×

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: http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1098-2426/issues
Documents Indexed: 2,036 Publications (since 1985)
References Indexed: 1,785 Publications with 42,302 References.
all top 5

Latest Issues

36, No. 1 (2020)
35, No. 6 (2019)
35, No. 5 (2019)
35, No. 4 (2019)
35, No. 3 (2019)
35, No. 2 (2019)
35, No. 1 (2019)
34, No. 6 (2018)
34, No. 5 (2018)
34, No. 4 (2018)
34, No. 3 (2018)
34, No. 2 (2018)
34, No. 1 (2018)
33, No. 6 (2017)
33, No. 5 (2017)
33, No. 4 (2017)
33, No. 3 (2017)
33, No. 2 (2017)
33, No. 1 (2017)
32, No. 6 (2016)
32, No. 5 (2016)
32, No. 4 (2016)
32, No. 3 (2016)
32, No. 2 (2016)
32, No. 1 (2016)
31, No. 6 (2015)
31, No. 5 (2015)
31, No. 4 (2015)
31, No. 3 (2015)
31, No. 2 (2015)
31, No. 1 (2015)
30, No. 6 (2014)
30, No. 5 (2014)
30, No. 4 (2014)
30, No. 3 (2014)
30, No. 2 (2014)
30, No. 1 (2014)
29, No. 6 (2013)
29, No. 5 (2013)
29, No. 4 (2013)
29, No. 3 (2013)
29, No. 2 (2013)
29, No. 1 (2013)
28, No. 6 (2012)
28, No. 5 (2012)
28, No. 4 (2012)
28, No. 2 (2012)
28, No. 1 (2012)
27, No. 6 (2011)
27, No. 5 (2011)
27, No. 4 (2011)
27, No. 3 (2011)
27, No. 2 (2011)
27, No. 1 (2011)
26, No. 6 (2010)
26, No. 5 (2010)
26, No. 4 (2010)
26, No. 3 (2010)
26, No. 2 (2010)
26, No. 1 (2010)
25, No. 6 (2009)
25, No. 5 (2009)
25, No. 4 (2009)
25, No. 3 (2009)
25, No. 2 (2009)
25, No. 1 (2009)
24, No. 6 (2008)
24, No. 5 (2008)
24, No. 4 (2008)
24, No. 3 (2008)
24, No. 2 (2008)
24, No. 1 (2008)
23, No. 6 (2007)
23, No. 5 (2007)
23, No. 4 (2007)
23, No. 3 (2007)
23, No. 2 (2007)
23, No. 1 (2007)
22, No. 6 (2006)
22, No. 5 (2006)
22, No. 4 (2006)
22, No. 3 (2006)
22, No. 2 (2006)
22, No. 1 (2006)
21, No. 6 (2005)
21, No. 5 (2005)
21, No. 4 (2005)
21, No. 3 (2005)
21, No. 2 (2005)
21, No. 1 (2005)
20, No. 6 (2004)
20, No. 5 (2004)
20, No. 4 (2004)
20, No. 3 (2004)
20, No. 2 (2004)
20, No. 1 (2004)
19, No. 6 (2003)
19, No. 5 (2003)
19, No. 4 (2003)
19, No. 3 (2003)
...and 88 more Volumes
all top 5

Authors

44 Dehghan Takht Fooladi, Mehdi
26 Sun, Zhizhong
25 Wang, Hong
23 He, Yinnian
20 Herrera, Ismael
19 Mohanty, Ranjan Kumar
17 Chen, Zhangxin
17 Mickens, Ronald Elbert
16 Hayat, Tasawar
15 Dai, Weizhong
15 Ewing, Richard Edward
14 Rui, Hongxing
13 Ganji, Davood Domiri
13 Whiteman, John Robert
12 Khaliq, Abdul Q. M.
12 Layton, William J.
12 Li, Jian
12 Ma, Yichen
12 Zhang, Zhimin
11 Allen, Myron Bartlett III
11 Lin, Yanping
11 Ye, Xiu
10 Gatica, Gabriel N.
10 Hromadka, Theodore V. II
10 Omrani, Khaled
10 Pinder, George Francis
10 Sezer, Mehmet
10 Stephan, Ernst Peter
10 Wang, Kaixin
10 Yuan, Yirang
9 Al-Lawatia, Mohamed
9 Babuška, Ivo
9 Cooke, Charlie H.
9 Heuer, Norbert
9 Hou, Yanren
9 Li, Jichun
9 Pani, Amiya Kumar
8 Carey, Graham Francis
8 Celia, Michael A.
8 Ervin, Vincent J.
8 Lin, Tao
8 Power, Henry
8 Zhang, Jun
8 Zhu, Qiding
7 Bürger, Raimund
7 Cheng, Aijie
7 Chou, So-Hsiang
7 Feng, Xinlong
7 Huang, Yunqing
7 Lazarov, Raytcho D.
7 Li, Kaitai
7 Ma, Heping
7 Mattheij, Robert M. M.
7 Oden, John Tinsley
7 Rebholz, Leo G.
7 Sheen, Dongwoo
7 Sheng, Qin
7 Whitley, Robert J.
7 Yang, Danping
6 Biazar, Jafar
6 Bruch, John C. jun.
6 Cai, Zhiqiang
6 Chen, Wen
6 Dağ, İdris
6 Eymard, Robert
6 Farhloul, Mohamed
6 Gülsu, Mustafa
6 Jafari, Hossein
6 Karageorghis, Andreas
6 Kwak, Do Young
6 Mai-Duy, Nam
6 Mei, Liquan
6 Nassar, Raja F.
6 Pao, Chia-Ven
6 Park, Eun-Jae
6 Rivière, Beatrice M.
6 Shi, Dongyang
6 Tran-Cong, Thanh
6 Twizell, E. H.
6 Vong, Seakweng
6 Wu, Li
6 Yates, Robert A.
6 Zhang, Luming
5 Achouri, Talha
5 Beirão da Veiga, Lourenço
5 Bi, Chunjia
5 Bialecki, Bernard
5 Bowers, Kenneth L.
5 Chen, Ching-Shyang
5 Chen, Yanping
5 Deng, Weihua
5 He, Wenming
5 Hu, Xiuling
5 Kim, Sangdong
5 Lesnic, Daniel
5 Li, Qian
5 Li, Xiaoli
5 Li, Zi-Cai
5 Liang, Dong
5 Liu, Jinghong
...and 2,479 more Authors
all top 5

