## 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: Indexed cover-to-cover
 Documents Indexed: 4,200 Publications (since 1985) References Indexed: 3,890 Publications with 104,951 References.
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### Authors

 33 Dehghan Takht Fooladi, Mehdi 31 Jackiewicz, Zdzislaw 28 Weiner, Rüdiger 27 Butcher, John C. 21 Reichel, Lothar 20 van der Houwen, Pieter J. 19 Sommeijer, Ben P. 19 Verwer, Jan G. 18 Brezinski, Claude 15 Zhang, Chengjian 14 Baccouch, Mahboub 14 Brugnano, Luigi 14 Flaherty, Joseph E. 13 Băleanu, Dumitru I. 13 Burrage, Kevin 13 Li, Zi-Cai 13 Schmitt, Bernhard A. 13 Turkel, Eli L. 12 Abdi, Ali 12 Oosterlee, Cornelis Willebrordus 12 Ostermann, Alexander 12 Paternoster, Beatrice 11 Abbaszadeh, Mostafa 11 Macías-Díaz, Jorge Eduardo 11 Redivo-Zaglia, Michela 11 Shi, Dongyang 10 Boyd, John Philip 10 D’Ambrosio, Raffaele 10 Ferreira, José Augusto 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 Stephan, Ernst Peter 10 Trigiante, Donato 10 Wu, Xinyuan 9 Arnold, Martin 9 Bai, Zhongzhi 9 Berzins, Martin 9 Blanes, Sergio 9 Chen, Yanping 9 Günther, Michael 9 Guo, Ben-Yu 9 Hojjati, Gholamreza 9 Huang, Hung-Tsai 9 Hundsdorfer, Willem H. 9 Jbilou, Khalide 9 Jorge, Juan Carlos 9 Lima, Pedro Miguel 9 Mikula, Karol 9 Podhaisky, Helmut 9 Shen, Jie 9 Stynes, Martin 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 Copetti, Maria Inês M. 8 Feldstein, Alan 8 Fernández, Jose Ramon 8 He, Yinnian 8 Huang, Chengming 8 Jimack, Peter K. 8 Li, Xiaoli 8 Liang, Dong 8 Mazzia, Francesca 8 O’Riordan, Eugene 8 Pulch, Roland 8 Roul, Pradip 8 Sanz-Serna, Jesús María 8 Shu, Chi-Wang 8 Spijker, Marc N. 8 Spitaleri, Rosa Maria 8 Strehmel, Karl 8 Van Daele, Marnix 8 Vanden Berghe, Guido 8 Vuik, Cornelis 8 Wang, Zhongqing 8 Weinmüller, Ewa B. 8 Xiao, Aiguo 8 Zaky, Mahmoud A. 8 Zennaro, Marino 8 Zhao, Jingjun 7 Alonso-Mallo, Isaías 7 Biswas, Rupak 7 Bürger, Raimund 7 Chacón Rebollo, Tomás 7 Chen, Jinru 7 Dumbser, Michael 7 Ford, Neville J. 7 Forsyth, Peter A. 7 Gladwell, Ian 7 González-Pinto, Severiano 7 Gottlieb, David I. 7 Hadjidimos, Apostolos ...and 5,425 more Authors
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### Fields

 3,587 Numerical analysis (65-XX) 1,391 Partial differential equations (35-XX) 639 Fluid mechanics (76-XX) 620 Ordinary differential equations (34-XX) 231 Integral equations (45-XX) 180 Mechanics of deformable solids (74-XX) 157 Approximations and expansions (41-XX) 126 Operations research, mathematical programming (90-XX) 125 Optics, electromagnetic theory (78-XX) 119 Probability theory and stochastic processes (60-XX) 110 Biology and other natural sciences (92-XX) 106 Calculus of variations and optimal control; optimization (49-XX) 103 Real functions (26-XX) 101 Dynamical systems and ergodic theory (37-XX) 87 Linear and multilinear algebra; matrix theory (15-XX) 66 Classical thermodynamics, heat transfer (80-XX) 64 Geophysics (86-XX) 63 Special functions (33-XX) 61 General and overarching topics; collections (00-XX) 57 Statistical mechanics, structure of matter (82-XX) 55 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 50 Harmonic analysis on Euclidean spaces (42-XX) 46 Operator theory (47-XX) 44 Mechanics of particles and systems (70-XX) 42 Computer science (68-XX) 42 Information and communication theory, circuits (94-XX) 36 Functions of a complex variable (30-XX) 34 Systems theory; control (93-XX) 27 Quantum theory (81-XX) 24 Sequences, series, summability (40-XX) 24 Integral transforms, operational calculus (44-XX) 14 Statistics (62-XX) 13 History and biography (01-XX) 10 Difference and functional equations (39-XX) 9 Potential theory (31-XX) 8 Number theory (11-XX) 8 Differential geometry (53-XX) 6 Combinatorics (05-XX) 6 Field theory and polynomials (12-XX) 6 Functional analysis (46-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Astronomy and astrophysics (85-XX) 3 Topological groups, Lie groups (22-XX) 3 Relativity and gravitational theory (83-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX)

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3,327 Publications have been cited 33,124 times in 23,147 Documents Cited by Year
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2006
Finite difference approximations for two-sided space-fractional partial differential equations. Zbl 1086.65087
2006
Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations. Zbl 0896.65061
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1997
Numerical solution of problems on unbounded domains. A review. Zbl 0939.76077
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Strong contractivity properties of numerical methods for ordinary and delay differential equations. Zbl 0749.65042
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Additive Runge-Kutta schemes for convection-diffusion-reaction equations. Zbl 1013.65103
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2003
Mathematical and numerical models for coupling surface and groundwater flows. Zbl 1023.76048
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2002
Parallel, adaptive finite element methods for conservation laws. Zbl 0826.65084
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1994
BoomerAMG: A parallel algebraic multigrid solver and preconditioner. Zbl 0995.65128
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2002
Solving DDEs in Matlab. Zbl 0983.65079
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2001
Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 1038.65096
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2004
Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method. Zbl 1316.65099
