Numerical Methods for Partial Differential EquationsAn 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. all top 5 Latest Issues 40, No. 5 (2024) 40, No. 4 (2024) 40, No. 3 (2024) 40, No. 2 (2024) 40, No. 1 (2024) 39, No. 6 (2023) 39, No. 5 (2023) 39, No. 4 (2023) 39, No. 3 (2023) 39, No. 2 (2023) 39, No. 1 (2023) 38, No. 6 (2022) 38, No. 5 (2022) 38, No. 4 (2022) 38, No. 3 (2022) 38, No. 2 (2022) 38, No. 1 (2022) 37, No. 6 (2021) 37, No. 5 (2021) 37, No. 4 (2021) 37, No. 3 (2021) 37, No. 2 (2021) 37, No. 1 (2021) 36, No. 6 (2020) 36, No. 5 (2020) 36, No. 4 (2020) 36, No. 3 (2020) 36, No. 2 (2020) 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) ...and 116 more Volumes all top 5 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 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 Vijayakumar, Velusamy 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 Udhayakumar, Ramalingam 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 3,475 more Authors all top 5 Fields 2,342 Numerical analysis (65-XX) 1,802 Partial differential equations (35-XX) 631 Fluid mechanics (76-XX) 173 Mechanics of deformable solids (74-XX) 82 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) 54 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) 20 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 all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,236 Publications have been cited 26,167 times in 17,283 Documents Cited by ▼ Year ▼ Variational formulation for the stationary fractional advection dispersion equation. Zbl 1095.65118 Ervin, Vincent J.; Roop, John Paul 470 2006 Simple nonconforming quadrilateral Stokes element. Zbl 0742.76051 Rannacher, R.; Turek, S. 325 1992 Solving nonlinear fractional partial differential equations using the homotopy analysis method. Zbl 1185.65187 Dehghan, Mehdi; Manafian, Jalil; Saadatmandi, Abbas 320 2010 \(H\)-\(p\) clouds – an \(h\)-\(p\) meshless method. Zbl 0869.65069 Duarte, C. Armando; Oden, J. Tinsley 234 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. 202 2003 Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Zbl 1058.76046 Kurganov, Alexander; Tadmor, Eitan 182 2002 Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099 Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A. 179 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. 163 2011 Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes. Zbl 1314.65151 Mu, Lin; Wang, Junping; Ye, Xiu 150 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 137 2005 Contributions to the mathematics of the nonstandard finite difference method and applications. Zbl 0988.65055 Anguelov, Roumen; Lubuma, Jean M.-S. 135 2001 An immersed finite element space and its approximation capability. Zbl 1057.65085 Li, Z.; Lin, T.; Lin, Y.; Rogers, R. C. 134 2004 Virtual element methods for parabolic problems on polygonal meshes. Zbl 1336.65171 Vacca, Giuseppe; Beirão da Veiga, Lourenco 122 2015 A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications. Zbl 1084.65099 Dehghan, Mehdi 109 2006 Numerical approximation of Riemann-Liouville definition of fractional derivative: from Riemann-Liouville to Atangana-Baleanu. Zbl 1417.65113 Atangana, Abdon; Gómez-aguilar, J. F. 109 2018 A numerical method for solving the hyperbolic telegraph equation. Zbl 1145.65078 Dehghan, Mehdi; Shokri, Ali 107 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. 