Fields

1,771 Numerical analysis (65-XX)
1,267 Partial differential equations (35-XX)
535 Fluid mechanics (76-XX)
146 Mechanics of deformable solids (74-XX)
65 Ordinary differential equations (34-XX)
57 Biology and other natural sciences (92-XX)
56 Classical thermodynamics, heat transfer (80-XX)
54 Integral equations (45-XX)
52 Optics, electromagnetic theory (78-XX)
40 Calculus of variations and optimal control; optimization (49-XX)
40 Geophysics (86-XX)
27 Statistical mechanics, structure of matter (82-XX)
24 Probability theory and stochastic processes (60-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Potential theory (31-XX)
10 Approximations and expansions (41-XX)
9 Dynamical systems and ergodic theory (37-XX)
8 Real functions (26-XX)
8 Functional analysis (46-XX)
7 Operator theory (47-XX)
7 Computer science (68-XX)
6 Integral transforms, operational calculus (44-XX)
6 Quantum theory (81-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
3 Special functions (33-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Astronomy and astrophysics (85-XX)
3 Operations research, mathematical programming (90-XX)
2 General and overarching topics; collections (00-XX)
2 Difference and functional equations (39-XX)
1 History and biography (01-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Differential geometry (53-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

Citations contained in zbMATH Open

1,779 Publications have been cited 18,475 times in 12,514 Documents Cited by Year
Variational formulation for the stationary fractional advection dispersion equation. Zbl 1095.65118
Ervin, Vincent J.; Roop, John Paul
380
2006
Simple nonconforming quadrilateral Stokes element. Zbl 0742.76051
Rannacher, R.; Turek, S.
266
1992
Solving nonlinear fractional partial differential equations using the homotopy analysis method. Zbl 1185.65187
Dehghan, Mehdi; Manafian, Jalil; Saadatmandi, Abbas
231
2010
\(H\)-\(p\) clouds – an \(h\)-\(p\) meshless method. Zbl 0869.65069
Duarte, C. Armando; Oden, J. Tinsley
197
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.
181
2003
Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099
Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A.
156
2000
Variational solution of fractional advection dispersion equations on bounded domains in \(\mathbb R^{d}\). Zbl 1117.65169
Ervin, Vincent J.; Roop, John Paul
133
2007
A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions. Zbl 1208.65164
Demkowicz, L.; Gopalakrishnan, J.
124
2011
Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Zbl 1058.76046
Kurganov, Alexander; Tadmor, Eitan
123
2002
On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation. Zbl 1059.65072
Dehghan, Mehdi
118
2005
Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes. Zbl 1314.65151
Mu, Lin; Wang, Junping; Ye, Xiu
107
2014
Contributions to the mathematics of the nonstandard finite difference method and applications. Zbl 0988.65055
Anguelov, Roumen; Lubuma, Jean M.-S.
102
2001
Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations. Zbl 1196.65154
Liao, Honglin; Sun, Zhizhong
102
2010
An immersed finite element space and its approximation capability. Zbl 1057.65085
Li, Z.; Lin, T.; Lin, Y.; Rogers, R. C.
102
2004
A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications. Zbl 1084.65099
Dehghan, Mehdi
89
2006
A numerical method for solving the hyperbolic telegraph equation. Zbl 1145.65078
Dehghan, Mehdi; Shokri, Ali
86
2008
The method of approximate particular solutions for solving certain partial differential equations. Zbl 1242.65267
Chen, C. S.; Fan, C. M.; Wen, P. H.
82
2012
A decoupling method with different subdomain time steps for the nonstationary Stokes-Darcy model. Zbl 1364.76096
Shan, Li; Zheng, Haibiao; Layton, William J.
79
2013
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.
70
2004
Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method. Zbl 1186.65136
Saadatmandi, Abbas; Dehghan, Mehdi
70
2010
Approximation capability of a bilinear immersed finite element space. Zbl 1154.65090
He, Xiaoming; Lin, Tao; Lin, Yanping
69
2008
Finite volume element approximations of nonlocal reactive flows in porous media. Zbl 0961.76050
Ewing, Richard; Lazarov, Raytcho; Lin, Yanping
69
2000
A high-order compact formulation for the 3D Poisson equation. Zbl 0866.65066
Spotz, W. F.; Carey, G. F.
69
1996
Numerical approximation of Riemann-Liouville definition of fractional derivative: from Riemann-Liouville to Atangana-Baleanu. Zbl 1417.65113
Atangana, Abdon; Gómez-aguilar, J. F.
68
2018
Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition. Zbl 1114.65094
Mickens, Ronald E.
67
2007
Virtual element methods for parabolic problems on polygonal meshes. Zbl 1336.65171
Vacca, Giuseppe; Beirão da Veiga, Lourenco
66
2015
Discrete duality finite volume schemes for Leray-Lions-type elliptic problems on general 2D meshes. Zbl 1111.65101
Andreianov, Boris; Boyer, Franck; Hubert, Florence
64
2007
A compact multipoint flux approximation method with improved robustness. Zbl 1230.65114
Aavatsmark, I.; Eigestad, G. T.; Mallison, B. T.; Nordbotten, J. M.
63
2008
ODE solvers and the method of lines. Zbl 0826.65082
Shampine, L. F.
61
1994
Unified finite element discretizations of coupled Darcy-Stokes flow. Zbl 1157.76026
Karper, Trygve; Mardal, Kent-Andre; Winther, Ragnar
60
2009
An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation. Zbl 0990.65101
Mohanty, R. K.; Jain, M. K.
59
2001
Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement. Zbl 1069.65104
Dehghan, Mehdi
58
2005
On the relationship between finite volume and finite element methods applied to the Stokes equations. Zbl 1017.76057
Ye, Xiu
57
2001
High order implicit collocation method for the solution of two-dimensional linear hyperbolic equation. Zbl 1156.65087
Dehghan, Mehdi; Mohebbi, Akbar
57
2009
Extension of high-order compact schemes to time-dependent problems. Zbl 0998.65101
Spotz, W. F.; Carey, G. F.
56
2001
Efficient numerical methods for pricing American options under stochastic volatility. Zbl 1152.91516
Ikonen, Samuli; Toivanen, Jari
55
2008
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.
55
2008
Stabilized Crouzeix-Raviart element for the Darcy-Stokes problem. Zbl 1077.76037
Burman, Erik; Hansbo, Peter
55
2005
