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Numerical Methods for Partial Differential Equations

An International Journal

Short Title: Numer. Methods Partial Differ. Equations
Publisher: Wiley, Hoboken, NJ
ISSN: 0749-159X; 1098-2426/e
Online: https://onlinelibrary.wiley.com/loi/10982426
Comments: Journal
Documents Indexed: 2,667 Publications (since 1985)
References Indexed: 2,655 Publications with 74,130 References.
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...and 116 more Volumes
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Authors

51 Dehghan Takht Fooladi, Mehdi
32 Sun, Zhizhong
29 Wang, Hong
25 He, Yinnian
20 Herrera, Ismael
19 Mohanty, Ranjan Kumar
18 Rui, Hongxing
17 Chen, Zhangxin
17 Dai, Weizhong
17 Mickens, Ronald Elbert
16 Hayat, Tasawar
15 Ewing, Richard Edward
14 Ganji, Davood Domiri
14 Khaliq, Abdul Qayyum Masud
14 Layton, William J.
13 Li, Jian
13 Whiteman, John Robert
13 Ye, Xiu
12 Jain, Mahinder Kumar
12 Ma, Yichen
12 Shi, Dongyang
12 Zhang, Zhimin
11 Allen, Myron Bartlett III
11 Gatica, Gabriel N.
11 Hou, Yanren
11 Lin, Yanping
11 Omrani, Khaled
11 Sooppy Nisar, Kottakkaran
11 Stephan, Ernst Peter
10 Akgül, Ali
10 Chu, Yuming
10 Hromadka, Theodore V. II
10 Khan, Muhammad Ijaz
10 Li, Jichun
10 Pani, Amiya Kumar
10 Pinder, George Francis
10 Sezer, Mehmet
10 Vijayakumar, Velusamy
10 Wang, Kaixin
10 Xu, Da
10 Yuan, Yirang
9 Al-Lawatia, Mohamed
9 Babuška, Ivo
9 Cooke, Charlie H.
9 Feng, Xinlong
9 Heuer, Norbert
9 Huang, Yunqing
9 Kumar, Sunil
9 Li, Xiaoli
9 Li, Zi-Cai
9 Rebholz, Leo Gregory
9 Sheen, Dongwoo
9 Udhayakumar, Ramalingam
9 Zhang, Shangyou
8 Bürger, Raimund
8 Carey, Graham Francis
8 Celia, Michael A.
8 Chen, Yanping
8 Ervin, Vincent J.
8 Kadry, Seifedine
8 Lin, Tao
8 Power, Henry
8 Vong, Seakweng
8 Zhang, Jun
8 Zhu, Qiding
7 Atangana, Abdon
7 Bochev, Pavel B.
7 Cheng, Aijie
7 Chou, So-Hsiang
7 Gómez-Aguilar, José Francisco
7 He, Wenming
7 Lazarov, Raytcho D.
7 Li, Hong
7 Li, Kaitai
7 Ma, Heping
7 Mattheij, Robert M. M.
7 Oden, John Tinsley
7 Park, Eun-Jae
7 Rivière, Beatrice M.
7 Sheng, Qin
7 Whitley, Robert J.
7 Yang, Danping
6 Ali, Nasir
6 Biazar, Jafar
6 Bruch, John C. jun.
6 Cai, Zhiqiang
6 Chen-Charpentier, Benito Miguel
6 Chen, Wen
6 Dağ, İdris
6 Eymard, Robert
6 Farhloul, Mohamed
6 Gao, Zhiming
6 Gülsu, Mustafa
6 Jafari, Hossein
6 Karageorghis, Andreas
6 Kwak, Do Young
6 Macías-Díaz, Jorge Eduardo
6 Mai-Duy, Nam
6 Mei, Liquan
6 Mu, Lin
...and 3,480 more Authors
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Fields

2,342 Numerical analysis (65-XX)
1,803 Partial differential equations (35-XX)
631 Fluid mechanics (76-XX)
173 Mechanics of deformable solids (74-XX)
83 Ordinary differential equations (34-XX)
79 Classical thermodynamics, heat transfer (80-XX)
79 Biology and other natural sciences (92-XX)
67 Integral equations (45-XX)
66 Optics, electromagnetic theory (78-XX)
59 Real functions (26-XX)
55 Calculus of variations and optimal control; optimization (49-XX)
45 Geophysics (86-XX)
43 Probability theory and stochastic processes (60-XX)
38 Statistical mechanics, structure of matter (82-XX)
29 Approximations and expansions (41-XX)
25 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22 Operator theory (47-XX)
18 Integral transforms, operational calculus (44-XX)
16 Potential theory (31-XX)
15 Special functions (33-XX)
15 Systems theory; control (93-XX)
14 Computer science (68-XX)
11 Dynamical systems and ergodic theory (37-XX)
11 Functional analysis (46-XX)
10 Quantum theory (81-XX)
9 Combinatorics (05-XX)
9 Statistics (62-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
5 Astronomy and astrophysics (85-XX)
5 Operations research, mathematical programming (90-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Differential geometry (53-XX)
3 General topology (54-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Difference and functional equations (39-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Mechanics of particles and systems (70-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

Citations contained in zbMATH Open

2,267 Publications have been cited 26,888 times in 17,762 Documents Cited by Year
Variational formulation for the stationary fractional advection dispersion equation. Zbl 1095.65118
Ervin, Vincent J.; Roop, John Paul
482
2006
Simple nonconforming quadrilateral Stokes element. Zbl 0742.76051
Rannacher, R.; Turek, S.
324
1992
Solving nonlinear fractional partial differential equations using the homotopy analysis method. Zbl 1185.65187
Dehghan, Mehdi; Manafian, Jalil; Saadatmandi, Abbas
311
2010
\(H\)-\(p\) clouds – an \(h\)-\(p\) meshless method. Zbl 0869.65069
Duarte, C. Armando; Oden, J. Tinsley
236
1996
Exponential convergence and \(h\)-\(c\) multiquadric collocation method for partial differential equations. Zbl 1031.65121
Cheng, A. H.-D.; Golberg, M. A.; Kansa, E. J.; Zammito, G.
