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: http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1098-2426/issues Comments: Journal Documents Indexed: 2,104 Publications (since 1985) References Indexed: 1,853 Publications with 44,831 References. all top 5 Latest Issues 39, No. 6 (2023) 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) 23, No. 6 (2007) 23, No. 5 (2007) 23, No. 4 (2007) 23, No. 3 (2007) 23, No. 2 (2007) 23, No. 1 (2007) 22, No. 6 (2006) 22, No. 5 (2006) 22, No. 4 (2006) 22, No. 3 (2006) 22, No. 2 (2006) 22, No. 1 (2006) 21, No. 6 (2005) 21, No. 5 (2005) 21, No. 4 (2005) 21, No. 3 (2005) 21, No. 2 (2005) 21, No. 1 (2005) 20, No. 6 (2004) 20, No. 5 (2004) 20, No. 4 (2004) 20, No. 3 (2004) 20, No. 2 (2004) ...and 93 more Volumes all top 5 Authors 44 Dehghan Takht Fooladi, Mehdi 28 Wang, Hong 27 Sun, Zhizhong 23 He, Yinnian 20 Herrera, Ismael 19 Mohanty, Ranjan Kumar 17 Chen, Zhangxin 17 Mickens, Ronald Elbert 16 Hayat, Tasawar 15 Dai, Weizhong 15 Ewing, Richard Edward 14 Rui, Hongxing 13 Ganji, Davood Domiri 13 Whiteman, John Robert 12 Khaliq, Abdul Q. M. 12 Layton, William J. 12 Li, Jian 12 Ma, Yichen 12 Zhang, Zhimin 11 Allen, Myron Bartlett III 11 Lin, Yanping 11 Ye, Xiu 10 Gatica, Gabriel N. 10 Hromadka, Theodore V. II 10 Omrani, Khaled 10 Pani, Amiya Kumar 10 Pinder, George Francis 10 Sezer, Mehmet 10 Stephan, Ernst Peter 10 Wang, Kaixin 10 Yuan, Yirang 9 Al-Lawatia, Mohamed 9 Babuška, Ivo 9 Cooke, Charlie H. 9 Heuer, Norbert 9 Hou, Yanren 9 Li, Jichun 8 Carey, Graham Francis 8 Celia, Michael A. 8 Ervin, Vincent J. 8 Feng, Xinlong 8 Lin, Tao 8 Power, Henry 8 Shi, Dongyang 8 Vong, Seakweng 8 Zhang, Jun 8 Zhu, Qiding 7 Bürger, Raimund 7 Cheng, Aijie 7 Chou, So-Hsiang 7 Huang, Yunqing 7 Lazarov, Raytcho D. 7 Li, Kaitai 7 Ma, Heping 7 Mattheij, Robert M. M. 7 Oden, John Tinsley 7 Rebholz, Leo G. 7 Sheen, Dongwoo 7 Sheng, Qin 7 Whitley, Robert J. 7 Yang, Danping 6 Akgül, Ali 6 Biazar, Jafar 6 Bruch, John C. jun. 6 Cai, Zhiqiang 6 Chen, Wen 6 Dağ, İdris 6 Eymard, Robert 6 Farhloul, Mohamed 6 Gülsu, Mustafa 6 Jafari, Hossein 6 Karageorghis, Andreas 6 Kwak, Do Young 6 Li, Xiaoli 6 Macías-Díaz, Jorge Eduardo 6 Mai-Duy, Nam 6 Mei, Liquan 6 Nassar, Raja F. 6 Pao, Chia-Ven 6 Park, Eun-Jae 6 Rivière, Beatrice M. 6 Tatari, Mehdi 6 Tran-Cong, Thanh 6 Twizell, E. H. 6 Wu, Li 6 Xu, Da 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 Chalons, Christophe 5 Chen, Ching-Shyang 5 Chen, Yanping 5 Deng, Weihua 5 He, Wenming 5 Hu, Xiuling 5 Jain, Rakesh Kumar ...and 2,622 more Authors all top 5 Fields 1,839 Numerical analysis (65-XX) 1,335 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 all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,803 Publications have been cited 20,649 times in 13,917 Documents Cited by ▼ Year ▼ Variational formulation for the stationary fractional advection dispersion equation. Zbl 1095.65118Ervin, Vincent J.; Roop, John Paul 422 2006 Simple nonconforming quadrilateral Stokes element. Zbl 0742.76051Rannacher, R.; Turek, S. 285 1992 Solving nonlinear fractional partial differential equations using the homotopy analysis method. Zbl 1185.65187Dehghan, Mehdi; Manafian, Jalil; Saadatmandi, Abbas 265 2010 \(H\)-\(p\) clouds – an \(h\)-\(p\) meshless method. Zbl 0869.65069Duarte, C. Armando; Oden, J. Tinsley 214 1996 Exponential convergence and \(h\)-\(c\) multiquadric collocation method for partial differential equations. Zbl 1031.65121Cheng, A. H.-D.; Golberg, M. A.; Kansa, E. J.; Zammito, G. 192 2003 Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A. 166 2000 Variational solution of fractional advection dispersion equations on bounded domains in \(\mathbb R^{d}\). Zbl 1117.65169Ervin, Vincent J.; Roop, John Paul 154 2007 Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Zbl 1058.76046Kurganov, Alexander; Tadmor, Eitan 152 2002 A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions. Zbl 1208.65164Demkowicz, L.; Gopalakrishnan, J. 140 2011 Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes. Zbl 1314.65151Mu, Lin; Wang, Junping; Ye, Xiu 125 2014 On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation. Zbl 1059.65072Dehghan, Mehdi 123 2005 An immersed finite element space and its approximation capability. Zbl 1057.65085Li, Z.; Lin, T.; Lin, Y.; Rogers, R. C. 115 2004 Contributions to the mathematics of the nonstandard finite difference method and applications. Zbl 0988.65055Anguelov, Roumen; Lubuma, Jean M.