A multilevel finite element method in space-time for the Navier-Stokes problem. Zbl 1081.76044
He, Yinnian; Liu, Kam-Moon
54
2005
An unconditionally stable uncoupled scheme for a triphasic Cahn-Hilliard/Navier-Stokes model. Zbl 1364.76091
Minjeaud, Sebastian
53
2013
Finite volume methods on Voronoi meshes. Zbl 0903.65083
Mishev, Ilya D.
52
1998
Compact difference schemes for heat equation with Neumann boundary conditions. Zbl 1181.65115
Sun, Zhi-Zhong
50
2009
Exact solutions to a finite-difference model of a nonlinear reaction- advection equation: Implications for numerical analysis. Zbl 0693.65059
Mickens, Ronald E.
50
1989
Some remarks on Zienkiewicz-Zhu estimator. Zbl 0806.73069
Rodríguez, Rodolfo
49
1994
Domain decomposition for radial basis meshless methods. Zbl 1048.65124
Li, Jichun; Hon, Y. C.
49
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
48
2009
Weak Galerkin finite element methods for parabolic equations. Zbl 1307.65133
Li, Qiaoluan H.; Wang, Junping
48
2013
Trefftz, collocation, and other boundary methods – a comparison. Zbl 1223.65093
Li, Zi-Cai; Lu, Tzon-Tzer; Huang, Hung-Tsai; Cheng, Alexander H.-D.
47
2007
An analysis of the finite element method for natural convection problems. Zbl 0703.76071
Boland, J.; Layton, W.
46
1990
Error estimates for finite volume element methods for general second-order elliptic problems. Zbl 1040.65091
Wu, Haijun; Li, Ronghua
45
2003
Numerical solution of parametrized Navier-Stokes equations by reduced basis methods. Zbl 1178.76238
Quarteroni, Alfio; Rozza, Gianluigi
45
2007
Polynomial particular solutions for certain partial differential operators. Zbl 1019.65096
Golberg, M. A.; Muleshkov, A. S.; Chen, C. S.; Cheng, A. H.-D.
45
2003
High order compact solution of the one-space-dimensional linear hyperbolic equation. Zbl 1151.65071
Mohebbi, Akbar; Dehghan, Mehdi
44
2008
A positivity-preserving nonstandard finite difference scheme for the damped wave equation. Zbl 1062.65086
Mickens, Ronald E.; Jordan, P. M.
44
2004
Convergence analysis of a new mixed finite element method for Biot’s consolidation model. Zbl 1350.74024
Yi, Son-Young
44
2014
Numerical solutions of some parabolic inverse problems. Zbl 0709.65105
Cannon, John R.; Yin, Hong-Ming
44
1990
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
44
2018
Solutions of time-fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space. Zbl 1407.65153
Arqub, Omar Abu
44
2018
A two-grid stabilization method for solving the steady-state Navier-Stokes equations. Zbl 1089.76034
Kaya, Songul; Rivière, Béatrice
43
2006
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.
43
1996
Mixed finite element methods for generalized Forchheimer flow in porous media. Zbl 1141.76425
Park, Eun-Jae
43
2005
Variational multiscale proper orthogonal decomposition: Navier-Stokes equations. Zbl 1452.76048
Iliescu, Traian; Wang, Zhu
43
2014
Immersed finite element methods for parabolic equations with moving interface. Zbl 1266.65165
He, Xiaoming; Lin, Tao; Lin, Yanping; Zhang, Xu
43
2013
The use of Chebyshev cardinal functions for solution of the second-order one-dimensional telegraph equation. Zbl 1169.65102
Dehghan, Mehdi; Lakestani, Mehrdad
42
2009
\(L^p\) error estimates and superconvergence for covolume or finite volume element methods. Zbl 1029.65123
Chou, So-Hsiang; Kwak, Do Y.; Li, Qian
42
2003
A splitting positive definite mixed element method for miscible displacement of compressible flow in porous media. Zbl 1008.76044
Yang, Danping
42
2001
High-order difference schemes for two-dimensional elliptic equations. Zbl 0634.65078
Gupta, Murli M.; Manohar, Ram P.; Stephenson, John W.
42
1985
An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh. Zbl 0822.65085
Herbin, Raphaèle
41
1995
Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws. Zbl 1071.65122
Kurganov, Alexander; Petrova, Guergana
41
2005
Finite difference discretization of the Benjamin-Bona-Mahony-Burgers equation. Zbl 1133.65067
Omrani, Khaled; Ayadi, Mekki
41
2008
Ill-conditioning in the virtual element method: stabilizations and bases. Zbl 1407.65294
Mascotto, Lorenzo
41
2018
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.
40
2011
A numerical method for one-dimensional nonlinear sine-Gordon equation using collocation and radial basis functions. Zbl 1135.65380
Dehghan, M.; Shokri, Ali
40
2008
On the convergence of the multi-point flux approximation O-method: numerical experiments for discontinuous permeability. Zbl 1089.76037
Eigestad, G. T.; Klausen, R. A.
40
2005
Determination of a control function in three-dimensional parabolic equations by Legendre pseudospectral method. Zbl 1252.65161
Shamsi, M.; Dehghan, Mehdi
40
2012
Trefftz method: A general theory. Zbl 0978.65114
Herrera, Ismael
39
2000
Convergence of multipoint flux approximations on quadrilateral grids. Zbl 1106.76043
Klausen, Runhild A.; Winther, Ragnar
39
2006
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
39
2015
Nonstandard finite difference schemes for reaction-diffusion equations. Zbl 0926.65085
Mickens, Ronald E.
38
1999
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.
38
1998
Numerical methods for structured population models: The escalator boxcar train. Zbl 0658.92016
de Roos, A. M.
38
1988
The numerical solution of the second Painlevé equation. Zbl 1172.65037
Dehghan, Mehdi; Shakeri, Fatemeh
37
2009
A two-grid method for mixed finite-element solution of reaction-diffusion equations. Zbl 0929.65079
Wu, Li; Allen, Myron B. III
37
1999
An efficient high-order algorithm for solving systems of reaction-diffusion equations. Zbl 0997.65105
Liao, Wenyuan; Zhu, Jianping; Khaliq, Abdul Q. M.
37
2002
Application of a Mickens finite-difference scheme to the cylindrical Bratu-Gelfand problem. Zbl 1048.65102
Buckmire, Ron
37
2004
The convergence of the bilinear and linear immersed finite element solutions to interface problems. Zbl 1241.65090
He, Xiaoming; Lin, Tao; Lin, Yanping
37
2012
A Jacobi spectral Galerkin method for the integrated forms of fourth-order elliptic differential equations. Zbl 1170.65099
Doha, Eid H.; Bhrawy, Ali H.
36
2009
Numerical solution of the one-dimensional wave equation with an integral condition. Zbl 1112.65097
Saadatmandi, Abbas; Dehghan, Mehdi
36
2007
Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem. Zbl 1381.76158