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2012
The immersed interface method using a finite element formulation. Zbl 0936.65091
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1998
Absorbing PML boundary layers for wave-like equations. Zbl 0933.35188
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1998
Optimization as a function of the phase-lag order of nonlinear explicit two-step $$P$$-stable method for linear periodic IVPs. Zbl 1169.65324
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2009
Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems. Zbl 1012.65136
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2002
Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations. Zbl 0986.76060
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2000
Global FOM and GMRES algorithms for matrix equations. Zbl 0935.65024
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1999
On a class of preconditioners for solving the Helmholtz equation. Zbl 1051.65101
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2004
On large time-stepping methods for the Cahn-Hilliard equation. Zbl 1118.65109
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2007
A finite difference scheme for partial integro-differential equations with a weakly singular kernel. Zbl 0768.65093
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1993
Some results on uniformly high-order accurate essentially nonoscillatory schemes. Zbl 0627.65101
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1986
Efficient techniques for the second-order parabolic equation subject to nonlocal specifications. Zbl 1063.65079
Dehghan, Mehdi
2005
Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials. Zbl 0927.65097
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1998
Several new numerical methods for compressible shear-layer simulations. Zbl 0804.76062
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1994
An algebraic theory for primal and dual substructuring methods by constraints. Zbl 1076.65100
Mandel, Jan; Dohrmann, Clark R.; Tezaur, Radek
2005
Restoring particle consistency in smoothed particle hydrodynamics. Zbl 1329.76285
Liu, M. B.; Liu, G. R.
2006
A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations. Zbl 1155.35406
He, Yinnian; Li, Jian
2008
A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative. Zbl 1326.65111
Sousa, Ercília; Li, Can
2015
A meshless based method for solution of integral equations. Zbl 1202.65174
Mirzaei, Davoud; Dehghan, Mehdi
2010
New methods for oscillatory systems based on ARKN methods. Zbl 1096.65068
Franco, J. M.
2006
Review of preconditioning methods for fluid dynamics. Zbl 0770.76048
Turkel, E.
1993
Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems. Zbl 0867.76025
Dongarra, J. J.; Straughan, B.; Walker, D. W.
1996
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
2010
A comparative study of sparse approximate inverse preconditioners. Zbl 0949.65043
Benzi, Michele; Tuma, Miroslav
1999
High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations. Zbl 0868.65101
Burrage, K.; Burrage, P. M.
1996
The midpoint upwind scheme. Zbl 0877.65055
Stynes, Martin; Roos, Hans-Görg
1997
Exponential Runge-Kutta methods for parabolic problems. Zbl 1070.65099
Hochbruck, Marlis; Ostermann, Alexander
2005
A cut finite element method for a Stokes interface problem. Zbl 1299.76136
Hansbo, Peter; Larson, Mats G.; Zahedi, Sara
2014
A study of orthonormal multi-wavelets. Zbl 0877.65098
Chui, Charles K.; Lian, Jian-ao
1996
An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations. Zbl 1353.65106
Bhrawy, A. H.; Zaky, M. A.
2017
Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations. Zbl 0983.65106
Calvo, M. P.; de Frutos, J.; Novo, J.
2001
A formulation of asymptotic and exact boundary conditions using local operators. Zbl 0924.35167
Hagstrom, Thomas; Hariharan, S. I.
1998
Block triangular preconditioners for symmetric saddle-point problems. Zbl 1053.65033
Simoncini, V.
2004
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
2009
A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation. Zbl 1282.65141
Wei, Ting; Wang, Jungang
2014
Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations. Zbl 1221.65220
Gao, Zhen; Xie, Shusen
2011
On the stability of implicit-explicit linear multistep methods. Zbl 0887.65094
Frank, J.; Hundsdorfer, W.; Verwer, J. G.
1997
Adaptive radial basis function methods for time dependent partial differential equations. Zbl 1069.65109
Sarra, Scott A.
2005
Diagonally-implicit multi-stage integration methods. Zbl 0773.65046
Butcher, J. C.
1993
High order Runge-Kutta methods on manifolds. Zbl 0934.65077
Munthe-Kaas, Hans
1999
Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales. Zbl 1144.76029
Codina, Ramon
2008
Numerical valuation of options with jumps in the underlying. Zbl 1117.91028
Almendral, Ariel; Oosterlee, Cornelis W.
2005
Multisymplectic box schemes and the Korteweg-de Vries equation. Zbl 1038.65138
Ascher, Uri M.; McLachlan, Robert I.
2004
Discontinuous Galerkin methods for coupled flow and reactive transport problems. Zbl 1079.76584
Sun, Shuyu; Wheeler, Mary F.
2005
Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials. Zbl 1152.65112
Doha, Eid H.; Bhrawy, Ali H.
2008
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.
1996
Discrete multi-resolution analysis and generalized wavelets. Zbl 0777.65004
Harten, Ami
1993
A moving least square reproducing polynomial meshless method. Zbl 1284.65137
Salehi, Rezvan; Dehghan, Mehdi
2013
A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074
Benzi, Michele; Guo, Xue-Ping
2011
Preconditioners for saddle point problems arising in computational fluid dynamics. Zbl 1168.76348
Elman, Howard C.