-S. 114 2001 Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations. Zbl 1196.65154Liao, Honglin; Sun, Zhizhong 112 2010 A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications. Zbl 1084.65099Dehghan, Mehdi 95 2006 Virtual element methods for parabolic problems on polygonal meshes. Zbl 1336.65171Vacca, Giuseppe; Beirão da Veiga, Lourenco 92 2015 A numerical method for solving the hyperbolic telegraph equation. Zbl 1145.65078Dehghan, Mehdi; Shokri, Ali 92 2008 A decoupling method with different subdomain time steps for the nonstationary Stokes-Darcy model. Zbl 1364.76096Shan, Li; Zheng, Haibiao; Layton, William J. 87 2013 The method of approximate particular solutions for solving certain partial differential equations. Zbl 1242.65267Chen, C. S.; Fan, C. M.; Wen, P. H. 86 2012 Numerical approximation of Riemann-Liouville definition of fractional derivative: from Riemann-Liouville to Atangana-Baleanu. Zbl 1417.65113Atangana, Abdon; Gómez-aguilar, J. F. 84 2018 Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method. Zbl 1186.65136Saadatmandi, Abbas; Dehghan, Mehdi 80 2010 Approximation capability of a bilinear immersed finite element space. Zbl 1154.65090He, Xiaoming; Lin, Tao; Lin, Yanping 79 2008 Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition. Zbl 1114.65094Mickens, Ronald E. 75 2007 Error estimates for a finite volume element method for parabolic equations in convex polygonal domains. Zbl 1067.65092Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. 75 2004 Discrete duality finite volume schemes for Leray-Lions-type elliptic problems on general 2D meshes. Zbl 1111.65101Andreianov, Boris; Boyer, Franck; Hubert, Florence 74 2007 Finite volume element approximations of nonlocal reactive flows in porous media. Zbl 0961.76050Ewing, Richard; Lazarov, Raytcho; Lin, Yanping 73 2000 A high-order compact formulation for the 3D Poisson equation. Zbl 0866.65066Spotz, W. F.; Carey, G. F. 73 1996 A compact multipoint flux approximation method with improved robustness. Zbl 1230.65114Aavatsmark, I.; Eigestad, G. T.; Mallison, B. T.; Nordbotten, J. M. 69 2008 An unconditionally stable uncoupled scheme for a triphasic Cahn-Hilliard/Navier-Stokes model. Zbl 1364.76091Minjeaud, Sebastian 64 2013 Unified finite element discretizations of coupled Darcy-Stokes flow. Zbl 1157.76026Karper, Trygve; Mardal, Kent-Andre; Winther, Ragnar 64 2009 On the relationship between finite volume and finite element methods applied to the Stokes equations. Zbl 1017.76057Ye, Xiu 63 2001 An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation. Zbl 0990.65101Mohanty, R. K.; Jain, M. K. 62 2001 ODE solvers and the method of lines. Zbl 0826.65082Shampine, L. F. 61 1994 Efficient numerical methods for pricing American options under stochastic volatility. Zbl 1152.91516Ikonen, Samuli; Toivanen, Jari 61 2008 Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement. Zbl 1069.65104Dehghan, Mehdi 60 2005 Variational multiscale proper orthogonal decomposition: Navier-Stokes equations. Zbl 1452.76048Iliescu, Traian; Wang, Zhu 60 2014 Numerical analysis and computational testing of a high accuracy Leray-deconvolution model of turbulence. Zbl 1191.76061Layton, William; Manica, Carolina C.; Neda, Monika; Rebholz, Leo G. 59 2008 High order implicit collocation method for the solution of two-dimensional linear hyperbolic equation. Zbl 1156.65087Dehghan, Mehdi; Mohebbi, Akbar 59 2009 Stabilized Crouzeix-Raviart element for the Darcy-Stokes problem. Zbl 1077.76037Burman, Erik; Hansbo, Peter 58 2005 Weak Galerkin finite element methods for parabolic equations. Zbl 1307.65133Li, Qiaoluan H.; Wang, Junping 57 2013 Extension of high-order compact schemes to time-dependent problems. Zbl 0998.65101Spotz, W. F.; Carey, G. F. 57 2001 An analysis of the finite element method for natural convection problems. Zbl 0703.76071Boland, J.; Layton, W. 55 1990 A multilevel finite element method in space-time for the Navier-Stokes problem. Zbl 1081.76044He, Yinnian; Liu, Kam-Moon 55 2005 Exact solutions to a finite-difference model of a nonlinear reaction- advection equation: Implications for numerical analysis. Zbl 0693.65059Mickens, Ronald E. 54 1989 Finite volume methods on Voronoi meshes. Zbl 0903.65083Mishev, Ilya D. 54 1998 Convergence analysis of a new mixed finite element method for Biot’s consolidation model. Zbl 1350.74024Yi, Son-Young 54 2014 Ill-conditioning in the virtual element method: stabilizations and bases. Zbl 1407.65294Mascotto, Lorenzo 53 2018 A meshless method for numerical solution of a linear hyperbolic equation with variable coefficients in two space dimensions. Zbl 1159.65084Dehghan, Mehdi; Shokri, Ali 53 2009 Some remarks on Zienkiewicz-Zhu estimator. Zbl 