Colmenares, Eligio; Gatica, Gabriel N.; Oyarzúa, Ricardo
36
2016
Some temporal second order difference schemes for fractional wave equations. Zbl 1352.65269
Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua
36
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
36
2018
Mixed finite element methods for incompressible flow: stationary Stokes equations. Zbl 1267.76059
Cai, Zhiqiang; Tong, Charles; Vassilevski, Panayot S.; Wang, Chunbo
36
2010
Modified methods of fundamental solutions for harmonic and biharmonic problems with boundary singularities. Zbl 0760.65103
Karageorghis, Andreas
35
1992
The boundary integral equation approach for numerical solution of the one-dimensional sine-Gordon equation. Zbl 1153.65099
Dehghan, Mehdi; Mirzaei, Davoud
35
2008
Legendre wavelet method for numerical solutions of partial differential equations. Zbl 1186.65152
Liu, Nanshan; Lin, En-Bing
35
2010
A meshless method using the radial basis functions for numerical solution of the regularized long wave equation. Zbl 1195.65142
Shokri, Ali; Dehghan, Mehdi
35
2010
Investigations of nonstandard, Mickens-type, finite difference schemes for singular boundary value problems in cylindrical or spherical coordinates. Zbl 1079.76048
Buckmire, Ron
34
2003
A finite difference scheme for solving the heat transport equation at the microscale. Zbl 0945.65096
Dai, Weizhong; Nassar, Raja
34
1999
A posteriori error estimators for a two-level finite element method for the Navier-Stokes equations. Zbl 0852.76039
Ervin, V.; Layton, W.; Maubach, J.
34
1996
Symbolic derivation of finite difference approximations for the three-dimensional Poisson equation. Zbl 0926.65103
Gupta, Murli M.; Kouatchou, Jules
34
1998
Fast high order difference schemes for the time fractional telegraph equation. Zbl 1452.65164
Liang, Yuxiang; Yao, Zhongsheng; Wang, Zhibo
11
2020
A reduced-order extrapolated Crank-Nicolson collocation spectral method based on proper orthogonal decomposition for the two-dimensional viscoelastic wave equations. Zbl 1457.65146
Luo, Zhendong; Jin, Shiju
10
2020
A fully conservative block-centered finite difference method for Darcy-Forchheimer incompressible miscible displacement problem. Zbl 1451.76083
Li, Xiaoli; Rui, Hongxing
5
2020
Convergence and stability estimates in difference setting for time-fractional parabolic equations with functional delay. Zbl 1452.65159
Hendy, Ahmed S.; Pimenov, Vladimir G.; Macías-Díaz, Jorge E.
5
2020
Stokes equations under nonlinear slip boundary conditions coupled with the heat equation: a priori error analysis. Zbl 1452.65331
Djoko, Jules K.; Konlack, Virginie S.; Mbehou, Mohamed
2
2020
\(H^1\)-superconvergence of finite difference method based on \(Q_1\)-element on quasi-uniform mesh for the 3D Poisson equation. Zbl 1450.65137
Feng, Xinlong; He, Ruijian; Chen, Zhangxin
1
2020
Convergence of a positive nonlinear control volume finite element scheme for an anisotropic seawater intrusion model with sharp interfaces. Zbl 1452.65246
Oulhaj, Ahmed Ait Hammou; Maltese, David
1
2020
Staggered Taylor-Hood and Fortin elements for Stokes equations of pressure boundary conditions in Lipschitz domain. Zbl 1450.65145
Du, Zhijie; Duan, Huoyuan; Liu, Wei
1
2020
An efficient difference scheme for the coupled nonlinear fractional Ginzburg-Landau equations with the fractional Laplacian. Zbl 1419.65024
Li, Meng; Huang, Chengming
20
2019
A numerical scheme based on Bernoulli wavelets and collocation method for solving fractional partial differential equations with Dirichlet boundary conditions. Zbl 1415.65237
Rahimkhani, Parisa; Ordokhani, Yadollah
19
2019
Convergence analysis of virtual element methods for semilinear parabolic problems on polygonal meshes. Zbl 1419.65040
Adak, Dibyendu; Natarajan, E.; Kumar, Sarvesh
17
2019
Approximation capabilities of immersed finite element spaces for elasticity interface problems. Zbl 1418.65174
Guo, Ruchi; Lin, Tao; Lin, Yanping
11
2019
A numerical approach for solving weakly singular partial integro-differential equations via two-dimensional-orthonormal Bernstein polynomials with the convergence analysis. Zbl 1418.65145
Mirzaee, Farshid; Alipour, Sahar; Samadyar, Nasrin
9
2019
Spectral collocation methods for nonlinear weakly singular Volterra integro-differential equations. Zbl 1416.65236
Shi, Xiulian; Wei, Yunxia; Huang, Fenglin
8
2019
Reconstructing unknown nonlinear boundary conditions in a time-fractional inverse reaction-diffusion-convection problem. Zbl 1418.65120
Babaei, Afshin; Banihashemi, Seddigheh
8
2019
Numerical solution of nonlinear partial quadratic integro-differential equations of fractional order via hybrid of block-pulse and parabolic functions. Zbl 1418.65152
Mirzaee, Farshid; Alipour, Sahar
8
2019
The method of fundamental solutions for the Oseen steady-state viscous flow past obstacles of known or unknown shapes. Zbl 1430.76390
Karageorghis, Andreas; Lesnic, Daniel
7
2019
Numerical study of a conservative weighted compact difference scheme for the symmetric regularized long wave equations. Zbl 1416.76185
Li, Shuguang
7
2019
A DGFEM for nondivergence form elliptic equations with cordes coefficients on curved domains. Zbl 1425.65163
Kawecki, Ellya L.
7
2019
High-order local discontinuous Galerkin method for a fractal mobile/immobile transport equation with the Caputo-Fabrizio fractional derivative. Zbl 1416.82040
Zhang, Min; Liu, Yang; Li, Hong
7
2019
Transcendental Bernstein series for solving reaction-diffusion equations with nonlocal boundary conditions through the optimization technique. Zbl 1431.65184
Avazzadeh, Zakieh; Hassani, Hossein
6
2019
High-order characteristic-tracking strategy for simulation of a nonlinear advection-diffusion equation. Zbl 1425.65099
Bak, Soyoon
6
2019
A linear, decoupled fractional time-stepping method for the nonlinear fluid-fluid interaction. Zbl 1423.76253
Li, Jian; Huang, Pengzhan; Zhang, Chong; Guo, Gaihui
6
2019
A finite element approach for analysis and computational modelling of coupled reaction diffusion models. Zbl 1418.65138
Yadav, Om Prakash; Jiwari, Ram
6
2019
Maximum norm error analysis of an unconditionally stable semi-implicit scheme for multi-dimensional Allen-Cahn equations. Zbl 1418.65099
He, Dongdong; Pan, Kejia
6
2019