2002
On the rotation and skew-symmetric forms for incompressible flow simulations. Zbl 0708.76071
Zang, Thomas A.
1991
Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem. Zbl 0963.65086
Beckett, G.; Mackenzie, J. A.
2000
An affine scaling trust-region approach to bound-constrained nonlinear systems. Zbl 1018.65067
Bellavia, Stefania; Macconi, Maria; Morini, Benedetta
2003
Meshless Galerkin algorithms for boundary integral equations with moving least square approximations. Zbl 1232.65160
Li, Xiaolin
2011
Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations. Zbl 1382.65222
Mao, Zhiping; Chen, Sheng; Shen, Jie
2016
A class of discontinuous Petrov-Galerkin methods. III: Adaptivity. Zbl 1316.76047
Demkowicz, Leszek; Gopalakrishnan, Jay; Niemi, Antti H.
2012
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
2009
On the numerical inversion of the Laplace transform of certain holomorphic mappings. Zbl 1059.65120
López-Fernández, M.; Palencia, C.
2004
ROWMAP – a ROW-code with Krylov techniques for large stiff ODEs. Zbl 0895.65035
Weiner, R.; Schmitt, B. A.; Podhaisky, H.
1997
A nonstandard finite-difference scheme for the Lotka–Volterra system. Zbl 1025.65047
Mickens, Ronald E.
2003
A trigonometrically fitted explicit Numerov-type method for second-order initial value problems with oscillating solutions. Zbl 1136.65068
Fang, Yonglei; Wu, Xinyuan
2008
Adjoint operators for the natural discretizations of the divergence, gradient and curl on logically rectangular grids. Zbl 1005.65024
Hyman, James M.; Shashkov, Mikhail
1997
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
2013
Error estimates for the finite point method. Zbl 1145.65086
Cheng, Rongjun; Cheng, Yumin
2008
Overlapping domain decomposition method by radial basis functions. Zbl 1013.65134
Zhou, X.; Hon, Y. C.; Li, Jichun
2003
Unconditional stability of second-order ADI schemes applied to multi-dimensional diffusion equations with mixed derivative terms. Zbl 1161.65073
in ’t Hout, K. J.; Welfert, B. D.
2009
Positive stable block triangular preconditioners for symmetric saddle point problems. Zbl 1118.65021
Cao, Zhi-Hao
2007
Stability of ADI schemes applied to convection–diffusion equations with mixed derivative terms. Zbl 1175.65104
in ’t Hout, K. J.; Welfert, B. D.
2007
Finite volume methods, unstructured meshes and strict stability for hyperbolic problems. Zbl 1019.65066
Nordström, Jan; Forsberg, Karl; Adamsson, Carl; Eliasson, Peter
2003
Generalized Jacobi polynomials/functions and their applications. Zbl 1171.33006
Guo, Ben-Yu; Shen, Jie; Wang, Li-Lian
2009
A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations. Zbl 1123.65040
An, Heng-Bin; Bai, Zhong-Zhi
2007
Wavelet-Galerkin method for integro-differential equations. Zbl 0955.65100
Avudainayagam, A.; Vani, C.
2000
ADI schemes for higher-order nonlinear diffusion equations. Zbl 1061.76051
Witelski, T. P.; Bowen, M.
2003
Quasi-orthogonality with applications to some families of classical orthogonal polynomials. Zbl 1047.33002
Brezinski, C.; Driver, K. A.; Redivo-Zaglia, M.
2004
Optimal implicit strong stability preserving Runge-Kutta methods. Zbl 1157.65046
Ketcheson, David I.; Macdonald, Colin B.; Gottlieb, Sigal
2009
Laguerre matrix polynomials and systems of second-order differential equations. Zbl 0821.34010
Jódar, L.; Company, R.; Navarro, E.
1994
Error estimates for the moving least-square approximation and the element-free Galerkin method in $$n$$-dimensional spaces. Zbl 1329.65274
Li, Xiaolin
2016
Fourierization of the Legendre-Galerkin method and a new space-time spectral method. Zbl 1118.65111
Shen, Jie; Wang, Li-Lian
2007
On the low-rank approximation by the pivoted Cholesky decomposition. Zbl 1244.65042
Harbrecht, Helmut; Peters, Michael; Schneider, Reinhold
2012
Geometrical image segmentation by the Allen-Cahn equation. Zbl 1055.94502
Beneš, Michal; Chalupecký, Vladimír; Mikula, Karol
2004
A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations. Zbl 1302.65175
Doha, E. H.; Bhrawy, A. H.; Baleanu, D.; Hafez, R. M.
2014
A high order, progressive method for the evaluation of irregular oscillatory integrals. Zbl 0906.65024
Evans, G. A.; Webster, J. R.
1997
Multistep collocation methods for Volterra integral equations. Zbl 1172.65069
Conte, D.; Paternoster, B.
2009
Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation. Zbl 1263.65118
Mirzaei, Davoud; Schaback, Robert
2013
Explicit Runge-Kutta methods for parabolic partial differential equations. Zbl 0868.65064
Verwer, J. G.
1996
Parallel adaptive $$hp$$-refinement techniques for conservation laws. Zbl 0860.65095
Devine, Karen D.; Flaherty, Joseph E.
1996
Fast Uzawa algorithm for generalized saddle point problems. Zbl 1032.65029
Cao, Zhi-Hao
2003
Semi-implicit projection methods for incompressible flow based on spectral deferred corrections. Zbl 1035.76040
Minion, Michael L.
