Applied Numerical Mathematics Short Title: Appl. Numer. Math. Publisher: Elsevier (North-Holland), Amsterdam; International Association for Mathematics and Computers in Simulation (IMACS), New Brunswick, NJ ISSN: 0168-9274 Online: http://www.sciencedirect.com/science/journal/01689274 Comments: Journal; Indexed cover-to-cover Documents Indexed: 4,513 Publications (since 1985) References Indexed: 4,203 Publications with 117,066 References. all top 5 Latest Issues 195 (2024) 194 (2023) 193 (2023) 192 (2023) 191 (2023) 190 (2023) 189 (2023) 188 (2023) 187 (2023) 186 (2023) 185 (2023) 184 (2023) 183 (2023) 182 (2022) 181 (2022) 180 (2022) 179 (2022) 178 (2022) 177 (2022) 176 (2022) 175 (2022) 174 (2022) 173 (2022) 172 (2022) 171 (2022) 170 (2021) 169 (2021) 168 (2021) 167 (2021) 166 (2021) 165 (2021) 164 (2021) 163 (2021) 162 (2021) 161 (2021) 160 (2021) 159 (2021) 158 (2020) 157 (2020) 156 (2020) 155 (2020) 154 (2020) 153 (2020) 152 (2020) 151 (2020) 150 (2020) 149 (2020) 148 (2020) 147 (2020) 146 (2019) 145 (2019) 144 (2019) 143 (2019) 142 (2019) 141 (2019) 140 (2019) 139 (2019) 138 (2019) 137 (2019) 136 (2019) 135 (2019) 134 (2018) 133 (2018) 132 (2018) 131 (2018) 130 (2018) 129 (2018) 128 (2018) 127 (2018) 126 (2018) 125 (2018) 124 (2018) 123 (2018) 122 (2017) 121 (2017) 120 (2017) 119 (2017) 118 (2017) 117 (2017) 116 (2017) 115 (2017) 114 (2017) 113 (2017) 112 (2017) 111 (2017) 110 (2016) 109 (2016) 108 (2016) 107 (2016) 106 (2016) 105 (2016) 104 (2016) 103 (2016) 102 (2016) 101 (2016) 100 (2016) 99 (2016) 98 (2015) 97 (2015) 96 (2015) ...and 286 more Volumes all top 5 Authors 39 Dehghan Takht Fooladi, Mehdi 33 Jackiewicz, Zdzislaw 28 Butcher, John C. 28 Weiner, Rüdiger 25 Reichel, Lothar 20 van der Houwen, Pieter J. 19 Sommeijer, Ben P. 19 Verwer, Jan G. 18 Brezinski, Claude 16 Abdi, Ali 15 Băleanu, Dumitru I. 15 Brugnano, Luigi 15 Zaky, Mahmoud A. 15 Zhang, Chengjian 14 Baccouch, Mahboub 14 Flaherty, Joseph E. 14 Paternoster, Beatrice 13 Burrage, Kevin 13 D’Ambrosio, Raffaele 13 Hojjati, Gholamreza 13 Li, Zi-Cai 13 Schmitt, Bernhard A. 13 Shi, Dongyang 13 Turkel, Eli L. 12 Abbaszadeh, Mostafa 12 Hendy, Ahmed S. 12 Oosterlee, Cornelis Willebrordus 12 Ostermann, Alexander 11 Ferreira, José Augusto 11 Jbilou, Khalide 11 Redivo-Zaglia, Michela 10 Blanes, Sergio 10 Boyd, John Philip 10 Chen, Yanping 10 González-Vera, Pablo 10 Günther, Michael 10 in ’t Hout, Karel J. 10 Jorge, Juan Carlos 10 Lima, Pedro Miguel 10 Mei, Liquan 10 Nordström, Jan 10 Petzold, Linda Ruth 10 Podhaisky, Helmut 10 Shampine, Lawrence Fred 10 Stephan, Ernst Peter 10 Trigiante, Donato 10 Wu, Xinyuan 9 Bai, Zhongzhi 9 Berzins, Martin 9 Guo, Ben-Yu 9 Huang, Hung-Tsai 9 Hundsdorfer, Willem H. 9 Jimack, Peter K. 9 Li, Xiaoli 9 Macías-Díaz, Jorge Eduardo 9 Mikula, Karol 9 O’Riordan, Eugene 9 Roul, Pradip 9 Shen, Jie 9 Shu, Chi-Wang 9 Stynes, Martin Joseph 9 Tsynkov, Semyon V. 9 Wang, Yuanming 8 Baker, Christopher Thomas Hale 8 Brunner, Hermann 8 Calvo, M. P. 8 Cano, Begoña 8 Cao, Zhihao 8 Chacón Rebollo, Tomás 8 Copetti, Maria Inês M. 8 Feldstein, Alan 8 Fernández, Jose Ramon 8 González-Pinto, Severiano 8 He, Yinnian 8 Huang, Chengming 8 Huang, Jin 8 Huang, Yunqing 8 Jung, Jae-Hun 8 Liang, Dong 8 Mazzia, Francesca 8 Meister, Andreas 8 Pulch, Roland 8 Sanz-Serna, Jesús María 8 Spijker, Marc N. 8 Spitaleri, Rosa Maria 8 Strehmel, Karl 8 Van Daele, Marnix 8 Vanden Berghe, Guido 8 Vuik, Cornelis 8 Weinmüller, Ewa B. 8 Xiao, Aiguo 8 Zennaro, Marino 8 Zhao, Jingjun 8 Zhu, Peng 7 Alonso-Mallo, Isaías 7 Biswas, Rupak 7 Bürger, Raimund 7 Casas, Fernando 7 Chen, Jinru 7 Conte, Dajana ...and 5,897 more Authors all top 5 Fields 3,876 Numerical analysis (65-XX) 1,517 Partial differential equations (35-XX) 689 Fluid mechanics (76-XX) 638 Ordinary differential equations (34-XX) 250 Integral equations (45-XX) 194 Mechanics of deformable solids (74-XX) 167 Approximations and expansions (41-XX) 155 Operations research, mathematical programming (90-XX) 146 Probability theory and stochastic processes (60-XX) 133 Optics, electromagnetic theory (78-XX) 119 Biology and other natural sciences (92-XX) 116 Calculus of variations and optimal control; optimization (49-XX) 110 Real functions (26-XX) 102 Dynamical systems and ergodic theory (37-XX) 97 Linear and multilinear algebra; matrix theory (15-XX) 72 Special functions (33-XX) 71 Classical thermodynamics, heat transfer (80-XX) 67 Geophysics (86-XX) 61 General and overarching topics; collections (00-XX) 61 Statistical mechanics, structure of matter (82-XX) 61 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 55 Harmonic analysis on Euclidean spaces (42-XX) 48 Operator theory (47-XX) 44 Mechanics of particles and systems (70-XX) 44 Information and communication theory, circuits (94-XX) 43 Computer science (68-XX) 36 Functions of a complex variable (30-XX) 34 Systems theory; control (93-XX) 28 Quantum theory (81-XX) 25 Integral transforms, operational calculus (44-XX) 24 Sequences, series, summability (40-XX) 14 Statistics (62-XX) 13 History and biography (01-XX) 10 Potential theory (31-XX) 10 Difference and functional equations (39-XX) 8 Number theory (11-XX) 7 Functional analysis (46-XX) 7 Differential geometry (53-XX) 6 Combinatorics (05-XX) 6 Field theory and polynomials (12-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Astronomy and astrophysics (85-XX) 4 Relativity and gravitational theory (83-XX) 3 Topological groups, Lie groups (22-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 3,764 Publications have been cited 42,170 times in 28,707 Documents Cited by ▼ Year ▼ A fully discrete difference scheme for a diffusion-wave system. Zbl 1094.65083 Sun, Zhi-Zhong; Wu, Xiaonan 668 2006 Finite difference approximations for two-sided space-fractional partial differential equations. Zbl 1086.65087 Meerschaert, Mark M.; Tadjeran, Charles 484 2006 Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations. Zbl 0896.65061 Ascher, Uri M.; Ruuth, Steven J.; Spiteri, Raymond J. 456 1997 Additive Runge-Kutta schemes for convection-diffusion-reaction equations. Zbl 1013.65103 Kennedy, Christopher A.; Carpenter, Mark H. 294 2003 Strong contractivity properties of numerical methods for ordinary and delay differential equations. Zbl 0749.65042 Bellen, A.; Zennaro, M. 280 1992 Numerical solution of problems on unbounded domains. A review. Zbl 0939.76077 Tsynkov, Semyon V. 275 1998 Mathematical and numerical models for coupling surface and groundwater flows. Zbl 1023.76048 Discacciati, Marco; Miglio, Edie; Quarteroni, Alfio 239 2002 BoomerAMG: A parallel algebraic multigrid solver and preconditioner. Zbl 0995.65128 Henson, Van Emden; Meier Yang, Ulrike 207 2002 Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method. Zbl 1316.65099 Burman, Erik; Hansbo, Peter 205 2012 Parallel, adaptive finite element methods for conservation laws. Zbl 0826.65084 Biswas, Rupak; Devine, Karen D.; Flaherty, Joseph E. 195 1994 Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 1038.65096 Krivodonova, L.; Xin, J.; Remacle, J.