Fractional Crank-Nicolson-Galerkin finite element scheme for the time-fractional nonlinear diffusion equation. Zbl 1431.65133
Kumar, Dileep; Chaudhary, Sudhakar; Kumar, V. V. K. Srinivas
5
2019
Uniformly convergent novel finite difference methods for singularly perturbed reaction-diffusion equations. Zbl 1431.65198
He, Xuefei; Wang, Kun
5
2019
Numerical approximation of the generalized regularized long wave equation using Petrov-Galerkin finite element method. Zbl 1431.65169
Bhowmik, Samir Kumar; Karakoc, Seydi B. G.
5
2019
On the numerical approximation of \(p\)-biharmonic and \(\infty\)-biharmonic functions. Zbl 1419.65113
Katzourakis, Nikos; Pryer, Tristan
5
2019
A novel variable-order fractional nonlinear Klein Gordon model: a numerical approach. Zbl 1425.65091
Sweilam, Nasser H.; Al-mekhlafi, Seham M.; Albalawi, Anan O.
5
2019
Patch-Wise local projection stabilized finite element methods for convection-diffusion-reaction problems. Zbl 1418.65171
Dond, Asha K.; Gudi, Thirupathi
5
2019
Quasi-Toeplitz splitting iteration methods for unsteady space-fractional diffusion equations. Zbl 1418.65097
Dai, Ping-fei; Wu, Qing-Biao; Zhu, Sheng-Feng
5
2019
A Crank-Nicolson collocation spectral method for the two-dimensional viscoelastic wave equation. Zbl 1418.76037
Jin, Shiju; Luo, Zhendong
5
2019
Superconvergence of the direct discontinuous Galerkin method for a time-fractional initial-boundary value problem. Zbl 1431.65216
Huang, Chaobao; Stynes, Martin
4
2019
Optimal estimates on stabilized finite volume methods for the incompressible Navier-Stokes model in three dimensions. Zbl 1419.65039
Li, Jian; Lin, Xiaolin; Zhao, Xin
4
2019
Finite difference schemes for the two-dimensional semilinear wave equation. Zbl 1419.65008
Achouri, Talha
4
2019
Partitioned penalty methods for the transport equation in the evolutionary Stokes-Darcy-transport problem. Zbl 1419.76437
Ervin, V.; Kubacki, M.; Layton, W.; Moraiti, M.; Si, Z.; Trenchea, C.
4
2019
Preconditioning trace coupled \(3d-1d\) systems using fractional Laplacian. Zbl 1437.65014
Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael
4
2019
A steady barycentric Lagrange interpolation method for the 2D higher-order time-fractional telegraph equation with nonlocal boundary condition with error analysis. Zbl 1425.65126
Yi, Shi-Chao; Yao, Lin-Quan
4
2019
Extension of a simplified Baldwin-Lomax model to nonequilibrium turbulence: model, analysis and algorithms. Zbl 1423.76271
Rong, Yao; Layton, William; Zhao, Haiyun
4
2019
Numerical scheme for solving system of fractional partial differential equations with Volterra-type integral term through two-dimensional block-pulse functions. Zbl 1425.65214
Xie, Jiaquan; Ren, Zhongkai; Li, Yugui; Wang, Xiaogang; Wang, Tao
4
2019
Development of a \({P}_2\) element with optimal \({L}^2\) convergence for biharmonic equation. Zbl 1418.65181
Mu, Lin; Ye, Xiu; Zhang, Shangyou
4
2019
Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn-Hilliard equation. Zbl 1418.65134
Liu, Chen; Frank, Florian; Rivière, Béatrice M.
4
2019
Operator splitting for numerical solution of the modified Burgers’ equation using finite element method. Zbl 1418.65148
Uçar, Yusuf; Yağmurlu, Nuri M.; Çelikkaya, İhsan
4
2019
Finite-volume scheme for a degenerate cross-diffusion model motivated from ion transport. Zbl 1418.65157
Cancès, Clément; Chainais-Hillairet, Claire; Gerstenmayer, Anita; Jüngel, Ansgar
4
2019
Local and parallel finite element method for solving the biharmonic eigenvalue problem of plate vibration. Zbl 1416.74093
Zhao, Ruilin; Yang, Yidu; Bi, Hai
4
2019
Analytical and numerical solutions of a two-dimensional multi-term time-fractional Oldroyd-B model. Zbl 1418.76039
Zhang, Jinghua; Liu, Fawang; Anh, Vo V.
4
2019
A fully discrete spectral method for fractional Cattaneo equation based on Caputo-Fabrizo derivative. Zbl 1418.65104
Li, Haonan; Lü, Shujuan; Xu, Tao
4
2019
Superconvergence analysis of finite element method for Poisson-Nernst-Planck equations. Zbl 1418.65137
Shi, Dongyang; Yang, Huaijun
4
2019
Analysis of the operator splitting scheme for the Cahn-Hilliard equation with a viscosity term. Zbl 1430.35201
Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong
3
2019
A parareal approach of semi-linear parabolic equations based on general waveform relaxation. Zbl 1431.65135
Li, Jun; Jiang, Yao-lin; Miao, Zhen
3
2019
A fitted numerical method for parabolic turning point singularly perturbed problems with an interior layer. Zbl 1431.65136
Munyakazi, Justin B.; Patidar, Kailash C.; Sayi, Mbani T.
3
2019
Decoupled characteristic stabilized finite element method for time-dependent Navier-Stokes/Darcy model. Zbl 1419.65064
Jia, Xiaofeng; Li, Jichun; Jia, Hongen
3
2019
Unconditional superconvergent analysis of a new mixed finite element method for Ginzburg-Landau equation. Zbl 1419.65042
Shi, Dongyang; Liu, Qian
3
2019
Weak Galerkin finite element methods for a fourth order parabolic equation. Zbl 1425.65107
Chai, Shimin; Zou, Yongkui; Zhou, Chenguang; Zhao, Wenju
3
2019
New a priori analysis of first-order system least-squares finite element methods for parabolic problems. Zbl 1425.65097
Führer, Thomas; Karkulik, Michael
3
2019
Spectrally accurate energy-preserving methods for the numerical solution of the “good” Boussinesq equation. Zbl 1418.65117
Brugnano, Luigi; Gurioli, Gianmarco; Zhang, Chengjian
3
2019
A second-order finite difference method for fractional diffusion equation with Dirichlet and fractional boundary conditions. Zbl 1416.65285
Xie, Changping; Fang, Shaomei
3
2019
A boundary element approach for solving plane elastostatic equations of anisotropic functionally graded materials. Zbl 1416.74095
Ang, Whye-Teong
3
2019
An \({h}\)-\({p}\) version of the Chebyshev spectral collocation method for nonlinear delay differential equations. Zbl 1416.65179
Meng, Tingting; Wang, Zhongqing; Yi, Lijun
3
2019
Discontinuous Galerkin method for solving the black-oil problem in porous media. Zbl 1416.76097
Cappanera, Loïc; Rivière, Béatrice
3
2019
Energy stable numerical scheme for the viscous Cahn-Hilliard-Navier-Stokes equations with moving contact line. Zbl 1418.65124
Cherfils, Laurence; Petcu, Madalina
3
2019
Numerical scheme with convergence for a generalized time-fractional telegraph-type equation. Zbl 1418.65102