106 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 94 2010 Approximation capability of a bilinear immersed finite element space. Zbl 1154.65090 He, Xiaoming; Lin, Tao; Lin, Yanping 93 2008 Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition. Zbl 1114.65094 Mickens, Ronald E. 88 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 83 2007 A high-order compact formulation for the 3D Poisson equation. Zbl 0866.65066 Spotz, W. F.; Carey, G. F. 80 1996 An unconditionally stable uncoupled scheme for a triphasic Cahn-Hilliard/Navier-Stokes model. Zbl 1364.76091 Minjeaud, Sebastian 80 2013 Weak Galerkin finite element methods for parabolic equations. Zbl 1307.65133 Li, Qiaoluan H.; Wang, Junping 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. 78 2004 Finite volume element approximations of nonlocal reactive flows in porous media. Zbl 0961.76050 Ewing, Richard; Lazarov, Raytcho; Lin, Yanping 77 2000 A compact multipoint flux approximation method with improved robustness. Zbl 1230.65114 Aavatsmark, I.; Eigestad, G. T.; Mallison, B. T.; Nordbotten, J. M. 77 2008 Ill-conditioning in the virtual element method: stabilizations and bases. Zbl 1407.65294 Mascotto, Lorenzo 72 2018 Finite difference discretization of the Benjamin-Bona-Mahony-Burgers equation. Zbl 1133.65067 Omrani, Khaled; Ayadi, Mekki 70 2008 Variational multiscale proper orthogonal decomposition: Navier-Stokes equations. Zbl 1452.76048 Iliescu, Traian; Wang, Zhu 70 2014 On the relationship between finite volume and finite element methods applied to the Stokes equations. Zbl 1017.76057 Ye, Xiu 69 2001 Efficient numerical methods for pricing American options under stochastic volatility. Zbl 1152.91516 Ikonen, Samuli; Toivanen, Jari 68 2008 Unified finite element discretizations of coupled Darcy-Stokes flow. Zbl 1157.76026 Karper, Trygve; Mardal, Kent-Andre; Winther, Ragnar 67 2009 Immersed finite element methods for parabolic equations with moving interface. Zbl 1266.65165 He, Xiaoming; Lin, Tao; Lin, Yanping; Zhang, Xu 67 2013 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 A numerical method for one-dimensional nonlinear sine-Gordon equation using collocation and radial basis functions. Zbl 1135.65380 Dehghan, M.; Shokri, Ali 66 2008 Stabilized Crouzeix-Raviart element for the Darcy-Stokes problem. Zbl 1077.76037 Burman, Erik; Hansbo, Peter 65 2005 Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement. Zbl 1069.65104 Dehghan, Mehdi 65 2005 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 65 2018 High order implicit collocation method for the solution of two-dimensional linear hyperbolic equation. Zbl 1156.65087 Dehghan, Mehdi; Mohebbi, Akbar 63 2009 Solutions of time-fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space. Zbl 1407.65153 Arqub, Omar Abu 63 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. 62 2008 Compact difference schemes for heat equation with Neumann boundary conditions. Zbl 1181.65115 Sun, Zhi-Zhong 62 2009 A multilevel finite element method in space-time for the Navier-Stokes problem. Zbl 1081.76044 He, Yinnian; Liu, Kam-Moon 61 2005 ODE solvers and the method of lines. Zbl 0826.65082 Shampine, L. F. 61 1994 Exact solutions to a finite-difference model of a nonlinear reaction- advection equation: Implications for numerical analysis. Zbl 0693.65059 Mickens, Ronald E. 61 1989 Convergence analysis of a new mixed finite element method for Biot’s consolidation model. Zbl 1350.74024 Yi, Son-Young 61 2014 Extension of high-order compact schemes to time-dependent problems. Zbl 0998.65101 Spotz, W. F.; Carey, G. F. 60 2001 Finite volume methods on Voronoi meshes. Zbl 0903.65083 Mishev, Ilya D. 60 1998 An analysis of the finite element method for natural convection problems. Zbl 0703.76071 Boland, J.; Layton, W. 58 1990 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 58 2018 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 Some remarks on Zienkiewicz-Zhu estimator. Zbl 0806.73069 Rodríguez, Rodolfo 57 1994 Numerical solution of parametrized Navier-Stokes equations by reduced basis methods. Zbl 1178.76238 Quarteroni, Alfio; Rozza, Gianluigi 57 2007 Some temporal second order difference schemes for fractional wave equations. Zbl 1352.65269 Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua 57 2016 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 56 2015 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. 