-F.; Chevaugeon, N.; Flaherty, J. E. 190 2004 The immersed interface method using a finite element formulation. Zbl 0936.65091 Li, Zhilin 170 1998 Solving DDEs in Matlab. Zbl 0983.65079 Shampine, L. F.; Thompson, S. 164 2001 Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations. Zbl 0986.76060 Kennedy, Christopher A.; Carpenter, Mark H.; Lewis, R. Michael 134 2000 Absorbing PML boundary layers for wave-like equations. Zbl 0933.35188 Turkel, E.; Yefet, A. 131 1998 Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems. Zbl 1012.65136 Bai, Zhaojun 130 2002 On large time-stepping methods for the Cahn-Hilliard equation. Zbl 1118.65109 He, Yinnian; Liu, Yunxian; Tang, Tao 129 2007 Global FOM and GMRES algorithms for matrix equations. Zbl 0935.65024 Jbilou, K.; Messaoudi, A.; Sadok, H. 129 1999 A finite difference scheme for partial integro-differential equations with a weakly singular kernel. Zbl 0768.65093 Tang, Tao 127 1993 Optimization as a function of the phase-lag order of nonlinear explicit two-step \(P\)-stable method for linear periodic IVPs. Zbl 1169.65324 Stavroyiannis, S.; Simos, T. E. 125 2009 On a class of preconditioners for solving the Helmholtz equation. Zbl 1051.65101 Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W. 113 2004 Optimal a priori estimates for higher order finite elements for elliptic interface problems. Zbl 1208.65168 Li, Jingzhi; Melenk, Jens Markus; Wohlmuth, Barbara; Zou, Jun 111 2010 Some results on uniformly high-order accurate essentially nonoscillatory schemes. Zbl 0627.65101 Harten, Ami; Osher, Stanley; Engquist, Björn; Chakravarthy, Sukumar R. 107 1986 A cut finite element method for a Stokes interface problem. Zbl 1299.76136 Hansbo, Peter; Larson, Mats G.; Zahedi, Sara 106 2014 A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation. Zbl 1282.65141 Wei, Ting; Wang, Jungang 105 2014 Restoring particle consistency in smoothed particle hydrodynamics. Zbl 1329.76285 Liu, M. B.; Liu, G. R. 100 2006 A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative. Zbl 1326.65111 Sousa, Ercília; Li, Can 99 2015 A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations. Zbl 1155.35406 He, Yinnian; Li, Jian 99 2008 New methods for oscillatory systems based on ARKN methods. Zbl 1096.65068 Franco, J. M. 96 2006 Efficient techniques for the second-order parabolic equation subject to nonlocal specifications. Zbl 1063.65079 Dehghan, Mehdi 94 2005 An algebraic theory for primal and dual substructuring methods by constraints. Zbl 1076.65100 Mandel, Jan; Dohrmann, Clark R.; Tezaur, Radek 94 2005 A meshless based method for solution of integral equations. Zbl 1202.65174 Mirzaei, Davoud; Dehghan, Mehdi 93 2010 Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations. Zbl 0983.65106 Calvo, M. P.; de Frutos, J.; Novo, J. 93 2001 The midpoint upwind scheme. Zbl 0877.65055 Stynes, Martin; Roos, Hans-Görg 92 1997 An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations. Zbl 1353.65106 Bhrawy, A. H.; Zaky, M. A. 92 2017 Exponential Runge-Kutta methods for parabolic problems. Zbl 1070.65099 Hochbruck, Marlis; Ostermann, Alexander 91 2005 High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations. Zbl 0868.65101 Burrage, K.; Burrage, P. M. 91 1996 Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials. Zbl 0927.65097 Paternoster, B. 90 1998 Review of preconditioning methods for fluid dynamics. Zbl 0770.76048 Turkel, E. 88 1993 Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems. Zbl 0867.76025 Dongarra, J. J.; Straughan, B.; Walker, D. W. 88 1996 A comparative study of sparse approximate inverse preconditioners. Zbl 0949.65043 Benzi, Michele; Tuma, Miroslav 87 1999 Several new numerical methods for compressible shear-layer simulations. Zbl 0804.76062 Kennedy, Christopher A.; Carpenter, Mark H. 87 1994 Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations. Zbl 1221.65220 Gao, Zhen; Xie, Shusen 85 2011 High order Runge-Kutta methods on manifolds. Zbl 0934.65077 Munthe-Kaas, Hans 85 1999 On the stability of implicit-explicit linear multistep methods. Zbl 0887.65094 Frank, J.; Hundsdorfer, W.; Verwer, J. G. 