Kumar, Kamlesh; Pandey, Rajesh K.; Sharma, Shiva; Xu, Yufeng
3
2019
A numerical scheme for a kinetic model for mixtures in the diffusive limit using the moment method. Zbl 1418.65119
Bondesan, Andrea; Boudin, Laurent; Grec, Bérénice
3
2019
Adaptive operator splitting finite element method for Allen-Cahn equation. Zbl 1418.65132
Huang, Yunqing; Yang, Wei; Wang, Hao; Cui, Jintao
3
2019
Determination of unknown functions in a mathematical model of ductal carcinoma in situ. Zbl 1430.35231
Garshasbi, Morteza
2
2019
Fundamental solutions and asymptotic numerical methods for bifurcation analysis of nonlinear bi-harmonic problems. Zbl 1431.65232
Tri, Abdeljalil; Askour, Omar; Braikat, Bouazza; Zahrouni, Hamid; Potier-ferry, Michel
2
2019
New approach to the Lax-Wendroff modified differential equation for linear and nonlinear advection. Zbl 1431.65138
Winnicki, Ireneusz; Jasinski, Janusz; Pietrek, Slawomir
2
2019
A numerical method for a nonlinear structured population model with an indefinite growth rate coupled with the environment. Zbl 1431.65129
Ackleh, Azmy S.; Miller, Robert L.
2
2019
An invariant-region-preserving limiter for DG schemes to isentropic Euler equations. Zbl 1416.76153
Jiang, Yi; Liu, Hailiang
2
2019
Least-square collocation and Lagrange multipliers for Taylor meshless method. Zbl 1419.65134
Yang, Jie; Hu, Heng; Potier-Ferry, Michel
2
2019
A mixed \(hp\) FEM for the approximation of fourth-order singularly perturbed problems on smooth domains. Zbl 1462.65182
Constantinou, P.; Franz, S.; Ludwig, L.; Xenophontos, C.
2
2019
Analysis of the immersed boundary method for a finite element Stokes problem. Zbl 1419.65121
Saito, Norikazu; Sugitani, Yoshiki
2
2019
An upwind center difference parallel method and numerical analysis for the displacement problem with moving boundary. Zbl 1423.76314
Li, Changfeng; Yuan, Yirang
2
2019
Two grid finite element discretization method for semi-linear hyperbolic integro-differential equations. Zbl 1425.65102
Chen, Luoping; Chen, Yanping; Huang, Yunqing
2
2019
The finite volume method based on the Crouzeix-Raviart element for a fracture model. Zbl 1423.76293
Chen, Shuangshuang; Li, Xiaoli; Rui, Hongxing
2
2019
Numerical solution of the Rosenau-KdV-RLW equation by operator splitting techniques based on B-spline collocation method. Zbl 1425.65125
Özer, Sibel
2
2019
Conservative finite difference methods for fractional Schrödinger-Boussinesq equations and convergence analysis. Zbl 1418.65103
Liao, Feng; Zhang, Luming; Hu, Xiuling
2
2019
A fast second-order difference scheme for the space-time fractional equation. Zbl 1418.65109
Xu, Weiyan; Sun, Hong
2
2019
Time evolution of discrete fourth-order elliptic operators. Zbl 1418.65096
Ben-Artzi, Matania; Croisille, Jean-Pierre; Fishelov, Dalia
2
2019
Energy conservation and super convergence analysis of the EC-S-FDTD schemes for Maxwell equations with periodic boundaries. Zbl 1416.78033
Gao, Liping; Cao, Minmin; Shi, Rengang; Guo, Hui
2
2019
Stability and convergence of the mark and cell finite difference scheme for Darcy-Stokes-Brinkman equations on non-uniform grids. Zbl 1416.76191
Sun, Yue; Rui, Hongxing
2
2019
Vorticity-Pressure formulations for the Brinkman-Darcy coupled problem. Zbl 1416.76092
Anaya, Verónica; Mora, David; Reales, Carlos; Ruiz-Baier, Ricardo
2
2019
A variable nonlinear splitting algorithm for reaction diffusion systems with self- and cross- diffusion. Zbl 1418.65095
Beauregard, Matthew A.; Padgett, Joshua L.
2
2019
Nonconforming mixed finite elements for linear elasticity on simplicial grids. Zbl 1416.74086
Hu, Jun; Ma, Rui
2
2019
An analysis of the Robert-Asselin time filter for the correction of nonphysical acoustics in an artificial compression method. Zbl 1418.76031
Decaria, Victor; Layton, William; Mclaughlin, Michael
2
2019
The local ultraconvergence of high-order finite element method for second-order elliptic problems with constant coefficients over a rectangular partition. Zbl 1431.65215
He, Wen-ming
1
2019
A correction method for finding lower bounds of eigenvalues of the second-order elliptic and Stokes operators. Zbl 1431.65210
Zhang, Yu; Yang, Yidu
1
2019
A partially penalized \(P_1/CR\) immersed finite element method for planar elasticity interface problems. Zbl 1430.74137
Liu, Angran; Chen, Jinru
1
2019
Unconditionally stable modified methods for the solution of two- and three-dimensional telegraphic equation with Robin boundary conditions. Zbl 1419.65031
Singh, Swarn; Singh, Suruchi; Lin, Ping; Arora, Rajni
1
2019
A posteriori error analysis of an augmented fully mixed formulation for the nonisothermal Oldroyd-Stokes problem. Zbl 1419.76435
Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo
1
2019
An adaptive finite element method for a time-dependent Stokes problem. Zbl 1419.65072
Torres, Ricardo Prato; Domínguez, Catalina; Díaz, Stiven
1
2019
Numerical approximation of a concrete carbonation model: study of the \(\sqrt{t}\)-law of propagation. Zbl 1423.80029
Zurek, Antoine
1
2019
On entropy stable schemes for degenerate parabolic multispecies kinematic flow models. Zbl 1425.65085
Bürger, Raimund; Méndez, Paul E.; Parés, Carlos
1
2019
Stabilized multiphysics finite element method with Crank-Nicolson scheme for a poroelasticity model. Zbl 1418.65127
Ge, Zhihao; He, Yanan; Li, Tingting
1
2019
High-order asymptotic-preserving schemes for linear systems: application to the Goldstein-Taylor equations. Zbl 1418.65112
Chalons, Christophe; Turpault, Rodolphe
1
2019
A fourth-order \({H}^1\)-Galerkin mixed finite element method for Kuramoto-Sivashinsky equation. Zbl 1418.65126
Doss, L. Jones Tarcius; Nandini, A. P.
1
2019
A study on a second order finite difference scheme for fractional advection-diffusion equations. Zbl 1418.65107
Vong, Seakweng; Shi, Chenyang; Lyu, Pin
1
2019
Robust residual- and recovery-based a posteriori error estimators for a multipoint flux mixed finite element discretization of interface problems. Zbl 1418.65172
Du, Shaohong; Xie, Xiaoping; Cheng, Pan
1
2019
Complete flux scheme for parabolic singularly perturbed differential-difference equations. Zbl 1418.65113
Kumar, Sunil; Kumar, Bayya Venkatesulu Rathish; ten Thije Boonkkamp, Johannes Hendrikus Maria
1
2019
...and 1657 more Documents
all top 5