55 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. 55 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 55 2009 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. 55 1996 Domain decomposition for radial basis meshless methods. Zbl 1048.65124 Li, Jichun; Hon, Y. C. 54 2004 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 Mixed finite element methods for generalized Forchheimer flow in porous media. Zbl 1141.76425 Park, Eun-Jae 53 2005 High order compact solution of the one-space-dimensional linear hyperbolic equation. Zbl 1151.65071 Mohebbi, Akbar; Dehghan, Mehdi 53 2008 Determination of a control function in three-dimensional parabolic equations by Legendre pseudospectral method. Zbl 1252.65161 Shamsi, M.; Dehghan, Mehdi 53 2012 A two-grid stabilization method for solving the steady-state Navier-Stokes equations. Zbl 1089.76034 Kaya, Songul; Rivière, Béatrice 52 2006 Legendre wavelet method for numerical solutions of partial differential equations. Zbl 1186.65152 Liu, Nanshan; Lin, En-Bing 52 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 51 2010 Error estimates for finite volume element methods for general second-order elliptic problems. Zbl 1040.65091 Wu, Haijun; Li, Ronghua 50 2003 A two-grid method for mixed finite-element solution of reaction-diffusion equations. Zbl 0929.65079 Wu, Li; Allen, Myron B. III 50 1999 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 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 Mixed finite element methods for incompressible flow: stationary Stokes equations. Zbl 1267.76059 Cai, Zhiqiang; Tong, Charles; Vassilevski, Panayot S.; Wang, Chunbo 50 2010 A splitting positive definite mixed element method for miscible displacement of compressible flow in porous media. Zbl 1008.76044 Yang, Danping 49 2001 A positivity-preserving nonstandard finite difference scheme for the damped wave equation. Zbl 1062.65086 Mickens, Ronald E.; Jordan, P. M. 49 2004 \(L^p\) error estimates and superconvergence for covolume or finite volume element methods. Zbl 1029.65123 Chou, So-Hsiang; Kwak, Do Y.; Li, Qian 49 2003 Analysis of some finite difference schemes for two-dimensional Ginzburg-Landau equation. Zbl 1233.65062 Wang, Tingchun; Guo, Boling 49 2011 Nonstandard finite difference schemes for reaction-diffusion equations. Zbl 0926.65085 Mickens, Ronald E. 48 1999 Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem. Zbl 1381.76158 Colmenares, Eligio; Gatica, Gabriel N.; Oyarzúa, Ricardo 48 2016 Numerical solution of nonlinear Schrödinger equation by using time-space pseudo-spectral method. Zbl 1195.65137 Dehghan, Mehdi; Taleei, Ameneh 48 2010 Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws. Zbl 1071.65122 Kurganov, Alexander; Petrova, Guergana 47 2005 A coupling of nonconforming and mixed finite element methods for Biot’s consolidation model. Zbl 1274.74455 Yi, Son-Young 47 2013 Application of a Mickens finite-difference scheme to the cylindrical Bratu-Gelfand problem. Zbl 1048.65102 Buckmire, Ron 46 2004 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. 