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: 4,857 Publications (since 1985) References Indexed: 4,543 Publications with 129,130 References. all top 5 Latest Issues 210 (2025) 209 (2025) 208, Part B (2025) 208, Part A (2025) 207 (2025) 206 (2024) 205 (2024) 204 (2024) 203 (2024) 202 (2024) 201 (2024) 200 (2024) 199 (2024) 198 (2024) 197 (2024) 196 (2024) 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) ...and 302 more Volumes all top 5 Authors 42 Dehghan Takht Fooladi, Mehdi 33 Jackiewicz, Zdzislaw 32 Reichel, Lothar 28 Butcher, John C. 28 Weiner, Rüdiger 21 Zaky, Mahmoud A. 20 van der Houwen, Pieter J. 19 Sommeijer, Ben P. 19 Verwer, Jan G. 18 Brezinski, Claude 17 Abdi, Ali 17 Băleanu, Dumitru I. 16 Brugnano, Luigi 16 Hendy, Ahmed S. 16 Paternoster, Beatrice 15 Shi, Dongyang 15 Zhang, Chengjian 14 Baccouch, Mahboub 14 Flaherty, Joseph E. 14 Hojjati, Gholamreza 14 Jbilou, Khalide 13 Abbaszadeh, Mostafa 13 Burrage, Kevin 13 D’Ambrosio, Raffaele 13 Günther, Michael 13 Li, Zi-Cai 13 Macías-Díaz, Jorge Eduardo 13 Schmitt, Bernhard A. 13 Turkel, Eli L. 12 Blanes, Sergio 12 Jorge, Juan Carlos 12 Oosterlee, Cornelis Willebrordus 12 O’Riordan, Eugene 12 Ostermann, Alexander 11 Ferreira, José Augusto 11 Lima, Pedro Miguel 11 Occorsio, Donatella 11 Podhaisky, Helmut 11 Redivo-Zaglia, Michela 10 Arnold, Martin 10 Boyd, John Philip 10 Chen, Yanping 10 Conte, Dajana 10 González-Vera, Pablo 10 in ’t Hout, Karel J. 10 Mei, Liquan 10 Nordström, Jan 10 Petzold, Linda Ruth 10 Shampine, Lawrence Fred 10 Shen, Jie 10 Shu, Chi-Wang 10 Stephan, Ernst Peter 10 Trigiante, Donato 10 Weinmüller, Ewa B. 10 Wu, Xinyuan 9 Bai, Zhongzhi 9 Berzins, Martin 9 González-Pinto, Severiano 9 Guo, Ben-Yu 9 Huang, Hung-Tsai 9 Huang, Yunqing 9 Hundsdorfer, Willem H. 9 Jimack, Peter K. 9 Li, Xiaoli 9 Mazzia, Francesca 9 Mikula, Karol 9 Pereyra, Victor 9 Roul, Pradip 9 Stynes, Martin Joseph 9 Tsynkov, Semyon V. 9 Wang, Yuanming 9 Zhang, Shangyou 9 Zhu, Peng 8 Baker, Christopher Thomas Hale 8 Brunner, Hermann 8 Calvo, M. P. 8 Cano, Begoña 8 Cao, Zhihao 8 Casas, Fernando 8 Chacón Rebollo, Tomás 8 Copetti, Maria Inês M. 8 Dumbser, Michael 8 Feldstein, Alan 8 Fernández, Jose Ramon 8 Ford, Neville J. 8 Gatica, Gabriel N. 8 He, Yinnian 8 Huang, Chengming 8 Huang, Jin 8 Huang, Qiumei 8 Jung, Jae-Hun 8 Li, Jiyong 8 Liang, Dong 8 Luo, Zhendong 8 Mao, Xuerong 8 Meister, Andreas 8 Pulch, Roland 8 Sanz-Serna, Jesús María 8 Spijker, Marc N. 8 Spitaleri, Rosa Maria ...and 6,417 more Authors all top 5 Fields 4,163 Numerical analysis (65-XX) 1,628 Partial differential equations (35-XX) 736 Fluid mechanics (76-XX) 661 Ordinary differential equations (34-XX) 284 Integral equations (45-XX) 204 Mechanics of deformable solids (74-XX) 198 Approximations and expansions (41-XX) 178 Operations research, mathematical programming (90-XX) 157 Probability theory and stochastic processes (60-XX) 137 Optics, electromagnetic theory (78-XX) 135 Biology and other natural sciences (92-XX) 126 Calculus of variations and optimal control; optimization (49-XX) 121 Real functions (26-XX) 110 Dynamical systems and ergodic theory (37-XX) 109 Linear and multilinear algebra; matrix theory (15-XX) 82 Special functions (33-XX) 77 Classical thermodynamics, heat transfer (80-XX) 68 Statistical mechanics, structure of matter (82-XX) 68 Geophysics (86-XX) 65 General and overarching topics; collections (00-XX) 65 Harmonic analysis on Euclidean spaces (42-XX) 63 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 56 Information and communication theory, circuits (94-XX) 55 