## Numerical Algorithms

 Short Title: Numer. Algorithms Publisher: Springer US, New York, NY ISSN: 1017-1398; 1572-9265/e Online: http://link.springer.com/journal/volumesAndIssues/11075 Comments: Indexed cover-to-cover
 Documents Indexed: 3,128 Publications (since 1991) References Indexed: 2,558 Publications with 68,819 References.
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### Latest Issues

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### Authors

 39 Reichel, Lothar 26 Brezinski, Claude 26 Gautschi, Walter 24 Argyros, Ioannis Konstantinos 24 Butcher, John C. 22 Redivo-Zaglia, Michela 20 Meurant, Gérard A. 17 Van Barel, Marc 16 Jackiewicz, Zdzislaw 16 Liu, Fawang 16 Sadok, Hassane 15 Hansen, Per Christian 15 Karageorghis, Andreas 15 Mazure, Marie-Laurence 15 Rodriguez, Giuseppe 13 Bultheel, Adhemar François 13 Cuyt, Annie A. M. 13 Dehghan Takht Fooladi, Mehdi 13 Ma, Changfeng 12 Bai, Zhongzhi 12 Carnicer, Jésus Miguel 12 González-Vera, Pablo 12 Jbilou, Khalide 11 Bialecki, Bernard 11 Dương Việt Thông 11 Enright, Wayne H. 11 Golub, Gene Howard 11 Shehu, Yekini 10 Axelsson, Axel Owe Holger 10 Bini, Dario Andrea 10 Calvetti, Daniela 10 Cordero, Alicia 10 Kou, Jisheng 10 Reich, Simeon 10 Torregrosa Sanchez, Juan Ramón 10 Vong, Seakweng 10 Wu, Yujiang 10 Zhang, Yunong 9 Amat, Sergio P. 9 Andrei, Neculai 9 Anh, Vo V. 9 Chan, Tony Fan-Cheong 9 Graves-Morris, Peter R. 9 Hilout, Saïd 9 Hosseini, Seyed Mohammad 9 Iyiola, Olaniyi Samuel 9 Jiang, Yaolin 9 Sablonnière, Paul 9 van Gorder, Robert Ashton 9 Wang, Xiuhua 9 Wu, Xinyuan 9 Zhang, Guofeng 8 Auzinger, Winfried 8 Dang Van Hieu 8 Driver, Kathy A. 8 Hojjati, Gholamreza 8 Koch, Othmar 8 Lamour, René 8 Liu, Hongwei 8 Marcellán Español, Francisco 8 Micchelli, Charles A. 8 Njåstad, Olav 8 Petković, Miodrag S. 8 Seatzu, Sebastiano 8 Segura, Javier 8 Soleymani, Fazlollah 8 Turner, Ian William 8 Wei, Yimin 8 Wu, Qingbiao 8 Yang, Aili 7 Brugnano, Luigi 7 Corless, Robert Malcolm 7 Costabile, Francesco Aldo 7 D’Ambrosio, Raffaele 7 Daripa, Prabir K. 7 Estévez Schwarz, Diana 7 Floater, Michael S. 7 Gasca, Mariano 7 Gemignani, Luca 7 Hasegawa, Takemitsu 7 Hendriksen, Erik 7 Heyouni, Mohammed 7 Higham, Nicholas J. 7 Huang, Chengming 7 Kanwar, Vinay 7 Kheirfam, Behrouz 7 Levesley, Jeremy 7 Li, Jiyong 7 Li, Wen 7 Li, Yaotang 7 Liang, Zhaozheng 7 Maroni, Pascal 7 Martínez, José Mario 7 Mason, John C. 7 Mitrouli, Marilena 7 Mühlbach, Günter W. 7 Paszkowski, Stefan 7 Peña, Juan Manuel 7 Popa, Constantin Gh. 7 Rashidinia, Jalil ...and 3,906 more Authors
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### Fields

 2,752 Numerical analysis (65-XX) 423 Partial differential equations (35-XX) 383 Approximations and expansions (41-XX) 331 Ordinary differential equations (34-XX) 317 Operations research, mathematical programming (90-XX) 197 Linear and multilinear algebra; matrix theory (15-XX) 170 Operator theory (47-XX) 149 Special functions (33-XX) 123 Harmonic analysis on Euclidean spaces (42-XX) 115 Calculus of variations and optimal control; optimization (49-XX) 98 Fluid mechanics (76-XX) 95 Integral equations (45-XX) 76 Real functions (26-XX) 76 Computer science (68-XX) 71 Functions of a complex variable (30-XX) 62 Probability theory and stochastic processes (60-XX) 55 Information and communication theory, circuits (94-XX) 50 Dynamical systems and ergodic theory (37-XX) 37 Mechanics of deformable solids (74-XX) 37 Biology and other natural sciences (92-XX) 37 Systems theory; control (93-XX) 29 Integral transforms, operational calculus (44-XX) 29 Statistics (62-XX) 28 Optics, electromagnetic theory (78-XX) 25 General and overarching topics; collections (00-XX) 23 Sequences, series, summability (40-XX) 22 Number theory (11-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Field theory and polynomials (12-XX) 15 Combinatorics (05-XX) 14 History and biography (01-XX) 14 Mechanics of particles and systems (70-XX) 13 Quantum theory (81-XX) 12 Classical thermodynamics, heat transfer (80-XX) 12 Geophysics (86-XX) 10 Potential theory (31-XX) 9 Functional analysis (46-XX) 9 Convex and discrete geometry (52-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Difference and functional equations (39-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Measure and integration (28-XX) 5 Algebraic geometry (14-XX) 5 General topology (54-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Commutative algebra (13-XX) 3 Abstract harmonic analysis (43-XX) 3 Differential geometry (53-XX) 3 Astronomy and astrophysics (85-XX) 2 Geometry (51-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