84 1997 Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales. Zbl 1144.76029 Codina, Ramon 80 2008 Meshless local Petrov-Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity. Zbl 1159.76034 Dehghan, Mehdi; Mirzaei, Davoud 79 2009 Block triangular preconditioners for symmetric saddle-point problems. Zbl 1053.65033 Simoncini, V. 78 2004 A study of orthonormal multi-wavelets. Zbl 0877.65098 Chui, Charles K.; Lian, Jian-ao 77 1996 Spectral gradient projection method for monotone nonlinear equations with convex constraints. Zbl 1183.65056 Yu, Zhensheng; Lin, Ji; Sun, Jing; Xiao, Yunhai; Liu, Liying; Li, Zhanhui 77 2009 Discontinuous Galerkin methods for coupled flow and reactive transport problems. Zbl 1079.76584 Sun, Shuyu; Wheeler, Mary F. 77 2005 Diagonally-implicit multi-stage integration methods. Zbl 0773.65046 Butcher, J. C. 77 1993 A formulation of asymptotic and exact boundary conditions using local operators. Zbl 0924.35167 Hagstrom, Thomas; Hariharan, S. I. 76 1998 A class of discontinuous Petrov-Galerkin methods. III: Adaptivity. Zbl 1316.76047 Demkowicz, Leszek; Gopalakrishnan, Jay; Niemi, Antti H. 75 2012 Adaptive radial basis function methods for time dependent partial differential equations. Zbl 1069.65109 Sarra, Scott A. 75 2005 Discrete multi-resolution analysis and generalized wavelets. Zbl 0777.65004 Harten, Ami 73 1993 Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials. Zbl 1152.65112 Doha, Eid H.; Bhrawy, Ali H. 73 2008 Multisymplectic box schemes and the Korteweg-de Vries equation. Zbl 1038.65138 Ascher, Uri M.; McLachlan, Robert I. 72 2004 The effect of the formulation of nonlinear terms on aliasing errors in spectral methods. Zbl 0858.76060 Blaisdell, G. A.; Spyropoulos, E. T.; Qin, J. H. 72 1996 Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations. Zbl 1382.65222 Mao, Zhiping; Chen, Sheng; Shen, Jie 72 2016 Numerical valuation of options with jumps in the underlying. Zbl 1117.91028 Almendral, Ariel; Oosterlee, Cornelis W. 71 2005 Geometrical image segmentation by the Allen-Cahn equation. Zbl 1055.94502 Beneš, Michal; Chalupecký, Vladimír; Mikula, Karol 70 2004 A trigonometrically fitted explicit Numerov-type method for second-order initial value problems with oscillating solutions. Zbl 1136.65068 Fang, Yonglei; Wu, Xinyuan 69 2008 Error estimates for the moving least-square approximation and the element-free Galerkin method in \(n\)-dimensional spaces. Zbl 1329.65274 Li, Xiaolin 66 2016 A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074 Benzi, Michele; Guo, Xue-Ping 65 2011 Finite volume methods, unstructured meshes and strict stability for hyperbolic problems. Zbl 1019.65066 Nordström, Jan; Forsberg, Karl; Adamsson, Carl; Eliasson, Peter 64 2003 Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem. Zbl 0963.65086 Beckett, G.; Mackenzie, J. A. 63 2000 Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation. Zbl 1266.65161 Wang, Jun-Gang; Zhou, Yu-Bin; Wei, Ting 63 2013 Meshless Galerkin algorithms for boundary integral equations with moving least square approximations. Zbl 1232.65160 Li, Xiaolin 62 2011 A moving least square reproducing polynomial meshless method. Zbl 1284.65137 Salehi, Rezvan; Dehghan, Mehdi 62 2013 Preconditioners for saddle point problems arising in computational fluid dynamics. Zbl 1168.76348 Elman, Howard C. 60 2002 On the rotation and skew-symmetric forms for incompressible flow simulations. Zbl 0708.76071 Zang, Thomas A. 60 1991 Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation. Zbl 1263.65118 Mirzaei, Davoud; Schaback, Robert 60 2013 A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations. Zbl 1123.65040 An, Heng-Bin; Bai, Zhong-Zhi 59 2007 