Cited by 12,183 Authors

261 Dehghan Takht Fooladi, Mehdi
96 He, Yinnian
85 Shi, Dongyang
74 Wang, Hong
72 Gatica, Gabriel N.
72 Huang, Yunqing
72 Mohanty, Ranjan Kumar
61 Zhang, Zhimin
59 Băleanu, Dumitru I.
57 Abbaszadeh, Mostafa
57 Sun, Zhizhong
55 Feng, Xinlong
53 Chen, Yanping
53 Li, Jichun
53 Rui, Hongxing
52 Chen, Zhangxin
51 Li, Hong
50 Rebholz, Leo G.
49 Li, Jian
48 Macías-Díaz, Jorge Eduardo
47 Hou, Yanren
45 Ye, Xiu
44 Ruiz-Baier, Ricardo
43 Huang, Pengzhan
43 Li, Zi-Cai
42 Liu, Fawang
42 Liu, Yang
42 Xu, Da
40 Demkowicz, Leszek F.
39 Heuer, Norbert
39 Wang, Cheng
39 Yang, Xiaofeng
38 Bhrawy, Ali Hassan
37 Chen, Ching-Shyang
37 Khaliq, Abdul Q. M.
37 Yuan, Guangwei
35 He, Xiaoming
35 Lin, Tao
35 Zhang, Jun
34 Bürger, Raimund
34 Dai, Weizhong
34 Mohebbi, Akbar
34 Zhang, Shangyou
34 Zhang, Zhiyue
33 Karageorghis, Andreas
33 Oyarzúa, Ricardo
32 Babuška, Ivo
32 Führer, Thomas
32 Layton, William J.
32 Liu, Chein-Shan
32 Yıldırım, Ahmet
31 Li, Xiaolin
31 Mei, Liquan
31 Quarteroni, Alfio M.
31 Rozza, Gianluigi
31 Wang, Yuanming
30 Chen, Chuanjun
30 Li, Xiaoli
30 Omrani, Khaled
30 Zhang, Luming
29 Luo, Zhendong
29 Manafian Heris, Jalil
29 Pani, Amiya Kumar
28 Carstensen, Carsten
28 Lubuma, Jean Mbaro-Saman
28 Shang, Yueqiang
27 Arqub, Omar Abu
27 Feng, Minfu
27 Mu, Lin
26 Doha, Eid H.
26 Fu, Hongfei
26 Li, Zhilin
26 Lin, Ji
26 Sun, Weiwei
25 Abbasbandy, Saeid
25 Antonietti, Paola Francesca
25 Herbin, Raphaèle
25 Huang, Hung-Tsai
25 Kurganov, Alexander
25 Mickens, Ronald Elbert
25 Nicaise, Serge
25 Sezer, Mehmet
24 John, Volker
24 Lakestani, Mehrdad
24 Lin, Yanping
24 Parand, Kourosh
24 Yang, Danping
24 Yüzbaşı, Şuayip
24 Zheng, Haibiao
23 Atangana, Abdon
23 Di Pietro, Daniele Antonio
23 Kwak, Do Young
23 Momani, Shaher M.
23 Turner, Ian William
23 Xu, Jinchao
23 Zheng, Xiangcheng
22 Chen, Wenbin
22 Droniou, Jérôme
22 Heydari, Mohammad Hossien
22 Jafari, Hossein
...and 12,083 more Authors
all top 5

