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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: 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.
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...and 88 more Volumes
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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 Ganji, Davood Domiri
14 Rui, Hongxing
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
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 Ye, Xiu
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 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 Karageorghis, Andreas
6 Kwak, Do Young
6 Lazarov, Raytcho D.
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 Jafari, Hossein
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
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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

1,723 Publications have been cited 15,746 times in 10,624 Documents Cited by Year
Variational formulation for the stationary fractional advection dispersion equation. Zbl 1095.65118
Ervin, Vincent J.; Roop, John Paul
331
2006
Simple nonconforming quadrilateral Stokes element. Zbl 0742.76051
Rannacher, R.; Turek, S.
245
1992
\(H\)-\(p\) clouds – an \(h\)-\(p\) meshless method. Zbl 0869.65069
Duarte, C. Armando; Oden, J. Tinsley
186
1996
Solving nonlinear fractional partial differential equations using the homotopy analysis method. Zbl 1185.65187
Dehghan, Mehdi; Manafian, Jalil; Saadatmandi, Abbas
175
2010
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.
172
2003
Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099
Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A.
138
2000
Variational solution of fractional advection dispersion equations on bounded domains in \(\mathbb R^{d}\). Zbl 1117.65169
Ervin, Vincent J.; Roop, John Paul
114
2007
On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation. Zbl 1059.65072
Dehghan, Mehdi
109
2005
Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Zbl 1058.76046
Kurganov, Alexander; Tadmor, Eitan
102
2002
A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions. Zbl 1208.65164
Demkowicz, L.; Gopalakrishnan, J.
100
2011
Contributions to the mathematics of the nonstandard finite difference method and applications. Zbl 0988.65055
Anguelov, Roumen; Lubuma, Jean M.-S.
87
2001
Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations. Zbl 1196.65154
Liao, Honglin; Sun, Zhizhong
86
2010
An immersed finite element space and its approximation capability. Zbl 1057.65085
Li, Z.; Lin, T.; Lin, Y.; Rogers, R. C.
79
2004
A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications. Zbl 1084.65099
Dehghan, Mehdi
77
2006
Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes. Zbl 1314.65151
Mu, Lin; Wang, Junping; Ye, Xiu
76
2014
A numerical method for solving the hyperbolic telegraph equation. Zbl 1145.65078
Dehghan, Mehdi; Shokri, Ali
74
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.
72
2012
A high-order compact formulation for the 3D Poisson equation. Zbl 0866.65066
Spotz, W. F.; Carey, G. F.
64
1996
Finite volume element approximations of nonlocal reactive flows in porous media. Zbl 0961.76050
Ewing, Richard; Lazarov, Raytcho; Lin, Yanping
62
2000
Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method. Zbl 1186.65136
Saadatmandi, Abbas; Dehghan, Mehdi
61
2010
ODE solvers and the method of lines. Zbl 0826.65082
Shampine, L. F.
60
1994
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.
60
2004
Approximation capability of a bilinear immersed finite element space. Zbl 1154.65090
He, Xiaoming; Lin, Tao; Lin, Yanping
60
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.
59
2013
A compact multipoint flux approximation method with improved robustness. Zbl 1230.65114
Aavatsmark, I.; Eigestad, G. T.; Mallison, B. T.; Nordbotten, J. M.
59
2008
Discrete duality finite volume schemes for Leray-Lions-type elliptic problems on general 2D meshes. Zbl 1111.65101
Andreianov, Boris; Boyer, Franck; Hubert, Florence
54
2007
Extension of high-order compact schemes to time-dependent problems. Zbl 0998.65101
Spotz, W. F.; Carey, G. F.
54
2001
An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation. Zbl 0990.65101
Mohanty, R. K.; Jain, M. K.
