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 Vijayakumar, Velusamy 10 Wang, Kaixin 10 Xu, Da 10 Yuan, Yirang 9 Al-Lawatia, Mohamed 9 Babuška, Ivo 9 Cooke, Charlie H. 9 Feng, Xinlong 9 Heuer, Norbert 9 Huang, Yunqing 9 Kumar, Sunil 9 Li, Xiaoli 9 Li, Zi-Cai 9 Rebholz, Leo Gregory 9 Sheen, Dongwoo 9 Udhayakumar, Ramalingam 9 Zhang, Shangyou 8 Bürger, Raimund 8 Carey, Graham Francis 8 Celia, Michael A. 8 Chen, Yanping 8 Ervin, Vincent J. 8 Kadry, Seifedine 8 Lin, Tao 8 Power, Henry 8 Vong, Seakweng 8 Zhang, Jun 8 Zhu, Qiding 7 Atangana, Abdon 7 Bochev, Pavel B. 7 Cheng, Aijie 7 Chou, So-Hsiang 7 Gómez-Aguilar, José Francisco 7 He, Wenming 7 Lazarov, Raytcho D. 7 Li, Hong 7 Li, Kaitai 7 Ma, Heping 7 Mattheij, Robert M. M. 7 Oden, John Tinsley 7 Park, Eun-Jae 7 Rivière, Beatrice M. 7 Sheng, Qin 7 Whitley, Robert J. 7 Yang, Danping 6 Ali, Nasir 6 Biazar, Jafar 6 Bruch, John C. jun. 6 Cai, Zhiqiang 6 Chen-Charpentier, Benito Miguel 6 Chen, Wen 6 Dağ, İdris 6 Eymard, Robert 6 Farhloul, Mohamed 6 Gao, Zhiming 6 Gülsu, Mustafa 6 Jafari, Hossein 6 Karageorghis, Andreas 6 Kwak, Do Young 6 Macías-Díaz, Jorge Eduardo 6 Mai-Duy, Nam 6 Mei, Liquan 6 Mu, Lin ...and 3,480 more Authors all top 5 Fields 2,342 Numerical analysis (65-XX) 1,803 Partial differential equations (35-XX) 631 Fluid mechanics (76-XX) 173 Mechanics of deformable solids (74-XX) 83 Ordinary differential equations (34-XX) 79 Classical thermodynamics, heat transfer (80-XX) 79 Biology and other natural sciences (92-XX) 67 Integral equations (45-XX) 66 Optics, electromagnetic theory (78-XX) 59 Real functions (26-XX) 55 Calculus of variations and optimal control; optimization (49-XX) 45 Geophysics (86-XX) 43 Probability theory and stochastic processes (60-XX) 38 Statistical mechanics, structure of matter (82-XX) 29 Approximations and expansions (41-XX) 25 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Operator theory (47-XX) 18 Integral transforms, operational calculus (44-XX) 16 Potential theory (31-XX) 15 Special functions (33-XX) 15 Systems theory; control (93-XX) 14 Computer science (68-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Functional analysis (46-XX) 10 Quantum theory (81-XX) 9 Combinatorics (05-XX) 9 Statistics (62-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 5 Astronomy and astrophysics (85-XX) 5 Operations research, mathematical programming (90-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Difference and functional equations (39-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,267 Publications have been cited 26,888 times in 17,762 Documents Cited by ▼ Year ▼ Variational formulation for the stationary fractional advection dispersion equation. Zbl 1095.65118 Ervin, Vincent J.; Roop, John Paul 482 2006 Simple nonconforming quadrilateral Stokes element. Zbl 0742.76051 Rannacher, R.; Turek, S. 324 1992 Solving nonlinear fractional partial differential equations using the homotopy analysis method. Zbl 1185.65187 Dehghan, Mehdi; Manafian, Jalil; Saadatmandi, Abbas 311 2010 \(H\)-\(p\) clouds – an \(h\)-\(p\) meshless method. Zbl 0869.65069 Duarte, C. Armando; Oden, J. Tinsley 236 1996 Exponential convergence and \(h\)-\(c\) multiquadric collocation method for partial differential equations. Zbl 1031.65121 Cheng, A. H.-D.; Golberg, M. A.; Kansa, E. J.; Zammito, G. 204 2003 Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Zbl 1058.76046 Kurganov, Alexander; Tadmor, Eitan 190 2002 Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099 Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A. 178 2000 Variational solution of fractional advection dispersion equations on bounded domains in \(\mathbb R^{d}\). Zbl 1117.65169 Ervin, Vincent J.; Roop, John Paul 174 2007 A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions. Zbl 1208.65164 Demkowicz, L.; Gopalakrishnan, J. 170 2011 Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes. Zbl 1314.65151 Mu, Lin; Wang, Junping; Ye, Xiu 154 2014 Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations. Zbl 1196.65154 Liao, Honglin; Sun, Zhizhong 141 2010 On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation. Zbl 1059.65072 Dehghan, Mehdi 139 2005 Contributions to the mathematics of the nonstandard finite difference method and applications. Zbl 0988.65055 Anguelov, Roumen; Lubuma, Jean M.