0806.73069Rodríguez, Rodolfo 53 1994 Numerical solution of parametrized Navier-Stokes equations by reduced basis methods. Zbl 1178.76238Quarteroni, Alfio; Rozza, Gianluigi 53 2007 Immersed finite element methods for parabolic equations with moving interface. Zbl 1266.65165He, Xiaoming; Lin, Tao; Lin, Yanping; Zhang, Xu 52 2013 Compact difference schemes for heat equation with Neumann boundary conditions. Zbl 1181.65115Sun, Zhi-Zhong 52 2009 Numerical algorithm for solving time-fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions. Zbl 1407.65239Arqub, Omar Abu; Al-Smadi, Mohammed 51 2018 Trefftz, collocation, and other boundary methods – a comparison. Zbl 1223.65093Li, Zi-Cai; Lu, Tzon-Tzer; Huang, Hung-Tsai; Cheng, Alexander H.-D. 51 2007 Finite difference discretization of the Benjamin-Bona-Mahony-Burgers equation. Zbl 1133.65067Omrani, Khaled; Ayadi, Mekki 50 2008 A second-order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection. Zbl 1407.76095Feng, Wenqiang; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru 49 2018 A Fourier pseudospectral method for the “good” Boussinesq equation with second-order temporal accuracy. Zbl 1327.65195Cheng, Kelong; Feng, Wenqiang; Gottlieb, Sigal; Wang, Cheng 49 2015 Domain decomposition for radial basis meshless methods. Zbl 1048.65124Li, Jichun; Hon, Y. C. 49 2004 Polynomial particular solutions for certain partial differential operators. Zbl 1019.65096Golberg, M. A.; Muleshkov, A. S.; Chen, C. S.; Cheng, A. H.-D. 49 2003 Solutions of time-fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space. Zbl 1407.65153Arqub, Omar Abu 48 2018 A numerical method for one-dimensional nonlinear sine-Gordon equation using collocation and radial basis functions. Zbl 1135.65380Dehghan, M.; Shokri, Ali 48 2008 High order compact solution of the one-space-dimensional linear hyperbolic equation. Zbl 1151.65071Mohebbi, Akbar; Dehghan, Mehdi 48 2008 The use of Chebyshev cardinal functions for solution of the second-order one-dimensional telegraph equation. Zbl 1169.65102Dehghan, Mehdi; Lakestani, Mehrdad 47 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 0854.65089Babuška, Ivo; Strouboulis, T.; Upadhyay, C. S.; Gangaraj, S. K. 47 1996 Mixed finite element methods for generalized Forchheimer flow in porous media. Zbl 1141.76425Park, Eun-Jae 47 2005 Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation. Zbl 1272.76217Betcke, T.; Chandler-Wilde, S. N.; Graham, I. G.; Langdon, S.; Lindner, M. 47 2011 A two-grid stabilization method for solving the steady-state Navier-Stokes equations. Zbl 1089.76034Kaya, Songul; Rivière, Béatrice 46 2006 A splitting positive definite mixed element method for miscible displacement of compressible flow in porous media. Zbl 1008.76044Yang, Danping 46 2001 Error estimates for finite volume element methods for general second-order elliptic problems. Zbl 1040.65091Wu, Haijun; Li, Ronghua 46 2003 Numerical solutions of some parabolic inverse problems. Zbl 0709.65105Cannon, John R.; Yin, Hong-Ming 45 1990 Determination of a control function in three-dimensional parabolic equations by Legendre pseudospectral method. Zbl 1252.65161Shamsi, M.; Dehghan, Mehdi 44 2012 \(L^p\) error estimates and superconvergence for covolume or finite volume element methods. Zbl 1029.65123Chou, So-Hsiang; Kwak, Do Y.; Li, Qian 44 2003 A positivity-preserving nonstandard finite difference scheme for the damped wave equation. Zbl 1062.65086Mickens, Ronald E.; Jordan, P. M. 44 2004 High-order difference schemes for two-dimensional elliptic equations. Zbl 0634.65078Gupta, Murli M.; Manohar, Ram P.; Stephenson, John W. 43 1985 Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws. Zbl 1071.65122Kurganov, Alexander; Petrova, Guergana 43 2005 A two-grid method for mixed finite-element solution of reaction-diffusion equations. Zbl 0929.65079Wu, Li; Allen, Myron B. III 43 1999 On the convergence of the multi-point flux approximation O-method: numerical experiments for discontinuous permeability. Zbl 1089.76037Eigestad, G. T.; Klausen, R. A. 43 2005 Some temporal second order difference schemes for fractional wave equations. Zbl 1352.65269Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua 43 2016 Numerical methods for structured population models: The escalator boxcar train. Zbl 0658.92016de Roos, A. M. 42 1988 The convergence of the bilinear and linear immersed finite element solutions to interface problems. Zbl 1241.65090He, Xiaoming; Lin, Tao; Lin, Yanping 42 2012 A coupling of nonconforming and mixed finite element methods for Biot’s consolidation model. Zbl 