On the numerical inversion of the Laplace transform of certain holomorphic mappings. Zbl 1059.65120 López-Fernández, M.; Palencia, C. 59 2004 Generalized Jacobi polynomials/functions and their applications. Zbl 1171.33006 Guo, Ben-Yu; Shen, Jie; Wang, Li-Lian 59 2009 Fourierization of the Legendre-Galerkin method and a new space-time spectral method. Zbl 1118.65111 Shen, Jie; Wang, Li-Lian 58 2007 An affine scaling trust-region approach to bound-constrained nonlinear systems. Zbl 1018.65067 Bellavia, Stefania; Macconi, Maria; Morini, Benedetta 58 2003 Optimal implicit strong stability preserving Runge-Kutta methods. Zbl 1157.65046 Ketcheson, David I.; Macdonald, Colin B.; Gottlieb, Sigal 58 2009 Carleman estimates for the regularization of ill-posed Cauchy problems. Zbl 1325.65148 Klibanov, Michael V. 57 2015 On HSS-based iteration methods for weakly nonlinear systems. Zbl 1178.65047 Bai, Zhong-Zhi; Yang, Xi 56 2009 Accuracy and linear stability of RKN methods for solving second-order stiff problems. Zbl 1161.65062 Franco, J. M.; Gómez, I. 55 2009 ROWMAP – a ROW-code with Krylov techniques for large stiff ODEs. Zbl 0895.65035 Weiner, R.; Schmitt, B. A.; Podhaisky, H. 55 1997 On the low-rank approximation by the pivoted Cholesky decomposition. Zbl 1244.65042 Harbrecht, Helmut; Peters, Michael; Schneider, Reinhold 54 2012 Multistep collocation methods for Volterra integral equations. Zbl 1172.65069 Conte, D.; Paternoster, B. 54 2009 A nonstandard finite-difference scheme for the Lotka–Volterra system. Zbl 1025.65047 Mickens, Ronald E. 54 2003 Error estimates for the finite point method. Zbl 1145.65086 Cheng, Rongjun; Cheng, Yumin 53 2008 ADI schemes for higher-order nonlinear diffusion equations. Zbl 1061.76051 Witelski, T. P.; Bowen, M. 53 2003 Positive stable block triangular preconditioners for symmetric saddle point problems. Zbl 1118.65021 Cao, Zhi-Hao 52 2007 Quasi-orthogonality with applications to some families of classical orthogonal polynomials. Zbl 1047.33002 Brezinski, C.; Driver, K. A.; Redivo-Zaglia, M. 52 2004 Explicit Runge-Kutta methods for parabolic partial differential equations. Zbl 0868.65064 Verwer, J. 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Zbl 1528.76052 Xu, Minqiang; Liu, Kai; Zhang, Lei 1 2023 Effect of an efficient numerical integration technique on the element-free Galerkin method. Zbl 1528.65115 Li, Xiaolin; Li, Shuling 1 2023 A stabilized finite element method for the Stokes-temperature coupled problem. Zbl 07705762 Araya, Rodolfo; Cárcamo, Cristian; Poza, Abner H. 1 2023 High-order linearly implicit schemes conserving quadratic invariants. Zbl 07705764 Sato, Shun; Miyatake, Yuto; Butcher, John C. 1 2023 Sparse machine learning in Banach spaces. Zbl 07705768 Xu, Yuesheng 1 2023 Numerical treatment of a singularly perturbed 2-D convection-diffusion elliptic problem with Robin-type boundary conditions. Zbl 07705770 Shiromani, Ram; Shanthi, Vembu; Ramos, Higinio 1 2023 Space-time spectral method for the Stokes problem. Zbl 07705772 Kaur, Avleen; Lui, S. H. 1 2023 A posteriori error estimates of two-grid weak Galerkin methods for semilinear elliptic differential equations. 