-S. 138 2001 Virtual element methods for parabolic problems on polygonal meshes. Zbl 1336.65171 Vacca, Giuseppe; Beirão da Veiga, Lourenco 138 2015 An immersed finite element space and its approximation capability. Zbl 1057.65085 Li, Z.; Lin, T.; Lin, Y.; Rogers, R. C. 137 2004 Numerical approximation of Riemann-Liouville definition of fractional derivative: from Riemann-Liouville to Atangana-Baleanu. Zbl 1417.65113 Atangana, Abdon; Gómez-aguilar, J. F. 115 2018 A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications. Zbl 1084.65099 Dehghan, Mehdi 110 2006 A numerical method for solving the hyperbolic telegraph equation. Zbl 1145.65078 Dehghan, Mehdi; Shokri, Ali 109 2008 A decoupling method with different subdomain time steps for the nonstationary Stokes-Darcy model. Zbl 1364.76096 Shan, Li; Zheng, Haibiao; Layton, William J. 109 2013 The method of approximate particular solutions for solving certain partial differential equations. Zbl 1242.65267 Chen, C. S.; Fan, C. M.; Wen, P. H. 99 2012 Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method. Zbl 1186.65136 Saadatmandi, Abbas; Dehghan, Mehdi 93 2010 Approximation capability of a bilinear immersed finite element space. Zbl 1154.65090 He, Xiaoming; Lin, Tao; Lin, Yanping 91 2008 Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition. Zbl 1114.65094 Mickens, Ronald E. 85 2007 Discrete duality finite volume schemes for Leray-Lions-type elliptic problems on general 2D meshes. Zbl 1111.65101 Andreianov, Boris; Boyer, Franck; Hubert, Florence 85 2007 Weak Galerkin finite element methods for parabolic equations. Zbl 1307.65133 Li, Qiaoluan H.; Wang, Junping 83 2013 An unconditionally stable uncoupled scheme for a triphasic Cahn-Hilliard/Navier-Stokes model. Zbl 1364.76091 Minjeaud, Sebastian 79 2013 A high-order compact formulation for the 3D Poisson equation. Zbl 0866.65066 Spotz, W. F.; Carey, G. F. 79 1996 Error estimates for a finite volume element method for parabolic equations in convex polygonal domains. Zbl 1067.65092 Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. 78 2004 A compact multipoint flux approximation method with improved robustness. Zbl 1230.65114 Aavatsmark, I.; Eigestad, G. T.; Mallison, B. T.; Nordbotten, J. M. 76 2008 Finite volume element approximations of nonlocal reactive flows in porous media. Zbl 0961.76050 Ewing, Richard; Lazarov, Raytcho; Lin, Yanping 75 2000 Ill-conditioning in the virtual element method: stabilizations and bases. Zbl 1407.65294 Mascotto, Lorenzo 75 2018 Variational multiscale proper orthogonal decomposition: Navier-Stokes equations. Zbl 1452.76048 Iliescu, Traian; Wang, Zhu 71 2014 Finite difference discretization of the Benjamin-Bona-Mahony-Burgers equation. Zbl 1133.65067 Omrani, Khaled; Ayadi, Mekki 70 2008 Unified finite element discretizations of coupled Darcy-Stokes flow. Zbl 1157.76026 Karper, Trygve; Mardal, Kent-Andre; Winther, Ragnar 69 2009 Efficient numerical methods for pricing American options under stochastic volatility. Zbl 1152.91516 Ikonen, Samuli; Toivanen, Jari 68 2008 A numerical method for one-dimensional nonlinear sine-Gordon equation using collocation and radial basis functions. Zbl 1135.65380 Dehghan, M.; Shokri, Ali 68 2008 On the relationship between finite volume and finite element methods applied to the Stokes equations. Zbl 1017.76057 Ye, Xiu 68 2001 Immersed finite element methods for parabolic equations with moving interface. Zbl 1266.65165 He, Xiaoming; Lin, Tao; Lin, Yanping; Zhang, Xu 67 2013 Stabilized Crouzeix-Raviart element for the Darcy-Stokes problem. Zbl 1077.76037 Burman, Erik; Hansbo, Peter 67 2005 An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation. Zbl 0990.65101 Mohanty, R. K.; Jain, M. K. 66 2001 Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement. Zbl 1069.65104 Dehghan, Mehdi 64 2005 High order implicit collocation method for the solution of two-dimensional linear hyperbolic equation. Zbl 1156.65087 Dehghan, Mehdi; Mohebbi, Akbar 64 2009 Exact solutions to a finite-difference model of a nonlinear reaction- advection equation: Implications for numerical analysis. Zbl 0693.65059 Mickens, Ronald E. 64 1989 Numerical algorithm for solving time-fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions. Zbl 1407.65239 Arqub, Omar Abu; Al-Smadi, Mohammed 64 2018 Numerical analysis and computational testing of a high accuracy Leray-deconvolution model of turbulence. Zbl 1191.76061 Layton, William; Manica, Carolina C.; Neda, Monika; Rebholz, Leo G. 63 2008 Compact difference schemes for heat equation with Neumann boundary conditions. Zbl 1181.65115 Sun, Zhi-Zhong 63 2009 Convergence analysis of a new mixed finite element method for Biot’s consolidation model. Zbl 1350.74024 Yi, Son-Young 63 2014 Solutions of time-fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space. Zbl 1407.65153 Arqub, Omar Abu 62 2018 Finite volume methods on Voronoi meshes. Zbl 0903.65083 Mishev, Ilya D. 61 1998 ODE solvers and the method of lines. Zbl 0826.65082 Shampine, L. F. 61 1994 A multilevel finite element method in space-time for the Navier-Stokes problem. Zbl 1081.76044 He, Yinnian; Liu, Kam-Moon 60 2005 Extension of high-order compact schemes to time-dependent problems. Zbl 0998.65101 Spotz, W. F.; Carey, G. F. 60 2001 Some temporal second order difference schemes for fractional wave equations. Zbl 1352.65269 Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua 60 2016 A second-order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection. Zbl 1407.76095 Feng, Wenqiang; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru 60 2018 An analysis of the finite element method for natural convection problems. Zbl 0703.76071 Boland, J.; Layton, W. 59 1990 Numerical solution of parametrized Navier-Stokes equations by reduced basis methods. Zbl 1178.76238 Quarteroni, Alfio; Rozza, Gianluigi 59 2007 A Fourier pseudospectral method for the “good” Boussinesq equation with second-order temporal accuracy. Zbl 1327.65195 Cheng, Kelong; Feng, Wenqiang; Gottlieb, Sigal; Wang, Cheng 59 2015 Some remarks on Zienkiewicz-Zhu estimator. Zbl 0806.73069 Rodríguez, Rodolfo 57 1994 Trefftz, collocation, and other boundary methods – a comparison. Zbl 1223.65093 Li, Zi-Cai; Lu, Tzon-Tzer; Huang, Hung-Tsai; Cheng, Alexander H.