Cited in 522 Journals

776 Computers & Mathematics with Applications
751 Journal of Computational and Applied Mathematics
727 Applied Mathematics and Computation
647 Journal of Computational Physics
606 Computer Methods in Applied Mechanics and Engineering
559 Applied Numerical Mathematics
505 Journal of Scientific Computing
471 Numerical Methods for Partial Differential Equations
380 Engineering Analysis with Boundary Elements
296 International Journal of Computer Mathematics
203 Numerische Mathematik
180 Numerical Algorithms
177 Applied Mathematical Modelling
173 Mathematics of Computation
161 SIAM Journal on Numerical Analysis
155 Mathematics and Computers in Simulation
154 Advances in Difference Equations
143 Computational and Applied Mathematics
140 Advances in Computational Mathematics
129 Journal of Mathematical Analysis and Applications
129 SIAM Journal on Scientific Computing
126 International Journal for Numerical Methods in Engineering
118 Computers and Fluids
117 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
114 Mathematical Methods in the Applied Sciences
111 Applied Mathematics Letters
110 Advances in Applied Mathematics and Mechanics
93 Mathematical Problems in Engineering
90 International Journal of Applied and Computational Mathematics
86 Abstract and Applied Analysis
83 Chaos, Solitons and Fractals
83 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
80 Computational Mechanics
80 Communications in Nonlinear Science and Numerical Simulation
75 Calcolo
73 International Journal for Numerical Methods in Fluids
66 Journal of Difference Equations and Applications
65 Computational Methods in Applied Mathematics
65 Journal of Applied Mathematics and Computing
64 Applicable Analysis
62 Communications in Computational Physics
59 Computer Physics Communications
57 Computational Geosciences
56 International Journal of Computational Methods
56 International Journal of Numerical Analysis and Modeling
51 Journal of Function Spaces
50 BIT
49 Mathematical and Computer Modelling
47 International Journal of Numerical Methods for Heat & Fluid Flow
44 Numerical Functional Analysis and Optimization
44 Boundary Value Problems
41 Discrete and Continuous Dynamical Systems. Series B
41 Advances in Mathematical Physics
40 Applications of Mathematics
37 Communications in Numerical Methods in Engineering
35 Journal of Numerical Mathematics
34 Inverse Problems in Science and Engineering
33 Physica A
33 Discrete Dynamics in Nature and Society
33 Science China. Mathematics
33 East Asian Journal on Applied Mathematics
32 Journal of Applied Mathematics
32 Computational Methods for Differential Equations
32 AIMS Mathematics
30 Fractals
29 Applied Mathematics and Mechanics. (English Edition)
29 Communications on Applied Mathematics and Computation
28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
27 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
25 Computing
25 International Journal of Nonlinear Sciences and Numerical Simulation
25 Discrete and Continuous Dynamical Systems. Series S
24 Fractional Calculus & Applied Analysis
24 Electronic Research Archive
23 Journal of Mathematical Chemistry
23 Nonlinear Dynamics
20 Wave Motion
20 Acta Mathematicae Applicatae Sinica. English Series
20 International Journal of Differential Equations
19 Differential Equations and Dynamical Systems
19 Comptes Rendus. Mathématique. Académie des Sciences, Paris
19 Mathematical Sciences
18 Acta Mechanica
18 Journal of Fluid Mechanics
18 Numerical Linear Algebra with Applications
18 Filomat
18 Mediterranean Journal of Mathematics
17 Journal of Engineering Mathematics
17 Nonlinear Analysis. Real World Applications
17 Advances in Numerical Analysis
17 International Journal for Numerical Methods in Biomedical Engineering
17 AMM. Applied Mathematics and Mechanics. (English Edition)
16 Journal of Mathematical Physics
16 Journal of Differential Equations
16 Physica D
16 Multiscale Modeling & Simulation
16 Journal of Nonlinear Science and Applications
16 Journal of Applied Analysis and Computation
15 International Journal of Computational Fluid Dynamics
15 Engineering Computations
...and 422 more Journals
all top 5

Cited in 56 Fields

9,956 Numerical analysis (65-XX)
6,016 Partial differential equations (35-XX)
3,191 Fluid mechanics (76-XX)
1,166 Mechanics of deformable solids (74-XX)
721 Ordinary differential equations (34-XX)
535 Biology and other natural sciences (92-XX)
424 Real functions (26-XX)
370 Integral equations (45-XX)
325 Optics, electromagnetic theory (78-XX)
312 Calculus of variations and optimal control; optimization (49-XX)
311 Classical thermodynamics, heat transfer (80-XX)
266 Statistical mechanics, structure of matter (82-XX)
219 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
204 Probability theory and stochastic processes (60-XX)
177 Approximations and expansions (41-XX)
148 Dynamical systems and ergodic theory (37-XX)
139 Geophysics (86-XX)
107 Systems theory; control (93-XX)
102 Special functions (33-XX)
102 Operator theory (47-XX)
91 Computer science (68-XX)
75 Quantum theory (81-XX)
73 Harmonic analysis on Euclidean spaces (42-XX)
72 Operations research, mathematical programming (90-XX)
63 Functional analysis (46-XX)
59 Global analysis, analysis on manifolds (58-XX)
58 Difference and functional equations (39-XX)
49 Potential theory (31-XX)
45 Integral transforms, operational calculus (44-XX)
44 Linear and multilinear algebra; matrix theory (15-XX)
41 Statistics (62-XX)
40 Information and communication theory, circuits (94-XX)
28 Mechanics of particles and systems (70-XX)
19 Functions of a complex variable (30-XX)
16 Number theory (11-XX)
16 Differential geometry (53-XX)
15 History and biography (01-XX)
14 General and overarching topics; collections (00-XX)
11 Astronomy and astrophysics (85-XX)
10 Measure and integration (28-XX)
7 Relativity and gravitational theory (83-XX)
7 Mathematics education (97-XX)
6 Combinatorics (05-XX)
5 Geometry (51-XX)
5 Convex and discrete geometry (52-XX)
4 Mathematical logic and foundations (03-XX)
3 Several complex variables and analytic spaces (32-XX)
2 Field theory and polynomials (12-XX)
2 Group theory and generalizations (20-XX)
2 Algebraic topology (55-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Sequences, series, summability (40-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)

Citations by Year