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Zbl 07630321 Kürkçü, Ömür Kıvanç 1 2023 Projection methods for approximate solution of a class of nonlinear Fredholm integro-differential equations. Zbl 07630323 Mandal, Moumita; Kayal, Arnab; Nelakanti, Gnaneshwar 1 2023 Recovery of a potential coefficient in a pseudoparabolic system from nonlocal observation. Zbl 1504.35644 Fu, Jun-Liang; Liu, Jijun 1 2023 High order numerical methods for flows with hysteretic fluxes. Zbl 1506.65121 Fan, Haitao; Shu, Chi-Wang 1 2023 Maximum error estimates of two linearized compact difference schemes for two-dimensional nonlinear Sobolev equations. Zbl 1509.65079 Zhang, Jiyuan; Qin, Yifan; Zhang, Qifeng 1 2023 Theoretical characteristics and numerical methods for a class of special piecewise quadratic optimization. Zbl 1527.90142 Jian, Jinbao; Qin, Yao; Yin, Jianghua; Ma, Guodong 1 2023 Krylov subspace split Bregman methods. Zbl 07630340 Alotaibi, Majed; Buccini, Alessandro; Reichel, Lothar 1 2023 A weak Galerkin finite element method for the Kelvin-Voigt viscoelastic fluid flow model. Zbl 1505.65261 Duan, Mengmeng; Yang, Yan; Feng, Minfu 1 2023 Quasi-simultaneous coupling methods for partitioned problems in computational hemodynamics. Zbl 1503.76067 Rozema, Gerk; Veldman, Arthur E. P.; Maurits, Natasha M. 1 2023 A maximum bound principle preserving iteration technique for a class of semilinear parabolic equations. Zbl 1505.65246 Gong, Yuezheng; Ji, Bingquan; Liao, Hong-lin 1 2023 A new approach for numerical solution of Kuramoto-Tsuzuki equation. Zbl 1505.65247 Labidi, Samira; Omrani, Khaled 1 2023 An inexact ADMM with proximal-indefinite term and larger stepsize. Zbl 1508.90061 Ma, Yuxue; Bai, Jianchao; Sun, Hao 1 2023 Convergence analysis of Hermite subdivision schemes of any arity. Zbl 1504.65069 Zhang, Zeze; Zheng, Hongchan; Zhou, Jie 1 2023 An energy-conserving finite element method for nonlinear fourth-order wave equations. Zbl 1498.65158 He, Mingyan; Tian, Jia; Sun, Pengtao; Zhang, Zhengfang 1 2023 Persistence of dynamic consistency of nonstandard numerical schemes for the Fisher-KPP equation. Zbl 07698997 Clemence-Mkhope, D. P.; Mabuza, S.; Rivas, M. A. 1 2023 On a certified VMS-Smagorinsky reduced basis model with LPS pressure stabilisation. Zbl 07699014 Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Gómez Mármol, Macarena 1 2023 Analysis of a finite-volume scheme for a single-species biofilm model. Zbl 07699015 Helmer, Christoph; Jüngel, Ansgar; Zurek, Antoine 1 2023 Unconditional superconvergence analysis of nonconforming \(EQ_1^{rot}\) finite element method for the nonlinear coupled predator-prey equations. Zbl 07699025 Zhang, Sihui; Shi, Xiangyu; Shi, Dongyang 1 2023 Analysis of a splitting scheme for a class of nonlinear stochastic Schrödinger equations. Zbl 07699030 Bréhier, Charles-Edouard; Cohen, David 1 2023 Asymptotic-numerical solvers for diffusion equation with time-like highly oscillatory forcing terms. Zbl 1518.35213 Issaoui, M.; Kzaz, M.; Maach, F. 1 2023 Numerical analysis of a singularly perturbed convection diffusion problem with shift in space. Zbl 07699034 Brdar, Mirjana; Franz, Sebastian; Ludwig, Lars; Roos, Hans-Görg 1 2023 On the implementation of explicit two-step peer methods with Runge-Kutta stability. Zbl 1522.65118 Abdi, A.; Hojjati, G.; Jackiewicz, Z.; Podhaisky, H.; Sharifi, M. 1 2023 Two-grid virtual element discretization of semilinear elliptic problem. Zbl 07699039 Chen, Fengxin; Wang, Qiming; Zhou, Zhaojie 1 2023 The formally second-order BDF ADI difference/compact difference scheme for the nonlocal evolution problem in three-dimensional space. Zbl 1484.65345 Qiao, Leijie; Xu, Da; Qiu, Wenlin 18 2022 Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations. Zbl 1484.65187 Ou, Caixia; Cen, Dakang; Vong, Seakweng; Wang, Zhibo 14 2022 A stable and efficient technique for linear boundary value problems by applying kernel functions. Zbl 1484.65170 Li, X. Y.; Wang, H. L.; Wu, B. Y. 12 2022 A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers. Zbl 1485.76056 Busto, S.; Dumbser, M. 11 2022 Error analysis of an implicit Galerkin meshfree scheme for general second-order parabolic problems. Zbl 1484.65237 Zhang, Tao; Li, Xiaolin; Xu, Liwei 10 2022 