204
2003
Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Zbl 1058.76046
Kurganov, Alexander; Tadmor, Eitan
190
2002
Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099
Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A.
178
2000
Variational solution of fractional advection dispersion equations on bounded domains in \(\mathbb R^{d}\). Zbl 1117.65169
Ervin, Vincent J.; Roop, John Paul
174
2007
A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions. Zbl 1208.65164
Demkowicz, L.; Gopalakrishnan, J.
170
2011
Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes. Zbl 1314.65151
Mu, Lin; Wang, Junping; Ye, Xiu
154
2014
Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations. Zbl 1196.65154
Liao, Honglin; Sun, Zhizhong
141
2010
On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation. Zbl 1059.65072
Dehghan, Mehdi
139
2005
Contributions to the mathematics of the nonstandard finite difference method and applications. Zbl 0988.65055
Anguelov, Roumen; Lubuma, Jean M.-S.
138
2001
Virtual element methods for parabolic problems on polygonal meshes. Zbl 1336.65171
Vacca, Giuseppe; Beirão da Veiga, Lourenco
138
2015
An immersed finite element space and its approximation capability. Zbl 1057.65085
Li, Z.; Lin, T.; Lin, Y.; Rogers, R. C.
137
2004
Numerical approximation of Riemann-Liouville definition of fractional derivative: from Riemann-Liouville to Atangana-Baleanu. Zbl 1417.65113
Atangana, Abdon; Gómez-aguilar, J. F.
115
2018
A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications. Zbl 1084.65099
Dehghan, Mehdi
110
2006
A numerical method for solving the hyperbolic telegraph equation. Zbl 1145.65078
Dehghan, Mehdi; Shokri, Ali
109
2008
A decoupling method with different subdomain time steps for the nonstationary Stokes-Darcy model. Zbl 1364.76096
Shan, Li; Zheng, Haibiao; Layton, William J.
109
2013
The method of approximate particular solutions for solving certain partial differential equations. Zbl 1242.65267
Chen, C. S.; Fan, C. M.; Wen, P. H.
99
2012
Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method. Zbl 1186.65136
Saadatmandi, Abbas; Dehghan, Mehdi
93
2010
Approximation capability of a bilinear immersed finite element space. Zbl 1154.65090
He, Xiaoming; Lin, Tao; Lin, Yanping
91
2008
Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition. Zbl 1114.65094
Mickens, Ronald E.
85
2007
Discrete duality finite volume schemes for Leray-Lions-type elliptic problems on general 2D meshes. Zbl 1111.65101
Andreianov, Boris; Boyer, Franck; Hubert, Florence
85
2007
Weak Galerkin finite element methods for parabolic equations. Zbl 1307.65133
Li, Qiaoluan H.; Wang, Junping
83
2013
An unconditionally stable uncoupled scheme for a triphasic Cahn-Hilliard/Navier-Stokes model. Zbl 1364.76091
Minjeaud, Sebastian
79
2013
A high-order compact formulation for the 3D Poisson equation. Zbl 0866.65066
Spotz, W. F.; Carey, G. F.
79
1996
Error estimates for a finite volume element method for parabolic equations in convex polygonal domains. Zbl 1067.65092
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V.
78
2004
A compact multipoint flux approximation method with improved robustness. Zbl 1230.65114
Aavatsmark, I.; Eigestad, G. T.; Mallison, B. T.; Nordbotten, J. M.
76
2008
Finite volume element approximations of nonlocal reactive flows in porous media. Zbl 0961.76050
Ewing, Richard; Lazarov, Raytcho; Lin, Yanping
75
2000
Ill-conditioning in the virtual element method: stabilizations and bases. Zbl 1407.65294
Mascotto, Lorenzo
75
2018
Variational multiscale proper orthogonal decomposition: Navier-Stokes equations. Zbl 1452.76048
Iliescu, Traian; Wang, Zhu
71
2014
Finite difference discretization of the Benjamin-Bona-Mahony-Burgers equation. Zbl 1133.65067
Omrani, Khaled; Ayadi, Mekki
70
2008
Unified finite element discretizations of coupled Darcy-Stokes flow. Zbl 1157.76026
Karper, Trygve; Mardal, Kent-Andre; Winther, Ragnar
69
2009
Efficient numerical methods for pricing American options under stochastic volatility. Zbl 1152.91516
Ikonen, Samuli; Toivanen, Jari
68
2008
A numerical method for one-dimensional nonlinear sine-Gordon equation using collocation and radial basis functions. Zbl 1135.65380
Dehghan, M.; Shokri, Ali
68
2008
On the relationship between finite volume and finite element methods applied to the Stokes equations. Zbl 1017.76057
Ye, Xiu
68
2001
Immersed finite element methods for parabolic equations with moving interface. Zbl 1266.65165
He, Xiaoming; Lin, Tao; Lin, Yanping; Zhang, Xu
67
2013
Stabilized Crouzeix-Raviart element for the Darcy-Stokes problem. Zbl 1077.76037
Burman, Erik; Hansbo, Peter
67
2005
An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation. Zbl 0990.65101
Mohanty, R. K.; Jain, M. K.
66
2001
Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement. Zbl 1069.65104
Dehghan, Mehdi
64
2005
High order implicit collocation method for the solution of two-dimensional linear hyperbolic equation. Zbl 1156.65087
Dehghan, Mehdi; Mohebbi, Akbar
64
2009
Exact solutions to a finite-difference model of a nonlinear reaction- advection equation: Implications for numerical analysis. Zbl 0693.65059
Mickens, Ronald E.