54
2001
Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement. Zbl 1069.65104
Dehghan, Mehdi
52
2005
On the relationship between finite volume and finite element methods applied to the Stokes equations. Zbl 1017.76057
Ye, Xiu
52
2001
Unified finite element discretizations of coupled Darcy-Stokes flow. Zbl 1157.76026
Karper, Trygve; Mardal, Kent-Andre; Winther, Ragnar
50
2009
Efficient numerical methods for pricing American options under stochastic volatility. Zbl 1152.91516
Ikonen, Samuli; Toivanen, Jari
50
2008
A multilevel finite element method in space-time for the Navier-Stokes problem. Zbl 1081.76044
He, Yinnian; Liu, Kam-Moon
49
2005
Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition. Zbl 1114.65094
Mickens, Ronald E.
49
2007
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.
49
2008
High order implicit collocation method for the solution of two-dimensional linear hyperbolic equation. Zbl 1156.65087
Dehghan, Mehdi; Mohebbi, Akbar
48
2009
Finite volume methods on Voronoi meshes. Zbl 0903.65083
Mishev, Ilya D.
47
1998
Some remarks on Zienkiewicz-Zhu estimator. Zbl 0806.73069
Rodríguez, Rodolfo
47
1994
Domain decomposition for radial basis meshless methods. Zbl 1048.65124
Li, Jichun; Hon, Y. C.
47
2004
Trefftz, collocation, and other boundary methods – a comparison. Zbl 1223.65093
Li, Zi-Cai; Lu, Tzon-Tzer; Huang, Hung-Tsai; Cheng, Alexander H.-D.
46
2007
Stabilized Crouzeix-Raviart element for the Darcy-Stokes problem. Zbl 1077.76037
Burman, Erik; Hansbo, Peter
45
2005
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
Compact difference schemes for heat equation with Neumann boundary conditions. Zbl 1181.65115
Sun, Zhi-Zhong
42
2009
Exact solutions to a finite-difference model of a nonlinear reaction- advection equation: Implications for numerical analysis. Zbl 0693.65059
Mickens, Ronald E.
42
1989
Numerical solutions of some parabolic inverse problems. Zbl 0709.65105
Cannon, John R.; Yin, Hong-Ming
42
1990
Polynomial particular solutions for certain partial differential operators. Zbl 1019.65096
Golberg, M. A.; Muleshkov, A. S.; Chen, C. S.; Cheng, A. H.-D.
41
2003
Error estimates for finite volume element methods for general second-order elliptic problems. Zbl 1040.65091
Wu, Haijun; Li, Ronghua
41
2003
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
40
2009
An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh. Zbl 0822.65085
Herbin, Raphaèle
40
1995
A positivity-preserving nonstandard finite difference scheme for the damped wave equation. Zbl 1062.65086
Mickens, Ronald E.; Jordan, P. M.
40
2004
An unconditionally stable uncoupled scheme for a triphasic Cahn-Hilliard/Navier-Stokes model. Zbl 1364.76091
Minjeaud, Sebastian
40
2013
An analysis of the finite element method for natural convection problems. Zbl 0703.76071
Boland, J.; Layton, W.
40
1990
Trefftz method: A general theory. Zbl 0978.65114
Herrera, Ismael
39
2000
The use of Chebyshev cardinal functions for solution of the second-order one-dimensional telegraph equation. Zbl 1169.65102
Dehghan, Mehdi; Lakestani, Mehrdad
39
2009
High-order difference schemes for two-dimensional elliptic equations. Zbl 0634.65078
Gupta, Murli M.; Manohar, Ram P.; Stephenson, John W.
39
1985
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.
38
2005
A two-grid stabilization method for solving the steady-state Navier-Stokes equations. Zbl 1089.76034
Kaya, Songul; Rivière, Béatrice
38
2006
Numerical solution of parametrized Navier-Stokes equations by reduced basis methods. Zbl 1178.76238
Quarteroni, Alfio; Rozza, Gianluigi
38
2007
Numerical methods for structured population models: The escalator boxcar train. Zbl 0658.92016
de Roos, A. M.