-D. 57 2007 Computer-based proof of the existence of superconvergence points in the finite element method; superconvergence of the derivatives in finite element solutions of Laplace’s, Poisson’s, and the elasticity equations. Zbl 0854.65089 Babuška, Ivo; Strouboulis, T.; Upadhyay, C. S.; Gangaraj, S. K. 57 1996 High-order numerical methods for one-dimensional parabolic singularly perturbed problems with regular layers. Zbl 1073.65079 Clavero, C.; Gracia, J. L.; Jorge, J. C. 57 2005 Domain decomposition for radial basis meshless methods. Zbl 1048.65124 Li, Jichun; Hon, Y. C. 55 2004 A meshless method for numerical solution of a linear hyperbolic equation with variable coefficients in two space dimensions. Zbl 1159.65084 Dehghan, Mehdi; Shokri, Ali 55 2009 Mixed finite element methods for generalized Forchheimer flow in porous media. Zbl 1141.76425 Park, Eun-Jae 54 2005 Polynomial particular solutions for certain partial differential operators. Zbl 1019.65096 Golberg, M. A.; Muleshkov, A. S.; Chen, C. S.; Cheng, A. H.-D. 54 2003 The use of Chebyshev cardinal functions for solution of the second-order one-dimensional telegraph equation. Zbl 1169.65102 Dehghan, Mehdi; Lakestani, Mehrdad 54 2009 Determination of a control function in three-dimensional parabolic equations by Legendre pseudospectral method. Zbl 1252.65161 Shamsi, M.; Dehghan, Mehdi 54 2012 High order compact solution of the one-space-dimensional linear hyperbolic equation. Zbl 1151.65071 Mohebbi, Akbar; Dehghan, Mehdi 52 2008 Legendre wavelet method for numerical solutions of partial differential equations. Zbl 1186.65152 Liu, Nanshan; Lin, En-Bing 52 2010 A two-grid method for mixed finite-element solution of reaction-diffusion equations. Zbl 0929.65079 Wu, Li; Allen, Myron B. III 52 1999 Analysis of some finite difference schemes for two-dimensional Ginzburg-Landau equation. Zbl 1233.65062 Wang, Tingchun; Guo, Boling 52 2011 Mixed finite element methods for incompressible flow: stationary Stokes equations. Zbl 1267.76059 Cai, Zhiqiang; Tong, Charles; Vassilevski, Panayot S.; Wang, Chunbo 51 2010 Error estimates for finite volume element methods for general second-order elliptic problems. Zbl 1040.65091 Wu, Haijun; Li, Ronghua 51 2003 A two-grid stabilization method for solving the steady-state Navier-Stokes equations. Zbl 1089.76034 Kaya, Songul; Rivière, Béatrice 51 2006 Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation. Zbl 1272.76217 Betcke, T.; Chandler-Wilde, S. N.; Graham, I. G.; Langdon, S.; Lindner, M. 50 2011 A meshless method using the radial basis functions for numerical solution of the regularized long wave equation. Zbl 1195.65142 Shokri, Ali; Dehghan, Mehdi 50 2010 The convergence of the bilinear and linear immersed finite element solutions to interface problems. Zbl 1241.65090 He, Xiaoming; Lin, Tao; Lin, Yanping 50 2012 Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem. Zbl 1381.76158 Colmenares, Eligio; Gatica, Gabriel N.; Oyarzúa, Ricardo 49 2016 A positivity-preserving nonstandard finite difference scheme for the damped wave equation. Zbl 1062.65086 Mickens, Ronald E.; Jordan, P. M. 49 2004 Nonstandard finite difference schemes for reaction-diffusion equations. Zbl 0926.65085 Mickens, Ronald E. 49 1999 A coupling of nonconforming and mixed finite element methods for Biot’s consolidation model. Zbl 1274.74455 Yi, Son-Young 49 2013 Numerical solution of nonlinear Schrödinger equation by using time-space pseudo-spectral method. Zbl 1195.65137 Dehghan, Mehdi; Taleei, Ameneh 48 2010 \(L^p\) error estimates and superconvergence for covolume or finite volume element methods. Zbl 1029.65123 Chou, So-Hsiang; Kwak, Do Y.; Li, Qian 48 2003 A splitting positive definite mixed element method for miscible displacement of compressible flow in porous media. Zbl 1008.76044 Yang, Danping 48 2001 Numerical analysis of two partitioned methods for uncoupling evolutionary MHD flows. Zbl 1364.76088 Layton, W.; Tran, H.; Trenchea, C. 48 2014 Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws. Zbl 1071.65122 Kurganov, Alexander; Petrova, Guergana 47 2005 A second-order splitting combined with orthogonal cubic spline collocation method for the Rosenau equation. Zbl 0930.65111 Manickam, S. Arul Veda; Pani, Amiya K.; Chung, Sang K. 47 1998 Numerical analysis of two ensemble eddy viscosity numerical regularizations of fluid motion. Zbl 1325.65135 Jiang, Nan; Layton, William 47 2015 Application of a Mickens finite-difference scheme to the cylindrical Bratu-Gelfand problem. Zbl 1048.65102 Buckmire, Ron 46 2004 He’s frequency formulation for fractal nonlinear oscillator arising in