46 1998 Numerical analysis of two partitioned methods for uncoupling evolutionary MHD flows. Zbl 1364.76088 Layton, W.; Tran, H.; Trenchea, C. 46 2014 He’s frequency formulation for fractal nonlinear oscillator arising in a microgravity space. Zbl 07776019 Wang, Kangle 46 2021 High-order difference schemes for two-dimensional elliptic equations. Zbl 0634.65078 Gupta, Murli M.; Manohar, Ram P.; Stephenson, John W. 45 1985 Numerical solutions of some parabolic inverse problems. Zbl 0709.65105 Cannon, John R.; Yin, Hong-Ming 45 1990 Numerical methods for structured population models: The escalator boxcar train. Zbl 0658.92016 de Roos, A. M. 45 1988 Numerical analysis of two ensemble eddy viscosity numerical regularizations of fluid motion. Zbl 1325.65135 Jiang, Nan; Layton, William 45 2015 Variational iteration method for solving the space- and time-fractional KdV Equation. Zbl 1130.65132 Momani, Shaher; Odibat, Zaid; Alawneh, Ahmed 44 2008 The boundary integral equation approach for numerical solution of the one-dimensional sine-Gordon equation. Zbl 1153.65099 Dehghan, Mehdi; Mirzaei, Davoud 44 2008 An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh. Zbl 0822.65085 Herbin, Raphaèle 44 1995 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. 43 2005 Numerical solution of the one-dimensional wave equation with an integral condition. Zbl 1112.65097 Saadatmandi, Abbas; Dehghan, Mehdi 43 2007 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 43 2021 The numerical solution of the second Painlevé equation. Zbl 1172.65037 Dehghan, Mehdi; Shakeri, Fatemeh 43 2009 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 27 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 15 2024 Mathematical model for spreading of COVID-19 virus with the Mittag-Leffler kernel. Zbl 1531.92082 Logeswari, Kumararaju; Ravichandran, Chokkalingam; 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 9 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 8 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 7 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 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 4 2024 New extensions of Hermite-Hadamard inequalities via generalized proportional fractional integral. Zbl 07840121 Mumcu, İlker; Set, Erhan; Akdemir, Ahmet Ocak; Jarad, Fahd 4 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 3 2024 Numerical study of conforming space-time methods for Maxwell’s equations. Zbl 07840128 Hauser, Julia I. M.; Zank, Marco 3 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 07840112 Koriko, Olubode Kolade; Adegbie, Kolawole S.; Shah, Nehad Ali; Animasaun, Isaac L.; Olotu, M. Adejoke 2 2024 Perturbation based analytical solutions of non-Newtonian differential equation with heat and mass transportation between horizontal permeable channel. Zbl 07840119 Nazeer, Mubbashar; Ijaz Khan, M.; Saleem, Adila; Chu, Yu-Ming; Kadry, Seifedine; Rasheed, M. Tahir 2 2024 MHD two-phase flow of Jeffrey fluid suspended with Hafnium and crystal particles: analytical treatment. Zbl 07840120 Nazeer, Mubbashar; Hussain, Farooq; Khan, M. Ijaz; Shahzad, Qasiar; Chu, Yu-Ming; Kadry, Seifedine 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 Neilan’s divergence-free finite elements for Stokes equations on tetrahedral grids. Zbl 1531.65259 Zhang, Shangyou 2 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 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 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 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 A variation of distance domination in composite networks. Zbl 1536.05345 Aytaç, Vecdi; Şentürk, Fatmana 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 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 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 The divergence-free nonconforming virtual element method for the Navier-Stokes problem. Zbl 07776994 Zhang, Bei; Zhao, Jikun; Li, Meng 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. 7 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 7 2023 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 7 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. 