38
1988
High order compact solution of the one-space-dimensional linear hyperbolic equation. Zbl 1151.65071
Mohebbi, Akbar; Dehghan, Mehdi
38
2008
The numerical solution of the second Painlevé equation. Zbl 1172.65037
Dehghan, Mehdi; Shakeri, Fatemeh
37
2009
A numerical method for one-dimensional nonlinear sine-Gordon equation using collocation and radial basis functions. Zbl 1135.65380
Dehghan, M.; Shokri, Ali
37
2008
Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws. Zbl 1071.65122
Kurganov, Alexander; Petrova, Guergana
36
2005
Determination of a control function in three-dimensional parabolic equations by Legendre pseudospectral method. Zbl 1252.65161
Shamsi, M.; Dehghan, Mehdi
36
2012
Weak Galerkin finite element methods for parabolic equations. Zbl 1307.65133
Li, Qiaoluan H.; Wang, Junping
36
2013
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.
36
2011
Immersed finite element methods for parabolic equations with moving interface. Zbl 1266.65165
He, Xiaoming; Lin, Tao; Lin, Yanping; Zhang, Xu
36
2013
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.
36
1998
Virtual element methods for parabolic problems on polygonal meshes. Zbl 1336.65171
Vacca, Giuseppe; Beirão da Veiga, Lourenco
36
2015
Convergence of multipoint flux approximations on quadrilateral grids. Zbl 1106.76043
Klausen, Runhild A.; Winther, Ragnar
36
2006
Finite difference discretization of the Benjamin-Bona-Mahony-Burgers equation. Zbl 1133.65067
Omrani, Khaled; Ayadi, Mekki
36
2008
Mixed finite element methods for generalized Forchheimer flow in porous media. Zbl 1141.76425
Park, Eun-Jae
35
2005
Convergence analysis of a new mixed finite element method for Biot’s consolidation model. Zbl 1350.74024
Yi, Son-Young
35
2014
Numerical solution of the one-dimensional wave equation with an integral condition. Zbl 1112.65097
Saadatmandi, Abbas; Dehghan, Mehdi
35
2007
An efficient high-order algorithm for solving systems of reaction-diffusion equations. Zbl 0997.65105
Liao, Wenyuan; Zhu, Jianping; Khaliq, Abdul Q. M.
35
2002
\(L^p\) error estimates and superconvergence for covolume or finite volume element methods. Zbl 1029.65123
Chou, So-Hsiang; Kwak, Do Y.; Li, Qian
35
2003
Modified methods of fundamental solutions for harmonic and biharmonic problems with boundary singularities. Zbl 0760.65103
Karageorghis, Andreas
34
1992
Variational multiscale proper orthogonal decomposition: Navier-Stokes equations. Zbl 1452.76048
Iliescu, Traian; Wang, Zhu
34
2014
A Jacobi spectral Galerkin method for the integrated forms of fourth-order elliptic differential equations. Zbl 1170.65099
Doha, Eid H.; Bhrawy, Ali H.
34
2009
The h-p version of the finite element method for parabolic equations. I: The p-version in time. Zbl 0693.65078
Babuška, Ivo; Janik, Tadeusz
34
1989
A splitting positive definite mixed element method for miscible displacement of compressible flow in porous media. Zbl 1008.76044
Yang, Danping
34
2001
A finite difference scheme for solving the heat transport equation at the microscale. Zbl 0945.65096
Dai, Weizhong; Nassar, Raja
33
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.
33
1996
The boundary integral equation approach for numerical solution of the one-dimensional sine-Gordon equation. Zbl 1153.65099
Dehghan, Mehdi; Mirzaei, Davoud
33
2008
The p-version of the finite element method for domains with corners and for infinite domains. Zbl 0717.65084
Babuška, Ivo; Oh, Hae-Soo
33
1990
On the convergence of a combined finite volume-finite element method for nonlinear convection-diffusion problems. Zbl 0869.65057
Feistauer, Miloslav; Felcman, Jiří; Lukáčová-Medvid’ová, Mária
32
1997
Nonstandard finite difference schemes for reaction-diffusion equations. Zbl 0926.65085
Mickens, Ronald E.