a microgravity space. Zbl 07776019 Wang, Kangle 46 2021 Numerical solutions of some parabolic inverse problems. Zbl 0709.65105 Cannon, John R.; Yin, Hong-Ming 45 1990 The boundary integral equation approach for numerical solution of the one-dimensional sine-Gordon equation. Zbl 1153.65099 Dehghan, Mehdi; Mirzaei, Davoud 45 2008 High-order difference schemes for two-dimensional elliptic equations. Zbl 0634.65078 Gupta, Murli M.; Manohar, Ram P.; Stephenson, John W. 45 1985 Numerical solution of the one-dimensional wave equation with an integral condition. Zbl 1112.65097 Saadatmandi, Abbas; Dehghan, Mehdi 44 2007 On the finite-differences schemes for the numerical solution of two dimensional Schrödinger equation. Zbl 1014.65077 Subaşi, Murat 44 2002 An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh. Zbl 0822.65085 Herbin, Raphaèle 44 1995 A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials. Zbl 07776012 Kumar, Sunil; Kumar, Ranbir; Osman, M. S.; Samet, Bessem 44 2021 Nonintrusive reduced-order modeling of parametrized time-dependent partial differential equations. Zbl 1274.65270 Audouze, Christophe; De Vuyst, Florian; Nair, Prasanth B. 44 2013 Forty years of the Crouzeix-Raviart element. Zbl 1310.65142 Brenner, Susanne C. 44 2015 Numerical methods for structured population models: The escalator boxcar train. Zbl 0658.92016 de Roos, A. M. 44 1988 Existence and controllability of nonlocal mixed Volterra-Fredholm type fractional delay integro-differential equations of order \(1 < r < 2\). Zbl 1531.34071 Kavitha Williams, W.; Vijayakumar, V.; Udhayakumar, R.; Panda, Sumati Kumari; Nisar, Kottakkaran Sooppy 28 2024 New discussion on approximate controllability results for fractional Sobolev type Volterra-Fredholm integro-differential systems of order \(1<r<2\). Zbl 07840123 Vijayakumar, V.; Ravichandran, Chokkalingam; Nisar, Kottakkaran Sooppy; Kucche, Kishor D. 24 2024 Numerical investigations on COVID-19 model through singular and non-singular fractional operators. Zbl 1531.92015 Kumar, Sunil; Chauhan, R. P.; Momani, Shaher; Hadid, Samir 17 2024 Mathematical model for spreading of COVID-19 virus with the Mittag-Leffler kernel. Zbl 1531.92082 Logeswari, Kumararaju; Ravichandran, Chokkalingam; Nisar, Kottakkaran Sooppy 11 2024 Results on approximate controllability of neutral integro-differential stochastic system with state-dependent delay. Zbl 1531.93026 Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Nisar, Kottakkaran Sooppy 11 2024 Emphasis on unsteady dynamics of bioconvective hybrid nanofluid flow over an upward-downward moving rotating disk. Zbl 1531.76123 Jayadevamurthy, Punith Gowda Ramanahalli; Rangaswamy, Naveen Kumar; Prasannakumara, Ballajja Chandrappa; Nisar, Kottakkaran Sooppy 10 2024 Results on existence and controllability results for fractional evolution inclusions of order \(1 < r < 2\) with Clarke’s subdifferential type. Zbl 1531.34058 Mohan Raja, M.; Vijayakumar, V.; Udhayakumar, R.; Nisar, Kottakkaran Sooppy 10 2024 New formulas of the high-order derivatives of fifth-kind Chebyshev polynomials: spectral solutionof the convection-diffusion equation. Zbl 07840114 Abd-Elhameed, Waleed M.; Youssri, Youssri H. 6 2024 A study on fractional predator-prey-pathogen model with Mittag-Leffler kernel-based operators. Zbl 1531.92010 Ghanbari, Behzad; Kumar, Sunil 6 2024 Integrated neuro-evolution heuristic with sequential quadratic programming for second-order prediction differential models. Zbl 1531.65087 Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Wahab, Hafiz Abdul; Shoaib, Muhammad; Aguilar, J. F. Gómez 6 2024 New extensions of Hermite-Hadamard inequalities via generalized proportional fractional integral. Zbl 07840121 Mumcu, İlker; Set, Erhan; Akdemir, Ahmet Ocak; Jarad, Fahd 5 2024 Results on approximate controllability of Sobolev type fractional stochastic evolution hemivariational inequalities. Zbl 1531.65017 Vijayakumar, V.; Udhayakumar, R.; Panda, Sumati Kumari; Nisar, Kottakkaran Sooppy 4 2024 Numerical solutions of the partial differential equations for investigating the significance of partial slip due to lateral velocity and viscous dissipation: the case of blood-gold Carreau nanofluid and dusty fluid. Zbl 1544.76148 Koriko, Olubode Kolade; Adegbie, Kolawole S.; Shah, Nehad Ali; Animasaun, Isaac L.; Olotu, M. Adejoke 3 2024 MHD two-phase flow of Jeffrey fluid suspended with Hafnium and crystal particles: analytical treatment. Zbl 1544.76138 Nazeer, Mubbashar; Hussain, Farooq; Khan, M. Ijaz; Shahzad, Qasiar; Chu, Yu-Ming; Kadry, Seifedine 3 2024 Numerical study of conforming space-time methods for Maxwell’s equations. Zbl 07840128 Hauser, Julia I. M.; Zank, Marco 3 2024 Perturbation based analytical solutions of non-Newtonian differential equation with heat and mass transportation between horizontal permeable channel. Zbl 1548.76013 Nazeer, Mubbashar; Ijaz Khan, M.; Saleem, Adila; Chu, Yu-Ming; Kadry, Seifedine; Rasheed, M. Tahir 2 2024 Comparison between the new exact and numerical solutions of the Mikhailov-Novikov-Wang equation. Zbl 07840124 