64
1989
Numerical algorithm for solving time-fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions. Zbl 1407.65239
Arqub, Omar Abu; Al-Smadi, Mohammed
64
2018
Numerical analysis and computational testing of a high accuracy Leray-deconvolution model of turbulence. Zbl 1191.76061
Layton, William; Manica, Carolina C.; Neda, Monika; Rebholz, Leo G.
63
2008
Compact difference schemes for heat equation with Neumann boundary conditions. Zbl 1181.65115
Sun, Zhi-Zhong
63
2009
Convergence analysis of a new mixed finite element method for Biot’s consolidation model. Zbl 1350.74024
Yi, Son-Young
63
2014
Solutions of time-fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space. Zbl 1407.65153
Arqub, Omar Abu
62
2018
Finite volume methods on Voronoi meshes. Zbl 0903.65083
Mishev, Ilya D.
61
1998
ODE solvers and the method of lines. Zbl 0826.65082
Shampine, L. F.
61
1994
A multilevel finite element method in space-time for the Navier-Stokes problem. Zbl 1081.76044
He, Yinnian; Liu, Kam-Moon
60
2005
Extension of high-order compact schemes to time-dependent problems. Zbl 0998.65101
Spotz, W. F.; Carey, G. F.
60
2001
Some temporal second order difference schemes for fractional wave equations. Zbl 1352.65269
Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua
60
2016
A second-order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection. Zbl 1407.76095
Feng, Wenqiang; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru
60
2018
An analysis of the finite element method for natural convection problems. Zbl 0703.76071
Boland, J.; Layton, W.
59
1990
Numerical solution of parametrized Navier-Stokes equations by reduced basis methods. Zbl 1178.76238
Quarteroni, Alfio; Rozza, Gianluigi
59
2007
A Fourier pseudospectral method for the “good” Boussinesq equation with second-order temporal accuracy. Zbl 1327.65195
Cheng, Kelong; Feng, Wenqiang; Gottlieb, Sigal; Wang, Cheng
59
2015
Some remarks on Zienkiewicz-Zhu estimator. Zbl 0806.73069
Rodríguez, Rodolfo
57
1994
Trefftz, collocation, and other boundary methods – a comparison. Zbl 1223.65093
Li, Zi-Cai; Lu, Tzon-Tzer; Huang, Hung-Tsai; Cheng, Alexander H.-D.
57
2007
Computer-based proof of the existence of superconvergence points in the finite element method; superconvergence of the derivatives in finite element solutions of Laplace’s, Poisson’s, and the elasticity equations. Zbl 0854.65089
Babuška, Ivo; Strouboulis, T.; Upadhyay, C. S.; Gangaraj, S. K.
57
1996
High-order numerical methods for one-dimensional parabolic singularly perturbed problems with regular layers. Zbl 1073.65079
Clavero, C.; Gracia, J. L.; Jorge, J. C.
57
2005
Domain decomposition for radial basis meshless methods. Zbl 1048.65124
Li, Jichun; Hon, Y. C.
55
2004
A meshless method for numerical solution of a linear hyperbolic equation with variable coefficients in two space dimensions. Zbl 1159.65084
Dehghan, Mehdi; Shokri, Ali
55
2009
Mixed finite element methods for generalized Forchheimer flow in porous media. Zbl 1141.76425
Park, Eun-Jae
54
2005
Polynomial particular solutions for certain partial differential operators. Zbl 1019.65096
Golberg, M. A.; Muleshkov, A. S.; Chen, C. S.; Cheng, A. H.-D.
54
2003
The use of Chebyshev cardinal functions for solution of the second-order one-dimensional telegraph equation. Zbl 1169.65102
Dehghan, Mehdi; Lakestani, Mehrdad
54
2009
Determination of a control function in three-dimensional parabolic equations by Legendre pseudospectral method. Zbl 1252.65161
Shamsi, M.; Dehghan, Mehdi
54
2012
High order compact solution of the one-space-dimensional linear hyperbolic equation. Zbl 1151.65071
Mohebbi, Akbar; Dehghan, Mehdi
52
2008
Legendre wavelet method for numerical solutions of partial differential equations. Zbl 1186.65152
Liu, Nanshan; Lin, En-Bing
52
2010
A two-grid method for mixed finite-element solution of reaction-diffusion equations. Zbl 0929.65079
Wu, Li; Allen, Myron B. III
52
1999
Analysis of some finite difference schemes for two-dimensional Ginzburg-Landau equation. Zbl 1233.65062
Wang, Tingchun; Guo, Boling
52
2011
Mixed finite element methods for incompressible flow: stationary Stokes equations. Zbl 1267.76059
Cai, Zhiqiang; Tong, Charles; Vassilevski, Panayot S.; Wang, Chunbo
51
2010
Error estimates for finite volume element methods for general second-order elliptic problems. Zbl 1040.65091
Wu, Haijun; Li, Ronghua
51
2003
A two-grid stabilization method for solving the steady-state Navier-Stokes equations. Zbl 1089.76034
Kaya, Songul; Rivière, Béatrice
51
2006
Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation. Zbl 1272.76217
Betcke, T.; Chandler-Wilde, S. N.; Graham, I. G.; Langdon, S.; Lindner, M.
50
2011
A meshless method using the radial basis functions for numerical solution of the regularized long wave equation. Zbl 1195.65142
Shokri, Ali; Dehghan, Mehdi
50
2010
The convergence of the bilinear and linear immersed finite element solutions to interface problems. Zbl 1241.65090
He, Xiaoming; Lin, Tao; Lin, Yanping
50
2012
Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem. Zbl 1381.76158
Colmenares, Eligio; Gatica, Gabriel N.; Oyarzúa, Ricardo
49
2016
A positivity-preserving nonstandard finite difference scheme for the damped wave equation. Zbl 1062.65086
Mickens, Ronald E.; Jordan, P. M.