32
1999
A two-grid method for mixed finite-element solution of reaction-diffusion equations. Zbl 0929.65079
Wu, Li; Allen, Myron B. III
32
1999
Application of a Mickens finite-difference scheme to the cylindrical Bratu-Gelfand problem. Zbl 1048.65102
Buckmire, Ron
32
2004
The convergence of the bilinear and linear immersed finite element solutions to interface problems. Zbl 1241.65090
He, Xiaoming; Lin, Tao; Lin, Yanping
31
2012
Symbolic derivation of finite difference approximations for the three-dimensional Poisson equation. Zbl 0926.65103
Gupta, Murli M.; Kouatchou, Jules
31
1998
A compact finite difference scheme for solving a three-dimensional heat transport equation in a thin film. Zbl 0961.65072
Dai, Weizhong; Nassar, Raja
30
2000
Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem. Zbl 1381.76158
Colmenares, Eligio; Gatica, Gabriel N.; Oyarzúa, Ricardo
30
2016
Mixed finite element methods for incompressible flow: stationary Stokes equations. Zbl 1267.76059
Cai, Zhiqiang; Tong, Charles; Vassilevski, Panayot S.; Wang, Chunbo
30
2010
Variational iteration method for solving the space- and time-fractional KdV Equation. Zbl 1130.65132
Momani, Shaher; Odibat, Zaid; Alawneh, Ahmed
30
2008
Fourth-order finite difference methods for three-dimensional general linear elliptic problems with variable coefficients. Zbl 0651.65068
Ananthakrishnaiah, U.; Manohar, R.; Stephenson, J. W.
29
1987
Investigations of nonstandard, Mickens-type, finite difference schemes for singular boundary value problems in cylindrical or spherical coordinates. Zbl 1079.76048
Buckmire, Ron
29
2003
From the fitting techniques to accurate schemes for the Liouville-Bratu-Gelfand problem. Zbl 1099.65098
Serghini Mounim, A.; de Dormale, B. M.
28
2006
A meshless method using the radial basis functions for numerical solution of the regularized long wave equation. Zbl 1195.65142
Shokri, Ali; Dehghan, Mehdi
28
2010
Legendre wavelet method for numerical solutions of partial differential equations. Zbl 1186.65152
Liu, Nanshan; Lin, En-Bing
28
2010
Fast high order difference schemes for the time fractional telegraph equation. Zbl 1452.65164
Liang, Yuxiang; Yao, Zhongsheng; Wang, Zhibo
6
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
3
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.
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
An efficient difference scheme for the coupled nonlinear fractional Ginzburg-Landau equations with the fractional Laplacian. Zbl 1419.65024
Li, Meng; Huang, Chengming
12
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
10
2019
Convergence analysis of virtual element methods for semilinear parabolic problems on polygonal meshes. Zbl 1419.65040
Adak, Dibyendu; Natarajan, E.; Kumar, Sarvesh
8
2019
Approximation capabilities of immersed finite element spaces for elasticity interface problems. Zbl 1418.65174
Guo, Ruchi; Lin, Tao; Lin, Yanping
7
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
6
2019
Reconstructing unknown nonlinear boundary conditions in a time-fractional inverse reaction-diffusion-convection problem. Zbl 1418.65120
Babaei, Afshin; Banihashemi, Seddigheh
6
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.