1274.74455Yi, Son-Young 42 2013 A second-order splitting combined with orthogonal cubic spline collocation method for the Rosenau equation. Zbl 0930.65111Manickam, S. Arul Veda; Pani, Amiya K.; Chung, Sang K. 42 1998 An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh. Zbl 0822.65085Herbin, Raphaèle 42 1995 High-order numerical methods for one-dimensional parabolic singularly perturbed problems with regular layers. Zbl 1073.65079Clavero, C.; Gracia, J. L.; Jorge, J. C. 42 2005 Analysis of some finite difference schemes for two-dimensional Ginzburg-Landau equation. Zbl 1233.65062Wang, Tingchun; Guo, Boling 41 2011 A meshless method using the radial basis functions for numerical solution of the regularized long wave equation. Zbl 1195.65142Shokri, Ali; Dehghan, Mehdi 41 2010 Application of a Mickens finite-difference scheme to the cylindrical Bratu-Gelfand problem. Zbl 1048.65102Buckmire, Ron 41 2004 Convergence of multipoint flux approximations on quadrilateral grids. Zbl 1106.76043Klausen, Runhild A.; Winther, Ragnar 41 2006 Mixed finite element methods for incompressible flow: stationary Stokes equations. Zbl 1267.76059Cai, Zhiqiang; Tong, Charles; Vassilevski, Panayot S.; Wang, Chunbo 40 2010 Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem. Zbl 1381.76158Colmenares, Eligio; Gatica, Gabriel N.; Oyarzúa, Ricardo 40 2016 An efficient high-order algorithm for solving systems of reaction-diffusion equations. Zbl 0997.65105Liao, Wenyuan; Zhu, Jianping; Khaliq, Abdul Q. M. 40 2002 Numerical solution of nonlinear Schrödinger equation by using time-space pseudo-spectral method. Zbl 1195.65137Dehghan, Mehdi; Taleei, Ameneh 39 2010 Nonstandard finite difference schemes for reaction-diffusion equations. Zbl 0926.65085Mickens, Ronald E. 39 1999 Trefftz method: A general theory. Zbl 0978.65114Herrera, Ismael 39 2000 Numerical solution of the one-dimensional wave equation with an integral condition. Zbl 1112.65097Saadatmandi, Abbas; Dehghan, Mehdi 39 2007 The boundary integral equation approach for numerical solution of the one-dimensional sine-Gordon equation. Zbl 1153.65099Dehghan, Mehdi; Mirzaei, Davoud 39 2008 Nonintrusive reduced-order modeling of parametrized time-dependent partial differential equations. Zbl 1274.65270Audouze, Christophe; De Vuyst, Florian; Nair, Prasanth B. 38 2013 Legendre wavelet method for numerical solutions of partial differential equations. Zbl 1186.65152Liu, Nanshan; Lin, En-Bing 38 2010 The h-p version of the finite element method for parabolic equations. I: The p-version in time. Zbl 0693.65078Babuška, Ivo; Janik, Tadeusz 37 1989 The numerical solution of the second Painlevé equation. Zbl 1172.65037Dehghan, Mehdi; Shakeri, Fatemeh 37 2009 Fast high order difference schemes for the time fractional telegraph equation. Zbl 1452.65164Liang, Yuxiang; Yao, Zhongsheng; Wang, Zhibo 18 2020 A reduced-order extrapolated Crank-Nicolson collocation spectral method based on proper orthogonal decomposition for the two-dimensional viscoelastic wave equations. Zbl 1457.65146Luo, Zhendong; Jin, Shiju 11 2020 Convergence and stability estimates in difference setting for time-fractional parabolic equations with functional delay. Zbl 1452.65159Hendy, Ahmed S.; Pimenov, Vladimir G.; Macías-Díaz, Jorge E. 7 2020 A fully conservative block-centered finite difference method for Darcy-Forchheimer incompressible miscible displacement problem. Zbl 1451.76083Li, Xiaoli; Rui, Hongxing 6 2020 Stokes equations under nonlinear slip boundary conditions coupled with the heat equation: a priori error analysis. Zbl 1452.65331Djoko, Jules K.; Konlack, Virginie S.; Mbehou, Mohamed 4 2020 Convergence of a positive nonlinear control volume finite element scheme for an anisotropic seawater intrusion model with sharp interfaces. Zbl 1452.65246Oulhaj, Ahmed Ait Hammou; Maltese, David 3 2020 \(H^1\)-superconvergence of finite difference method based on \(Q_1\)-element on quasi-uniform mesh for the 3D Poisson equation. Zbl 1450.65137Feng, Xinlong; He, Ruijian; Chen, Zhangxin 2 2020 Staggered Taylor-Hood and Fortin elements for Stokes equations of pressure boundary conditions in Lipschitz domain. Zbl 1450.65145Du, Zhijie; Duan, Huoyuan; Liu, Wei 1 2020 Convergence analysis of virtual element methods for semilinear parabolic problems on polygonal meshes. Zbl 1419.65040Adak, Dibyendu; Natarajan, E.; Kumar, Sarvesh 31 2019 An efficient difference scheme for the coupled nonlinear fractional Ginzburg-Landau equations with the fractional Laplacian. Zbl 1419.65024Li, Meng; Huang, Chengming 24 2019 A numerical scheme based on Bernoulli wavelets