Bekir, Ahmet; Shehata, Maha S. M.; Zahran, Emad H. M. 2 2024 Two-grid finite element method on grade meshes for time-fractional nonlinear Schrödinger equation. Zbl 07840131 Hu, Hanzhang; Chen, Yanping; Zhou, Jianwei 2 2024 Analytical and numerical techniques for initial-boundary value problems of Kolmogorov-Petrovsky-Piskunov equation. Zbl 1531.65129 Wongsaijai, Ben; Aydemir, Tuğba; Ak, Turgut; Dhawan, Sharanjeet 2 2024 Neilan’s divergence-free finite elements for Stokes equations on tetrahedral grids. Zbl 1531.65259 Zhang, Shangyou 2 2024 A variation of distance domination in composite networks. Zbl 1536.05345 Aytaç, Vecdi; Şentürk, Fatmana 1 2024 Significance of bioconvection in flow of Williamson nano-material confined by a porous radioactive Riga surface with convective Nield constrains. Zbl 1547.76135 Ahmad, Iftikhar; Aziz, Samaira; Ali, Nasir; Khan, Sami Ullah 1 2024 Sharp estimates of the unique solution for two-point fractional boundary value problems with conformable derivative. Zbl 07840117 Laadjal, Zaid; Abdeljawad, Thabet; Jarad, Fahd 1 2024 Mathematical modeling of bio-magnetic fluid bounded within ciliated walls of wavy channel. Zbl 1547.76137 Nazeer, Mubbashar; Hussain, Farooq; Iftikhar, Sadia; Ijaz Khan, Muhammad; Ramesh, K.; Shehzad, Nasir; Baig, Afifa; Kadry, Seifedine; Chu, Yu-Ming 1 2024 Strong approximation of stochastic semilinear subdiffusion and superdiffusion driven by fractionally integrated additive noise. Zbl 07840126 Hu, Ye; Yan, Yubin; Sarwar, Shahzad 1 2024 A numerical study on fractional differential equation with population growth model. Zbl 1531.65091 Kumar, Sunil; Shaw, Pawan Kumar; Abdel-Aty, Abdel-Haleem; Mahmoud, Emad E. 1 2024 Heat transfer analysis on MHD flow over a stretchable Riga wall considering entropy generation rate: a numerical study. Zbl 1531.76110 Shah, Faisal; Khan, Muhammad Ijaz; Chu, Yu-Ming; Kadry, Seifedine 1 2024 Numerical solutions of fractional parabolic equations with generalized Mittag-Leffler kernels. Zbl 1531.65209 Alomari, Abedel-Karrem; Abdeljawad, Thabet; Baleanu, Dumitru; Saad, Khaled M.; Al-Mdallal, Qasem M. 1 2024 Two-sided Krylov enhanced proper orthogonal decomposition methods for partial differential equations with variable coefficients. Zbl 1531.65180 Wang, Li; Miao, Zhen; Jiang, Yao-Lin 1 2024 Superconvergence analysis of the bilinear-constant scheme for two-dimensional incompressible convective Brinkman-Forchheimer equations. Zbl 1531.65255 Yang, Huaijun; Jia, Xu 1 2024 Strong convergence for an explicit fully-discrete finite element approximation of the Cahn-Hilliard-Cook equation with additive noise. Zbl 1531.65016 Lin, Qiu; Qi, Ruisheng 1 2024 An efficient linearly implicit and energy-conservative scheme for two dimensional Klein-Gordon-Schrödinger equations. Zbl 1531.65112 Li, Hongwei; Yang, Yuna; Li, Xiangkun 1 2024 Finite element algorithm with a second-order shifted composite numerical integral formula for a nonlinear time fractional wave equation. Zbl 1531.65176 Ren, Haoran; Liu, Yang; Yin, Baoli; Li, Hong 1 2024 Efficient and accurate temporal second-order numerical methods for multidimensional multi-term integrodifferential equations with the Abel kernels. Zbl 07866647 Zhao, Mingchao; Chen, Hao; Li, Kexin 1 2024 A numerical technique based on B-spline for a class of time-fractional diffusion equation. Zbl 1533.65199 Roul, Pradip; Prasad Goura, V. M. K.; Cavoretto, Roberto 10 2023 The divergence-free nonconforming virtual element method for the Navier-Stokes problem. Zbl 07776994 Zhang, Bei; Zhao, Jikun; Li, Meng 10 2023 A \(C^0\) linear finite element method for a second-order elliptic equation in non-divergence form with Cordes coefficients. Zbl 07777005 Xu, Minqiang; Lin, Runchang; Zou, Qingsong 8 2023 Approximate controllability results for Sobolev-type delay differential system of fractional order without uniqueness. Zbl 1535.35189 Vijayakumar, V.; Udhayakumar, R.; Zhou, Yong; Sakthivel, N. 8 2023 High-order finite difference/spectral-Galerkin approximations for the nonlinear time-space fractional Ginzburg-Landau equation. Zbl 07769130 Zaky, Mahmoud A.; Hendy, Ahmed S.; Macías-Díaz, Jorge E. 7 2023 A systematic study on weak Galerkin finite element method for second-order parabolic problems. Zbl 07777013 Deka, Bhupen; Kumar, Naresh 7 2023 Learning parameters of a system of variable order fractional differential equations. Zbl 07776993 Singh, Abhishek Kumar; Mehra, Mani; Gulyani, Samarth 6 2023 A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters. Zbl 1531.65156 Bao, Weizhu; Garcke, Harald; Nürnberg, Robert; Zhao, Quan 6 2023 A kernel-based pseudo-spectral method for multi-term and distributed order time-fractional diffusion equations. Zbl 07777021 Fardi, Mojtaba 5 2023 A kernel-based method for solving the time-fractional diffusion equation. Zbl 07777024 Fardi, Mojtaba 5 2023 An unconditionally stable artificial compression method for the time-dependent groundwater-surface water flows. Zbl 1535.65205 Qin, Yi; Wang, Yang; Hou, Yanren; Li, Jian 5 2023 Computational analysis of the third order