2004
Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation. Zbl 1094.65041
Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.
2006
A stable and efficient technique for linear boundary value problems by applying kernel functions. Zbl 07441550
Li, X. Y.; Wang, H. L.; Wu, B. Y.
2022
Convergence in the maximum norm of ADI-type methods for parabolic problems. Zbl 07418837
González-Pinto, S.; Hernández-Abreu, D.
2022
Partitioned time stepping method with different time scales for a dual-porosity-Stokes model. Zbl 07418838
Shan, Li; Zhang, Haicheng
2022
Supercloseness of finite element method on a bakhvalov-type mesh for a singularly perturbed problem with two parameters. Zbl 07418840
Zhang, Jin; Lv, Yanhui
2022
A reduced-order extrapolated finite difference iterative scheme for uniform transmission line equation. Zbl 07441569
Deng, Qiuxiang; Luo, Zhendong
2022
Non-iterative domain decomposition for the Helmholtz equation with strong material discontinuities. Zbl 07468857
North, Evan; Tsynkov, Semyon; Turkel, Eli
2022
Least-squares ReLU neural network (LSNN) method for scalar nonlinear hyperbolic conservation law. Zbl 07483308
Cai, Zhiqiang; Chen, Jingshuang; Liu, Min
2022
A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives. Zbl 1457.76114
2021
Sharp error estimate of a compact $$L1$$-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels. Zbl 1459.65160
Wang, Zhibo; Cen, Dakang; Mo, Yan
2021
A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems. Zbl 1460.65095
Xu, Minqiang; Zhang, Lufang; Tohidi, Emran
2021
A high-order accurate finite difference scheme for the KdV equation with time-periodic boundary forcing. Zbl 1459.76094
Wang, Xiaofeng; Dai, Weizhong; Usman, Muhammad
2021
Optimal point-wise error estimate of two conservative fourth-order compact finite difference schemes for the nonlinear Dirac equation. Zbl 1457.81035
Li, Jiyong; Wang, Tingchun
2021
Convergence analysis of weak Galerkin flux-based mixed finite element method for solving singularly perturbed convection-diffusion-reaction problem. Zbl 1459.65221
Gharibi, Zeinab; Dehghan, Mehdi
2021
Analysis of versions of relaxed inertial projection and contraction method. Zbl 1466.49015
Shehu, Yekini; Liu, Lulu; Mu, Xuewen; Dong, Qiao-Li
2021
The Crank-Nicolson-type Sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel. Zbl 1459.65189
Qiu, Wenlin; Xu, Da; Guo, Jing
2021
A meshless method for time fractional nonlinear mixed diffusion and diffusion-wave equation. Zbl 1459.65137
Bhardwaj, Akanksha; Kumar, Alpesh
2021
An efficient dissipation-preserving Legendre-Galerkin spectral method for the Higgs boson equation in the de Sitter spacetime universe. Zbl 1458.35411
Zaky, Mahmoud A.; Hendy, Ahmed S.
2021
A preconditioned fast finite element approximation to variable-order time-fractional diffusion equations in multiple space dimensions. Zbl 1471.65144
Jia, Jinhong; Wang, Hong; Zheng, Xiangcheng
2021
Two spectral Legendre’s derivative algorithms for Lane-Emden, Bratu equations, and singular perturbed problems. Zbl 1472.65090
Abdelhakem, M.; Youssri, Y. H.
2021
Shifted fifth-kind Chebyshev Galerkin treatment for linear hyperbolic first-order partial differential equations. Zbl 1476.65235
Atta, A. G.; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H.
2021
A parallel stabilized finite element variational multiscale method based on fully overlapping domain decomposition for the incompressible Navier-Stokes equations. Zbl 1459.65228
Zheng, Bo; Y. Q. Shang, Yueqiang
2021
On the identification of nonlinear terms in the generalized Camassa-Holm equation involving dual-power law nonlinearities. Zbl 1459.65153
Nanta, Supawan; Yimnet, Suriyon; Poochinapan, Kanyuta; Wongsaijai, Ben
2021
Perturbation analysis for total least squares problems with linear equality constraint. Zbl 1459.65085
Liu, Qiaohua; Chen, Cuiping; Zhang, Qian
2021
Efficient numerical algorithms for Riesz-space fractional partial differential equations based on finite difference/operational matrix. Zbl 1475.65081
Srivastava, Nikhil; Singh, Aman; Kumar, Yashveer; Singh, Vineet Kumar
2021
Moving least squares and spectral collocation method to approximate the solution of stochastic Volterra-Fredholm integral equations. Zbl 1472.65165
Mirzaee, Farshid; Solhi, Erfan; Samadyar, Nasrin
2021
Numerical analysis and applications of explicit high order maximum principle preserving integrating factor Runge-Kutta schemes for Allen-Cahn equation. Zbl 07310823
Zhang, Hong; Yan, Jingye; Qian, Xu; Song, Songhe
2021
Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations. Zbl 1461.65246
Heydari, M. H.; Avazzadeh, Z.; Atangana, A.