Energy-preserving exponential integrator Fourier pseudo-spectral schemes for the nonlinear Dirac equation. Zbl 1484.65263 Li, Jiyong 8 2022 A three-term CGPM-based algorithm without Lipschitz continuity for constrained nonlinear monotone equations with applications. Zbl 1484.65109 Liu, Pengjie; Shao, Hu; Wang, Yun; Wu, Xiaoyu 8 2022 An explicit algorithm for solving monotone variational inequalities. Zbl 1480.49016 Thong, Duong Viet; Gibali, Aviv; Vuong, Phan Tu 6 2022 Uniform error bounds of exponential wave integrator methods for the long-time dynamics of the Dirac equation with small potentials. Zbl 1484.65248 Feng, Yue; Xu, Zhiguo; Yin, Jia 6 2022 Positivity preserving stochastic \(\theta\)-methods for selected SDEs. Zbl 1484.65018 Scalone, Carmela 6 2022 Stable numerical schemes for time-fractional diffusion equation with generalized memory kernel. Zbl 1484.65182 Kedia, Nikki; Alikhanov, Anatoly A.; Singh, Vineet Kumar 6 2022 A new three-level fourth-order compact finite difference scheme for the extended Fisher-Kolmogorov equation. 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Zbl 1482.76078 Feng, Xinlong; Lu, Xiaoli; He, Yinnian 5 2022 A doubly relaxed minimal-norm Gauss-Newton method for underdetermined nonlinear least-squares problems. Zbl 1482.65094 Pes, Federica; Rodriguez, Giuseppe 4 2022 Error analysis and approximation of Jacobi pseudospectral method for the integer and fractional order integro-differential equation. Zbl 1482.65241 Mittal, Avinash Kumar 4 2022 Supercloseness of finite element method on a Bakhvalov-type mesh for a singularly perturbed problem with two parameters. Zbl 1492.65223 Zhang, Jin; Lv, Yanhui 4 2022 Communication in complex networks. Zbl 1485.90019 De la Cruz Cabrera, Omar; Jin, Jiafeng; Noschese, Silvia; Reichel, Lothar 4 2022 Superconvergent weak Galerkin methods for non-self adjoint and indefinite elliptic problems. Zbl 1484.65310 Zhu, Peng; Xie, Shenglan 4 2022 Some iterative approaches for Sylvester tensor equations. I: A tensor format of truncated loose simpler GMRES. Zbl 1484.65079 Saberi-Movahed, Farid; Tajaddini, Azita; Heyouni, Mohammed; Elbouyahyaoui, Lakhdar 4 2022 Efficient energy preserving Galerkin-Legendre spectral methods for fractional nonlinear Schrödinger equation with wave operator. Zbl 1484.65223 Hu, Dongdong; Cai, Wenjun; Gu, Xian-Ming; Wang, Yushun 4 2022 The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations. Zbl 07533815 Kheirkhah, Farnaz; Hajipour, Mojtaba; Baleanu, Dumitru 4 2022 A hybrid high-order method for the Sobolev equation. Zbl 1493.65163 Xie, Chun-Mei; Feng, Min-Fu; Luo, Yan 4 2022 Galerkin finite element method for damped nonlinear Schrödinger equation. Zbl 1496.65173 Wang, Lingli; Li, Meng 4 2022 Unconditionally energy stable \(C^0\)-virtual element scheme for solving generalized Swift-Hohenberg equation. Zbl 1492.65263 Dehghan, Mehdi; Gharibi, Zeinab; Eslahchi, Mohammad Reza 4 2022 An unconditionally energy-stable linear Crank-Nicolson scheme for the Swift-Hohenberg equation. Zbl 1502.65139 Qi, Longzhao; Hou, Yanren 4 2022 Logarithmic Jacobi collocation method for Caputo-Hadamard fractional differential equations. Zbl 1498.65114 Zaky, Mahmoud A.; Hendy, Ahmed S.; Suragan, D. 4 2022 Positivity and boundedness preserving numerical scheme for the stochastic epidemic model with square-root diffusion term. Zbl 1512.60034 Cai, Yongmei; Hu, Junhao; Mao, Xuerong 4 2022 ...and 1489 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 27,401 Authors 285 Dehghan Takht Fooladi, Mehdi 157 Simos, Theodore E. 102 Shu, Chi-Wang 92 He, Yinnian 87 Reichel, Lothar 83 Shi, Dongyang 83 Zhang, Chengjian 80 Jackiewicz, Zdzislaw 79 Abbaszadeh, Mostafa 77 Liu, Fawang 75 Chen, Yanping 74 