6 2023 A systematic study on weak Galerkin finite element method for second-order parabolic problems. Zbl 07777013 Deka, Bhupen; Kumar, Naresh 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 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 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 Decatic B-spline collocation scheme for approximate solution of Burgers’ equation. Zbl 07776988 Jena, Saumya R.; Gebremedhin, Guesh S. 5 2023 Learning parameters of a system of variable order fractional differential equations. Zbl 07776993 Singh, Abhishek Kumar; Mehra, Mani; Gulyani, Samarth 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 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 A new \(\phi \)-FEM approach for problems with natural boundary conditions. Zbl 1532.65109 Duprez, Michel; Lleras, Vanessa; Lozinski, Alexei 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 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 modified walk-on-sphere method for high dimensional fractional Poisson equation. Zbl 07776956 Jiao, Caiyu; Li, Changpin; Wang, Hexiang; Zhang, Zhongqiang 4 2023 On the SAV-DG method for a class of fourth order gradient flows. Zbl 07776958 Liu, Hailiang; Yin, Peimeng 4 2023 Error analysis of a fully discrete projection method for magnetohydrodynamic system. Zbl 07776970 Ding, Qianqian; He, Xiaoming; Long, Xiaonian; Mao, Shipeng 4 2023 Displacement-pseudostress formulation for the linear elasticity spectral problem. Zbl 07776995 Inzunza, Daniel; Lepe, Felipe; Rivera, Gonzalo 4 2023 A kernel-based pseudo-spectral method for multi-term and distributed order time-fractional diffusion equations. Zbl 07777021 Fardi, Mojtaba 4 2023 A kernel-based method for solving the time-fractional diffusion equation. Zbl 07777024 Fardi, Mojtaba 4 2023 Superlinear convergence of Anderson accelerated Newton’s method for solving stationary Navier-Stokes equations. Zbl 1535.65287 Xiao, Mengying 4 2023 Approximation of functions by a new type of Gamma operators. Zbl 07777366 Betus, Ömür; Usta, Fuat 3 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 3 2023 Thermal instability of magnetohydrodynamic couple stress nanofluid in rotating porous medium. Zbl 07769125 Singh, Bhupander; Nisar, Kottakkaran Sooppy 3 2023 On solutions of time-fractional advection-diffusion equation. Zbl 07769127 Attia, Nourhane; Akgül, Ali; Seba, Djamila; Nour, Abdelkader 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 Microorganisms swimming through radiative sutterby nanofluid over stretchable cylinder: hydrodynamic effect. Zbl 07776948 Raza, Rabeeah; Naz, Rahila; Abdelsalam, Sara I. 3 2023 A two-grid finite element method for the Allen-Cahn equation with the logarithmic potential. Zbl 07776961 Wang, Danxia; Li, Yanan; Jia, Hongen 3 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 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 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 3 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 3 2023 Linearized compact difference methods for solving nonlinear Sobolev equations with distributed delay. Zbl 07777001 Tan, Zengqiang; Ran, Maohua 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 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 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 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 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 3 2023 A linear adaptive second-order backward differentiation formulation scheme for the phase field crystal equation. Zbl 07769113 Hou, Dianming; Qiao, Zhonghua 2 2023 Two-level stabilized finite volume method for the stationary incompressible magnetohydrodynamic equations. Zbl 07769114 Chu, Xiaochen; Chen, Chuanjun; Zhang, Tong 2 2023 Virtual element method for elliptic bulk-surface PDEs in three