and collocation method for solving fractional partial differential equations with Dirichlet boundary conditions. Zbl 1415.65237Rahimkhani, Parisa; Ordokhani, Yadollah 23 2019 Approximation capabilities of immersed finite element spaces for elasticity interface problems. Zbl 1418.65174Guo, Ruchi; Lin, Tao; Lin, Yanping 14 2019 Numerical approximation of the generalized regularized long wave equation using Petrov-Galerkin finite element method. Zbl 1431.65169Bhowmik, Samir Kumar; Karakoc, Seydi B. G. 12 2019 Numerical study of a conservative weighted compact difference scheme for the symmetric regularized long wave equations. Zbl 1416.76185Li, Shuguang 11 2019 High-order local discontinuous Galerkin method for a fractal mobile/immobile transport equation with the Caputo-Fabrizio fractional derivative. Zbl 1416.82040Zhang, Min; Liu, Yang; Li, Hong 11 2019 A numerical approach for solving weakly singular partial integro-differential equations via two-dimensional-orthonormal Bernstein polynomials with the convergence analysis. Zbl 1418.65145Mirzaee, Farshid; Alipour, Sahar; Samadyar, Nasrin 11 2019 Maximum norm error analysis of an unconditionally stable semi-implicit scheme for multi-dimensional Allen-Cahn equations. Zbl 1418.65099He, Dongdong; Pan, Kejia 10 2019 Reconstructing unknown nonlinear boundary conditions in a time-fractional inverse reaction-diffusion-convection problem. Zbl 1418.65120Babaei, Afshin; Banihashemi, Seddigheh 10 2019 On the numerical approximation of \(p\)-biharmonic and \(\infty\)-biharmonic functions. Zbl 1419.65113Katzourakis, Nikos; Pryer, Tristan 9 2019 A DGFEM for nondivergence form elliptic equations with cordes coefficients on curved domains. Zbl 1425.65163Kawecki, Ellya L. 9 2019 Spectrally accurate energy-preserving methods for the numerical solution of the “good” Boussinesq equation. Zbl 1418.65117Brugnano, Luigi; Gurioli, Gianmarco; Zhang, Chengjian 9 2019 A finite element approach for analysis and computational modelling of coupled reaction diffusion models. Zbl 1418.65138Yadav, Om Prakash; Jiwari, Ram 9 2019 Numerical solution of nonlinear partial quadratic integro-differential equations of fractional order via hybrid of block-pulse and parabolic functions. Zbl 1418.65152Mirzaee, Farshid; Alipour, Sahar 9 2019 The method of fundamental solutions for the Oseen steady-state viscous flow past obstacles of known or unknown shapes. Zbl 1430.76390Karageorghis, Andreas; Lesnic, Daniel 8 2019 Transcendental Bernstein series for solving reaction-diffusion equations with nonlocal boundary conditions through the optimization technique. Zbl 1431.65184Avazzadeh, Zakieh; Hassani, Hossein 8 2019 Unconditional superconvergent analysis of a new mixed finite element method for Ginzburg-Landau equation. Zbl 1419.65042Shi, Dongyang; Liu, Qian 8 2019 A novel variable-order fractional nonlinear Klein Gordon model: a numerical approach. Zbl 1425.65091Sweilam, Nasser H.; Al-mekhlafi, Seham M.; Albalawi, Anan O. 8 2019 A linear, decoupled fractional time-stepping method for the nonlinear fluid-fluid interaction. Zbl 1423.76253Li, Jian; Huang, Pengzhan; Zhang, Chong; Guo, Gaihui 8 2019 Spectral collocation methods for nonlinear weakly singular Volterra integro-differential equations. Zbl 1416.65236Shi, Xiulian; Wei, Yunxia; Huang, Fenglin 8 2019 Analysis of the operator splitting scheme for the Cahn-Hilliard equation with a viscosity term. Zbl 1430.35201Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong 7 2019 Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn-Hilliard equation. Zbl 1418.65134Liu, Chen; Frank, Florian; Rivière, Béatrice M. 7 2019 Finite-volume scheme for a degenerate cross-diffusion model motivated from ion transport. Zbl 1418.65157Cancès, Clément; Chainais-Hillairet, Claire; Gerstenmayer, Anita; Jüngel, Ansgar 7 2019 Superconvergence analysis of finite element method for Poisson-Nernst-Planck equations. Zbl 1418.65137Shi, Dongyang; Yang, Huaijun 7 2019 Fractional Crank-Nicolson-Galerkin finite element scheme for the time-fractional nonlinear diffusion equation. Zbl 1431.65133Kumar, Dileep; Chaudhary, Sudhakar; Kumar, V. V. K. Srinivas 6 2019 Superconvergence of the direct discontinuous Galerkin method for a time-fractional initial-boundary value problem. Zbl 1431.65216Huang, Chaobao; Stynes, Martin 6 2019 Uniformly convergent novel finite difference methods for singularly perturbed reaction-diffusion equations. Zbl 1431.65198He, Xuefei; Wang, Kun 6 2019 Preconditioning trace coupled \(3d-1d\) systems using fractional Laplacian. Zbl 1437.65014Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael 6 2019 Weak Galerkin finite element methods for a fourth order parabolic equation. Zbl 1425.65107Chai, Shimin; Zou, Yongkui; Zhou, Chenguang; Zhao, Wenju 6 2019 High-order characteristic-tracking strategy for simulation of a nonlinear advection-diffusion equation. Zbl 1425.65099Bak, Soyoon 6 2019 Patch-Wise local projection stabilized finite element methods for convection-diffusion-reaction problems. Zbl 1418.65171Dond, Asha K.; Gudi, Thirupathi 6 2019 A parareal approach of semi-linear parabolic equations based on general waveform relaxation. Zbl 1431.65135Li, Jun; Jiang, Yao-lin; Miao, Zhen 5 2019 A fitted numerical method for parabolic turning point singularly perturbed problems with an interior layer. Zbl 1431.65136Munyakazi, Justin B.; Patidar, Kailash C.; Sayi, Mbani T. 5 2019 Finite difference schemes for the two-dimensional semilinear wave equation. Zbl 1419.65008Achouri, Talha 5 2019 Partitioned penalty methods for the transport equation in the evolutionary Stokes-Darcy-transport problem. Zbl 1419.76437Ervin, V.; Kubacki, M.; Layton, W.; Moraiti, M.; Si, Z.; Trenchea, C. 5 2019 A steady barycentric Lagrange interpolation method for the 2D higher-order time-fractional telegraph equation with nonlocal boundary condition with error analysis. Zbl 1425.65126Yi, Shi-Chao; Yao, Lin-Quan 5 2019 New a priori analysis of first-order system least-squares finite element methods for parabolic problems. Zbl 1425.65097Führer, Thomas; Karkulik, Michael 5 2019 Numerical scheme for solving system of fractional partial differential equations with Volterra-type integral term through two-dimensional block-pulse functions. Zbl 1425.65214Xie, Jiaquan; Ren, Zhongkai; Li, Yugui; Wang, Xiaogang; Wang, Tao 5 2019 Development of a \({P}_2\) element with optimal \({L}^2\) convergence for biharmonic equation. Zbl 1418.65181Mu, Lin; Ye, Xiu; Zhang, Shangyou 5 2019 Operator splitting for numerical solution of the modified Burgers’ equation using finite element method. Zbl 1418.65148Uçar, Yusuf; Yağmurlu, Nuri M.; Çelikkaya, İhsan 5 2019 Quasi-Toeplitz splitting iteration methods for unsteady space-fractional diffusion equations. Zbl 1418.65097Dai, Ping-fei; Wu, Qing-Biao; Zhu, Sheng-Feng 5 2019 Analytical and numerical solutions of a two-dimensional multi-term time-fractional Oldroyd-B model. Zbl 1418.76039Zhang, Jinghua; Liu, Fawang; Anh, Vo V. 5 2019 An analysis of the Robert-Asselin time filter for the correction of nonphysical acoustics in an artificial compression method. Zbl 1418.76031Decaria, Victor; Layton, William; Mclaughlin, Michael 5 2019 A fully discrete spectral method for fractional Cattaneo equation based on Caputo-Fabrizo derivative. Zbl 1418.65104Li, Haonan; Lü, Shujuan; Xu, Tao 5 2019 A Crank-Nicolson collocation spectral method for the two-dimensional viscoelastic wave equation. Zbl 1418.76037Jin, Shiju; Luo, Zhendong 5 2019 Energy stable numerical scheme for the viscous Cahn-Hilliard-Navier-Stokes equations with moving contact line. Zbl 1418.65124Cherfils, Laurence; Petcu, Madalina 5 2019 An invariant-region-preserving limiter for DG schemes to isentropic Euler equations. Zbl 1416.76153Jiang, Yi; Liu, Hailiang 4 2019 Optimal estimates on stabilized finite volume methods for the incompressible Navier-Stokes model in three dimensions. Zbl 1419.65039Li, Jian; Lin, Xiaolin; Zhao, Xin 4 2019 A posteriori error analysis of an augmented fully mixed formulation for the nonisothermal Oldroyd-Stokes problem. Zbl 1419.76435Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo 4 2019 Extension of a simplified Baldwin-Lomax model to nonequilibrium turbulence: model, analysis and algorithms. Zbl 1423.76271Rong, Yao; Layton, William; Zhao, Haiyun 4 2019 A boundary element approach for solving plane elastostatic equations of anisotropic functionally graded materials. Zbl 1416.74095Ang, Whye-Teong 4 2019 Local and parallel finite element method for solving the biharmonic eigenvalue problem of plate vibration. Zbl 1416.74093Zhao, Ruilin; Yang, Yidu; Bi, Hai 4 2019 Numerical scheme with convergence for a generalized time-fractional telegraph-type equation. Zbl 1418.65102Kumar, Kamlesh; Pandey, Rajesh K.; Sharma, Shiva; Xu, Yufeng 4 2019 Adaptive operator splitting finite element method for Allen-Cahn equation. Zbl 1418.65132Huang, Yunqing; Yang, Wei; Wang, Hao; Cui, Jintao 4 2019 Determination of unknown functions in a mathematical model of ductal carcinoma in situ. Zbl 1430.35231Garshasbi, Morteza 3 2019 Analysis of the immersed boundary method for a finite element Stokes problem. Zbl 