49
2004
Nonstandard finite difference schemes for reaction-diffusion equations. Zbl 0926.65085
Mickens, Ronald E.
49
1999
A coupling of nonconforming and mixed finite element methods for Biot’s consolidation model. Zbl 1274.74455
Yi, Son-Young
49
2013
Numerical solution of nonlinear Schrödinger equation by using time-space pseudo-spectral method. Zbl 1195.65137
Dehghan, Mehdi; Taleei, Ameneh
48
2010
\(L^p\) error estimates and superconvergence for covolume or finite volume element methods. Zbl 1029.65123
Chou, So-Hsiang; Kwak, Do Y.; Li, Qian
48
2003
A splitting positive definite mixed element method for miscible displacement of compressible flow in porous media. Zbl 1008.76044
Yang, Danping
48
2001
Numerical analysis of two partitioned methods for uncoupling evolutionary MHD flows. Zbl 1364.76088
Layton, W.; Tran, H.; Trenchea, C.
48
2014
Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws. Zbl 1071.65122
Kurganov, Alexander; Petrova, Guergana
47
2005
A second-order splitting combined with orthogonal cubic spline collocation method for the Rosenau equation. Zbl 0930.65111
Manickam, S. Arul Veda; Pani, Amiya K.; Chung, Sang K.
47
1998
Numerical analysis of two ensemble eddy viscosity numerical regularizations of fluid motion. Zbl 1325.65135
Jiang, Nan; Layton, William
47
2015
Application of a Mickens finite-difference scheme to the cylindrical Bratu-Gelfand problem. Zbl 1048.65102
Buckmire, Ron
46
2004
He’s frequency formulation for fractal nonlinear oscillator arising in a microgravity space. Zbl 07776019
Wang, Kangle
46
2021
Numerical solutions of some parabolic inverse problems. Zbl 0709.65105
Cannon, John R.; Yin, Hong-Ming
45
1990
The boundary integral equation approach for numerical solution of the one-dimensional sine-Gordon equation. Zbl 1153.65099
Dehghan, Mehdi; Mirzaei, Davoud
45
2008
High-order difference schemes for two-dimensional elliptic equations. Zbl 0634.65078
Gupta, Murli M.; Manohar, Ram P.; Stephenson, John W.
45
1985
Numerical solution of the one-dimensional wave equation with an integral condition. Zbl 1112.65097
Saadatmandi, Abbas; Dehghan, Mehdi
44
2007
On the finite-differences schemes for the numerical solution of two dimensional Schrödinger equation. Zbl 1014.65077
Subaşi, Murat
44
2002
An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh. Zbl 0822.65085
Herbin, Raphaèle
44
1995
A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials. Zbl 07776012
Kumar, Sunil; Kumar, Ranbir; Osman, M. S.; Samet, Bessem
44
2021
Nonintrusive reduced-order modeling of parametrized time-dependent partial differential equations. Zbl 1274.65270
Audouze, Christophe; De Vuyst, Florian; Nair, Prasanth B.
44
2013
Forty years of the Crouzeix-Raviart element. Zbl 1310.65142
Brenner, Susanne C.
44
2015
Numerical methods for structured population models: The escalator boxcar train. Zbl 0658.92016
de Roos, A. M.
44
1988
Existence and controllability of nonlocal mixed Volterra-Fredholm type fractional delay integro-differential equations of order \(1 < r < 2\). Zbl 1531.34071
Kavitha Williams, W.; Vijayakumar, V.; Udhayakumar, R.; Panda, Sumati Kumari; Nisar, Kottakkaran Sooppy
28
2024
New discussion on approximate controllability results for fractional Sobolev type Volterra-Fredholm integro-differential systems of order \(1<r<2\). Zbl 07840123
Vijayakumar, V.; Ravichandran, Chokkalingam; Nisar, Kottakkaran Sooppy; Kucche, Kishor D.
24
2024
Numerical investigations on COVID-19 model through singular and non-singular fractional operators. Zbl 1531.92015
Kumar, Sunil; Chauhan, R. P.; Momani, Shaher; Hadid, Samir
17
2024
Mathematical model for spreading of COVID-19 virus with the Mittag-Leffler kernel. Zbl 1531.92082
Logeswari, Kumararaju; Ravichandran, Chokkalingam; Nisar, Kottakkaran Sooppy
11
2024
Results on approximate controllability of neutral integro-differential stochastic system with state-dependent delay. Zbl 1531.93026
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Nisar, Kottakkaran Sooppy
11
2024
Emphasis on unsteady dynamics of bioconvective hybrid nanofluid flow over an upward-downward moving rotating disk. Zbl 1531.76123
Jayadevamurthy, Punith Gowda Ramanahalli; Rangaswamy, Naveen Kumar; Prasannakumara, Ballajja Chandrappa; Nisar, Kottakkaran Sooppy
10
2024
Results on existence and controllability results for fractional evolution inclusions of order \(1 < r < 2\) with Clarke’s subdifferential type. Zbl 1531.34058
Mohan Raja, M.; Vijayakumar, V.; Udhayakumar, R.; Nisar, Kottakkaran Sooppy
10
2024
New formulas of the high-order derivatives of fifth-kind Chebyshev polynomials: spectral solutionof the convection-diffusion equation. Zbl 07840114
Abd-Elhameed, Waleed M.; Youssri, Youssri H.