Operator theory (47-XX) 54 Computer science (68-XX) 44 Mechanics of particles and systems (70-XX) 36 Functions of a complex variable (30-XX) 36 Systems theory; control (93-XX) 32 Quantum theory (81-XX) 25 Integral transforms, operational calculus (44-XX) 24 Sequences, series, summability (40-XX) 23 Statistics (62-XX) 13 History and biography (01-XX) 12 Difference and functional equations (39-XX) 10 Potential theory (31-XX) 9 Combinatorics (05-XX) 9 Number theory (11-XX) 9 Functional analysis (46-XX) 7 Differential geometry (53-XX) 6 Field theory and polynomials (12-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Astronomy and astrophysics (85-XX) 4 Relativity and gravitational theory (83-XX) 3 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Commutative algebra (13-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 3,997 Publications have been cited 48,150 times in 32,510 Documents Cited by ▼ Year ▼ A fully discrete difference scheme for a diffusion-wave system. 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Zbl 1169.65324 Stavroyiannis, S.; Simos, T. E. 124 2009 Restoring particle consistency in smoothed particle hydrodynamics. Zbl 1329.76285 Liu, M. B.; Liu, G. R. 122 2006 On a class of preconditioners for solving the Helmholtz equation. Zbl 1051.65101 Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W. 121 2004 A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation. Zbl 1282.65141 Wei, Ting; Wang, Jungang 118 2014 Some results on uniformly high-order accurate essentially nonoscillatory schemes. Zbl 0627.65101 Harten, Ami; Osher, Stanley; Engquist, Björn; Chakravarthy, Sukumar R. 115 1986 A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative. Zbl 1326.65111 Sousa, Ercília; Li, Can 112 2015 A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations. 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Zbl 1329.65274 Li, Xiaolin 76 2016 A trigonometrically fitted explicit Numerov-type method for second-order initial value problems with oscillating solutions. Zbl 1136.65068 Fang, Yonglei; Wu, Xinyuan 75 2008 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 74 2013 Finite volume methods, unstructured meshes and strict stability for hyperbolic problems. Zbl 1019.65066 Nordström, Jan; Forsberg, Karl; Adamsson, Carl; Eliasson, Peter 72 2003 A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074 Benzi, Michele; Guo, Xue-Ping 71 2011 Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem. Zbl 0963.65086 Beckett, G.; Mackenzie, J. A. 71 2000 Generalized Jacobi polynomials/functions and their applications. Zbl 1171.33006 Guo, Ben-Yu; Shen, Jie; Wang, Li-Lian 69 2009 Fourierization of the Legendre-Galerkin method and a new space-time spectral method. Zbl 1118.65111 Shen, Jie; Wang, Li-Lian 68 2007 Meshless Galerkin algorithms for boundary integral equations with moving least square approximations. Zbl 1232.65160 Li, Xiaolin 66 2011 A moving least square reproducing polynomial meshless method. Zbl 1284.65137 Salehi, Rezvan; Dehghan, Mehdi 65 2013 On HSS-based iteration methods for weakly nonlinear systems. Zbl 1178.65047 Bai, Zhong-Zhi; Yang, Xi 64 2009 On the rotation and skew-symmetric forms for incompressible flow simulations. Zbl 0708.76071 Zang, Thomas A. 63 1991 On the numerical inversion of the Laplace transform of certain holomorphic mappings. Zbl 1059.65120 López-Fernández, M.; Palencia, C. 63 2004 An efficient smoother for the Stokes problem. Zbl 0874.65095 Braess, Dietrich; Sarazin, R. 62 1997 Preconditioners for saddle point problems arising in computational fluid dynamics. Zbl 1168.76348 Elman, Howard C. 62 2002 Optimal implicit strong stability preserving Runge-Kutta methods. Zbl 1157.65046 Ketcheson, David I.; Macdonald, Colin B.; Gottlieb, Sigal 62 2009 Carleman estimates for the regularization of ill-posed Cauchy problems. Zbl 1325.65148 Klibanov, Michael V. 61 2015 Multistep collocation methods for Volterra integral equations. Zbl 1172.65069 Conte, D.; Paternoster, B. 60 2009 A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations. Zbl 1123.65040 An, Heng-Bin; Bai, Zhong-Zhi 60 2007 Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature. Zbl 1448.65075 Das, Pratibhamoy; Rana, Subrata; Vigo-Aguiar, Jesus 60 2020 Explicit Runge-Kutta methods for parabolic partial differential equations. Zbl 0868.65064 Verwer, J. G. 59 1996 Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation. 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Zbl 1548.90467 Tan, Bing; Qin, Xiaolong; Yao, Jen-Chih 1 2024 Numerical analysis of finite element method for a stochastic active fluids model. Zbl 07859302 Li, Haozheng; Wang, Bo; Zou, Guang-an 1 2024 An innovative Fibonacci wavelet collocation method for the numerical approximation of Emden-Fowler equations. Zbl 07859309 Manohara, G.; Kumbinarasaiah, S. 1 2024 A perturbed twofold saddle point-based mixed finite element method for the Navier-Stokes equations with variable viscosity. Zbl 1542.65109 Bermúdez, Isaac; Correa, Claudio I.; Gatica, Gabriel N.; Silva, Juan P. 1 2024 Numerical simulation of nonlinear fractional delay differential equations with Mittag-Leffler kernels. Zbl 1545.65276 Odibat, Zaid; Baleanu, Dumitru 1 2024 Weak imposition of boundary conditions for the boundary element method in the time domain. Zbl 07856352 Aimi, A.; Di Credico, G.; Gimperlein, H.; Guardasoni, C.; Speroni, G. 1 2024 Spectra of evolution operators of a class of neutral renewal equations: theoretical and numerical aspects. Zbl 07856357 Breda, Dimitri; Liessi, Davide; Verduyn Lunel, Sjoerd M. 1 2024 A tensor formalism for multilayer network centrality measures using the Einstein product. Zbl 1540.68174 El-Halouy, Smahane; Noschese, Silvia; Reichel, Lothar 1 2024 Matrix-oriented FEM formulation for reaction-diffusion PDEs on a large class of 2D domains. Zbl 07856367 Frittelli, Massimo; Sgura, Ivonne 1 2024 Some notes on the trapezoidal rule for Fourier type integrals. Zbl 07856299 Denich, Eleonora; Novati, Paolo 1 2024 Collocation and modified collocation methods for solving second kind Fredholm integral equations in weighted spaces. Zbl 07856302 Allouch, Chafik 1 2024 A three level linearized compact difference scheme for a fourth-order reaction-diffusion equation. Zbl 1528.65040 Boujlida, Hanen; Ismail, Kaouther; Omrani, Khaled 1 2024 Accelerated greedy randomized augmented Kaczmarz algorithm for inconsistent linear systems. Zbl 07763853 Liu, Yong 1 2024 A new class of quadrature rules for estimating the error in Gauss quadrature. Zbl 1546.65018 Pejčev, Aleksandar V.; Reichel, Lothar; Spalević, Miodrag M.; Spalević, Stefan M. 1 2024 Numerical threshold stability of a nonlinear age-structured reaction diffusion heroin transmission model. Zbl 1542.92167 Liu, X.; Zhang, M.; Yang, Z. W. 1 2024 Approximation of the Hilbert transform on the half-line. Zbl 1546.65145 Occorsio, Donatella; Themistoclakis, Woula 1 2024 Optimal error estimates of a non-uniform IMEX-L1 finite element method for time fractional PDEs and PIDEs. Zbl 1543.65162 Tomar, Aditi; Tripathi, Lok Pati; Pani, Amiya K. 1 2024 \(\hat{A}\)- and \(\hat{I}\)-stability of Runge-Kutta collocation methods. Zbl 1543.65111 Dujardin, Guillaume; Lacroix-Violet, Ingrid 1 2024 Two one-parameter families of nonconforming enrichments of the Crouzeix-Raviart finite element. Zbl 1543.65197 Nudo, Federico 1 2024 Lowest-degree robust finite element schemes for inhomogeneous bi-Laplace problems. Zbl 1543.65183 Dai, Bin; Zeng, Huilan; Zhang, Chen-Song; Zhang, Shuo 1 2024 Analysis of a line method for reaction-diffusion models of nonlocal type. Zbl 07885887 Mezzanotte, Domenico; Occorsio, Donatella; Venturino, Ezio 1 2024 A preserving accuracy two-grid reduced-dimensional Crank-Nicolson mixed finite element method for nonlinear wave equation. Zbl 07885855 Li, Yuejie; Li, Huanrong; Zeng, Yihui; Luo, Zhendong 1 2024 Difference potentials method for the nonlinear convection-diffusion equation with interfaces. Zbl 07885869 Tavakoli Tameh, Mahboubeh; Shakeri, Fatemeh 1 2024 Algebraically stable high-order multi-physical property-preserving methods for the regularized long-wave equation. Zbl 07885880 Li, Xin; Hu, Xiuling 1 2024 Numerical simulation for an initial-boundary value problem of time-fractional Klein-Gordon equations. Zbl 07944856 Odibat, Zaid 1 2024 A posteriori error estimates for fully discrete finite difference method for linear parabolic equations. Zbl 07944862 Mao, Mengli; Wang, Wansheng 1 2024 Unconditionally energy stable high-order BDF schemes for the molecular beam epitaxial model without slope selection. Zbl 07944865 Kang, Yuanyuan; Wang, Jindi; Yang, Yin 1 2024 A macro BDM H-div mixed finite element on polygonal and polyhedral meshes. Zbl 07944869 Xu, Xuejun; Ye, Xiu; Zhang, Shangyou 1 2024 A localized meshless technique for solving 2D nonlinear integro-differential equation with multi-term kernels. Zbl 1500.65082 Cao, Y.; Nikan, O.; Avazzadeh, Z. 14 2023 On convergence rates of Kaczmarz-type methods with different selection rules of working rows. 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Zbl 07699006 Płociniczak, Łukasz 5 2023 Variable-time-step BDF2 nonconforming VEM for coupled Ginzburg-Landau equations. Zbl 07699047 Li, Meng; Wang, Lingli; Wang, Nan 5 2023 A stabilized divergence-free virtual element scheme for the nematic liquid crystal flows. Zbl 1528.76055 Wang, Xuyang; Zou, Guang-an; Wang, Bo 4 2023 On multi-step randomized extended Kaczmarz method for solving large sparse inconsistent linear systems. Zbl 1526.65005 Bai, Zhong-Zhi; Wang, Lu 4 2023 High-order, unconditionally maximum-principle preserving finite element method for the Allen-Cahn equation. Zbl 07705779 Yang, Jun; Yi, Nianyu; Zhang, Hong 4 2023 On the fractional Laplacian of some positive definite kernels with applications in numerically solving the surface quasi-geostrophic equation as a prominent fractional calculus model. Zbl 07705781 Mohebalizadeh, Hamed; Adibi, Hojatollah; Dehghan, Mehdi 4 2023 Generalized TASE-RK methods for stiff problems. Zbl 07705784 González-Pinto, S.; Hernández-Abreu, D.; Pagano, G.; Pérez-Rodríguez, S. 4 2023 ...and 1410 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 30,519 Authors 311 Dehghan Takht Fooladi, Mehdi 182 Simos, Theodore E. 110 Shu, Chi-Wang 103 Reichel, Lothar 102 He, Yinnian 102 Shi, Dongyang 89 Abbaszadeh, Mostafa 89 Feng, Xinlong 86 Liu, Fawang 86 Zhang, Chengjian 85 Chen, Yanping 82 Băleanu, Dumitru I. 81 Jackiewicz, Zdzislaw 79 Huang, Chengming 77 Wu, Xinyuan 77 Xu, Da 76 Li, Xiaolin 76 Zaky, Mahmoud A. 72 Wang, Hong 71 Li, Hong 70 Dumbser, Michael 70 Wang, Wansheng 68 Jbilou, Khalide 68 Luo, Zhendong 67 Huang, Yunqing 67 Kim, Junseok 