dispersive fractional PDE under exponential-decay and Mittag-Leffler type kernels. Zbl 07769129 Ahmad, Shabir; Ullah, Aman; Shah, Kamal; Akgül, Ali 5 2023 On the SAV-DG method for a class of fourth order gradient flows. Zbl 07776958 Liu, Hailiang; Yin, Peimeng 5 2023 Convergence of a finite element method on a Bakhvalov-type mesh for a singularly perturbed convection-diffusion equation in 2D. Zbl 07776959 Zhang, Jin; Liu, Xiaowei 5 2023 Error analysis of a fully discrete projection method for magnetohydrodynamic system. Zbl 07776970 Ding, Qianqian; He, Xiaoming; Long, Xiaonian; Mao, Shipeng 5 2023 Displacement-pseudostress formulation for the linear elasticity spectral problem. Zbl 07776995 Inzunza, Daniel; Lepe, Felipe; Rivera, Gonzalo 5 2023 An inverse problem of identifying the time-dependent potential in a fourth-order pseudo-parabolic equation from additional condition. Zbl 07776941 Huntul, Mousa J.; Tamsir, Mohammad; Dhiman, Neeraj 4 2023 A modified walk-on-sphere method for high dimensional fractional Poisson equation. Zbl 07776956 Jiao, Caiyu; Li, Changpin; Wang, Hexiang; Zhang, Zhongqiang 4 2023 Finite difference schemes for the fourth-order parabolic equations with different boundary value conditions. Zbl 1531.65114 Lu, Xuan-ru; Gao, Guang-Hua; Sun, Zhi-Zhong 4 2023 A linear adaptive second-order backward differentiation formulation scheme for the phase field crystal equation. Zbl 07769113 Hou, Dianming; Qiao, Zhonghua 4 2023 On solutions of time-fractional advection-diffusion equation. Zbl 07769127 Attia, Nourhane; Akgül, Ali; Seba, Djamila; Nour, Abdelkader 4 2023 Exact solutions of convective-diffusive Cahn-Hilliard equation using extended direct algebraic method. Zbl 07769128 Rehman, Hamood Ur; Ullah, Naeem; Asjad, Muhammad Imran; Akgül, Ali 4 2023 A two-grid finite element method for the Allen-Cahn equation with the logarithmic potential. Zbl 07776961 Wang, Danxia; Li, Yanan; Jia, Hongen 4 2023 Quadratic B-spline collocation method for time dependent singularly perturbed differential-difference equation arising in the modeling of neuronal activity. Zbl 07776985 Shivhare, Meenakshi; Podila, Pramod Chakravarthy; Ramos, Higinio; Vigo-Aguiar, Jesús 4 2023 Decatic B-spline collocation scheme for approximate solution of Burgers’ equation. Zbl 07776988 Jena, Saumya R.; Gebremedhin, Guesh S. 4 2023 On the sparse multiscale representation of 2-D Burgers equations by an efficient algorithm based on multiwavelets. Zbl 07776992 Nemati Saray, Behzad; Lakestani, Mehrdad; Dehghan, Mehdi 4 2023 On numerical study of constrained coupled shape optimization problems based on a new shape derivative method. Zbl 07776996 Boulkhemair, Abdesslam; Chakib, Abdelkrim; Sadik, Azeddine 4 2023 Linearized compact difference methods for solving nonlinear Sobolev equations with distributed delay. Zbl 07777001 Tan, Zengqiang; Ran, Maohua 4 2023 Superlinear convergence of Anderson accelerated Newton’s method for solving stationary Navier-Stokes equations. Zbl 1535.65287 Xiao, Mengying 4 2023 Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier-Stokes equations. Zbl 1535.65203 Masri, Rami; Liu, Chen; Riviere, Beatrice 4 2023 Structure-preserving exponential wave integrator methods and the long-time convergence analysis for the Klein-Gordon-Dirac equation with the small coupling constant. Zbl 1535.65228 Li, Jiyong; Jin, Xiaoqian 4 2023 Approximation of functions by a new type of Gamma operators. Zbl 1543.41012 Betus, Ömür; Usta, Fuat 4 2023 A new \(\phi \)-FEM approach for problems with natural boundary conditions. Zbl 1532.65109 Duprez, Michel; Lleras, Vanessa; Lozinski, Alexei 4 2023 Convergence and superconvergence analysis for nonlinear delay reaction-diffusion system with nonconforming finite element. Zbl 1531.65174 Peng, Shanshan; Li, Meng; Zhao, Yanmin; Wang, Fenling; Shi, Yanhua 4 2023 Microorganisms swimming through radiative sutterby nanofluid over stretchable cylinder: hydrodynamic effect. Zbl 07776948 Raza, Rabeeah; Naz, Rahila; Abdelsalam, Sara I. 3 2023 A pressure-robust weak Galerkin finite element method for Navier-Stokes equations. Zbl 07777009 Mu, Lin 3 2023 A novel local Hermite radial basis function-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation with Neumann boundary conditions. Zbl 1535.65229 Liu, Jianming; Li, Xin Kai; Hu, Xiuling 3 2023 A simplified primal-dual weak Galerkin finite element method for Fokker-Planck-type equations. Zbl 1528.65113 Li, Dan; Wang, Chunmei 3 2023 Energy stability of exponential time differencing schemes for the nonlocal Cahn-Hilliard equation. Zbl 1535.65244 Zhou, Quan; Sun, Yabing 3 2023 Analysis of the parareal approach based on discontinuous Galerkin method for time-dependent Stokes equations. Zbl 1533.65176 Li, Jun; Jiang, Yao-Lin; Miao, Zhen 3 2023 Numerical analysis of a corrected Smagorinsky model. Zbl 1537.65140 Siddiqua, Farjana; Xie, Xihui 3 2023 Two-level stabilized finite volume method for the stationary incompressible magnetohydrodynamic equations. Zbl 07769114 Chu, Xiaochen; Chen, Chuanjun; Zhang, Tong 3 2023 Virtual element