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
A linear, decoupled fractional time-stepping method for the nonlinear fluid-fluid interaction. Zbl 1423.76253
Li, Jian; Huang, Pengzhan; Zhang, Chong; Guo, Gaihui
4
2019
Uniformly convergent novel finite difference methods for singularly perturbed reaction-diffusion equations. Zbl 1431.65198
He, Xuefei; Wang, Kun
4
2019
Transcendental Bernstein series for solving reaction-diffusion equations with nonlocal boundary conditions through the optimization technique. Zbl 1431.65184
Avazzadeh, Zakieh; Hassani, Hossein
4
2019
A boundary element approach for solving plane elastostatic equations of anisotropic functionally graded materials. Zbl 1416.74095
Ang, Whye-Teong
3
2019
Development of a \({P}_2\) element with optimal \({L}^2\) convergence for biharmonic equation. Zbl 1418.65181
Mu, Lin; Ye, Xiu; Zhang, Shangyou
3
2019
Spectral collocation methods for nonlinear weakly singular Volterra integro-differential equations. Zbl 1416.65236
Shi, Xiulian; Wei, Yunxia; Huang, Fenglin
3
2019
Patch-Wise local projection stabilized finite element methods for convection-diffusion-reaction problems. Zbl 1418.65171
Dond, Asha K.; Gudi, Thirupathi
3
2019
Quasi-Toeplitz splitting iteration methods for unsteady space-fractional diffusion equations. Zbl 1418.65097
Dai, Ping-fei; Wu, Qing-Biao; Zhu, Sheng-Feng
3
2019
Discontinuous Galerkin method for solving the black-oil problem in porous media. Zbl 1416.76097
Cappanera, Loïc; Rivière, Béatrice
3
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
3
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
3
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
3
2019
On the numerical approximation of \(p\)-biharmonic and \(\infty\)-biharmonic functions. Zbl 1419.65113
Katzourakis, Nikos; Pryer, Tristan
3
2019
Preconditioning trace coupled \(3d-1d\) systems using fractional Laplacian. Zbl 1437.65014
Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael
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
A DGFEM for nondivergence form elliptic equations with cordes coefficients on curved domains. Zbl 1425.65163
Kawecki, Ellya L.
3
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
3
2019
A fast second-order difference scheme for the space-time fractional equation. Zbl 1418.65109
Xu, Weiyan; Sun, Hong
2
2019
Spectrally accurate energy-preserving methods for the numerical solution of the “good” Boussinesq equation. Zbl 1418.65117
Brugnano, Luigi; Gurioli, Gianmarco; Zhang, Chengjian
2
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
2
2019
A finite element approach for analysis and computational modelling of coupled reaction diffusion models. Zbl 1418.65138
Yadav, Om Prakash; Jiwari, Ram
2
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
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
A Crank-Nicolson collocation spectral method for the two-dimensional viscoelastic wave equation. Zbl 1418.76037
Jin, Shiju; Luo, Zhendong
2
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
2
2019
Superconvergence analysis of finite element method for Poisson-Nernst-Planck equations. Zbl 1418.65137
Shi, Dongyang; Yang, Huaijun
2
2019
Adaptive operator splitting finite element method for Allen-Cahn equation. Zbl 1418.65132
Huang, Yunqing; Yang, Wei; Wang, Hao; Cui, Jintao
2
2019
Numerical study of a conservative weighted compact difference scheme for the symmetric regularized long wave equations. Zbl 1416.76185
Li, Shuguang
2
2019
Finite difference schemes for the two-dimensional semilinear wave equation. Zbl 1419.65008
Achouri, Talha
2
2019
Decoupled characteristic stabilized finite element method for time-dependent Navier-Stokes/Darcy model. Zbl 1419.65064
Jia, Xiaofeng; Li, Jichun; Jia, Hongen
2
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.
2
2019
High-order characteristic-tracking strategy for simulation of a nonlinear advection-diffusion equation. Zbl 1425.65099
Bak, Soyoon
2
2019
New a priori analysis of first-order system least-squares finite element methods for parabolic problems. Zbl 1425.65097
Führer, Thomas; Karkulik, Michael
2
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
2
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
2
2019
Superconvergence of the direct discontinuous Galerkin method for a time-fractional initial-boundary value problem. Zbl 1431.65216
Huang, Chaobao; Stynes, Martin
2
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.
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
Conservative finite difference methods for fractional Schrödinger-Boussinesq equations and convergence analysis. Zbl 1418.65103
Liao, Feng; Zhang, Luming; Hu, Xiuling
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
Time evolution of discrete fourth-order elliptic operators. Zbl 1418.65096
Ben-Artzi, Matania; Croisille, Jean-Pierre; Fishelov, Dalia
1
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.
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
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
1
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
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
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
1
2019
Vorticity-Pressure formulations for the Brinkman-Darcy coupled problem. Zbl 1416.76092
Anaya, Verónica; Mora, David; Reales, Carlos; Ruiz-Baier, Ricardo
1
2019
A variable nonlinear splitting algorithm for reaction diffusion systems with self- and cross- diffusion. Zbl 1418.65095
Beauregard, Matthew A.; Padgett, Joshua L.