6
2024
A study on fractional predator-prey-pathogen model with Mittag-Leffler kernel-based operators. Zbl 1531.92010
Ghanbari, Behzad; Kumar, Sunil
6
2024
Integrated neuro-evolution heuristic with sequential quadratic programming for second-order prediction differential models. Zbl 1531.65087
Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Wahab, Hafiz Abdul; Shoaib, Muhammad; Aguilar, J. F. Gómez
6
2024
New extensions of Hermite-Hadamard inequalities via generalized proportional fractional integral. Zbl 07840121
Mumcu, İlker; Set, Erhan; Akdemir, Ahmet Ocak; Jarad, Fahd
5
2024
Results on approximate controllability of Sobolev type fractional stochastic evolution hemivariational inequalities. Zbl 1531.65017
Vijayakumar, V.; Udhayakumar, R.; Panda, Sumati Kumari; Nisar, Kottakkaran Sooppy
4
2024
Numerical solutions of the partial differential equations for investigating the significance of partial slip due to lateral velocity and viscous dissipation: the case of blood-gold Carreau nanofluid and dusty fluid. Zbl 1544.76148
Koriko, Olubode Kolade; Adegbie, Kolawole S.; Shah, Nehad Ali; Animasaun, Isaac L.; Olotu, M. Adejoke
3
2024
MHD two-phase flow of Jeffrey fluid suspended with Hafnium and crystal particles: analytical treatment. Zbl 1544.76138
Nazeer, Mubbashar; Hussain, Farooq; Khan, M. Ijaz; Shahzad, Qasiar; Chu, Yu-Ming; Kadry, Seifedine
3
2024
Numerical study of conforming space-time methods for Maxwell’s equations. Zbl 07840128
Hauser, Julia I. M.; Zank, Marco
3
2024
Perturbation based analytical solutions of non-Newtonian differential equation with heat and mass transportation between horizontal permeable channel. Zbl 1548.76013
Nazeer, Mubbashar; Ijaz Khan, M.; Saleem, Adila; Chu, Yu-Ming; Kadry, Seifedine; Rasheed, M. Tahir
2
2024
Comparison between the new exact and numerical solutions of the Mikhailov-Novikov-Wang equation. Zbl 07840124
Bekir, Ahmet; Shehata, Maha S. M.; Zahran, Emad H. M.
2
2024
Two-grid finite element method on grade meshes for time-fractional nonlinear Schrödinger equation. Zbl 07840131
Hu, Hanzhang; Chen, Yanping; Zhou, Jianwei
2
2024
Analytical and numerical techniques for initial-boundary value problems of Kolmogorov-Petrovsky-Piskunov equation. Zbl 1531.65129
Wongsaijai, Ben; Aydemir, Tuğba; Ak, Turgut; Dhawan, Sharanjeet
2
2024
Neilan’s divergence-free finite elements for Stokes equations on tetrahedral grids. Zbl 1531.65259
Zhang, Shangyou
2
2024
A variation of distance domination in composite networks. Zbl 1536.05345
Aytaç, Vecdi; Şentürk, Fatmana
1
2024
Significance of bioconvection in flow of Williamson nano-material confined by a porous radioactive Riga surface with convective Nield constrains. Zbl 1547.76135
Ahmad, Iftikhar; Aziz, Samaira; Ali, Nasir; Khan, Sami Ullah
1
2024
Sharp estimates of the unique solution for two-point fractional boundary value problems with conformable derivative. Zbl 07840117
Laadjal, Zaid; Abdeljawad, Thabet; Jarad, Fahd
1
2024
Mathematical modeling of bio-magnetic fluid bounded within ciliated walls of wavy channel. Zbl 1547.76137
Nazeer, Mubbashar; Hussain, Farooq; Iftikhar, Sadia; Ijaz Khan, Muhammad; Ramesh, K.; Shehzad, Nasir; Baig, Afifa; Kadry, Seifedine; Chu, Yu-Ming
1
2024
Strong approximation of stochastic semilinear subdiffusion and superdiffusion driven by fractionally integrated additive noise. Zbl 07840126
Hu, Ye; Yan, Yubin; Sarwar, Shahzad
1
2024
A numerical study on fractional differential equation with population growth model. Zbl 1531.65091
Kumar, Sunil; Shaw, Pawan Kumar; Abdel-Aty, Abdel-Haleem; Mahmoud, Emad E.
1
2024
Heat transfer analysis on MHD flow over a stretchable Riga wall considering entropy generation rate: a numerical study. Zbl 1531.76110
Shah, Faisal; Khan, Muhammad Ijaz; Chu, Yu-Ming; Kadry, Seifedine
1
2024
Numerical solutions of fractional parabolic equations with generalized Mittag-Leffler kernels. Zbl 1531.65209
Alomari, Abedel-Karrem; Abdeljawad, Thabet; Baleanu, Dumitru; Saad, Khaled M.; Al-Mdallal, Qasem M.
1
2024
Two-sided Krylov enhanced proper orthogonal decomposition methods for partial differential equations with variable coefficients. Zbl 1531.65180
Wang, Li; Miao, Zhen; Jiang, Yao-Lin
1
2024
Superconvergence analysis of the bilinear-constant scheme for two-dimensional incompressible convective Brinkman-Forchheimer equations. Zbl 1531.65255
Yang, Huaijun; Jia, Xu
1
2024
Strong convergence for an explicit fully-discrete finite element approximation of the Cahn-Hilliard-Cook equation with additive noise. Zbl 1531.65016
Lin, Qiu; Qi, Ruisheng
1
2024
An efficient linearly implicit and energy-conservative scheme for two dimensional Klein-Gordon-Schrödinger equations. Zbl 1531.65112
Li, Hongwei; Yang, Yuna; Li, Xiangkun
1
2024
Finite element algorithm with a second-order shifted composite numerical integral formula for a nonlinear time fractional wave equation. Zbl 1531.65176
Ren, Haoran; Liu, Yang; Yin, Baoli; Li, Hong
1
2024
Efficient and accurate temporal second-order numerical methods for multidimensional multi-term integrodifferential equations with the Abel kernels. Zbl 07866647
Zhao, Mingchao; Chen, Hao; Li, Kexin
1
2024
A numerical technique based on B-spline for a class of time-fractional diffusion equation. Zbl 1533.65199
Roul, Pradip; Prasad Goura, V. M. K.; Cavoretto, Roberto
10
2023
The divergence-free nonconforming virtual element method for the Navier-Stokes problem. Zbl 07776994
Zhang, Bei; Zhao, Jikun; Li, Meng
10
2023
A \(C^0\) linear finite element method for a second-order elliptic equation in non-divergence form with Cordes coefficients. Zbl 07777005
Xu, Minqiang; Lin, Runchang; Zou, Qingsong
8
2023
Approximate controllability results for Sobolev-type delay differential system of fractional order without uniqueness. Zbl 1535.35189
Vijayakumar, V.; Udhayakumar, R.; Zhou, Yong; Sakthivel, N.