space dimensions. Zbl 07769115 Frittelli, Massimo; Madzvamuse, Anotida; Sgura, Ivonne 2 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 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 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 Block preconditioners for energy stable schemes of magnetohydrodynamics equations. Zbl 1531.65187 Zhang, Guo-Dong; Yang, Min; He, Yinnian 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 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 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 A fast numerical solution of the nonlinear tempered fractional integrodifferential equation. Zbl 07776965 Qiao, Leijie; Qiu, Wenlin; Tang, Bo 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 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 2 2023 A pressure-robust weak Galerkin finite element method for Navier-Stokes equations. Zbl 07777009 Mu, Lin 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 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 2 2023 Convergence analysis of the fractional decomposition method with applications to time-fractional biological population models. Zbl 1531.65151 Obeidat, Nazek A.; Bentil, Daniel E. 2 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. 1 2023 \(P_1\)-nonconforming quadrilateral finite element space with periodic boundary conditions. II: Application to the nonconforming heterogeneous multiscale method. Zbl 1535.65291 Yim, Jaeryun; Sheen, Dongwoo; Sim, Imbo 1 2023 Two-level methods based on the Arrow-Hurwicz iteration for the steady incompressible magnetohydrodynamic system. Zbl 1535.65277 Du, Binbin; Huang, Jianguo; Al Mahbub, Md. Abdullah; Zheng, Haibiao 1 2023 A spectrally accurate time-space pseudospectral method for viscous Burgers’ equation. Zbl 1535.65234 Mittal, A. K.; Balyan, L. K.; Sharma, K. K. 1 2023 A discontinuous Galerkin method for the Camassa-Holm-Kadomtsev-Petviashvili type equations. Zbl 1529.65093 Zhang, Qian; Xu, Yan; Liu, Yue 1 2023 Parameter-robust mixed element method for poroelasticity with Darcy-Forchheimer flow. Zbl 1529.76055 Li, Hongpeng; Rui, Hongxing 1 2023 On the numerical approximation of Boussinesq/Boussinesq systems for internal waves. Zbl 1535.65189 Dougalis, Vassilios A.; Duran, Angel; Saridaki, Leetha 1 2023 Convergence of first-order finite volume method based on exact Riemann solver for the complete compressible Euler equations. Zbl 1535.65157 Lukáčová-Medvid’ová, Mária; Yuan, Yuhuan 1 2023 A Bochev-Dohrmann-Gunzburger stabilized method for Maxwell eigenproblem. Zbl 1535.65271 Du, Zhijie; Duan, Huoyuan; Wang, Can; Zhang, Qiuyu 1 2023 Anderson acceleration for a regularized Bingham model. Zbl 1535.65283 Pollock, Sara; Rebholz, Leo G.; Vargun, Duygu 1 2023 A novel convenient finite difference method for shallow water waves derived by fifth-order Korteweg and de-Vries-type equation. (A novel convenient finite difference method for shallow water waves derived by fifth-order Kortweg and de-Vries-type equation.) Zbl 1531.65120 Poochinapan, Kanyuta; Wongsaijai, Ben 1 2023 Analysis of hybrid discontinuous Galerkin methods for linearized Navier-Stokes equations. Zbl 1531.65251 Shin, Dongwook; Jeon, Youngmok; Park, Eun-Jae 1 2023 Numerical analysis of a corrected Smagorinsky model. Zbl 1537.65140 Siddiqua, Farjana; Xie, Xihui 1 2023 On the convergence and superconvergence for a class of two-dimensional time fractional reaction-subdiffusion equations. Zbl 1540.65395 Wei, Yabing; Zhao, Yanmin; Chen, Hu; Wang, Fenling; Lü, Shujuan 1 2023 Dynamics of Arrhenius activation energy in flow of Carreau fluid subject to Brownian motion diffusion. Zbl 07769126 Khan, Muhammad Ijaz; Qayyum, Sumaira; Nigar, Mehr; Chu, Yu-Ming; Kadry, Seifedine 1 2023 ...and 1570 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 