2021
A fast numerical method for fractional partial integro-differential equations with spatial-time delays. Zbl 1461.65218
Aslan, Ersin; Kürkçü, Ömür Kıvanç; Sezer, Mehmet
2021
A reduced-order extrapolated model based on splitting implicit finite difference scheme and proper orthogonal decomposition for the fourth-order nonlinear Rosenau equation. Zbl 1458.35381
Zhou, Yanjie; Zhang, Yanan; Liang, Ye; Luo, Zhendong
2021
A class of efficient time-stepping methods for multi-term time-fractional reaction-diffusion-wave equations. Zbl 1475.65136
Yin, Baoli; Liu, Yang; Li, Hong; Zeng, Fanhai
2021
Decoupled modified characteristic finite element method with different subdomain time steps for nonstationary dual-porosity-Navier-Stokes model. Zbl 1468.76038
Cao, Luling; He, Yinnian; Li, Jian; Mahbub, Md. Abdullah Al
2021
On the Hermitian and skew-Hermitian splitting-like iteration approach for solving complex continuous-time algebraic Riccati matrix equation. Zbl 1482.65065
Dehghan, Mehdi; Shirilord, Akbar
2021
Arbitrarily high order structure-preserving algorithms for the Allen-Cahn model with a nonlocal constraint. Zbl 07398308
Hong, Qi; Gong, Yuezheng; Zhao, Jia; Wang, Qi
2021
Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method. Zbl 1482.65120
2021
A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations. Zbl 1459.65145
2021
A family of new globally convergent linearization schemes for solving Richards’ equation. Zbl 1459.65135
Albuja, Guillermo; Ávila, Andrés I.
2021
A Crank-Nicolson ADI quadratic spline collocation method for two-dimensional Riemann-Liouville space-fractional diffusion equations. Zbl 1462.65162
Liu, Jun; Zhu, Chen; Chen, Yanping; Fu, Hongfei
2021
A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach. Zbl 1467.65082
Fu, Yayun; Cai, Wenjun; Wang, Yushun
2021
Optimal-order finite element approximations to variable-coefficient two-sided space-fractional advection-reaction-diffusion equations in three space dimensions. Zbl 1462.65208
Zheng, Xiangcheng; Liu, Huan; Wang, Hong; Fu, Hongfei
2021
Numerical solution of nonlinear weakly singular Volterra integral equations of the first kind: an hp-version collocation approach. Zbl 1471.65222
2021
Numerical technique for fractional variable-order differential equation of fourth-order with delay. Zbl 1460.65130
Nandal, Sarita; Pandey, Dwijendra Narain
2021
Fast spectral Petrov-Galerkin method for fractional elliptic equations. Zbl 1458.65155
Hao, Zhaopeng; Zhang, Zhongqiang
2021
A divergence-free generalized moving least squares approximation with its application. Zbl 1458.76080
2021
The power method and beyond. Zbl 1460.65038
Bai, Zhong-Zhi; Wu, Wen-Ting; Muratova, Galina V.
2021
A geometric probability randomized Kaczmarz method for large scale linear systems. Zbl 1460.65036
Yang, Xi
2021
Two-dimensional Euler polynomials solutions of two-dimensional Volterra integral equations of fractional order. Zbl 1464.65293
Wang, Yifei; Huang, Jin; Wen, Xiaoxia
2021
Computing the matrix sine and cosine simultaneously with a reduced number of products. Zbl 1460.65047
Seydaoğlu, Muaz; Bader, Philipp; Blanes, Sergio; Casas, Fernando
2021
Convergence analysis of a second-order semi-implicit projection method for Landau-Lifshitz equation. Zbl 1469.82037
Chen, Jingrun; Wang, Cheng; Xie, Changjian
2021
Filon quadrature for stochastic oscillators driven by time-varying forces. Zbl 07379316
D&rsquo;Ambrosio, Raffaele; Scalone, Carmela
2021
A general framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with time delay. Zbl 07379321
Hendy, Ahmed S.; Zaky, Mahmoud A.; De Staelen, Rob H.
2021
A third-order WENO scheme based on exponential polynomials for Hamilton-Jacobi equations. Zbl 1475.65073
Kim, Chang Ho; Ha, Youngsoo; Yang, Hyoseon; Yoon, Jungho
2021
Explicit pseudo-transient continuation and the trust-region updating strategy for unconstrained optimization. Zbl 1468.65073
Luo, Xin-long; Xiao, Hang; Lv, Jia-hui; Zhang, Sen
2021
Splitting schemes for non-stationary problems with a rational approximation for fractional powers of the operator. Zbl 1475.65082
Vabishchevich, Petr N.
2021
An efficient numerical method for forward-backward stochastic differential equations driven by $$G$$-Brownian motion. Zbl 07354406
Hu, Mingshang; Jiang, Lianzi
2021
Numerical analysis of a dual-phase-lag model with microtemperatures. Zbl 1465.74042
Bazarra, N.; Copetti, M. I. M.; Fernández, J. R.; Quintanilla, R.
2021
Two moments consistent discrete formulation for binary breakage population balance equation and its convergence. Zbl 07354415
Singh, Mehakpreet; Matsoukas, Themis; Walker, Gavin
2021
On the filtered polynomial interpolation at Chebyshev nodes. Zbl 1465.65010
Occorsio, Donatella; Themistoclakis, Woula
2021
Superconvergent kernel functions approaches for the second kind Fredholm integral equations. Zbl 1467.65117
Li, X. Y.; Wu, B. Y.
2021
Fractional order Alpert multiwavelets for discretizing delay fractional differential equation of pantograph type. Zbl 1482.65102
Hashemi, M. S.; Ashpazzadeh, E.; Moharrami, M.; Lakestani, M.