method for elliptic bulk-surface PDEs in three space dimensions. Zbl 07769115 Frittelli, Massimo; Madzvamuse, Anotida; Sgura, Ivonne 3 2023 Experimental convergence rate study for three shock-capturing schemes and development of highly accurate combined schemes. Zbl 07769119 Chu, Shaoshuai; Kovyrkina, Olyana A.; Kurganov, Alexander; Ostapenko, Vladimir V. 3 2023 Thermal instability of magnetohydrodynamic couple stress nanofluid in rotating porous medium. Zbl 07769125 Singh, Bhupander; Nisar, Kottakkaran Sooppy 3 2023 Exact solutions of \((2+1)\)-dimensional Schrödinger’s hyperbolic equation using different techniques. Zbl 1534.35359 Rehman, Hamood Ur; Imran, Muhammad Asjad; Ullah, Naeem; Akgül, Ali 3 2023 A fast numerical solution of the nonlinear tempered fractional integrodifferential equation. Zbl 07776965 Qiao, Leijie; Qiu, Wenlin; Tang, Bo 3 2023 A novel approach for the solution of fractional diffusion problems with conformable derivative. Zbl 07776989 Bayrak, Mine A.; Demir, Ali; Ozbilge, Ebru 3 2023 Error estimates of an operator-splitting finite element method for the time-dependent natural convection problem. Zbl 07777003 Yang, Yun-Bo; Huang, Bin-Chao; Jiang, Yao-Lin 3 2023 An oscillation free local discontinuous Galerkin method for nonlinear degenerate parabolic equations. Zbl 1535.65208 Tao, Qi; Liu, Yong; Jiang, Yan; Lu, Jianfang 3 2023 Numerical solution of the partial differential equations that model the steady three-dimensional flow and heat transfer of Carreau fluid between two stretchable rotatory disks. Zbl 1535.65169 Usman; Ghaffari, Abuzar; Kausar, Samina 3 2023 Block preconditioners for energy stable schemes of magnetohydrodynamics equations. Zbl 1531.65187 Zhang, Guo-Dong; Yang, Min; He, Yinnian 3 2023 A mixed element analysis of the Biot’s model with Darcy-Forchheimer flow. Zbl 1531.65170 Li, Hongpeng; Rui, Hongxing 3 2023 Convergence analysis of a fast second-order time-stepping numerical method for two-dimensional nonlinear time-space fractional Schrödinger equation. Zbl 1531.65132 Zhang, Hui; Jiang, Xiaoyun 3 2023 Partial differential integral equation model for pricing American option under multi state regime switching with jumps. Zbl 07776943 Yousuf, Muhammad; Khaliq, Abdul Q. M. 2 2023 Numerical solutions of generalized Rosenau-KDV-RLW equation by using Haar wavelet collocation approach coupled with nonstandard finite difference scheme and quasilinearization. Zbl 07776954 Verma, Amit Kumar; Rawani, Mukesh Kumar 2 2023 On two-dimensional weakly singular fractional partial integro-differential equations and dual Bernstein polynomials. Zbl 07777017 Sayevand, Khosro; Mirzaee, Farshid; Masti, Imman 2 2023 The analysis of the solution of the Burgers-Huxley equation using the Galerkin method. Zbl 1535.65184 Chin, Pius W. M. 2 2023 A multilevel Monte Carlo ensemble and hybridizable discontinuous Galerkin method for a stochastic parabolic problem. Zbl 1535.65197 Li, Meng; Luo, Xianbing 2 2023 Parameter-robust mixed element method for poroelasticity with Darcy-Forchheimer flow. Zbl 1529.76055 Li, Hongpeng; Rui, Hongxing 2 2023 High order accurate and convergent numerical scheme for the strongly anisotropic Cahn-Hilliard model. Zbl 1535.65218 Cheng, Kelong; Wang, Cheng; Wise, Steven M. 2 2023 A study of distributed-order time fractional diffusion models with continuous distribution weight functions. Zbl 1536.65092 Yu, Qiang; Turner, Ian; Liu, Fawang; Moroney, Timothy 2 2023 On solutions of fuzzy fractional order complex population dynamical model. Zbl 07769132 Ullah, Abd; Ullah, Aman; Ahmad, Shabir; Ahmad, Imtiaz; Akgül, Ali 2 2023 A fourth-order accurate numerical method for the distributed-order Riesz space fractional diffusion equation. Zbl 07776962 Chen, Xuejuan; Chen, Jinghua; Liu, Fawang; Sun, Zhi-zhong 2 2023 Strong optimal error estimates of discontinuous Galerkin method for multiplicative noise driving nonlinear SPDEs. Zbl 07776998 Yang, Xu; Zhao, Weidong; Zhao, Wenju 2 2023 A stabilizer free weak Galerkin finite element method for second-order Sobolev equation. Zbl 07777000 Kumar, Naresh; Deka, Bhupen 2 2023 ...and 1601 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 16,738 Authors 305 Dehghan Takht Fooladi, Mehdi 138 Shi, Dongyang 115 He, Yinnian 95 Huang, Yunqing 94 Gatica, Gabriel N. 91 Wang, Hong 90 Băleanu, Dumitru I. 89 Feng, Xinlong 86 Chen, Yanping 83 Zhang, Zhimin 82 Abbaszadeh, Mostafa 82 Mohanty, Ranjan Kumar 82 Rui, Hongxing 75 Li, Hong 70 Li, Jian 69 Chen, Zhangxin 66 Sun, Zhizhong 64 Huang, Pengzhan 64 Liu, Yang 64 Zhang, Shangyou 63 Ruiz-Baier, Ricardo 62 Rebholz, Leo Gregory 62 Xu, Da 60 Ye, Xiu 59 Li, Jichun 58 Liu, Fawang 58 Macías-Díaz, Jorge Eduardo 57 Yang, Xiaofeng 54 Hou, Yanren 53 Li, Zi-Cai 52 Demkowicz, Leszek 52 Zhang, Tong 50 Chen, Ching-Shyang 49 Sooppy Nisar, Kottakkaran 47 He, Xiaoming 46 Yuan, Guangwei 46 Zhang, Zhiyue 45 Vijayakumar, Velusamy 45 Zaky, Mahmoud A. 44 Chen, Wen 43 Dai, Weizhong 42 Heuer, Norbert 42 Li, Xiaoli 42 Shang, Yueqiang 42 Wang, Cheng 41 Lin, Tao 41 Luo, Zhendong 40 Hendy, Ahmed S. 40 Khaliq, Abdul