2,435 Publications have been cited 21,520 times in 14,808 Documents Cited by Year
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Detailed error analysis for a fractional Adams method. Zbl 1055.65098
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2004
Algorithms for the split variational inequality problem. Zbl 1239.65041
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Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems. Zbl 0789.65029
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Numerical integration using sparse grids. Zbl 0921.65022
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On choosing “optimal” shape parameters for RBF approximation. Zbl 1127.65009
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Regularization tools version $$4.0$$ for matlab $$7.3$$. Zbl 1128.65029
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2007
On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037
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2011
A modified Newton-Jarratt’s composition. Zbl 1251.65074
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2010
Zero dissipative, explicit Numerov-type methods for second order IVPs with oscillating solutions. Zbl 1031.65080
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2003
On choosing the location of the sources in the MFS. Zbl 1338.65269
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2016
Numerical solution of fractional order differential equations by extrapolation. Zbl 0926.65070
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1997
The numerical solution of fractional differential equations: speed versus accuracy. Zbl 0976.65062
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2001
Nonautonomous systems, cocycle attractors and variable time-step discretization. Zbl 0886.65077
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1997
An efficient fourth order weighted-Newton method for systems of nonlinear equations. Zbl 1283.65051
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2013
A comparison of iterative methods to solve complex valued linear algebraic systems. Zbl 1307.65034
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2014
Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems. Zbl 1259.65088
Bai, Zhong-Zhi; Zhang, Li-Li
2013
An optimized two-step hybrid block method for solving general second order initial-value problems. Zbl 1347.65121
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2016
Two finite difference schemes for time fractional diffusion-wave equation. Zbl 1284.65103
Huang, Jianfei; Tang, Yifa; Vázquez, Luis; Yang, Jiye
2013
Accelerated modulus-based matrix splitting iteration methods for linear complementarity problem. Zbl 1273.65075
Zheng, Ning; Yin, Jun-Feng
2013
Two-step modulus-based matrix splitting iteration method for linear complementarity problems. Zbl 1219.65057
Zhang, Li-Li
2011
Old and new parameter choice rules for discrete ill-posed problems. Zbl 1267.65045
Reichel, Lothar; Rodriguez, Giuseppe
2013
Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation. Zbl 1214.65046
Shen, Shujun; Liu, Fawang; Anh, Vo
2011
A computational study of the weak Galerkin method for second-order elliptic equations. Zbl 1271.65140
Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu
2013
An inertial forward-backward-forward primal-dual splitting algorithm for solving monotone inclusion problems. Zbl 1338.47076
Boţ, Radu Ioan; Csetnek, Ernö Robert
2016
Remarks around 50 lines of Matlab: short finite element implementation. Zbl 0938.65129
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1999
Iterative methods for image deblurring: A Matlab object-oriented approach. Zbl 1048.65039
Nagy, James G.; Palmer, Katrina; Perrone, Lisa
2004
Block Krylov subspace methods for solving large Sylvester equations. Zbl 0992.65040
El Guennouni, A.; Jbilou, K.; Riquet, A. J.