67 Ordokhani, Yadollah 64 He, Xiaoming 64 Liu, Yang 64 Zhang, Zhimin 62 Nordström, Jan 62 Qiu, Jianxian 61 D’Ambrosio, Raffaele 61 Sun, Zhizhong 60 Heydari, Mohammad Hossein 60 Huang, Ting-Zhu 60 Paternoster, Beatrice 60 Xiao, Aiguo 60 Zhang, Shangyou 58 Codina, Ramon 58 Ma, Changfeng 58 Razzaghi, Mohsen 56 Bhrawy, Ali Hassan 56 Hendy, Ahmed S. 56 Jiang, Yaolin 56 Mei, Liquan 55 Abdi, Ali 55 Doha, Eid H. 54 Avazzadeh, Zakieh 54 Vong, Seakweng 53 Karniadakis, George Em 52 Harbrecht, Helmut 51 Rui, Hongxing 51 Shang, Yueqiang 51 Weiner, Rüdiger 50 Baccouch, Mahboub 50 Huang, Pengzhan 50 Yang, Xuehua 50 Zhao, Jingjun 49 Turner, Ian William 49 Wang, Yushun 49 Yang, Xiaofeng 48 Brugnano, Luigi 48 Zhang, Haixiang 47 Li, Jian 47 Zhang, Guofeng 46 Hojjati, Gholamreza 46 Hou, Yanren 46 Praetorius, Dirk 45 Burman, Erik 45 Qiu, Wenlin 45 Xu, Yang 44 Ramos, Higinio 44 Roul, Pradip 44 Zhang, Jiwei 44 Zhu, Jun 43 Macías-Díaz, Jorge Eduardo 43 Natesan, Srinivasan 42 Benner, Peter 42 Brezinski, Claude 42 Ding, Xiaohua 42 Siraj-ul-Islam 42 Song, Songhe 42 Wang, Bin 41 Conte, Dajana 41 Gander, Martin Jakob 41 Ostermann, Alexander 41 Tsitouras, Charalampos 40 Marcellán Español, Francisco 40 Nguyen Huy Tuan 40 Sandu, Adrian 40 Shen, Jie 40 Sun, Haiwei 40 Wohlmuth, Barbara I. 39 Abbasbandy, Saeid 39 Amat Plata, Sergio 39 Burrage, Kevin 39 Chen, Zhangxin 39 Li, Dongfang 39 Li, Shoufu ...and 30,419 more Authors all top 5 Cited in 857 Journals 2,229 Journal of Computational and Applied Mathematics 2,157 Applied Numerical Mathematics 2,150 Journal of Computational Physics 1,442 Applied Mathematics and Computation 1,380 Computers & Mathematics with Applications 1,115 Journal of Scientific Computing 1,094 Computer Methods in Applied Mechanics and Engineering 859 Numerical Algorithms 592 International Journal of Computer Mathematics 532 SIAM Journal on Scientific Computing 529 Numerical Methods for Partial Differential Equations 515 Computational and Applied Mathematics 502 Mathematical Methods in the Applied Sciences 491 Mathematics and Computers in Simulation 441 Engineering Analysis with Boundary Elements 434 Computers and Fluids 374 Communications in Nonlinear Science and Numerical Simulation 361 International Journal for Numerical Methods in Engineering 358 Numerische Mathematik 330 Applied Mathematical Modelling 320 BIT 310 Applied Mathematics Letters 309 Mathematics of Computation 268 SIAM Journal on Numerical Analysis 268 Advances in Computational Mathematics 226 Computer Physics Communications 218 Journal of Mathematical Analysis and Applications 216 Journal of Applied Mathematics and Computing 213 Journal of Mathematical Chemistry 209 Numerical Linear Algebra with Applications 201 Advances in Difference Equations 200 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 196 Mathematical Problems in Engineering 190 Calcolo 174 Advances in Applied Mathematics and Mechanics 164 International Journal for Numerical Methods in Fluids 157 Linear Algebra and its Applications 151 Communications in Computational Physics 143 Journal of Fluid Mechanics 141 Abstract and Applied Analysis 131 Computational Mechanics 125 Chaos, Solitons and Fractals 122 International Journal of Applied and Computational Mathematics 114 Applicable Analysis 105 International Journal of Numerical Analysis and Modeling 102 International Journal of Computational Methods 100 Mathematical and Computer Modelling 98 East Asian Journal on Applied Mathematics 97 Discrete and Continuous Dynamical Systems. 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