2021
Efficient space-time Legendre rational spectral method for parabolic problems in unbounded domains. Zbl 07398292
Yu, Xuhong; Li, Long; Wang, Zhongqing
2021
Terminal value problems for the nonlinear systems of fractional differential equations. Zbl 1482.65109
Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru
2021
An efficient Mittag-Leffler kernel approach for time-fractional advection-reaction-diffusion equation. Zbl 07398301
Kumar, Sachin; Zeidan, Dia
2021
Self-adaptive inertial single projection methods for variational inequalities involving non-Lipschitz and Lipschitz operators with their applications to optimal control problems. Zbl 07398303
Tan, Bing; Li, Songxiao; Qin, Xiaolong
2021
Efficient two-step Runge-Kutta methods for fluid dynamics simulations. Zbl 1459.65111
Figueroa, Alejandro; Jackiewicz, Zdzisław; Löhner, Rainald
2021
Unconditional optimal error estimates of linearized second-order BDF Galerkin FEMs for the Landau-Lifshitz equation. Zbl 1459.65191
Yang, Yun-Bo; Jiang, Yao-Lin
2021
Improved ZZ a posteriori error estimators for diffusion problems: discontinuous elements. Zbl 1460.65143
Cai, Zhiqiang; He, Cuiyu; Zhang, Shun
2021
A fourth-order conservative difference scheme for the Riesz space-fractional Sine-Gordon equations and its fast implementation. Zbl 1459.65161
Xing, Zhiyong; Wen, Liping; Xiao, Hanyu
2021
Operator splitting for space-dependent epidemic model. Zbl 1459.65139
Csomós, Petra; Takács, Bálint
2021
A partially proximal S-ADMM for separable convex optimization with linear constraints. Zbl 1459.90159
Shen, Yuan; Zuo, Yannian; Yu, Aolin
2021
An asymptotic preserving semi-implicit multiderivative solver. Zbl 1459.65159
Schütz, Jochen; Seal, David C.
2021
Mapped spectral collocation methods for Volterra integral equations with noncompact kernels. Zbl 1472.65169
Yang, Yin; Tang, Zhuyan
2021
Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction. Zbl 1457.76095
Aggul, Mustafa; Kaya, Songül
2021
High-order multiderivative IMEX schemes. Zbl 1460.65112
Dittmann, Alexander J.
2021
Iterated fractional Tikhonov regularization method for solving the spherically symmetric backward time-fractional diffusion equation. Zbl 1467.65090
Yang, Shuping; Xiong, Xiangtuan; Nie, Yan
2021
Construction of SDIRK methods with dispersive stability functions. Zbl 1459.65112
Izzo, Giuseppe; Jackiewicz, Zdzislaw
2021
A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method. Zbl 1459.65126
Jong, KumSong; Choi, HuiChol; Jang, KyongJun; Pak, SunAe
2021
Rotational pressure-correction method for the Stokes/Darcy model based on the modular grad-div stabilization. Zbl 1458.35340
Li, Wei; Fang, Jilin; Qin, Yi; Huang, Pengzhan
2021
A unified spectral collocation method for nonlinear systems of multi-dimensional integral equations with convergence analysis. Zbl 1459.65250
Zaky, Mahmoud A.; Ameen, Ibrahem G.; Elkot, Nermeen A.; Doha, Eid H.
2021
Nonlinear finite volume discretization for transient diffusion problems on general meshes. Zbl 1460.76639
Quenjel, El Houssaine
2021
An hp-version of the discontinuous Galerkin time-stepping method for Volterra integral equations with weakly singular kernels. Zbl 1459.65249
Wang, Lina; Tian, Hongjiong; Yi, Lijun
2021
Linearly implicit GARK schemes. Zbl 1475.65077
Sandu, Adrian; Günther, Michael; Roberts, Steven
2021
On the ill-posed analytic continuation problem: an order optimal regularization scheme. Zbl 1459.65034
2021
Convergence and numerical simulations of prey-predator interactions via a meshless method. Zbl 1460.65098
Benito, J. J.; García, A.; Gavete, L.; Negreanu, M.; Ureña, F.; Vargas, A. M.
2021
A meshless finite difference method for elliptic interface problems based on pivoted QR decomposition. Zbl 1460.65132
Davydov, Oleg; Safarpoor, Mansour
2021
Spectral approximation methods for non equilibrium transport in turbulent channel flows using fADE. Zbl 1459.65195
Ghosh, Surath; Kundu, Snehasis; Kumar, Sunil; Mahmoud, Emad E.
2021
Higher order pathwise approximation for the stochastic Burgers’ equation with additive noise. Zbl 1468.60080
Khan, Feroz
2021
Error estimates in weak Galerkin finite element methods for parabolic equations under low regularity assumptions. Zbl 1466.65125
Deka, Bhupen; Kumar, Naresh
2021
Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition. Zbl 1461.65227
Gracia, Jose Luis; O&rsquo;Riordan, Eugene
2021
New primal-dual weak Galerkin finite element methods for convection-diffusion problems. Zbl 1460.65144
Cao, Waixiang; Wang, Chunmei
2021
Optimal superconvergence and asymptotically exact a posteriori error estimator for the local discontinuous Galerkin method for linear elliptic problems on Cartesian grids. Zbl 1458.65144
Baccouch, Mahboub
2021
A least squares-based approach to evaluating strongly singular integrals. Zbl 1460.65021
Castejón Lafuente, A.; Illán González, J. R.
2021
Dominant Hermitian splitting iteration method for discrete space-fractional diffusion equations. Zbl 1460.65035
Lu, Kang-Ya; Xie, Dong-Xiu; Chen, Fang; Muratova, Galina V.
