of a special immersed finite volume method for elliptic interface problems. Zbl 1431.65200
Liu, Kai; Zou, Qingsong
8
2019
An efficient multigrid method for ground state solution of Bose-Einstein condensates. Zbl 1434.65287
Zhang, Ning; Xu, Fei; Xie, Hehu
7
2019
Strong convergence and stability of the semi-tamed and tamed Euler schemes for stochastic differential equations with jumps under non-global Lipschitz condition. Zbl 1476.65012
Tambue, Antoine; Mukam, Jean Daniel
6
2019
Distributed Lagrange multiplier-fictitious domain finite element method for Stokes interface problems. Zbl 1434.65269
Lundberg, Andrew; Sun, Pengtao; Wang, Cheng
6
2019
Analysis of pollution-free approaches for multi-dimensional Helmholtz equations. Zbl 1427.65332
Wang, Kun; Wong, Yau Shu; Huang, Jizu
5
2019
Dynamic load balancing for the parallel, adaptive, multigrid solution of implicit phase-field simulations. Zbl 1408.65052
Chen, Meng-Huo; Bollada, Peter C.; Jimack, Peter K.
5
2019
An optimal EDG method for distributed control of convection diffusion PDEs. Zbl 1427.65387
Zhang, Xiao; Zhang, Yangwen; Singler, John R.
4
2019
A numerical method for solving the variable coefficient wave equation with interface jump conditions. Zbl 1412.65226
Wang, Liqun; Hou, Songming; Shi, Liwei; Zhang, Ping
4
2019
Reliable and efficient a posteriori error estimates of DG methods for a simplified frictional contact problem. Zbl 1412.65193
Wang, Fei; Han, Weimin
4
2019
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Cited by 4,619 Authors

59 Shi, Dongyang
46 Chen, Yanping
41 Ye, Xiu
38 He, Xiaoming
36 Huang, Yunqing
36 Zhang, Shangyou
32 He, Yinnian
28 Li, Jian
27 Lin, Tao
26 Zhang, Zhimin
25 Baccouch, Mahboub
25 Nie, Yufeng
24 Lin, Yanping
23 Sun, Weiwei
22 Wang, Junping
21 Gatica, Gabriel N.
21 Mu, Lin
21 Pani, Amiya Kumar
21 Zhang, Xu
20 Chung, Tsz Shun Eric
20 Huang, Pengzhan
20 Jung, Changyeol
20 Wang, Hong
20 Yang, Xiaofeng
19 Cui, Junzhi
18 Feng, Xinlong
18 Huang, Qiumei
18 Li, Jichun
18 Li, Meng
18 Wang, Cheng
18 Xu, Fei
17 Wang, Qi
17 Wang, Xiaoshen
17 Zhao, Jia
16 An, Rong
16 Chen, Zhangxin
16 Ruiz-Baier, Ricardo
16 Shu, Chi-Wang
16 Wang, Chunmei
16 Wang, Kun
16 Zhang, Tong
15 Lu, Zuliang
15 Zhu, Shengfeng
14 Dehghan Takht Fooladi, Mehdi
14 Gunzburger, Max D.
14 Guo, Ruchi
14 Jiang, Yaolin
14 Li, Buyang
14 Li, Hong
14 Liu, Yang
14 Temam, Roger Meyer
14 Wu, Tingting
14 Yang, Huaijun
14 Zhu, Qiding
13 Chen, Chuanjun
13 Deka, Bhupen
13 Dolejší, Vít
13 Guan, Hongbo
13 Jiang, Nan
13 Liu, Jinghong
13 Mao, Shipeng
13 Tai, Xuecheng
13 Wang, Ruishu
12 Chen, Long
12 Gracia, José Luis
12 Hou, Songming
12 Ju, Lili
12 Mao, Xuerong
12 Natesan, Srinivasan
12 O’Riordan, Eugene
12 Roul, Pradip
12 Si, Zhiyong
12 Sun, Shuyu
12 Wang, Liqun
12 Zhai, Qilong
12 Zhu, Peng
11 Chen, Wenbin
11 Guillén González, Francisco M.
11 Hoang, Manh Tuan
11 Hou, Yanren
11 Houston, Paul
11 Hu, Qiya
11 Ji, Haifeng
11 Kim, Junseok
11 Kumar, Naresh
11 Layton, William J.
11 Liu, Jiangguo
11 Ma, Qiang
11 Migórski, Stanisław
11 Oyarzúa, Ricardo
11 Qiao, Zhonghua
11 Rui, Hongxing
11 Wang, Cheng
11 Yang, Huanhuan
11 Yuan, Long
10 Adjerid, Slimane
10 Cao, Yong
10 Du, Qiang
10 Gong, Yuezheng
10 Han, Weimin
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Cited in 334 Journals

293 Journal of Computational and Applied Mathematics
246 Journal of Scientific Computing
221 Computers & Mathematics with Applications
212 Journal of Computational Physics
168 Applied Mathematics and Computation
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118 Numerical Methods for Partial Differential Equations
104 Computer Methods in Applied Mechanics and Engineering
68 SIAM Journal on Numerical Analysis
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65 Numerical Algorithms
61 Advances in Applied Mathematics and Mechanics
59 SIAM Journal on Scientific Computing
58 Numerische Mathematik
55 Advances in Computational Mathematics
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46 International Journal of Computer Mathematics
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40 Mathematics of Computation
37 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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35 Calcolo
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33 Mathematics and Computers in Simulation
31 Mathematical Methods in the Applied Sciences
31 Applied Mathematics Letters
30 Computers and Fluids
30 BIT
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28 Applied Mathematical Modelling
24 Communications in Nonlinear Science and Numerical Simulation
22 Computational Methods in Applied Mathematics
21 Mathematical Problems in Engineering
20 Abstract and Applied Analysis
20 Science China. Mathematics
19 Communications on Applied Mathematics and Computation
18 Journal of Applied Mathematics and Computing
17 Applicable Analysis
17 Journal of Computational Mathematics
17 Advances in Difference Equations
16 International Journal for Numerical Methods in Engineering
16 East Asian Journal on Applied Mathematics
15 Applications of Mathematics
15 Results in Applied Mathematics
14 International Journal of Computational Methods
14 Electronic Research Archive
13 Boundary Value Problems
13 Discrete and Continuous Dynamical Systems. Series S
12 Journal of Differential Equations
12 Journal of Applied Mathematics
12 Multiscale Modeling & Simulation
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Computer Physics Communications
10 Inverse Problems
10 Engineering Analysis with Boundary Elements
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10 SIAM Journal on Imaging Sciences
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9 Numerical Mathematics: Theory, Methods and Applications
8 Applied Mathematics and Optimization
8 Acta Mathematicae Applicatae Sinica. English Series
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7 Chaos, Solitons and Fractals
7 Physica D
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
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6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Journal of Optimization Theory and Applications
6 Numerical Functional Analysis and Optimization
6 SIAM Journal on Control and Optimization
6 Computational Mechanics
6 Mathematical and Computer Modelling
6 Science in China. Series A
6 Japan Journal of Industrial and Applied Mathematics
6 Filomat
6 Differential Equations
6 Mediterranean Journal of Mathematics
5 International Journal of Control
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5 Physica A
5 Automatica
5 Applied Mathematics and Mechanics. (English Edition)
5 Acta Applicandae Mathematicae
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