Qayyum Masud 40 Li, Xiaolin 40 Omrani, Khaled 40 Oyarzúa, Ricardo 40 Zhang, Luming 39 Bhrawy, Ali Hassan 39 Bürger, Raimund 39 Chen, Chuanjun 39 Liu, Chein-Shan 39 Rozza, Gianluigi 38 Kurganov, Alexander 38 Layton, William J. 38 Yang, Xuehua 37 Arqub, Omar Abu 37 Feng, Minfu 37 Führer, Thomas 37 Li, Meng 37 Ordokhani, Yadollah 37 Zhang, Haixiang 36 Babuška, Ivo 36 Doha, Eid H. 36 Karageorghis, Andreas 36 Lubuma, Jean Mbaro-Saman 36 Mei, Liquan 36 Mohebbi, Akbar 36 Pani, Amiya Kumar 36 Razzaghi, Mohsen 36 Yüzbaşı, Şuayip 36 Zheng, Xiangcheng 35 Antonietti, Paola Francesca 35 Fu, Hongfei 35 Lin, Ji 35 Wang, Junping 35 Yıldırım, Ahmet 35 Zhang, Jun 35 Zheng, Haibiao 34 Duressa, Gemechis File 34 Ge, Yongbin 34 Heydari, Mohammad Hossein 34 Li, Zhilin 34 Manafian Heris, Jalil 34 Quarteroni, Alfio M. 33 Atangana, Abdon 33 Manzini, Gianmarco 33 Zhou, Zhaojie 32 Abbasbandy, Saeid 32 Akgül, Ali 32 Avazzadeh, Zakieh 32 Carstensen, Carsten 32 Parand, Kourosh 31 Deng, Dingwen 31 Inc, Mustafa ...and 16,638 more Authors all top 5 Cited in 604 Journals 1,096 Computers & Mathematics with Applications 943 Journal of Computational and Applied Mathematics 928 Numerical Methods for Partial Differential Equations 795 Journal of Computational Physics 793 Applied Mathematics and Computation 749 Computer Methods in Applied Mechanics and Engineering 744 Applied Numerical Mathematics 671 Journal of Scientific Computing 482 Mathematical Methods in the Applied Sciences 463 Engineering Analysis with Boundary Elements 378 International Journal of Computer Mathematics 263 Numerical Algorithms 261 Mathematics and Computers in Simulation 255 Computational and Applied Mathematics 220 Applied Mathematical Modelling 219 Numerische Mathematik 209 Communications in Nonlinear Science and Numerical Simulation 205 SIAM Journal on Numerical Analysis 203 International Journal for Numerical Methods in Engineering 186 Mathematics of Computation 182 Advances in Difference Equations 175 Advances in Computational Mathematics 173 SIAM Journal on Scientific Computing 163 Applied Mathematics Letters 163 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 153 Journal of Mathematical Analysis and Applications 143 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 111 Computer Physics Communications 111 Calcolo 103 International Journal for Numerical Methods in Fluids 93 Computational Methods in Applied Mathematics 90 Abstract and Applied Analysis 88 International Journal of Numerical Analysis and Modeling 88 Communications in Computational Physics 87 Computational Mechanics 86 M\(^3\)AS. 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Académie des Sciences, Paris 23 Numerical Mathematics: Theory, Methods and Applications 23 International Journal of Differential Equations ...and 504 more Journals all top 5 Cited in 57 Fields 14,080 Numerical analysis (65-XX) 9,102 Partial differential equations (35-XX) 4,406 Fluid mechanics (76-XX) 1,642 Mechanics of deformable solids (74-XX) 1,152 Ordinary differential equations (34-XX) 952 Real functions (26-XX) 800 Biology and other natural sciences (92-XX) 596 Integral equations (45-XX) 496 Calculus of variations and optimal control; optimization (49-XX) 457 Classical thermodynamics, heat transfer (80-XX) 445 Optics, electromagnetic theory (78-XX) 343 Statistical mechanics, structure of matter (82-XX) 333 Approximations and expansions (41-XX) 321 Probability theory and stochastic processes (60-XX) 296 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 255 Systems theory; control (93-XX) 233 Operator theory (47-XX) 214 Dynamical systems and ergodic theory (37-XX) 195 Geophysics (86-XX) 194 Special functions (33-XX) 155 Computer science (68-XX) 133 Harmonic analysis on Euclidean spaces (42-XX) 113 Quantum theory (81-XX) 96 Integral transforms, operational calculus (44-XX) 93 Operations research, mathematical programming (90-XX) 90 Functional analysis (46-XX) 83 Potential theory (31-XX) 79 Linear and multilinear algebra; matrix theory (15-XX) 78 Difference and functional equations (39-XX) 77 Global analysis, analysis on manifolds (58-XX) 68 Statistics (62-XX) 57 Information and communication theory, circuits (94-XX) 43 Measure and integration (28-XX) 42 Mechanics of particles and systems (70-XX) 28 Differential geometry (53-XX) 26 Functions of a complex variable (30-XX) 23 Number theory (11-XX) 18 History and biography (01-XX) 15 General and overarching topics; collections (00-XX) 15 Combinatorics (05-XX) 15 Astronomy and astrophysics (85-XX) 8 Convex and discrete geometry (52-XX) 8 General topology (54-XX) 7 Relativity and gravitational theory (83-XX) 5 Geometry (51-XX) 5 Mathematics education (97-XX) 4 Nonassociative rings and algebras (17-XX) 4 Group theory and generalizations (20-XX) 3 Mathematical logic and foundations (03-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Sequences, series, summability (40-XX) 3 Algebraic topology (55-XX) 2 Field theory and polynomials (12-XX) 2 Topological groups, Lie groups (22-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) Citations by Year