2021
A novel modified TRSVD method for large-scale linear discrete ill-posed problems. Zbl 1460.65041
Bai, Xianglan; Huang, Guang-Xin; Lei, Xiao-Jun; Reichel, Lothar; Yin, Feng
2021
A modified modulus-based multigrid method for linear complementarity problems arising from free boundary problems. Zbl 1460.65155
Zhang, Li-Li; Ren, Zhi-Ru
2021
A randomized exponential canonical correlation analysis method for data analysis and dimensionality reduction. Zbl 1478.62148
Wu, Gang; Li, Fei
2021
A modulus-based multigrid method for image retinex. Zbl 1461.90155
Sun, Li; Huang, Yu-Mei
2021
A linear, high-order, and unconditionally energy stable scheme for the epitaxial thin film growth model without slope selection. Zbl 1458.65120
Shin, Jaemin; Lee, Hyun Geun
2021
Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations. Zbl 1466.49029
Bai, Zhong-Zhi; Lu, Kang-Ya
2021
Two-level defect-correction stabilized algorithms for the simulation of 2D/3D steady Navier-Stokes equations with damping. Zbl 1466.65210
Zheng, Bo; Shang, Yueqiang
2021
A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients. Zbl 07371855
Toprakseven, Şuayip
2021
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### Cited by 22,408 Authors

 255 Dehghan Takht Fooladi, Mehdi 141 Simos, Theodore E. 85 Shu, Chi-Wang 80 He, Yinnian 75 Jackiewicz, Zdzislaw 75 Zhang, Chengjian 67 Abbaszadeh, Mostafa 67 Wu, Xinyuan 63 Huang, Chengming 63 Reichel, Lothar 60 Liu, Fawang 59 Shi, Dongyang 58 Li, Xiaolin 58 Wang, Hong 56 Huang, Ting-Zhu 55 Chen, Yanping 54 Luo, Zhendong 54 Sun, Zhizhong 53 Bhrawy, Ali Hassan 53 Feng, Xinlong 53 Xu, Da 51 Weiner, Rüdiger 50 Codina, Ramon 48 Jbilou, Khalide 48 Nordström, Jan 47 Qiu, Jianxian 46 D’Ambrosio, Raffaele 46 Dumbser, Michael 46 Huang, Yunqing 46 Ma, Changfeng 46 Wang, Wansheng 45 He, Xiaoming 45 Karniadakis, George Em 45 Xiao, Aiguo 43 Brezinski, Claude 43 Doha, Eid H. 43 Paternoster, Beatrice 41 Băleanu, Dumitru I. 41 Harbrecht, Helmut 41 Sun, Haiwei 40 Li, Hong 40 Mei, Liquan 40 Siraj-ul-Islam 39 Zhang, Guofeng 39 Zhang, Zhimin 38 Baccouch, Mahboub 38 Brugnano, Luigi 38 Ordokhani, Yadollah 38 Zhao, Jingjun 37 Benner, Peter 37 Macías-Díaz, Jorge Eduardo 37 Ostermann, Alexander 37 Sandu, Adrian 37 Turner, Ian William 36 Praetorius, Dirk 36 Zaky, Mahmoud A. 35 Boyd, John Philip 35 Burman, Erik 35 Ding, Xiaohua 35 Hou, Yanren 35 Jiang, Yaolin 34 Burrage, Kevin 34 Li, Shoufu 34 Marcellán Español, Francisco 34 Vong, Seakweng 33 Cao, Yang 33 Fang, Yonglei 33 Kim, Junseok 32 Abdi, Ali 32 Khojasteh Salkuyeh, Davod 32 Shang, Yueqiang 32 Wen, Liping 32 Wohlmuth, Barbara I. 32 Xu, Yang 32 Yang, Xiaofeng 32 You, Xiong 31 Guo, Ben-Yu 31 Hesthaven, Jan S. 31 Li, Jian 31 Liu, Yang 31 Natesan, Srinivasan 31 Shivanian, Elyas 30 Amat, Sergio P. 30 Badia, Santiago 30 Gan, Siqing 30 Gander, Martin Jakob 30 Huang, Weizhang 30 Li, Zi-Cai 30 Mohebbi, Akbar 30 Tsynkov, Semyon V. 30 Turkel, Eli L. 30 Xiang, Shuhuang 29 Abbasbandy, Saeid 29 Ferreira, José Augusto 29 Heydari, Mohammad Hossien 29 Huang, Pengzhan 29 Ruiz-Baier, Ricardo 29 Wang, Zhongqing 29 Zhang, Shangyou 28 Bürger, Raimund ...and 22,308 more Authors
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 1,797 Journal of Computational and Applied Mathematics 1,756 Applied Numerical Mathematics 1,654 Journal of Computational Physics 1,298 Applied Mathematics and Computation 949 Computers & Mathematics with Applications 847 Computer Methods in Applied Mechanics and Engineering 800 Journal of Scientific Computing 615 Numerical Algorithms 449 International Journal of Computer Mathematics 382 SIAM Journal on Scientific Computing 375 Computers and Fluids 344 Engineering Analysis with Boundary Elements 332 Numerische Mathematik 280 Mathematics and Computers in Simulation 274 Mathematics of Computation 274 Computational and Applied Mathematics 266 BIT 258 Applied Mathematical Modelling 226 Numerical Methods for Partial Differential Equations 213 Applied Mathematics Letters 197 SIAM Journal on Numerical Analysis 190 Advances in Computational Mathematics 187 International Journal for Numerical Methods in Engineering 176 Journal of Mathematical Analysis and Applications 172 Mathematical Problems in Engineering 168 Journal of Mathematical Chemistry 159 Advances in Difference Equations 147 Communications in Nonlinear Science and Numerical Simulation 141 Linear Algebra and its Applications 138 Abstract and Applied Analysis 135 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 125 Journal of Fluid Mechanics 121 Calcolo 118 Advances in Applied Mathematics and Mechanics 113 Numerical Linear Algebra with Applications 109 Computational Mechanics 104 Journal of Applied Mathematics and Computing 104 Communications in Computational Physics 99 International Journal for Numerical Methods in Fluids 98 Mathematical and Computer Modelling 97 Mathematical Methods in the Applied Sciences 92 Computer Physics Communications 87 Chaos, Solitons and Fractals 