Feng, Xinlong 73 Huang, Chengming 72 Wu, Xinyuan 72 Xu, Da 69 Wang, Hong 68 Li, Xiaolin 65 Băleanu, Dumitru I. 63 Huang, Yunqing 63 Li, Hong 61 Dumbser, Michael 61 Jbilou, Khalide 61 Zaky, Mahmoud A. 59 D’Ambrosio, Raffaele 59 Nordström, Jan 59 Sun, Zhizhong 59 Zhang, Zhimin 58 Huang, Ting-Zhu 58 Luo, Zhendong 58 Sun, Haiwei 56 Liu, Yang 56 Qiu, Jianxian 56 Wang, Wansheng 55 Bhrawy, Ali Hassan 55 He, Xiaoming 54 Codina, Ramon 53 Doha, Eid H. 53 Ma, Changfeng 53 Xiao, Aiguo 52 Karniadakis, George Em 52 Mei, Liquan 52 Ordokhani, Yadollah 51 Paternoster, Beatrice 51 Weiner, Rüdiger 50 Heydari, Mohammad Hossein 50 Kim, Junseok 48 Zhao, Jingjun 47 Abdi, Ali 47 Baccouch, Mahboub 47 Harbrecht, Helmut 47 Jiang, Yaolin 47 Shang, Yueqiang 46 Razzaghi, Mohsen 46 Vong, Seakweng 46 Zhang, Shangyou 45 Yang, Xiaofeng 45 Zhang, Guofeng 44 Avazzadeh, Zakieh 44 Burman, Erik 44 Hendy, Ahmed S. 44 Huang, Pengzhan 44 Turner, Ian William 43 Brugnano, Luigi 43 Wang, Yushun 43 Xu, Yang 42 Brezinski, Claude 42 Hou, Yanren 42 Praetorius, Dirk 42 Siraj-ul-Islam 41 Hojjati, Gholamreza 41 Li, Jian 41 Ostermann, Alexander 40 Sandu, Adrian 39 Benner, Peter 39 Ding, Xiaohua 39 Li, Shoufu 38 Abbasbandy, Saeid 38 Marcellán Español, Francisco 38 Qiu, Wenlin 38 Ramos, Higinio 38 Rui, Hongxing 38 Zhang, Jiwei 37 Gander, Martin Jakob 37 Shivanian, Elyas 37 Wohlmuth, Barbara I. 36 Burrage, Kevin 36 Khojasteh Salkuyeh, Davod 36 Natesan, Srinivasan 36 Zhu, Jun 35 Amat Plata, Sergio 35 Boyd, John Philip 35 Fang, Yonglei 35 Gan, Siqing 35 Nie, Yufeng 35 Song, Songhe 35 Wang, Bin 35 Wei, Ting 35 Yang, Xuehua 34 Klibanov, Michael V. 34 Li, Dongfang ...and 27,301 more Authors all top 5 Cited in 806 Journals 2,032 Journal of Computational and Applied Mathematics 1,962 Applied Numerical Mathematics 1,959 Journal of Computational Physics 1,406 Applied Mathematics and Computation 1,234 Computers & Mathematics with Applications 1,008 Computer Methods in Applied Mechanics and Engineering 1,007 Journal of Scientific Computing 752 Numerical Algorithms 561 International Journal of Computer Mathematics 477 SIAM Journal on Scientific Computing 428 Numerical Methods for Partial Differential Equations 420 Computational and Applied Mathematics 415 Computers and Fluids 385 Mathematics and Computers in Simulation 375 Engineering Analysis with Boundary Elements 350 Numerische Mathematik 311 Applied Mathematical Modelling 310 BIT 300 Mathematics of Computation 269 Applied Mathematics Letters 263 Communications in Nonlinear Science and Numerical Simulation 251 SIAM Journal on Numerical Analysis 243 Mathematical Methods in the Applied Sciences 241 Advances in Computational Mathematics 225 International Journal for Numerical Methods in Engineering 201 Advances in Difference Equations 199 Journal of Mathematical Analysis and Applications 197 Journal of Mathematical Chemistry 186 Mathematical Problems in Engineering 180 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 178 Journal of Applied Mathematics and Computing 162 Calcolo 153 Advances in Applied Mathematics and Mechanics 151 Linear Algebra and its Applications 146 Computer Physics Communications 141 Abstract and Applied Analysis 136 Journal of Fluid Mechanics 130 Communications in Computational Physics 124 Computational Mechanics 123 Chaos, Solitons and Fractals 122 International Journal of Applied and Computational Mathematics 113 Numerical Linear Algebra with Applications 103 Applicable Analysis 99 International Journal for Numerical Methods in Fluids 98 Mathematical and Computer Modelling 95 International Journal of Computational Methods 94 Numerical Functional Analysis and Optimization 93 M\(^3\)AS. 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