2002
Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings. Zbl 1367.65089
Hieu, Dang Van; Muu, Le Dung; Anh, Pham Ky
2016
Design, analysis, and implementation of a multiprecision polynomial rootfinder. Zbl 1018.65061
Bini, Dario Andrea; Fiorentino, Giuseppe
2000
Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation. Zbl 1177.65194
McLean, William; Mustapha, Kassem
2009
A modified low-rank Smith method for large-scale Lyapunov equations. Zbl 1034.93020
Gugercin, S.; Sorensen, D. C.; Antoulas, A. C.
2003
Nonlinear multiscale decompositions: The approach of A. Harten. Zbl 0952.65015
Aràndiga, Francesc; Donat, Rosa
2000
On explicit two-derivative Runge-Kutta methods. Zbl 1185.65122
Chan, Robert P. K.; Tsai, Angela Y. J.
2010
Galerkin finite element method for nonlinear fractional Schrödinger equations. Zbl 1359.65208
Li, Meng; Huang, Chengming; Wang, Pengde
2017
A new family of modified Ostrowski’s methods with accelerated eighth order convergence. Zbl 1195.65067
Sharma, Janak Raj; Sharma, Rajni
2010
A new Stirling series as continued fraction. Zbl 1213.33007
Mortici, Cristinel
2011
A rational Lanczos algorithm for model reduction. Zbl 0870.65053
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1996
Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation. Zbl 1191.65116
Chen, Chang-Ming; Liu, Fawang; Turner, Ian; Anh, Vo
2010
Weak and strong convergence theorems for variational inequality problems. Zbl 1398.65376
Thong, Duong Viet; Hieu, Dang Van
2018
Stochastic approaches to uncertainty quantification in CFD simulations. Zbl 1130.76062
Mathelin, Lionel; Hussaini, M. Yousuff; Zang, Thomas A.
2005
Lopsided PMHSS iteration method for a class of complex symmetric linear systems. Zbl 1298.65058
Li, Xu; Yang, Ai-Li; Wu, Yu-Jiang
2014
Adaptive greedy techniques for approximate solution of large RBF systems. Zbl 0957.65021
Schaback, Robert; Wendland, Holger
2000
The many proofs of an identity on the norm of oblique projections. Zbl 1102.47002
Szyld, Daniel B.
2006
Explicit general linear methods with inherent Runge–Kutta stability. Zbl 1016.65049
Wright, W. M.
2002
A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation. Zbl 1334.65166
Bhrawy, A. H.; Zaky, M. A.; Van Gorder, R. A.
2016
Thong, Duong Viet; Van Hieu, Dang
2018
P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equations. Zbl 1134.65043
Van Daele, M.; Vanden Berghe, G.
2007
Wu, X.; Silva, B. P. B.; Yuan, J. Y.
2004
A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations. Zbl 1348.65143
Bhrawy, A. H.
2016
A class of nested iteration schemes for linear systems with a coefficient matrix with a dominant positive definite symmetric part. Zbl 1054.65028
Axelsson, Owe; Bai, Zhong-Zhi; Qiu, Shou-Xia
2004
A class of two-stage iterative methods for systems of weakly nonlinear equations. Zbl 0889.65055
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1997
A family of Hermite interpolants by bisection algorithms. Zbl 0754.65011
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1992
On the solution of the symmetric eigenvalue complementarity problem by the spectral projected gradient algorithm. Zbl 1144.65042
Júdice, Joaquim J.; Raydan, Marcos; Rosa, Silvério S.; Santos, Sandra A.
2008
Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation. Zbl 1211.65127
Mustapha, Kassem; McLean, William
2011
Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation. Zbl 1264.65143
Cui, Mingrong
2013
Strong convergence result for solving monotone variational inequalities in Hilbert space. Zbl 07037504
Yang, Jun; Liu, Hongwei
2019
Dai, Yu-Hong; Zhang, Hongchao
2001
Fourth-order compact solution of the nonlinear Klein-Gordon equation. Zbl 1180.65114
Dehghan, Mehdi; Mohebbi, Akbar; Asgari, Zohreh
2009
Solving stable generalized Lyapunov equations with the matrix sign function. Zbl 0940.65035
Benner, Peter; Quintana-Ortí, Enrique S.