85 Numerical Functional Analysis and Optimization 84 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 83 International Journal of Applied and Computational Mathematics 80 Applicable Analysis 78 International Journal of Computational Methods 74 Journal of Applied Mathematics 71 East Asian Journal on Applied Mathematics 67 Computing 66 Inverse Problems in Science and Engineering 63 Computational Geosciences 59 Computational Optimization and Applications 59 Journal of Difference Equations and Applications 58 Physics of Fluids 57 Journal of Optimization Theory and Applications 57 Computational Methods in Applied Mathematics 56 Discrete and Continuous Dynamical Systems. Series B 54 Physica D 54 International Journal of Numerical Analysis and Modeling 53 Nonlinear Dynamics 52 Japan Journal of Industrial and Applied Mathematics 52 Mediterranean Journal of Mathematics 51 SIAM Journal on Matrix Analysis and Applications 51 Boundary Value Problems 50 Computational Mathematics and Mathematical Physics 49 Inverse Problems 49 International Journal of Computational Fluid Dynamics 47 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 46 Wave Motion 46 Journal of Approximation Theory 45 Journal of Inequalities and Applications 43 AIMS Mathematics 43 Communications on Applied Mathematics and Computation 42 Nonlinear Analysis. Real World Applications 41 ETNA. Electronic Transactions on Numerical Analysis 41 Science China. Mathematics 40 Journal of Inverse and Ill-Posed Problems 38 Applied Mathematics and Mechanics. (English Edition) 38 Acta Mathematicae Applicatae Sinica. English Series 37 Optimization Methods & Software 37 Combustion Theory and Modelling 37 Archives of Computational Methods in Engineering 37 Foundations of Computational Mathematics 36 Communications in Numerical Methods in Engineering 36 International Journal of Numerical Methods for Heat & Fluid Flow 36 Discrete and Continuous Dynamical Systems. Series S 35 Acta Mechanica 35 Journal of Differential Equations 35 Computing and Visualization in Science 35 Fractional Calculus & Applied Analysis 35 Discrete Dynamics in Nature and Society 34 Journal of Integral Equations and Applications 34 Mathematical Modelling and Analysis 34 Computational Methods for Differential Equations 33 Journal of Mathematical Physics 33 Journal of Global Optimization 33 Advances in Mathematical Physics 32 Journal of Engineering Mathematics ...and 616 more Journals
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### Cited in 61 Fields

 17,591 Numerical analysis (65-XX) 7,161 Partial differential equations (35-XX) 4,803 Fluid mechanics (76-XX) 2,618 Ordinary differential equations (34-XX) 1,574 Mechanics of deformable solids (74-XX) 1,141 Integral equations (45-XX) 868 Biology and other natural sciences (92-XX) 770 Probability theory and stochastic processes (60-XX) 716 Operations research, mathematical programming (90-XX) 691 Approximations and expansions (41-XX) 682 Calculus of variations and optimal control; optimization (49-XX) 622 Optics, electromagnetic theory (78-XX) 579 Linear and multilinear algebra; matrix theory (15-XX) 567 Real functions (26-XX) 506 Dynamical systems and ergodic theory (37-XX) 441 Systems theory; control (93-XX) 431 Classical thermodynamics, heat transfer (80-XX) 429 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 419 Special functions (33-XX) 408 Harmonic analysis on Euclidean spaces (42-XX) 379 Operator theory (47-XX) 336 Computer science (68-XX) 322 Statistical mechanics, structure of matter (82-XX) 309 Geophysics (86-XX) 247 Mechanics of particles and systems (70-XX) 235 Information and communication theory, circuits (94-XX) 192 Quantum theory (81-XX) 161 Statistics (62-XX) 139 Difference and functional equations (39-XX) 112 Functions of a complex variable (30-XX) 93 Integral transforms, operational calculus (44-XX) 84 Functional analysis (46-XX) 73 Global analysis, analysis on manifolds (58-XX) 59 Sequences, series, summability (40-XX) 49 Combinatorics (05-XX) 48 Number theory (11-XX) 45 Differential geometry (53-XX) 40 Potential theory (31-XX) 38 Astronomy and astrophysics (85-XX) 27 Field theory and polynomials (12-XX) 26 General and overarching topics; collections (00-XX) 23 History and biography (01-XX) 23 Relativity and gravitational theory (83-XX) 17 Topological groups, Lie groups (22-XX) 14 Convex and discrete geometry (52-XX) 13 Measure and integration (28-XX) 12 Several complex variables and analytic spaces (32-XX) 12 General topology (54-XX) 11 Nonassociative rings and algebras (17-XX) 11 Geometry (51-XX) 10 Commutative algebra (13-XX) 10 Algebraic geometry (14-XX) 6 Associative rings and algebras (16-XX) 6 Algebraic topology (55-XX) 5 Mathematical logic and foundations (03-XX) 5 Abstract harmonic analysis (43-XX) 5 Manifolds and cell complexes (57-XX) 4 Group theory and generalizations (20-XX) 4 Mathematics education (97-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX)