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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: Indexed cover-to-cover; In 2015 the journal incorporated: Int. J. Numer. Anal. Model., Ser. B (ISSN 1923-2942; 1923-2950/e)
Documents Indexed: 780 Publications (since 2004)
References Indexed: 192 Publications with 5,142 References.
all top 5

Authors

12 Ye, Xiu
12 Zhang, Zhimin
11 Chen, Zhangxin
11 He, Yinnian
11 Pani, Amiya Kumar
9 Lin, Yanping
9 Wang, Junping
8 Liu, Steve Wenbin
8 Tai, Xuecheng
8 Temam, Roger Meyer
7 Baccouch, Mahboub
7 Cao, Yanzhao
7 Houston, Paul
7 Lin, Tao
7 Schurz, Henri
7 Shu, Chi-Wang
7 Wang, Hong
7 Zhang, Shangyou
7 Zou, Qingsong
6 Gracia, José Luis
6 Li, Zhilin
6 Liang, Dong
6 Wang, Cheng
6 Xie, Hehu
6 Xu, Yuesheng
6 Yan, Ningning
5 Cao, Liqun
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 Peszyńska, Małgorzata
5 Shi, Dongyang
5 Wong, Yau Shu
4 Chen, Chuanmiao
4 Chen, Ke
4 Clavero, Carmelo
4 Fernández, Jose Ramon
4 Gaspar, Francisco José
4 Ge, Liang
4 Huang, Qiumei
4 Li, Jian
4 Neda, Monika
4 Nie, Yufeng
4 O’Riordan, Eugene
4 Qiao, Zhonghua
4 Rebholz, Leo G.
4 Sheen, Dongwoo
4 Shi, Zhongci
4 Sun, Tongjun
4 Sun, Weiwei
4 Tveito, Aslak
4 Wang, Kaixin
4 Wang, Kun
4 Yang, Hongtao
4 Yang, Xiaozhong
3 Allegretto, Walter
3 Boglaev, Igor P.
3 Bokil, Vrushali A.
3 Chen, Hongsen
3 Chou, So-Hsiang
3 Chrysafinos, Konstantinos
3 Chung, Tsz Shun Eric
3 Cui, Ming
3 Deng, Jian
3 Deng, Xiaomao
3 Du, Qiang
3 Feng, Xinlong
3 Glowinski, Roland
3 Gong, Wei
3 Hanslien, Monica
3 Iliescu, Traian
3 Kaya, Songul
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 Nicaise, Serge
3 Nielsen, Bjørn Fredrik
3 Qin, Guan
3 Risebro, Nils Henrik
3 Rodrigo, Carmen
3 Schneier, Michael
3 Shen, Wanfang
3 Showalter, Ralph E.
3 Shu, Shi
3 Sun, Pengtao
3 Tone, Florentina
3 Tong, Weiqin
3 Vabishchevich, Pëtr Nikolaevich
...and 1,197 more Authors
all top 5

Fields

646 Numerical analysis (65-XX)
354 Partial differential equations (35-XX)
174 Fluid mechanics (76-XX)
96 Calculus of variations and optimal control; optimization (49-XX)
57 Probability theory and stochastic processes (60-XX)
52 Mechanics of deformable solids (74-XX)
45 Ordinary differential equations (34-XX)
37 Biology and other natural sciences (92-XX)
28 Optics, electromagnetic theory (78-XX)
19 Geophysics (86-XX)
18 Dynamical systems and ergodic theory (37-XX)
18 Computer science (68-XX)
18 Systems theory; control (93-XX)
17 Statistical mechanics, structure of matter (82-XX)
17 Operations research, mathematical programming (90-XX)
16 Information and communication theory, circuits (94-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 Approximations and expansions (41-XX)
8 Integral equations (45-XX)
7 Operator theory (47-XX)
7 Statistics (62-XX)
7 Classical thermodynamics, heat transfer (80-XX)
5 General and overarching topics; collections (00-XX)
5 Real functions (26-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Combinatorics (05-XX)
4 Integral transforms, operational calculus (44-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Special functions (33-XX)
3 Mechanics of particles and systems (70-XX)
3 Quantum theory (81-XX)
2 History and biography (01-XX)
2 Measure and integration (28-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Functional analysis (46-XX)
2 Differential geometry (53-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-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

504 Publications have been cited 3,017 times in 2,548 Documents Cited by Year
Weak Galerkin finite element methods on polytopal meshes. Zbl 1332.65172
Mu, Lin; Wang, Junping; Ye, Xiu
94
2015
Immersed finite element methods for elliptic interface problems with non-homogeneous jump conditions. Zbl 1211.65155
He, Xiaoming; Lin, Tao; Lin, Yanping
85
2011
Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations. Zbl 1281.65122
Li, Buyang; Sun, Weiwei
73
2013
Convergence and stability of implicit methods for jump-diffusion systems. Zbl 1109.65007
Higham, Desmond J.; Kloeden, Peter E.
58
2006
Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. I: Method formulation. Zbl 1129.76030
Hartmann, Ralf; Houston, Paul
45
2006
Error estimates and superconvergence of mixed finite element for quadratic optimal control. Zbl 1125.49026
Chen, Yanping; Liu, Wenbin
38
2006
Shishkin meshes in the numerical solution of singularly perturbed differential equations. Zbl 1197.65094
Kopteva, Natalia; O’Riordan, Eugene
29
2010
Numerical analysis for a nonlocal Allen-Cahn equation. Zbl 1165.65051
Bates, Peter W.; Brown, Sarah; Han, Jianlong
28
2009
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
28
2018
Low order Crouzeix-Raviart type nonconforming finite element methods for approximating Maxwell’s equations. Zbl 1160.78315
Shi, Dongyang; Pei, Lifang
25
2008
Convergence of Rothe scheme for hemivariational inequalities of parabolic type. Zbl 1269.65066
Kalita, Piotr
23
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
23
2006
An optimal 9-point finite difference scheme for the Helmholtz equation with PML. Zbl 1272.65081
Chen, Zhongying; Cheng, Dongsheng; Feng, Wei; Wu, Tingting
22
2013
Numerical analysis of a finite element Crank-Nicolson discretization for MHD flows at small magnetic Reynolds numbers. Zbl 1266.76066
Yuksel, Gamze; Ingram, Ross
21
2013
Numerical methods for the extended Fisher-Kolmogorov (EFK) equation. Zbl 1111.65085
Danumjaya, Palla; Pani, Amiya Kumar
21
2006
A survey on multiple level set methods with applications for identifying piecewise constant functions. Zbl 1076.49020
Tai, Xue-Cheng; Chan, Tony F.
21
2004
Improved error estimation for the partially penalized immersed finite element methods for elliptic interface problems. Zbl 1427.65361
Guo, Ruchi; Lin, Tao; Zhuang, Qiao
20
2019
Superconvergence of tetrahedral linear finite element. Zbl 1100.65084
Chen, Long
20
2006
The local discontinuous Galerkin method for optimal control problem governed by convection diffusion equations. Zbl 1195.65086
Zhou, Zhaojie; Yan, Ningning
19
2010
A fast second-order finite difference method for space-fractional diffusion equations. Zbl 1279.65095
Basu, Treena S.; Wang, Hong
19
2012
Finite volume element method for second order hyperbolic equations. Zbl 1134.65069
Kumar, Sarvesh; Nataraj, Neela; Pani, Amiya K.
19
2008
An \(H^1\)-Galerkin mixed method for second order hyperbolic equations. Zbl 1082.65100
Pani, Amiya K.; Sinha, Rajen K.; Otta, Ajaya K.
19
2004
A new energy-conserved S-FDTD scheme for Maxwell’s equations in metamaterials. Zbl 1277.78033
Li, Wanshan; Liang, Dong; Lin, Yanping
18
2013
Numerical analysis of a higher order time relaxation model of fluids. Zbl 1242.76061
Ervin, Vincent J.; Layton, William J.; Neda, Monika
18
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 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.
17
2011
High degree immersed finite element spaces by a least squares method. Zbl 1429.65291
Adjerid, Slimane; Guo, Ruchi; Lin, Tao
16
2017
Interior layers in a reaction-diffusion equation with a discontinuous diffusion coefficient. Zbl 1202.65096
de Falco, Carlo; O’Riordan, Eugene
16
2010
A slope limiting procedure in discontinuous Galerkin finite element method for gasdynamics applications. Zbl 1151.76530
Tu, Shuangzhang; Aliabadi, Shahrouz
16
2005
A computational scheme for option under jump diffusion processes. Zbl 1159.91402
Zhang, Kai; Wang, Song
15
2009
ANOVA expansions and efficient sampling methods for parameter dependent nonlinear PDEs. Zbl 1161.65336
Cao, Yanzhao; Chen, Zheng; Gunzburger, Max
15
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
15
2005
Polynomial preserving gradient recovery and a posteriori estimate for bilinear element on irregular quadrilaterals. Zbl 1071.65145
Zhang, Zhimin
15
2004
A hybridized weak Galerkin finite element method for the biharmonic equation. Zbl 1337.65160
Wang, Chunmei; Wang, Junping
14
2015
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.
14
2013
Well flow models for various numerical methods. Zbl 1158.76393
Chen, Zhangxin; Zhang, Youqian
14
2009
Analysis of a Cartesian PML approximation to the three dimensional electromagnetic wave scattering problem. Zbl 1277.78030
Bramble, James H.; Pasciak, Joseph E.
14
2012
An efficient collocation method for a non-local diffusion model. Zbl 1280.65134
Tian, Hao; Wang, Hong; Wang, Wenqia
14
2013
Quintic spline solutions of fourth order boundary-value problems. Zbl 1132.65069
Siddiqi, Shahid S.; Akram, Ghazala
14
2008
A finite element method for elasticity interface problems with locally modified triangulations. Zbl 1208.74170
Xie, Hui; Li, Zhilin; Qiao, Zhonghua
14
2011
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
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.
14
2011
Numerical approximation of two-dimensional convection-diffusion equations with multiple boundary layers. Zbl 1103.65115
Jung, Changyeol; Temam, Roger
14
2005
Stability of the kinematically coupled \(\beta\)-scheme for fluid-structure interaction problems in hemodynamics. Zbl 1332.35281
Čanič, Sunčica.; Muha, Boris; Bukac, Martina
13
2015
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
13
2017
Sstability and dispersion analysis of the staggered discontinuous Galerkin method for wave propagation. Zbl 1268.65133
Chan, Hiu Ning; Chung, Eric T.; Cohen, Gary
13
2013
Convergence of the time-domain perfectly matched layer method for acoustic scattering problems. Zbl 1158.76394
Chen, Zhiming
13
2009
Nonconforming mixed finite element method for the stationary conduction-convection problem. Zbl 1165.65080
Shi, Dongyang; Ren, Jincheng
13
2009
Unified a posteriori error estimator for finite element methods for the Stokes equations. Zbl 1452.76059
Wang, Junping; Wang, Yanqiu; Ye, Xiu
13
2013
Interval-based reduced order models for unsteady fluid flow. Zbl 1133.37342
Borggaard, Jeff; Hay, Alexander; Pelletier, Dominique
13
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
13
2011
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
13
2005
Convergence and superconvergence of a nonconforming finite element on anisotropic meshes. Zbl 1122.65098
Mao, Shipeng; Chen, Shaochun; Shi, Dongyang
13
2007
Stability-preserving finite difference methods for general multi-dimensional autonomous dynamical systems. Zbl 1113.37065
Dimitrov, Dobromir T.; Kojouharov, Hristo V.
13
2007
Global superconvergence for optimal control problems governed by Stokes equations. Zbl 1126.49028
Liu, Huipo; Yan, Ningning
13
2006
Improved error estimates of a finite difference/spectral method for time-fractional diffusion equations. Zbl 1329.65201
Lv, Chunwan; Xu, Chuanju
12
2015
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.
12
2016
Convergence and complexity of adaptive finite element methods for elliptic partial differential equations. Zbl 1263.65103
He, Lianhua; Zhou, Aihui
12
2011
A posteriori error estimate for stabilized finite element methods for the Stokes equations. Zbl 1431.76093
Wang, Junping; Wang, Yanqiu; Ye, Xiu
12
2012
Unconditional convergence of high-order extrapolations of the Crank-Nicolson, finite element method for the Navier-Stokes equations. Zbl 1264.76060
Ingram, Ross
12
2013
Equivalent a posteriori error estimates for a constrained optimal control problem governed by parabolic equations. Zbl 1266.65198
Sun, Tongjun; Ge, Liang; Liu, Wenbin
12
2013
Convergence of numerical approximations to a phase field bending elasticity model of membrane deformations. Zbl 1130.74046
Du, Qiang; Wang, Xiaoqiang
12
2007
Locating natural superconvergent points of finite element methods in 3D. Zbl 1071.65140
Zhang, Zhimin; Lin, Runchang
12
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
11
2017
Asymptotically exact local discontinuous Galerkin error estimates for the linearized Korteweg-de Vries equation in one space dimension. Zbl 1329.65218
Baccouch, Mahboub
11
2015
Global convergence of a posteriori error estimates for the discontinuous Galerkin method for one-dimensional linear hyperbolic problems. Zbl 1310.65118
Baccouch, M.
11
2014
Simulating the axisymmetric interfacial flows with insoluble surfactant immersed boundary method. Zbl 1208.76099
Lai, Ming-Chih; Huang, Chung-Yin; Huang, Yi-Min
11
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
11
2011
A priori and a posteriori error estimates for Boussinesq equations. Zbl 1143.76419
Allali, Karam
11
2005
Modeling, analysis and discretization of stochastic logistic equations. Zbl 1128.65008
Schurz, Henri
11
2007
Superconvergence properties of discontinuous Galerkin methods for two-point boundary value problems. Zbl 1110.65074
Chen, Hongsen
11
2006
A piecewise constant level set framework. Zbl 1125.49031
Lie, Johan; Lysaker, Marius; Tai, Xuecheng
11
2005
A new finite element for interface problems having Robin type jump. Zbl 1429.65277
Kwak, Do Y.; Lee, Seungwoo; Hyon, Yunkyong
10
2017
Weak Galerkin finite element method for second order parabolic equations. Zbl 1362.65110
Zhang, Hongqin; Zou, Yongkui; Xu, Yingxiang; Zhai, Qilong; Yue, Hua
10
2016
Adaptive mesh refinement for elliptic interface problems using the non-conforming immersed finite element method. Zbl 1263.65125
Wu, Chin-Tien; Li, Zhilin; Lai, Ming-Chih
10
2011
Anisotropic \(hp\)-adaptive discontinuous Galerkin finite element methods for compressible fluid flows. Zbl 1263.76042
Giani, Stefano; Houston, Paul
10
2012
Discontinuous Galerkin method for monotone nonlinear elliptic problems. Zbl 1268.65149
Bi, Chunjia; Lin, Yanping
10
2012
On fully discrete finite element schemes for equations of motion of Kelvin-Voigt fluids. Zbl 1264.76056
Bajpai, S.; Nataraj, N.; Pani, A.
10
2013
The immersed finite element method for parabolic problems using the Laplace transformation in time discretization. Zbl 1267.65135
Lin, Tao; Sheen, Dongwoo
10
2013
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
10
2010
Finite volume approximation of two-dimensional stiff problems. Zbl 1194.65127
Jung, Chang-Yeol; Temam, Roger
10
2010
A posteriori error estimation for a singularly perturbed problem with two small parameters. Zbl 1197.65099
Linss, Torsten
10
2010
Parallel preconditioners for plane wave Helmholtz and Maxwell systems with large wave numbers. Zbl 1360.65285
Yuan, Long; Hu, Qiya; An, Hengbin
10
2016
\(L^{\infty}\)-error estimates for general optimal control problem by mixed finite element methods. Zbl 1160.35551
Xing, Xiaoqing; Chen, Yanping
10
2008
A note on the construction of function spaces for distributed miscrostructure models with spatially varying cell geometry. Zbl 1172.46016
Meier, Sebastian; Böhm, Michael
10
2008
Analysis of stabilized finite volume method for the transient Stokes equations. Zbl 1165.65052
Shen, Lihua; Li, Jian; Chen, Zhangxin
10
2009
A uniformly optimal-order error estimate of an ELLAM scheme for unsteady-state advection-diffusion equations. Zbl 1180.35585
Wang, Kaixin
10
2008
Mixed FEM of higher order for contact problems with fiction. Zbl 1330.74180
Schroder, Andreas; Blum, Heribert; Rademacher, Andreas; Kleemann, Heiko
10
2011
Global stability of critical traveling waves with oscillations for time-delayed reaction-diffusion equations. Zbl 1425.35101
Mei, Ming; Zhang, Kaijun; Zhang, Qifeng
10
2019
Superconvergence studies of quadrilateral nonconforming rotated \(Q_1\) elements. Zbl 1096.65109
Ming, Pingbing; Shi, Zhong-Ci; Xu, Yun
10
2006
A higher-order ensemble/proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1402.35207
Gunzburger, Max; Jiang, Nan; Schneier, Michael
10
2018
Uniform \(L^p\)-bound of the Allen-Cahn equation and its numerical discretization. Zbl 1408.65076
Yang, Jiang; Du, Qiang; Zhang, Wei
10
2018
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
9
2015
A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for \(hp\)-version discontinuous Galerkin methods. Zbl 1350.65134
Antonietti, Paola F.; Houston, Paul; Smears, Iain
9
2016
Jump without tears: a new splitting technology for barrier options. Zbl 1267.91072
Itkin, Andrey; Carr, Peter
9
2011
Analysis of an alternating direction method applied to singularly perturbed reaction-diffusion problems. Zbl 1195.65119
Linss, Torsten; Madden, Niall
9
2010
The two-level local projection stablization as an enriched one-level approach, a one-dimensional study. Zbl 1198.65128
Tobiska, Lutz; Winkel, Christian
9
2010
An anisotropic nonconforming element for fourth order elliptic singularly perturbed problem. Zbl 1202.65153
Chen, Shaochun; Liu, Mingfang; Qiao, Zhonghua
9
2010
On compact high order finite difference schemes for linear Schrödinger problem on non-uniform meshes. Zbl 1310.65094
Radziunas, Mindaugas; Čiegis, Raimondas; Mirinavičius, Aleksas
9
2014
Discontinuous Galerkin approximations for distributed optimal control problems constrained by parabolic PDE’s. Zbl 1149.65046
Chrysafinos, Konstantinos
9
2007
A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system. Zbl 07455342
Qin, Yuzhe; Wang, Cheng; Zhang, Zhengru
4
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
3
2021
A \(P_2\)-\(P_1\) partially penalized immersed finite element method for Stokes interface problem. Zbl 07377056
Chen, Yuan; Zhang, Xu
1
2021
Error estimates for the Laplace interpolation on convex polygons. Zbl 07455338
Zhang, Weiwei; Hu, Long; Yang, Zongze; Nie, Yufeng
1
2021
The arbitrary Lagrangian-Eulerian finite element method for a transient Stokes/parabolic interface problem. Zbl 07455339
Kesler, Ian; Lan, Rihui; Sun, Pengtao
1
2021
A stochastic gradient descent method for the design of optimal random interface in thin-film solar cells. Zbl 07455341
Wang, Dan; Cao, Yanzhao; Li, Qiang; Shen, Jihong
1
2021
Global well-posedness for Navier-Stokes-Darcy equations with the free interface. Zbl 07479352
Zhao, Bin; Zhang, Mingyue; Liang, Chuangchuang
1
2021
Stabilized invariant energy quadratization (S-IEQ) method for the molecular beam epitaxial model without slope section. Zbl 07479354
Zhang, Hui; Yang, Xiaofeng; Zhang, Jun
1
2021
A conforming discontinuous Galerkin finite element method. II. Zbl 1465.65151
Ye, Xiu; Zhang, Shangyou
9
2020
A conforming discontinuous Galerkin finite element method. Zbl 1465.65150
Ye, Xiu; Zhang, Shangyou
8
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
5
2020
A time-accurate, adaptive discretization for fluid flow problems. Zbl 07244844
DeCaria, Victor; Layton, William; Zhao, Haiyun
3
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
2
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
2
2020
CS-MRI reconstruction based on the constrained TGV-shearlet scheme. Zbl 1471.92193
Wu, Tingting; Pang, Zhi-Feng; Wang, Youguo; Yang, Yu-Fei
2
2020
Analysis of artificial dissipation of explicit and implicit time-integration methods. Zbl 1471.65120
Öffner, Philipp; Glaubitz, Jan; Ranocha, Hendrik
2
2020
A finite difference method for stochastic nonlinear second-order boundary-value problems driven by additive noisese. Zbl 1471.65011
Baccouch, Mahboub
2
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
1
2020
Long time stability of a linearly extrapolated blended BDF scheme for multiphysics flows. Zbl 07244676
Çibik, Aytekin; Eroglu, Fatma G.; Kaya, Songul
1
2020
3D \(B_2\) model for radiative transfer equation. Zbl 07244680
Li, Ruo; Li, Weiming
1
2020
Conforming harmonic finite elements on the Hsieh-Clough-Tocher split of a triangle. Zbl 1465.65146
Sorokina, Tatyana; Zhang, Shangyou
1
2020
A finite difference scheme for Caputo-Fabrizio fractional differential equations. Zbl 07244841
Guo, Xu; Li, Yutian; Zeng, Tieyong
1
2020
Provably size-guaranteed mesh generation with superconvergence. Zbl 07244843
Li, Xiangrong; Qi, Nan; Zhang, Weiwei; Nie, Yufeng
1
2020
Efficient Galerkin-mixed FEMs for incompressible miscible flow in porous media. Zbl 07408989
Sun, Weiwei; Wu, Chengda
1
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
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
20
2019
Global stability of critical traveling waves with oscillations for time-delayed reaction-diffusion equations. Zbl 1425.35101
Mei, Ming; Zhang, Kaijun; Zhang, Qifeng
10
2019
A second-order Crank-Nicolson method for time-fractional PDEs. Zbl 1406.65060
Gunzburger, Max; Wang, Jilu
7
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
6
2019
Wong-Zakai approximations of stochastic Allen-Cahn equation. Zbl 1431.60067
Liu, Zhihui; Qiao, Zhonghua
6
2019
Convexity splitting in a phase field model for surface diffusion. Zbl 07017833
Backofen, Rainer; Wise, Steven M.; Salvalaglio, Marco; Voigt, Axel
6
2019
Distributed Lagrange multiplier-fictitious domain finite element method for Stokes interface problems. Zbl 1434.65269
Lundberg, Andrew; Sun, Pengtao; Wang, Cheng
5
2019
An iterative approach for constructing immersed finite element spaces and applications to interface problems. Zbl 1408.65090
Wang, Cheng; Sun, Pengtao; Li, Zhilin
5
2019
Analysis of pollution-free approaches for multi-dimensional Helmholtz equations. Zbl 1427.65332
Wang, Kun; Wong, Yau Shu; Huang, Jizu
4
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
4
2019
Numerical solution of a transient three-dimensional eddy current model with moving conductors. Zbl 1434.65174
Bermudez, Alfredo; López-Rodríguez, Bibiana; Rodríguez, Rodolfo; Salgado, Pilar
4
2019
Discontinuous Galerkin methods for the biharmonic problem on polygonal and polyhedral meshes. Zbl 1434.65249
Dong, Zhaonan
4
2019
Analysis of a special immersed finite volume method for elliptic interface problems. Zbl 1431.65200
Liu, Kai; Zou, Qingsong
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
An optimal EDG method for distributed control of convection diffusion PDEs. Zbl 1427.65387
Zhang, Xiao; Zhang, Yangwen; Singler, John R.
3
2019
Coupling method of plane wave DG and boundary element for electromagnetic scattering. Zbl 1427.78029
Hu, Qiya; Guo, Xingyue; Liu, Yang; Zhou, Haijing
3
2019
An efficient multigrid method for ground state solution of Bose-Einstein condensates. Zbl 1434.65287
Zhang, Ning; Xu, Fei; Xie, Hehu
3
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
3
2019
Preconditioning a coupled model for reactive transport in porous media. Zbl 1412.65126
Amir, Laila; Kern, Michel
3
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.
3
2019
Orthogonal spline collocation for singularly perturbed reaction diffusion problems in one dimension. Zbl 1427.65126
Mishra, Pankaj; Sharma, Kapil K.; Pani, Amiya K.; Faiweather, Graeme
2
2019
Color-to-gray conversion with perceptual preservation and dark channel prior. Zbl 1452.65110
Liu, Jun; Fang, Faming; Du, Ning
2
2019
Reliable and efficient a posteriori error estimates of DG methods for a simplified frictional contact problem. Zbl 1412.65193
Wang, Fei; Han, Weimin
2
2019
Numerical analysis of an energy-conservation scheme for two-dimensional Hamiltonian wave equations with Neumann boundary conditions. Zbl 1407.35008
Liu, Changying; Shi, Wei; Wu, Xinyuan
2
2019
Convergence to equilibrium of a DC algorithm for an epitaxial growth model. Zbl 1427.65289
Khalfi, Hamza; Pierre, Morgan; Alaa, Nour Eddine; Guedda, Mohammed
1
2019
Formulas of numerical differentiation on a uniform mesh for functions with the exponential boundary layer. Zbl 1452.65043
Zadorin, Alexander; Tikhovskaya, Svetlana
1
2019
Error analysis of an immersed finite element method for time-dependent beam interface problems. Zbl 1427.65341
Lin, Min
1
2019
Postprocessing of continuous Galerkin solutions for delay differential equations with nonlinear vanishing delay. Zbl 1431.65127
Huang, Qiumei; Jiang, Kun; Xu, Xiuxiu
1
2019
A new a posteriori error estimate for the interior penalty discontinuous Galerkin method. Zbl 1408.65081
Yang, Wei; Cao, Luling; Huang, Yunqing; Cui, Jintao
1
2019
An embedded SDG method for the convection-diffusion equation. Zbl 1408.65087
Cheung, Siu; Chung, Eric T.
1
2019
A time second-order characteristic finite element method for nonlinear advection-diffusion equations. Zbl 1408.65079
Hou, Baohui; Liang, Dong
1
2019
A discontinuous Ritz method for a class of calculus of variations problems. Zbl 1408.65089
Feng, Xiaobing; Schnake, Stefan
1
2019
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
28
2018
A higher-order ensemble/proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1402.35207
Gunzburger, Max; Jiang, Nan; Schneier, Michael
10
2018
Uniform \(L^p\)-bound of the Allen-Cahn equation and its numerical discretization. Zbl 1408.65076
Yang, Jiang; Du, Qiang; Zhang, Wei
10
2018
An ensemble-based conventional turbulence model for fluid-fluid interaction. Zbl 1395.76039
Connors, Jeffrey M.
8
2018
Ensemble timestepping algorithms for natural convection. Zbl 1397.65157
Fiordilino, Joseph Anthony; Khankan, Sarah
7
2018
Symmetric high order Gautschi-type exponential wave integrators pseudospectral method for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1397.65165
Wang, Yan; Zhao, Xiaofei
7
2018
Linear and quadratic immersed finite element methods for the multi-layer porous wall model for coronary drug-eluting stents. Zbl 1406.76054
Zhang, Huili; Lin, Tao; Lin, Yanping
6
2018
An asymptotic preserving implicit unified gas kinetic scheme for frequency-dependent radiative transfer equations. Zbl 1410.82022
Sun, Wenjun; Jiang, Song; Xu, Kun
5
2018
A fractional Stokes equation and its spectral approximation. Zbl 1410.35097
Lin, Shimin; Azaïez, Mejdi; Xu, Chuanju
5
2018
Model error in the LANS-alpha and NS-alpha deconvolution models of turbulence. Zbl 1455.65227
Olson, Eric
4
2018
Penalty projection schemes for the Cahn-Hilliard Navier-Stokes diffuse interface model of two phase flow, and their connection to divergence-free coupled schemes. Zbl 1395.35109
Rebholz, Leo G.; Wise, Steven M.; Xiao, Mengying
4
2018
Fully computable error bounds for eigenvalue problem. Zbl 1412.65200
Hong, Qichen; Xie, Hehu; Yue, Meiling; Zhang, Ning
4
2018
Regularized reduced order models for a stochastic Burgers equation. Zbl 1397.35349
Iliescu, Traian; Liu, Honghu; Xie, Xuping
3
2018
Macro Stokes elements on quadrilaterals. Zbl 1397.65285
Neilan, Michael; Sap, Duygu
3
2018
Regularization and Rothe discretization of semi-explicit operator DAEs. Zbl 1398.65109
Altmann, Robert; Heiland, Jan
3
2018
Positivity-preserving high-order schemes for conservation laws on arbitrarily distributed point clouds with a simple WENO limiter. Zbl 1414.65012
Du, Jie; Shu, Chi-Wang
3
2018
Asymptotics of orthogonal polynomials. Zbl 1406.33008
Wong, R.
3
2018
Local analysis of the local discontinuous Galerkin method with the generalized alternating numerical flux for two-dimensional singularly perturbed problem. Zbl 1412.65113
Cheng, Yao; Zhang, Qiang; Wang, Haijin
2
2018
Second-order two-scale analysis method for dynamic thermo-mechanical problems of composite structures with cylindrical periodicity. Zbl 1409.74003
Dong, Hao; Nie, Yufeng; Cui, Junzhi; Yang, Zihao; Wang, Ziqiang
2
2018
Spread option pricing using ADI methods. Zbl 1397.65138
Heidarpour-Dehkordi, Vida; Christara, Christina C.
2
2018
The \(h\)-\(p\) version of the continuous Petrov-Galerkin method for nonlinear Volterra functional integro-differential equations with vanishing delays. Zbl 1408.65040
Yi, Lijun; Guo, Benqi
2
2018
Construction and analysis of weighted sequential splitting FDTD methods for the 3D Maxwell’s equations. Zbl 1412.65067
Bokil, Vrushali A.; Sakkaplangkul, Puttha
1
2018
Output feedback control of flow separation over an aerofoil using plasma actuators. Zbl 1409.93027
Broglia, R.; Choi, K.-S.; Houston, P.; Pasquale, L.; Zanchetta, P.
1
2018
Weak solutions constructed by semi-discretization are suitable: the case of slip boundary conditions. Zbl 1398.35144
Berselli, Luigi C.
1
2018
Spectral element methods on hybrid triangular and quadrilateral meshes. Zbl 1416.65480
Li, Jingliang; Ma, Heping; Wang, Li-Lian; Wu, Hua
1
2018
Conforming mixed triangular prism elements for the linear elasticity problem. Zbl 1435.74092
Hu, Jun; Ma, Rui
1
2018
Fully diagonalized Chebyshev spectral methods for second and fourth order elliptic boundary value problems. Zbl 1442.65143
Li, Jing-Min; Wang, Zhong-Qing; Li, Hui-Yuan
1
2018
Preconditioning techniques in Chebyshev collocation method for elliptic equations. Zbl 1408.35025
Fang, Zhi-Wei; Shen, Jie; Sun, Hai-Wei
1
2018
Superconvergence of a quadratic finite element method on adaptively refined anisotropic meshes. Zbl 1408.65086
Cao, Weiming
1
2018
Modeling and simulation of the atmospheric dust dynamics: fractional calculus and cloud computing. Zbl 1407.35220
Vázquez, Luis; Pilar Velasco, M.; Vázquez-Poletti, José Luis; Llorente, Ignacio M.; Usero, David; Jiménez, Salvador
1
2018
The singularity-separated method for the singular perturbation problems in 1-D. Zbl 1443.65102
Chen, Chuanmiao; Yang, Jing
1
2018
A fixed-point proximity approach to solving the support vector regression with the group Lasso regularization. Zbl 1407.65066
Li, Zheng; Song, Guohui; Xu, Yuesheng
1
2018
High degree immersed finite element spaces by a least squares method. Zbl 1429.65291
Adjerid, Slimane; Guo, Ruchi; Lin, Tao
16
2017
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
13
2017
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
11
2017
A new finite element for interface problems having Robin type jump. Zbl 1429.65277
Kwak, Do Y.; Lee, Seungwoo; Hyon, Yunkyong
10
2017
A hybridizable weak Galerkin method for the Helmholtz equation with large wave number: \(hp\) analysis. Zbl 1429.65278
Wang, Jiangxing; Zhang, Zhimin
8
2017
Error analysis of an immersed finite element method for Euler-Bernoulli beam interface problems. Zbl 1375.74088
Lin, Min; Lin, Tao; Zhang, Huili
7
2017
An optimal a posteriori error estimates of the local discontinuous Galerkin method for the second-order wave equation in one space dimension. Zbl 1422.65225
Baccouch, Mahboub
7
2017
An \(L^\infty\) bound for the Cahn-Hilliard equation with relaxed non-smooth free energy. Zbl 1368.35220
Kahle, Christian
7
2017
A novel adaptive finite volume method for elliptic equations. Zbl 1380.65338
Zhou, Yanhui; Zou, Qingsong
6
2017
Superconvergence of discontinuous Galerkin methods for linear hyperbolic equations with singular initial data. Zbl 1422.65227
Guo, Li; Yang, Yang
6
2017
Efficient energy-stable dynamic modeling of compositional grading. Zbl 1365.76228
Kou, Jisheng; Sun, Shuyu
6
2017
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Cited by 3,294 Authors

46 Shi, Dongyang
39 Chen, Yanping
31 Ye, Xiu
27 Huang, Yunqing
25 He, Xiaoming
23 He, Yinnian
22 Lin, Tao
22 Sun, Weiwei
22 Wang, Cheng
21 Lin, Yanping
21 Mu, Lin
19 Chung, Tsz Shun Eric
19 Zhang, Shangyou
18 Baccouch, Mahboub
18 Gatica, Gabriel N.
18 Li, Jian
18 Zhang, Zhimin
17 Jung, Changyeol
17 Wang, Hong
16 Pani, Amiya Kumar
16 Wang, Junping
15 Cui, Junzhi
15 Huang, Qiumei
15 Wang, Kun
13 Chen, Zhangxin
13 Guan, Hongbo
13 Lu, Zuliang
13 Nie, Yufeng
13 Ruiz-Baier, Ricardo
13 Shu, Chi-Wang
13 Temam, Roger Meyer
13 Wu, Tingting
12 An, Rong
12 Dolejší, Vít
12 Huang, Pengzhan
12 Li, Buyang
12 Li, Hong
12 Li, Jichun
12 Natesan, Srinivasan
12 Wang, Xiaoshen
12 Yang, Xiaofeng
12 Zhai, Qilong
11 Dehghan Takht Fooladi, Mehdi
11 Gunzburger, Max D.
11 Hou, Songming
11 Liu, Yang
11 O’Riordan, Eugene
11 Si, Zhiyong
11 Tai, Xuecheng
11 Wang, Liqun
11 Zhu, Qiding
10 Feng, Xinlong
10 Guillén González, Francisco M.
10 Guo, Ruchi
10 Ju, Lili
10 Layton, William J.
10 Liu, Jiangguo
10 Liu, Jinghong
10 Mao, Shipeng
10 Mao, Xuerong
10 Rebholz, Leo G.
10 Roul, Pradip
10 Sun, Shuyu
10 Wang, Chunmei
10 Wang, Ruishu
10 Yuan, Long
10 Zhang, Ran
10 Zhang, Xu
9 Du, Qiang
9 Dumbser, Michael
9 Gracia, José Luis
9 Hoang, Manh Tuan
9 Houston, Paul
9 Jiang, Yaolin
9 Oyarzúa, Ricardo
9 Qiao, Zhonghua
9 Shi, Liwei
9 Zhou, Zhaojie
9 Zhu, Shengfeng
8 Bartosz, Krzysztof
8 Cao, Liqun
8 Chen, Chuanjun
8 Čiegis, Raimondas
8 Clavero, Carmelo
8 Gan, Siqing
8 Hou, Yanren
8 Hu, Qiya
8 Kumar, Sarvesh
8 Ma, Qiang
8 Münch, Arnaud
8 Neda, Monika
8 Venturi, Daniele
8 Wang, Jilu
8 Wang, Qi
8 Zhang, Kai
8 Zhang, Yangwen
8 Zhao, Jia
7 Bi, Chunjia
7 Chen, Ke
7 Colmenares, Eligio
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Cited in 269 Journals

210 Journal of Computational and Applied Mathematics
179 Journal of Scientific Computing
161 Journal of Computational Physics
139 Computers & Mathematics with Applications
139 Applied Mathematics and Computation
118 Applied Numerical Mathematics
77 Computer Methods in Applied Mechanics and Engineering
55 Numerical Methods for Partial Differential Equations
53 SIAM Journal on Numerical Analysis
51 Numerische Mathematik
51 Numerical Algorithms
47 International Journal of Numerical Analysis and Modeling
46 Advances in Applied Mathematics and Mechanics
42 SIAM Journal on Scientific Computing
38 Advances in Computational Mathematics
32 Mathematics of Computation
31 Communications in Computational Physics
30 Computational Geosciences
29 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
28 Journal of Mathematical Analysis and Applications
27 Computers and Fluids
25 Mathematics and Computers in Simulation
25 Computational and Applied Mathematics
24 Applied Mathematics Letters
23 International Journal of Computer Mathematics
22 Discrete and Continuous Dynamical Systems. Series B
21 Calcolo
20 Mathematical Problems in Engineering
19 BIT
19 Abstract and Applied Analysis
18 Science China. Mathematics
17 Computational Methods in Applied Mathematics
16 Mathematical Methods in the Applied Sciences
16 Applied Mathematical Modelling
13 International Journal for Numerical Methods in Engineering
13 Advances in Difference Equations
13 Boundary Value Problems
12 Journal of Applied Mathematics
12 Communications on Applied Mathematics and Computation
12 Electronic Research Archive
11 Applicable Analysis
11 Communications in Nonlinear Science and Numerical Simulation
11 Journal of Applied Mathematics and Computing
10 Applications of Mathematics
10 East Asian Journal on Applied Mathematics
9 Journal of Differential Equations
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Acta Mathematicae Applicatae Sinica. English Series
8 Journal of Mathematical Imaging and Vision
8 Engineering Analysis with Boundary Elements
8 Journal of Inequalities and Applications
8 Nonlinear Analysis. Real World Applications
8 Mathematical Modelling and Analysis
8 Journal of Systems Science and Complexity
8 Multiscale Modeling & Simulation
8 Results in Applied Mathematics
7 Computational Optimization and Applications
7 International Journal of Computational Methods
7 Evolution Equations and Control Theory
6 Applied Mathematics and Optimization
6 SIAM Journal on Control and Optimization
6 Physica D
6 Mathematical and Computer Modelling
6 Science in China. Series A
6 Japan Journal of Industrial and Applied Mathematics
6 Computational Mathematics and Mathematical Physics
6 SIAM Journal on Mathematical Analysis
6 Discrete Dynamics in Nature and Society
6 Inverse Problems and Imaging
5 Journal of Fluid Mechanics
5 Journal of Optimization Theory and Applications
5 Acta Applicandae Mathematicae
5 Differential Equations
5 Mediterranean Journal of Mathematics
5 Frontiers of Mathematics in China
5 SIAM Journal on Imaging Sciences
4 Journal of Mathematical Biology
4 Applied Mathematics and Mechanics. (English Edition)
4 Computational Mechanics
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Journal of Non-Newtonian Fluid Mechanics
4 SIAM Journal on Applied Mathematics
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Vietnam Journal of Mathematics
4 Taiwanese Journal of Mathematics
4 International Journal of Applied Mathematics and Computer Science
4 Journal of Numerical Mathematics
4 Central European Journal of Mathematics
4 Kinetic and Related Models
4 Advances in Mathematical Physics
4 International Journal of Applied and Computational Mathematics
3 Archive for Rational Mechanics and Analysis
3 International Journal of Control
3 International Journal for Numerical Methods in Fluids
3 Inverse Problems
3 Journal of the Franklin Institute
3 Journal of Mathematical Physics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Chaos, Solitons and Fractals
3 Kybernetika
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Cited in 46 Fields

2,103 Numerical analysis (65-XX)
1,134 Partial differential equations (35-XX)
645 Fluid mechanics (76-XX)
200 Calculus of variations and optimal control; optimization (49-XX)
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51 Statistical mechanics, structure of matter (82-XX)
50 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
49 Computer science (68-XX)
44 Integral equations (45-XX)
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37 Information and communication theory, circuits (94-XX)
34 Approximations and expansions (41-XX)
26 Operations research, mathematical programming (90-XX)
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20 Statistics (62-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
9 Quantum theory (81-XX)
8 Difference and functional equations (39-XX)
8 Integral transforms, operational calculus (44-XX)
7 Special functions (33-XX)
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6 Functional analysis (46-XX)
6 Differential geometry (53-XX)
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