1999
New variants of Jarratt’s method with sixth-order convergence. Zbl 1187.65052
Ren, Hongmin; Wu, Qingbiao; Bi, Weihong
2009
Second derivative methods with RK stability. Zbl 1084.65069
Butcher, J. C.; Hojjati, G.
2005
An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate. Zbl 1412.65131
2017
Acceleration of randomized Kaczmarz method via the Johnson-Lindenstrauss lemma. Zbl 1230.65051
Eldar, Yonina C.; Needell, Deanna
2011
Automatic control and adaptive time-stepping. Zbl 1012.65080
Söderlind, Gustaf
2002
Homotopy analysis method for multiple solutions of the fractional Sturm-Liouville problems. Zbl 1197.65096
2010
Analysis of a meshless method for the time fractional diffusion-wave equation. Zbl 1352.65298
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
Model reduction of state space systems via an implicitly restarted Lanczos method. Zbl 0870.65052
Grimme, E. J.; Sorensen, D. C.; Van Dooren, P.
1996
Implicit QR algorithms for palindromic and even eigenvalue problems. Zbl 1181.65054
Kressner, Daniel; Schröder, Christian; Watkins, David S.
2009
High order finite difference method for time-space fractional differential equations with Caputo and Riemann-Liouville derivatives. Zbl 1382.65259
Vong, Seakweng; Lyu, Pin; Chen, Xu; Lei, Siu-Long
2016
Exponential fitted Gauss, Radau and Lobatto methods of low order. Zbl 1148.65059
Martín-Vaquero, J.; Vigo-Aguiar, J.
2008
A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations. Zbl 1358.65043
Rahimkhani, P.; Ordokhani, Y.; Babolian, E.
2017
A novel compact numerical method for solving the two-dimensional non-linear fractional reaction-subdiffusion equation. Zbl 1314.65114
Yu, Bo; Jiang, Xiaoyun; Xu, Huanying
2015
A Padé-based algorithm for overcoming the Gibbs phenomenon. Zbl 0973.65133
Driscoll, Tobin A.; Fornberg, Bengt
2001
AIR tools II: algebraic iterative reconstruction methods, improved implementation. Zbl 1397.65007
Hansen, Per Christian; Jørgensen, Jakob Sauer
2018
IR tools: a MATLAB package of iterative regularization methods and large-scale test problems. Zbl 1415.65003
Gazzola, Silvia; Hansen, Per Christian; Nagy, James G.
2019
A generalized preconditioned HSS method for singular saddle point problems. Zbl 1300.65015
Chao, Zhen; Zhang, Naimin
2014
Preconditioned AHSS iteration method for singular saddle point problems. Zbl 1279.65037
Wang, Shan-Shan; Zhang, Guo-Feng
2013
Numerical computation of polynomial zeros by means of Aberth’s method. Zbl 0869.65034
Bini, Dario Andrea
1996
Collocation methods for fractional integro-differential equations with weakly singular kernels. Zbl 1298.65197
Zhao, Jingjun; Xiao, Jingyu; Ford, Neville J.
2014
Weighted FOM and GMRES for solving nonsymmetric linear systems. Zbl 0926.65036
Essai, Azeddine
1998
BiCGstab($$l$$) and other hybrid Bi-CG methods. Zbl 0810.65027
Sleijpen, G. L. G.; van der Vorst, H. A.; Fokkema, D. R.
1994
$$P$$-stable Obrechkoff methods of arbitrary order for second-order differential equations. Zbl 1123.65070
Van Daele, Marnix; Vanden Berghe, Guido
2007
Method of lines solutions of the parabolic inverse problem with an overspecification at a point. Zbl 1162.65048
Dehghan, Mehdi; Shakeri, Fatemeh
2009
Convergence of an extragradient-type method for variational inequality with applications to optimal control problems. Zbl 1415.47011
Vuong, Phan Tu; Shehu, Yekini
2019
Error estimates for the regularization of least squares problems. Zbl 1166.65331
Brezinski, C.; Rodriguez, G.; Seatzu, S.
2009
Affine arithmetic: concepts and applications. Zbl 1074.65050
De Figueiredo, Luiz Henrique; Stolfi, Jorge
2004
Strong convergence result for monotone variational inequalities. Zbl 06788836
Shehu, Yekini; Iyiola, Olaniyi S.
2017
Efficient spectral-Galerkin algorithms for direct solution for second-order differential equations using Jacobi polynomials. Zbl 1103.65119
Doha, E. H.; Bhrawy, A. H.
2006
A meshless method for numerical solution of the one-dimensional wave equation with an integral condition using radial basis functions. Zbl 1178.65120
Dehghan, Mehdi; Shokri, Ali
2009
On the accurate discretization of a highly nonlinear boundary value problem. Zbl 1405.65143
Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru
2018
Semilocal convergence of a sixth-order Jarratt method in Banach spaces. Zbl 1234.65030
Wang, Xiuhua; Kou, Jisheng; Gu, Chuanqing
2011
An adaptive greedy algorithm for solving large RBF collocation problems. Zbl 1019.65093
Hon, Y. C.; Schaback, R.; Zhou, X.
2003
Immersed interface methods for moving interface problems. Zbl 0886.65096
Li, Zhilin
1997
An iterative algorithm for solving split feasibility problems and fixed point problems in Banach spaces. Zbl 1346.49051
Shehu, Y.; Iyiola, O. S.; Enyi, C. D.
2016
Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices. Zbl 1267.65034
Bai, Zhong-Zhi; Chen, Fang; Wang, Zeng-Qi
2013
An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives. Zbl 1144.65017
Diethelm, Kai
2008
$$H$$-matrix theory vs. eigenvalue localization. Zbl 1107.15012
Cvetković, Ljiljana
2006
A conservative linearized difference scheme for the nonlinear fractional Schrödinger equation. Zbl 1325.65127
Wang, Pengde; Huang, Chengming
2015
Proximal-type algorithms for split minimization problem in P-uniformly convex metric spaces. Zbl 07128071
Izuchukwu, C.; Ugwunnadi, G. C.; Mewomo, O. T.; Khan, A. R.; Abbas, M.
2019
On two-subspace randomized extended Kaczmarz method for solving large linear least-squares problems. Zbl 1480.65091
Wu, Wen-Ting
2022
Step-by-step solving schemes based on scalar auxiliary variable and invariant energy quadratization approaches for gradient flows. Zbl 1481.65195
Liu, Zhengguang; Li, Xiaoli
2022
Finite volume approach for fragmentation equation and its mathematical analysis. Zbl 07456985
Singh, Mehakpreet; Walker, Gavin
2022
Some aspects on the computational implementation of diverse terms arising in mixed virtual element formulations. Zbl 1480.65004
Sequeira, Filánder A.; Guillén-Oviedo, Helen
2022
A proximal bundle-based algorithm for nonsmooth constrained multiobjective optimization problems with inexact data. Zbl 1483.90152
Hoseini Monjezi, N.; Nobakhtian, S.
2022
A posteriori error estimation for quasilinear singularly perturbed problems with integral boundary condition. Zbl 1480.65186
Kumar, Sunil; Kumar, Shashikant; Sumit
2022
Global error estimation for explicit general linear methods. Zbl 07490866
Abdi, Ali; Hojjati, Gholamreza; Izzo, Giuseppe; Jackiewicz, Zdzislaw
2022
Halpern-type iterative process for solving split common fixed point and monotone variational inclusion problem between Banach spaces. Zbl 07331334
Taiwo, Adeolu; Alakoya, Timilehin Opeyemi; Mewomo, Oluwatosin Temitope
2021
Inertial methods for finding minimum-norm solutions of the split variational inequality problem beyond monotonicity. Zbl 07411111
Ogwo, G. N.; Izuchukwu, C.; Mewomo, O. T.
2021
New algorithms and convergence theorems for solving variational inequalities with non-Lipschitz mappings. Zbl 1465.65054
Reich, Simeon; Thong, Duong Viet; Dong, Qiao-Li; Li, Xiao-Huan; Dung, Vu Tien
2021
Fixing and extending some recent results on the ADMM algorithm. Zbl 07307390
Banert, Sebastian; Boţ, Radu Ioan; Csetnek, Ernö Robert
2021
Highly efficient schemes for time-fractional Allen-Cahn equation using extended SAV approach. Zbl 1481.65237
Hou, Dianming; Zhu, Hongyi; Xu, Chuanju
2021
Superconvergence analysis of two-grid methods for bacteria equations. Zbl 1456.65122
Shi, Dongyang; Li, Chaoqun
2021
On block Gaussian sketching for the Kaczmarz method. Zbl 1456.65023
Rebrova, Elizaveta; Needell, Deanna
2021
On the circumcentered-reflection method for the convex feasibility problem. Zbl 1460.49023
Behling, Roger; Bello-Cruz, Yunier; Santos, Luiz-Rafael
2021
A two-step modulus-based matrix splitting iteration method for horizontal linear complementarity problems. Zbl 1468.65077
Zheng, Hua; Vong, Seakweng
2021
Local and parallel finite element methods for the coupled Stokes/Darcy model. Zbl 07374231
Du, Guangzhi; Zuo, Liyun
2021
Numerical solution of a class of third-kind Volterra integral equations using Jacobi wavelets. Zbl 1459.65243
Nemati, S.; Lima, Pedro M.; Torres, Delfim F. M.