1
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
1
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.
1
2019
A fully discrete spectral method for fractional Cattaneo equation based on Caputo-Fabrizo derivative. Zbl 1418.65104
Li, Haonan; Lü, Shujuan; Xu, Tao
1
2019
A numerical study of the semi-classical limit for three-coupled long wave-short wave interaction equations. Zbl 1418.76040
Oruc, Goksu; Kesici, Emine; Muslu, Gulcin M.
1
2019
Conservative compact finite difference scheme for the \(N\)-coupled nonlinear Klein-Gordon equations. Zbl 1418.65100
Ji, Bingquan; Zhang, Luming; Zhou, Xuanxuan
1
2019
Energy stable numerical scheme for the viscous Cahn-Hilliard-Navier-Stokes equations with moving contact line. Zbl 1418.65124
Cherfils, Laurence; Petcu, Madalina
1
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
1
2019
Adaptive finite element solution of the porous medium equation in pressure formulation. Zbl 1418.65135
Ngo, Cuong; Huang, Weizhang
1
2019
Least-square collocation and Lagrange multipliers for Taylor meshless method. Zbl 1419.65134
Yang, Jie; Hu, Heng; Potier-Ferry, Michel
1
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.
1
2019
Analysis of the immersed boundary method for a finite element Stokes problem. Zbl 1419.65121
Saito, Norikazu; Sugitani, Yoshiki
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
An upwind center difference parallel method and numerical analysis for the displacement problem with moving boundary. Zbl 1423.76314
Li, Changfeng; Yuan, Yirang
1
2019
Two grid finite element discretization method for semi-linear hyperbolic integro-differential equations. Zbl 1425.65102
Chen, Luoping; Chen, Yanping; Huang, Yunqing
1
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
1
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
1
2019
Determination of unknown functions in a mathematical model of ductal carcinoma in situ. Zbl 1430.35231
Garshasbi, Morteza
1
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
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
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 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.
1
2019
Numerical approximation of Riemann-Liouville definition of fractional derivative: from Riemann-Liouville to Atangana-Baleanu. Zbl 1417.65113
Atangana, Abdon; Gómez-aguilar, J. F.
26
2018
Ill-conditioning in the virtual element method: stabilizations and bases. Zbl 1407.65294
Mascotto, Lorenzo
25
2018
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
23
2018
Solutions of time-fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space. Zbl 1407.65153
Arqub, Omar Abu
22
2018
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
17
2018
Mathematical analysis and numerical simulation of chaotic noninteger order differential systems with Riemann-Liouville derivative. Zbl 1390.65046
Owolabi, Kolade M.
14
2018
Stability of a finite volume element method for the time-fractional advection-diffusion equation. Zbl 1407.65138
Badr, M.; Yazdani, A.; Jafari, H.
12
2018
Spectral technique for solving variable-order fractional Volterra integro-differential equations. Zbl 1407.65211
Doha, E. H.; Abdelkawy, M. A.; Amin, A. Z. M.; Baleanu, D.
12
2018
A local radial basis function collocation method to solve the variable-order time fractional diffusion equation in a two-dimensional irregular domain. Zbl 1407.65231
Wei, Song; Chen, Wen; Zhang, Yong; Wei, Hui; Garrard, Rhiannon M.
9
2018
Numerical simulation and solutions of the two-component second order KdV evolutionary system. (Numerical simulation and solutions of the two-component second order KdV evolutionarysystem.) Zbl 1383.65099
Yokus, Asif; Baskonus, Haci Mehmet; Sulaiman, Tukur Abdulkadir; Bulut, Hasan
8
2018
Numerical analysis of a finite volume scheme for a seawater intrusion model with cross-diffusion in an unconfined aquifer. Zbl 1407.76087
Oulhaj, Ahmed Ait Hammou
8
2018
Fast evaluation and high accuracy finite element approximation for the time fractional subdiffusion equation. Zbl 1390.65118
Ren, Jincheng; Mao, Shipeng; Zhang, Jiwei
8
2018
Existence of solution of a finite volume scheme preserving maximum principle for diffusion equations. Zbl 1384.65078
Yuan, Guangwei; Yu, Yunlong
7
2018
New two step Laplace Adam-Bashforth method for integer a noninteger order partial differential equations. Zbl 1407.65242
Gnitchogna, Rodrigue; Atangana, Abdon
7
2018
A domain decomposition method for solving singularly perturbed parabolic reaction-diffusion problems with time delay. Zbl 1407.65176
Singh, Joginder; Kumar, Sunil; Kumar, Mukesh
7
2018
Unconditional superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for nonlinear Sobolev equations. Zbl 1390.65120
Shi, Dongyang; Wang, Junjun; Yan, Fengna
6
2018
Singular boundary method based on time-dependent fundamental solutions for active noise control. Zbl 1407.76091
Li, Junpu; Chen, Wen
6
2018
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251 Dehghan Takht Fooladi, Mehdi
83 He, Yinnian
73 Shi, Dongyang
69 Gatica, Gabriel N.
69 Wang, Hong
68 Mohanty, Ranjan Kumar
59 Huang, Yunqing
56 Sun, Zhizhong
55 Zhang, Zhimin
52 Abbaszadeh, Mostafa
49 Chen, Zhangxin
49 Li, Jichun
47 Feng, Xinlong
46 Hou, Yanren
45 Li, Jian
45 Rebholz, Leo G.
43 Macías-Díaz, Jorge Eduardo
43 Rui, Hongxing
42 Chen, Yanping
42 Li, Hong
42 Li, Zi-Cai
41 Liu, Fawang
40 Băleanu, Dumitru I.
39 Ruiz-Baier, Ricardo
37 Bhrawy, Ali Hassan
36 Demkowicz, Leszek F.
36 Ye, Xiu
35 Khaliq, Abdul Q. M.
35 Zhang, Jun
34 Chen, Ching-Shyang
34 Heuer, Norbert
34 Lin, Tao
33 Liu, Yang
32 Bürger, Raimund
32 Dai, Weizhong
32 Xu, Da
32 Zhang, Zhiyue
31 Babuška, Ivo
31 He, Xiaoming
31 Huang, Pengzhan
31 Liu, Chein-Shan
31 Mohebbi, Akbar
31 Oyarzúa, Ricardo
31 Quarteroni, Alfio M.
31 Yıldırım, Ahmet
30 Wang, Yuanming
29 Karageorghis, Andreas
29 Layton, William J.
28 Li, Xiaolin
28 Mei, Liquan
28 Wang, Cheng
27 Führer, Thomas
27 Lubuma, Jean Mbaro-Saman
27 Mu, Lin
27 Yang, Xiaofeng
26 Omrani, Khaled
26 Rozza, Gianluigi
26 Yuan, Guangwei
25 Doha, Eid H.
25 Li, Xiaoli
24 Carstensen, Carsten
24 Huang, Hung-Tsai
24 Lin, Yanping
24 Mickens, Ronald Elbert
24 Sun, Weiwei
24 Zhang, Luming
23 Di Pietro, Daniele Antonio
23 Fu, Hongfei
23 Lakestani, Mehrdad
23 Nicaise, Serge
23 Turner, Ian William
22 Herbin, Raphaèle
22 John, Volker
22 Sezer, Mehmet
22 Yang, Danping
22 Zhang, Shangyou
21 Antonietti, Paola Francesca
21 Pani, Amiya Kumar
21 Parand, Kourosh
21 Saadatmandi, Abbas
21 Shang, Yueqiang
21 Sheen, Dongwoo
21 Yüzbaşı, Şuayip
20 Abbasbandy, Saeid
20 Baccouch, Mahboub
20 Bi, Chunjia
20 Chen, Chuanjun
20 Karkulik, Michael
20 Kurganov, Alexander
20 Li, Zhilin
20 Lin, Ji
20 Luo, Zhendong
20 Pao, Chia-Ven
20 Praetorius, Dirk
20 Sun, Shuyu
20 Vohralík, Martin
20 Zheng, Xiangcheng
19 Arqub, Omar Abu
19 Chen, Shaochun
19 Deng, Weihua
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