8
2023
High-order finite difference/spectral-Galerkin approximations for the nonlinear time-space fractional Ginzburg-Landau equation. Zbl 07769130
Zaky, Mahmoud A.; Hendy, Ahmed S.; Macías-Díaz, Jorge E.
7
2023
A systematic study on weak Galerkin finite element method for second-order parabolic problems. Zbl 07777013
Deka, Bhupen; Kumar, Naresh
7
2023
Learning parameters of a system of variable order fractional differential equations. Zbl 07776993
Singh, Abhishek Kumar; Mehra, Mani; Gulyani, Samarth
6
2023
A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters. Zbl 1531.65156
Bao, Weizhu; Garcke, Harald; Nürnberg, Robert; Zhao, Quan
6
2023
A kernel-based pseudo-spectral method for multi-term and distributed order time-fractional diffusion equations. Zbl 07777021
Fardi, Mojtaba
5
2023
A kernel-based method for solving the time-fractional diffusion equation. Zbl 07777024
Fardi, Mojtaba
5
2023
An unconditionally stable artificial compression method for the time-dependent groundwater-surface water flows. Zbl 1535.65205
Qin, Yi; Wang, Yang; Hou, Yanren; Li, Jian
5
2023
Computational analysis of the third order dispersive fractional PDE under exponential-decay and Mittag-Leffler type kernels. Zbl 07769129
Ahmad, Shabir; Ullah, Aman; Shah, Kamal; Akgül, Ali
5
2023
On the SAV-DG method for a class of fourth order gradient flows. Zbl 07776958
Liu, Hailiang; Yin, Peimeng
5
2023
Convergence of a finite element method on a Bakhvalov-type mesh for a singularly perturbed convection-diffusion equation in 2D. Zbl 07776959
Zhang, Jin; Liu, Xiaowei
5
2023
Error analysis of a fully discrete projection method for magnetohydrodynamic system. Zbl 07776970
Ding, Qianqian; He, Xiaoming; Long, Xiaonian; Mao, Shipeng
5
2023
Displacement-pseudostress formulation for the linear elasticity spectral problem. Zbl 07776995
Inzunza, Daniel; Lepe, Felipe; Rivera, Gonzalo
5
2023
An inverse problem of identifying the time-dependent potential in a fourth-order pseudo-parabolic equation from additional condition. Zbl 07776941
Huntul, Mousa J.; Tamsir, Mohammad; Dhiman, Neeraj
4
2023
A modified walk-on-sphere method for high dimensional fractional Poisson equation. Zbl 07776956
Jiao, Caiyu; Li, Changpin; Wang, Hexiang; Zhang, Zhongqiang
4
2023
Finite difference schemes for the fourth-order parabolic equations with different boundary value conditions. Zbl 1531.65114
Lu, Xuan-ru; Gao, Guang-Hua; Sun, Zhi-Zhong
4
2023
A linear adaptive second-order backward differentiation formulation scheme for the phase field crystal equation. Zbl 07769113
Hou, Dianming; Qiao, Zhonghua
4
2023
On solutions of time-fractional advection-diffusion equation. Zbl 07769127
Attia, Nourhane; Akgül, Ali; Seba, Djamila; Nour, Abdelkader
4
2023
Exact solutions of convective-diffusive Cahn-Hilliard equation using extended direct algebraic method. Zbl 07769128
Rehman, Hamood Ur; Ullah, Naeem; Asjad, Muhammad Imran; Akgül, Ali
4
2023
A two-grid finite element method for the Allen-Cahn equation with the logarithmic potential. Zbl 07776961
Wang, Danxia; Li, Yanan; Jia, Hongen
4
2023
Quadratic B-spline collocation method for time dependent singularly perturbed differential-difference equation arising in the modeling of neuronal activity. Zbl 07776985
Shivhare, Meenakshi; Podila, Pramod Chakravarthy; Ramos, Higinio; Vigo-Aguiar, Jesús
4
2023
Decatic B-spline collocation scheme for approximate solution of Burgers’ equation. Zbl 07776988
Jena, Saumya R.; Gebremedhin, Guesh S.
4
2023
On the sparse multiscale representation of 2-D Burgers equations by an efficient algorithm based on multiwavelets. Zbl 07776992
Nemati Saray, Behzad; Lakestani, Mehrdad; Dehghan, Mehdi
4
2023
On numerical study of constrained coupled shape optimization problems based on a new shape derivative method. Zbl 07776996
Boulkhemair, Abdesslam; Chakib, Abdelkrim; Sadik, Azeddine
4
2023
Linearized compact difference methods for solving nonlinear Sobolev equations with distributed delay. Zbl 07777001
Tan, Zengqiang; Ran, Maohua
4
2023
Superlinear convergence of Anderson accelerated Newton’s method for solving stationary Navier-Stokes equations. Zbl 1535.65287
Xiao, Mengying
4
2023
Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier-Stokes equations. Zbl 1535.65203
Masri, Rami; Liu, Chen; Riviere, Beatrice
4
2023
Structure-preserving exponential wave integrator methods and the long-time convergence analysis for the Klein-Gordon-Dirac equation with the small coupling constant. Zbl 1535.65228
Li, Jiyong; Jin, Xiaoqian
4
2023
Approximation of functions by a new type of Gamma operators. Zbl 1543.41012
Betus, Ömür; Usta, Fuat
4
2023
A new \(\phi \)-FEM approach for problems with natural boundary conditions. Zbl 1532.65109
Duprez, Michel; Lleras, Vanessa; Lozinski, Alexei
4
2023
Convergence and superconvergence analysis for nonlinear delay reaction-diffusion system with nonconforming finite element. Zbl 1531.65174
Peng, Shanshan; Li, Meng; Zhao, Yanmin; Wang, Fenling; Shi, Yanhua
4
2023
Microorganisms swimming through radiative sutterby nanofluid over stretchable cylinder: hydrodynamic effect. Zbl 07776948
Raza, Rabeeah; Naz, Rahila; Abdelsalam, Sara I.