2021
Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs. Zbl 1459.65106
Wu, Xinyuan; Wang, Bin; Mei, Lijie
2021
On the numerical structure preservation of nonlinear damped stochastic oscillators. Zbl 1459.65008
D&rsquo;Ambrosio, Raffaele; Scalone, Carmela
2021
On the linear convergence of circumcentered isometry methods. Zbl 07340125
Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu
2021
Inertial relaxed CQ algorithms for solving a split feasibility problem in Hilbert spaces. Zbl 1471.65044
Sahu, D. R.; Cho, Y. J.; Dong, Q. L.; Kashyap, M. R.; Li, X. H.
2021
Linearized Krylov subspace Bregman iteration with nonnegativity constraint. Zbl 1470.65049
Buccini, Alessandro; Pasha, Mirjeta; Reichel, Lothar
2021
A nonnegativity preserving algorithm for multilinear systems with nonsingular $$\mathcal{M}$$-tensors. Zbl 1473.65053
Bai, Xueli; He, Hongjin; Ling, Chen; Zhou, Guanglu
2021
Generalized cross validation for $$\ell^p$$-$$\ell^q$$ minimization. Zbl 1482.65063
Buccini, Alessandro; Reichel, Lothar
2021
Subgradient projection methods extended to monotone bilevel equilibrium problems in Hilbert spaces. Zbl 1456.65045
Anh, Pham Ngoc; Tu, Ho Phi
2021
A new strong convergence for solving split variational inclusion problems. Zbl 1458.65061
Thong, Duong Viet; Dung, Vu Tien; Cho, Yeol Je
2021
Efficient, non-iterative, and decoupled numerical scheme for a new modified binary phase-field surfactant system. Zbl 1459.65162
Xu, Chen; Chen, Chuanjun; Yang, Xiaofeng
2021
Jacobi spectral approximation for boundary value problems of nonlinear fractional pantograph differential equations. Zbl 1458.65072
Yang, Changqing; Hou, Jianhua
2021
Proximal point algorithms based on $$S$$-iterative technique for nearly asymptotically quasi-nonexpansive mappings and applications. Zbl 07331342
Sahu, Daya Ram; Kumar, Ajeet; Kang, Shin Min
2021
Continuous and discrete zeroing dynamics models using JMP function array and design formula for solving time-varying Sylvester-transpose matrix inequality. Zbl 1473.65071
Zhang, Yunong; Liu, Xiao; Ling, Yihong; Yang, Min; Huang, Huanchang
2021
High-dimensional sparse Fourier algorithms. Zbl 1470.65226
Choi, Bosu; Christlieb, Andrew; Wang, Yang
2021
Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers. Zbl 1468.65159
Antoine, Xavier; Lorin, Emmanuel; Zhang, Y.