1419.65121Saito, Norikazu; Sugitani, Yoshiki 3 2019 Decoupled characteristic stabilized finite element method for time-dependent Navier-Stokes/Darcy model. Zbl 1419.65064Jia, Xiaofeng; Li, Jichun; Jia, Hongen 3 2019 The finite volume method based on the Crouzeix-Raviart element for a fracture model. Zbl 1423.76293Chen, Shuangshuang; Li, Xiaoli; Rui, Hongxing 3 2019 Conservative finite difference methods for fractional Schrödinger-Boussinesq equations and convergence analysis. Zbl 1418.65103Liao, Feng; Zhang, Luming; Hu, Xiuling 3 2019 A fast second-order difference scheme for the space-time fractional equation. Zbl 1418.65109Xu, Weiyan; Sun, Hong 3 2019 A second-order finite difference method for fractional diffusion equation with Dirichlet and fractional boundary conditions. Zbl 1416.65285Xie, Changping; Fang, Shaomei 3 2019 Time evolution of discrete fourth-order elliptic operators. Zbl 1418.65096Ben-Artzi, Matania; Croisille, Jean-Pierre; Fishelov, Dalia 3 2019 A fourth-order \({H}^1\)-Galerkin mixed finite element method for Kuramoto-Sivashinsky equation. Zbl 1418.65126Doss, L. Jones Tarcius; Nandini, A. P. 3 2019 Stability and convergence of the mark and cell finite difference scheme for Darcy-Stokes-Brinkman equations on non-uniform grids. Zbl 1416.76191Sun, Yue; Rui, Hongxing 3 2019 Vorticity-Pressure formulations for the Brinkman-Darcy coupled problem. Zbl 1416.76092Anaya, Verónica; Mora, David; Reales, Carlos; Ruiz-Baier, Ricardo 3 2019 An \({h}\)-\({p}\) version of the Chebyshev spectral collocation method for nonlinear delay differential equations. Zbl 1416.65179Meng, Tingting; Wang, Zhongqing; Yi, Lijun 3 2019 Discontinuous Galerkin method for solving the black-oil problem in porous media. Zbl 1416.76097Cappanera, Loïc; Rivière, Béatrice 3 2019 A numerical scheme for a kinetic model for mixtures in the diffusive limit using the moment method. Zbl 1418.65119Bondesan, Andrea; Boudin, Laurent; Grec, Bérénice 3 2019 Maximum error estimates for a compact difference scheme of the coupled nonlinear Schrödinger-Boussinesq equations. Zbl 1430.35208Hu, Xiuling; Wang, Shanshan; Zhang, Luming 2 2019 Fundamental solutions and asymptotic numerical methods for bifurcation analysis of nonlinear bi-harmonic problems. Zbl 1431.65232Tri, Abdeljalil; Askour, Omar; Braikat, Bouazza; Zahrouni, Hamid; Potier-ferry, Michel 2 2019 A correction method for finding lower bounds of eigenvalues of the second-order elliptic and Stokes operators. Zbl 1431.65210Zhang, Yu; Yang, Yidu 2 2019 New approach to the Lax-Wendroff modified differential equation for linear and nonlinear advection. Zbl 1431.65138Winnicki, Ireneusz; Jasinski, Janusz; Pietrek, Slawomir 2 2019 A partially penalized \(P_1/CR\) immersed finite element method for planar elasticity interface problems. Zbl 1430.74137Liu, Angran; Chen, Jinru 2 2019 A numerical method for a nonlinear structured population model with an indefinite growth rate coupled with the environment. Zbl 1431.65129Ackleh, Azmy S.; Miller, Robert L. 2 2019 Least-square collocation and Lagrange multipliers for Taylor meshless method. Zbl 1419.65134Yang, Jie; Hu, Heng; Potier-Ferry, Michel 2 2019 A mixed \(hp\) FEM for the approximation of fourth-order singularly perturbed problems on smooth domains. Zbl 1462.65182Constantinou, P.; Franz, S.; Ludwig, L.; Xenophontos, C. 2 2019 An upwind center difference parallel method and numerical analysis for the displacement problem with moving boundary. Zbl 1423.76314Li, Changfeng; Yuan, Yirang 2 2019 Two grid finite element discretization method for semi-linear hyperbolic integro-differential equations. Zbl 1425.65102Chen, Luoping; Chen, Yanping; Huang, Yunqing 2 2019 Numerical solution of the Rosenau-KdV-RLW equation by operator splitting techniques based on B-spline collocation method. Zbl 1425.65125Özer, Sibel 2 2019 Energy conservation and super convergence analysis of the EC-S-FDTD schemes for Maxwell equations with periodic boundaries. Zbl 1416.78033Gao, Liping; Cao, Minmin; Shi, Rengang; Guo, Hui 2 2019 A study on a second order finite difference scheme for fractional advection-diffusion equations. Zbl 1418.65107Vong, Seakweng; Shi, Chenyang; Lyu, Pin 2 2019 A variable nonlinear splitting algorithm for reaction diffusion systems with self- and cross- diffusion. Zbl 1418.65095Beauregard, Matthew A.; Padgett, Joshua L. 2 2019 Nonconforming mixed finite elements for linear elasticity on simplicial grids. Zbl 1416.74086Hu, Jun; Ma, Rui 2 2019 Adaptive finite element solution of the porous medium equation in pressure formulation. Zbl 1418.65135Ngo, Cuong; Huang, Weizhang 2 2019 