3
2023
A pressure-robust weak Galerkin finite element method for Navier-Stokes equations. Zbl 07777009
Mu, Lin
3
2023
A novel local Hermite radial basis function-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation with Neumann boundary conditions. Zbl 1535.65229
Liu, Jianming; Li, Xin Kai; Hu, Xiuling
3
2023
A simplified primal-dual weak Galerkin finite element method for Fokker-Planck-type equations. Zbl 1528.65113
Li, Dan; Wang, Chunmei
3
2023
Energy stability of exponential time differencing schemes for the nonlocal Cahn-Hilliard equation. Zbl 1535.65244
Zhou, Quan; Sun, Yabing
3
2023
Analysis of the parareal approach based on discontinuous Galerkin method for time-dependent Stokes equations. Zbl 1533.65176
Li, Jun; Jiang, Yao-Lin; Miao, Zhen
3
2023
Numerical analysis of a corrected Smagorinsky model. Zbl 1537.65140
Siddiqua, Farjana; Xie, Xihui
3
2023
Two-level stabilized finite volume method for the stationary incompressible magnetohydrodynamic equations. Zbl 07769114
Chu, Xiaochen; Chen, Chuanjun; Zhang, Tong
3
2023
Virtual element method for elliptic bulk-surface PDEs in three space dimensions. Zbl 07769115
Frittelli, Massimo; Madzvamuse, Anotida; Sgura, Ivonne
3
2023
Experimental convergence rate study for three shock-capturing schemes and development of highly accurate combined schemes. Zbl 07769119
Chu, Shaoshuai; Kovyrkina, Olyana A.; Kurganov, Alexander; Ostapenko, Vladimir V.
3
2023
Thermal instability of magnetohydrodynamic couple stress nanofluid in rotating porous medium. Zbl 07769125
Singh, Bhupander; Nisar, Kottakkaran Sooppy
3
2023
Exact solutions of \((2+1)\)-dimensional Schrödinger’s hyperbolic equation using different techniques. Zbl 1534.35359
Rehman, Hamood Ur; Imran, Muhammad Asjad; Ullah, Naeem; Akgül, Ali
3
2023
A fast numerical solution of the nonlinear tempered fractional integrodifferential equation. Zbl 07776965
Qiao, Leijie; Qiu, Wenlin; Tang, Bo
3
2023
A novel approach for the solution of fractional diffusion problems with conformable derivative. Zbl 07776989
Bayrak, Mine A.; Demir, Ali; Ozbilge, Ebru
3
2023
Error estimates of an operator-splitting finite element method for the time-dependent natural convection problem. Zbl 07777003
Yang, Yun-Bo; Huang, Bin-Chao; Jiang, Yao-Lin
3
2023
An oscillation free local discontinuous Galerkin method for nonlinear degenerate parabolic equations. Zbl 1535.65208
Tao, Qi; Liu, Yong; Jiang, Yan; Lu, Jianfang
3
2023
Numerical solution of the partial differential equations that model the steady three-dimensional flow and heat transfer of Carreau fluid between two stretchable rotatory disks. Zbl 1535.65169
Usman; Ghaffari, Abuzar; Kausar, Samina
3
2023
Block preconditioners for energy stable schemes of magnetohydrodynamics equations. Zbl 1531.65187
Zhang, Guo-Dong; Yang, Min; He, Yinnian
3
2023
A mixed element analysis of the Biot’s model with Darcy-Forchheimer flow. Zbl 1531.65170
Li, Hongpeng; Rui, Hongxing
3
2023
Convergence analysis of a fast second-order time-stepping numerical method for two-dimensional nonlinear time-space fractional Schrödinger equation. Zbl 1531.65132
Zhang, Hui; Jiang, Xiaoyun
3
2023
Partial differential integral equation model for pricing American option under multi state regime switching with jumps. Zbl 07776943
Yousuf, Muhammad; Khaliq, Abdul Q. M.
2
2023
Numerical solutions of generalized Rosenau-KDV-RLW equation by using Haar wavelet collocation approach coupled with nonstandard finite difference scheme and quasilinearization. Zbl 07776954
Verma, Amit Kumar; Rawani, Mukesh Kumar
2
2023
On two-dimensional weakly singular fractional partial integro-differential equations and dual Bernstein polynomials. Zbl 07777017
Sayevand, Khosro; Mirzaee, Farshid; Masti, Imman
2
2023
The analysis of the solution of the Burgers-Huxley equation using the Galerkin method. Zbl 1535.65184
Chin, Pius W. M.
2
2023
A multilevel Monte Carlo ensemble and hybridizable discontinuous Galerkin method for a stochastic parabolic problem. Zbl 1535.65197
Li, Meng; Luo, Xianbing
2
2023
Parameter-robust mixed element method for poroelasticity with Darcy-Forchheimer flow. Zbl 1529.76055
Li, Hongpeng; Rui, Hongxing
2
2023
High order accurate and convergent numerical scheme for the strongly anisotropic Cahn-Hilliard model. Zbl 1535.65218
Cheng, Kelong; Wang, Cheng; Wise, Steven M.