16,311 Authors 305 Dehghan Takht Fooladi, Mehdi 134 Shi, Dongyang 110 He, Yinnian 94 Huang, Yunqing 93 Gatica, Gabriel N. 90 Băleanu, Dumitru I. 90 Wang, Hong 84 Feng, Xinlong 82 Mohanty, Ranjan Kumar 82 Zhang, Zhimin 81 Abbaszadeh, Mostafa 80 Rui, Hongxing 78 Chen, Yanping 74 Li, Hong 69 Li, Jian 68 Chen, Zhangxin 66 Sun, Zhizhong 63 Liu, Yang 63 Ruiz-Baier, Ricardo 62 Huang, Pengzhan 62 Xu, Da 61 Rebholz, Leo Gregory 60 Ye, Xiu 60 Zhang, Shangyou 59 Li, Jichun 58 Liu, Fawang 57 Macías-Díaz, Jorge Eduardo 56 Yang, Xiaofeng 54 Hou, Yanren 53 Li, Zi-Cai 51 Zhang, Tong 50 Chen, Ching-Shyang 50 Demkowicz, Leszek 48 Sooppy Nisar, Kottakkaran 46 He, Xiaoming 46 Yuan, Guangwei 46 Zhang, Zhiyue 44 Chen, Wen 43 Dai, Weizhong 43 Zaky, Mahmoud A. 42 Vijayakumar, Velusamy 41 Heuer, Norbert 41 Li, Xiaoli 41 Lin, Tao 41 Shang, Yueqiang 41 Wang, Cheng 40 Khaliq, Abdul Qayyum Masud 40 Luo, Zhendong 40 Omrani, Khaled 40 Zhang, Luming 39 Bhrawy, Ali Hassan 39 Chen, Chuanjun 39 Li, Xiaolin 39 Liu, Chein-Shan 39 Oyarzúa, Ricardo 38 Bürger, Raimund 38 Hendy, Ahmed S. 38 Layton, William J. 38 Rozza, Gianluigi 37 Arqub, Omar Abu 37 Führer, Thomas 37 Li, Meng 36 Babuška, Ivo 36 Doha, Eid H. 36 Karageorghis, Andreas 36 Kurganov, Alexander 36 Mei, Liquan 36 Mohebbi, Akbar 36 Yüzbaşı, Şuayip 35 Lin, Ji 35 Lubuma, Jean Mbaro-Saman 35 Ordokhani, Yadollah 35 Razzaghi, Mohsen 35 Wang, Junping 35 Yıldırım, Ahmet 35 Zhang, Jun 34 Antonietti, Paola Francesca 34 Feng, Minfu 34 Fu, Hongfei 34 Ge, Yongbin 34 Heydari, Mohammad Hossein 34 Li, Zhilin 34 Manafian Heris, Jalil 34 Pani, Amiya Kumar 34 Quarteroni, Alfio M. 34 Yang, Xuehua 34 Zheng, Xiangcheng 33 Atangana, Abdon 33 Zhang, Haixiang 33 Zheng, Haibiao 32 Abbasbandy, Saeid 32 Akgül, Ali 32 Avazzadeh, Zakieh 32 Duressa, Gemechis File 32 Parand, Kourosh 31 Carstensen, Carsten 31 Inc, Mustafa 31 Manzini, Gianmarco 31 Mu, Lin 31 Pan, Kejia ...and 16,211 more Authors all top 5 Cited in 593 Journals 1,045 Computers & Mathematics with Applications 928 Numerical Methods for Partial Differential Equations 922 Journal of Computational and Applied Mathematics 793 Applied Mathematics and Computation 781 Journal of Computational Physics 737 Computer Methods in Applied Mechanics and Engineering 721 Applied Numerical Mathematics 643 Journal of Scientific Computing 482 Mathematical Methods in the Applied Sciences 463 Engineering Analysis with Boundary Elements 369 International Journal of Computer Mathematics 258 Mathematics and Computers in Simulation 244 Computational and Applied Mathematics 243 Numerical Algorithms 220 Applied Mathematical Modelling 218 Numerische Mathematik 202 SIAM Journal on Numerical Analysis 200 International Journal for Numerical Methods in Engineering 194 Communications in Nonlinear Science and Numerical Simulation 183 Mathematics of Computation 182 Advances in Difference Equations 170 Advances in Computational Mathematics 165 SIAM Journal on Scientific Computing 159 Applied Mathematics Letters 153 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 149 Journal of Mathematical Analysis and Applications 136 Advances in Applied Mathematics and Mechanics 135 Computers and Fluids 125 International Journal of Applied and Computational Mathematics 121 Journal of Applied Mathematics and Computing 118 Chaos, Solitons and Fractals 117 Fractals 113 Mathematical Problems in Engineering 110 Computer Physics Communications 104 Calcolo 99 International Journal for Numerical Methods in Fluids 90 Abstract and Applied Analysis 90 Computational Methods in Applied Mathematics 87 Computational Mechanics 84 International Journal of Numerical Analysis and Modeling 84 Communications in Computational Physics 82 M\(^3\)AS. 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