Quintic trigonometric spline based numerical scheme for nonlinear modified Burgers’ equation. Zbl 1418.65146Nair, Lakshmi Chandrasekharan; Awasthi, Ashish 2 2019 The local ultraconvergence of high-order finite element method for second-order elliptic problems with constant coefficients over a rectangular partition. Zbl 1431.65215He, Wen-ming 1 2019 Operator time-splitting techniques combined with quintic B-spline collocation method for the generalized Rosenau-KdV equation. Zbl 1431.65187Kutluay, Selçuk; Karta, Melike; Yağmurlu, Nuri M. 1 2019 Unconditionally stable modified methods for the solution of two- and three-dimensional telegraphic equation with Robin boundary conditions. Zbl 1419.65031Singh, Swarn; Singh, Suruchi; Lin, Ping; Arora, Rajni 1 2019 An adaptive finite element method for a time-dependent Stokes problem. Zbl 1419.65072Torres, Ricardo Prato; Domínguez, Catalina; Díaz, Stiven 1 2019 A posteriori error estimates for finite element approximations to the wave equation with discontinuous coefficients. Zbl 1425.65095Deka, Bhupen 1 2019 Numerical approximation of a concrete carbonation model: study of the \(\sqrt{t}\)-law of propagation. Zbl 1423.80029Zurek, Antoine 1 2019 ...and 1626 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 13,521 Authors 272 Dehghan Takht Fooladi, Mehdi 101 He, Yinnian 98 Shi, Dongyang 83 Huang, Yunqing 82 Wang, Hong 78 Gatica, Gabriel N. 76 Mohanty, Ranjan Kumar 68 Zhang, Zhimin 67 Băleanu, Dumitru I. 65 Chen, Yanping 64 Abbaszadeh, Mostafa 64 Feng, Xinlong 60 Li, Hong 60 Li, Jian 60 Rui, Hongxing 58 Sun, Zhizhong 57 Chen, Zhangxin 57 Li, Jichun 53 Liu, Yang 52 Huang, Pengzhan 52 Rebholz, Leo G. 52 Ruiz-Baier, Ricardo 51 Macías-Díaz, Jorge Eduardo 51 Xu, Da 49 Liu, Fawang 47 Hou, Yanren 46 Yang, Xiaofeng 46 Ye, Xiu 43 Li, Zi-Cai 43 Zhang, Tong 41 Heuer, Norbert 40 Yuan, Guangwei 39 Bhrawy, Ali Hassan 39 Zhang, Zhiyue 38 Chen, Wen 38 Khaliq, Abdul Q. M. 38 Wang, Cheng 37 Chen, Ching-Shyang 37 Demkowicz, Leszek F. 37 He, Xiaoming 37 Lin, Tao 36 Bürger, Raimund 36 Chen, Chuanjun 36 Dai, Weizhong 36 Führer, Thomas 36 Rozza, Gianluigi 36 Zhang, Shangyou 35 Liu, Chein-Shan 35 Mohebbi, Akbar 35 Oyarzúa, Ricardo 35 Zhang, Jun 34 Karageorghis, Andreas 34 Li, Xiaolin 33 Babuška, Ivo 33 Layton, William J. 33 Mei, Liquan 33 Omrani, Khaled 33 Quarteroni, Alfio M. 32 Kurganov, Alexander 32 Shang, Yueqiang 32 Yıldırım, Ahmet 32 Zhang, Luming 31 Li, Meng 31 Li, Xiaoli 31 Wang, Yuanming 30 Antonietti, Paola Francesca 30 Carstensen, Carsten 30 Doha, Eid H. 30 Feng, Minfu 30 Manafian Heris, Jalil 30 Pani, Amiya Kumar 29 Lubuma, Jean Mbaro-Saman 29 Luo, Zhendong 28 Arqub, Omar Abu 28 Li, Zhilin 28 Lin, Ji 28 Sezer, Mehmet 28 Sun, Weiwei 27 Herbin, Raphaèle 27 Mu, Lin 27 Turner, Ian William 27 Yüzbaşı, Şuayip 27 Zhang, Xu 26 Abbasbandy, Saeid 26 Fu, Hongfei 26 Parand, Kourosh 26 Zaky, Mahmoud A. 26 Zheng, Haibiao 26 Zheng, Xiangcheng 25 Ge, Yongbin 25 Huang, Hung-Tsai 25 John, Volker 25 Lakestani, Mehrdad 25 Manzini, Gianmarco 25 Mickens, Ronald Elbert 25 Nicaise, Serge 25 Pan, Kejia 25 Wang, Junping 25 Zhou, Zhaojie 24 Chen, Wenbin ...and 13,421 more Authors all top 5 Cited in 543 Journals 884 Computers & Mathematics with Applications 821 Journal of Computational and Applied Mathematics 757 Applied Mathematics and Computation 724 Journal of Computational Physics 677 Computer Methods in Applied Mechanics and Engineering 634 Applied Numerical Mathematics 553 Journal of Scientific Computing 503 Numerical Methods for Partial Differential Equations 400 Engineering Analysis with Boundary Elements 350 International Journal of Computer Mathematics 208 Numerische Mathematik 203 Applied Mathematical Modelling 191 Mathematics and Computers in Simulation 190 Numerical Algorithms 179 Mathematics of Computation 179 SIAM Journal on Numerical Analysis 177 Computational and Applied Mathematics 160 Advances in Difference Equations 152 Advances in Computational Mathematics 144 SIAM Journal on Scientific Computing 136 Journal of Mathematical Analysis and Applications 136 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 131 Computers and Fluids 130 International Journal for Numerical Methods in Engineering 129 Applied Mathematics Letters 114 Mathematical Methods in the Applied Sciences 111 Advances in Applied Mathematics and Mechanics 108 Communications in Nonlinear Science and Numerical Simulation 100 Mathematical Problems in Engineering 91 International Journal of Applied and Computational Mathematics 90 Chaos, Solitons and Fractals 87 M\(^3\)AS. 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