2
2023
A study of distributed-order time fractional diffusion models with continuous distribution weight functions. Zbl 1536.65092
Yu, Qiang; Turner, Ian; Liu, Fawang; Moroney, Timothy
2
2023
On solutions of fuzzy fractional order complex population dynamical model. Zbl 07769132
Ullah, Abd; Ullah, Aman; Ahmad, Shabir; Ahmad, Imtiaz; Akgül, Ali
2
2023
A fourth-order accurate numerical method for the distributed-order Riesz space fractional diffusion equation. Zbl 07776962
Chen, Xuejuan; Chen, Jinghua; Liu, Fawang; Sun, Zhi-zhong
2
2023
Strong optimal error estimates of discontinuous Galerkin method for multiplicative noise driving nonlinear SPDEs. Zbl 07776998
Yang, Xu; Zhao, Weidong; Zhao, Wenju
2
2023
A stabilizer free weak Galerkin finite element method for second-order Sobolev equation. Zbl 07777000
Kumar, Naresh; Deka, Bhupen
2
2023
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Cited by 16,738 Authors

305 Dehghan Takht Fooladi, Mehdi
138 Shi, Dongyang
115 He, Yinnian
95 Huang, Yunqing
94 Gatica, Gabriel N.
91 Wang, Hong
90 Băleanu, Dumitru I.
89 Feng, Xinlong
86 Chen, Yanping
83 Zhang, Zhimin
82 Abbaszadeh, Mostafa
82 Mohanty, Ranjan Kumar
82 Rui, Hongxing
75 Li, Hong
70 Li, Jian
69 Chen, Zhangxin
66 Sun, Zhizhong
64 Huang, Pengzhan
64 Liu, Yang
64 Zhang, Shangyou
63 Ruiz-Baier, Ricardo
62 Rebholz, Leo Gregory
62 Xu, Da
60 Ye, Xiu
59 Li, Jichun
58 Liu, Fawang
58 Macías-Díaz, Jorge Eduardo
57 Yang, Xiaofeng
54 Hou, Yanren
53 Li, Zi-Cai
52 Demkowicz, Leszek
52 Zhang, Tong
50 Chen, Ching-Shyang
49 Sooppy Nisar, Kottakkaran
47 He, Xiaoming
46 Yuan, Guangwei
46 Zhang, Zhiyue
45 Vijayakumar, Velusamy
45 Zaky, Mahmoud A.
44 Chen, Wen
43 Dai, Weizhong
42 Heuer, Norbert
42 Li, Xiaoli
42 Shang, Yueqiang
42 Wang, Cheng
41 Lin, Tao
41 Luo, Zhendong
40 Hendy, Ahmed S.
40 Khaliq, Abdul Qayyum Masud
40 Li, Xiaolin
40 Omrani, Khaled
40 Oyarzúa, Ricardo
40 Zhang, Luming
39 Bhrawy, Ali Hassan
39 Bürger, Raimund
39 Chen, Chuanjun
39 Liu, Chein-Shan
39 Rozza, Gianluigi
38 Kurganov, Alexander
38 Layton, William J.
38 Yang, Xuehua
37 Arqub, Omar Abu
37 Feng, Minfu
37 Führer, Thomas
37 Li, Meng
37 Ordokhani, Yadollah
37 Zhang, Haixiang
36 Babuška, Ivo
36 Doha, Eid H.
36 Karageorghis, Andreas
36 Lubuma, Jean Mbaro-Saman
36 Mei, Liquan
36 Mohebbi, Akbar
36 Pani, Amiya Kumar
36 Razzaghi, Mohsen
36 Yüzbaşı, Şuayip
36 Zheng, Xiangcheng
35 Antonietti, Paola Francesca
35 Fu, Hongfei
35 Lin, Ji
35 Wang, Junping
35 Yıldırım, Ahmet
35 Zhang, Jun
35 Zheng, Haibiao
34 Duressa, Gemechis File
34 Ge, Yongbin
34 Heydari, Mohammad Hossein
34 Li, Zhilin
34 Manafian Heris, Jalil
34 Quarteroni, Alfio M.
33 Atangana, Abdon
33 Manzini, Gianmarco
33 Zhou, Zhaojie
32 Abbasbandy, Saeid
32 Akgül, Ali
32 Avazzadeh, Zakieh
32 Carstensen, Carsten
32 Parand, Kourosh
31 Deng, Dingwen
31 Inc, Mustafa
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943 Journal of Computational and Applied Mathematics
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795 Journal of Computational Physics
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744 Applied Numerical Mathematics
671 Journal of Scientific Computing
482 Mathematical Methods in the Applied Sciences
463 Engineering Analysis with Boundary Elements
378 International Journal of Computer Mathematics
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205 SIAM Journal on Numerical Analysis
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125 International Journal of Applied and Computational Mathematics
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118 Chaos, Solitons and Fractals
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103 International Journal for Numerical Methods in Fluids
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90 Abstract and Applied Analysis
88 International Journal of Numerical Analysis and Modeling
88 Communications in Computational Physics
87 Computational Mechanics
86 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
79 Journal of Difference Equations and Applications
77 Applicable Analysis
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29 Applied Mathematics and Mechanics. (English Edition)
28 Physica D
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28 Chinese Journal of Physics (Taipei)
27 Nonlinear Dynamics
27 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
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26 Computational Mathematics and Mathematical Physics
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25 Mediterranean Journal of Mathematics
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23 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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5 Mathematics education (97-XX)
4 Nonassociative rings and algebras (17-XX)
4 Group theory and generalizations (20-XX)
3 Mathematical logic and foundations (03-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Sequences, series, summability (40-XX)
3 Algebraic topology (55-XX)
2 Field theory and polynomials (12-XX)
2 Topological groups, Lie groups (22-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)

Citations by Year