2021
A linearized high-order Galerkin finite element approach for two-dimensional nonlinear time fractional Klein-Gordon equations. Zbl 1473.65221
Zhang, Guoyu; Huang, Chengming; Fei, Mingfa; Wang, Nan
2021
A coarsening algorithm on adaptive red-green-blue refined meshes. Zbl 1476.65324
Funken, Stefan A.; Schmidt, Anja
2021
Stability and convergence analysis of stabilized finite element method for the Kelvin-Voigt viscoelastic fluid flow model. Zbl 1476.65262
Zhang, Tong; Duan, Mengmeng
2021
Wavelet regularization strategy for the fractional inverse diffusion problem. Zbl 07374235
Karimi, Milad; Zallani, Fatemeh; Sayevand, Khosro
2021
An algorithm for best rational approximation based on barycentric rational interpolation. Zbl 1473.65015
Hofreither, Clemens
2021
A hybrid three-term conjugate gradient projection method for constrained nonlinear monotone equations with applications. Zbl 07384506
Yin, Jianghua; Jian, Jinbao; Jiang, Xianzhen; Liu, Meixing; Wang, Lingzhi
2021
Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model. Zbl 1483.65161
Wen, Cao; Liu, Yang; Yin, Baoli; Li, Hong; Wang, Jinfeng
2021
Inertial projection-type methods for solving pseudomonotone variational inequality problems in Hilbert space. Zbl 07401543
Reich, Simeon; Thong, Duong Viet; Cholamjiak, Prasit; Long, Luong Van
2021
A novel operational vector for solving the general form of distributed order fractional differential equations in the time domain based on the second kind Chebyshev wavelets. Zbl 1482.65129
Rashidinia, Jalil; Eftekhari, Tahereh; Maleknejad, Khosrow
2021
A class of new Magnus-type methods for semi-linear non-commutative Itô stochastic differential equations. Zbl 1482.65013
Yang, Guoguo; Burrage, Kevin; Komori, Yoshio; Burrage, Pamela; Ding, Xiaohua
2021
Accelerated dynamical approaches for finding the unique positive solution of $$\mathcal{KS}$$-tensor equations. Zbl 1482.65060
Wang, Xuezhong; Mo, Changxin; Che, Maolin; Wei, Yimin
2021
Block GPBi-CG method for solving nonsymmetric linear systems with multiple right-hand sides and its convergence analysis. Zbl 1482.65055
Taherian, A.; Toutounian, F.
2021
Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition. Zbl 07431184
Gracia, J. L.; O&rsquo;Riordan, E.
2021
The studies of the linearly modified energy-preserving finite difference methods applied to solve two-dimensional nonlinear coupled wave equations. Zbl 07431185
Deng, Dingwen; Wu, Qiang
2021
Local and parallel finite element methods based on two-grid discretizations for the nonstationary Navier-Stokes equations. Zbl 07431186
Li, Qingtao; Du, Guangzhi
2021
Projection extragradient algorithms for solving nonmonotone and non-Lipschitzian equilibrium problems in Hilbert spaces. Zbl 1456.65036
Deng, Lanmei; Hu, Rong; Fang, Yaping
2021
Convergence analysis on matrix splitting iteration algorithm for semidefinite linear complementarity problems. Zbl 1456.65048
Ke, Yi-Fen
2021
Preconditioners and their analyses for edge element saddle-point systems arising from time-harmonic Maxwell’s equations. Zbl 1456.65018
Liang, Ying; Xiang, Hua; Zhang, Shiyang; Zou, Jun
2021
A Riemannian derivative-free Polak-Ribiére-Polyak method for tangent vector field. Zbl 1456.65044
Yao, Teng-Teng; Zhao, Zhi; Bai, Zheng-Jian; Jin, Xiao-Qing
2021
Local error estimation and step size control in adaptive linear multistep methods. Zbl 1458.65080
Arévalo, Carmen; Söderlind, Gustaf; Hadjimichael, Yiannis; Fekete, Imre
2021
Acceleration of automatic differentiation of solutions to parabolic partial differential equations: a higher order discretization. Zbl 1458.65132
2021
On the eigenvalues of spectral gaps of matrix-valued Schrödinger operators. Zbl 1459.65045
Aljawi, Salma; Marletta, Marco
2021
A truncated Clenshaw-Curtis formula approximates integrals over a semi-infinite interval. Zbl 1460.65026
Sugiura, Hiroshi; Hasegawa, Takemitsu
2021
A fast temporal second-order compact ADI difference scheme for the 2D multi-term fractional wave equation. Zbl 1461.65231
Sun, Hong; Sun, Zhi-zhong
2021
Fast computation of binomial coefficients. Zbl 1460.65019
Araujo, Leonardo C.; Sansão, João P. H.; Vale-Cardoso, Adriano S.
2021
Block collocation boundary value solutions of the first-kind Volterra integral equations. Zbl 1459.65242
Liu, Ling; Ma, Junjie
2021
Newton’s method with fractional derivatives and various iteration processes via visual analysis. Zbl 1461.65087
Gdawiec, Krzysztof; Kotarski, Wiesław; Lisowska, Agnieszka
2021
A second-order fast compact scheme with unequal time-steps for subdiffusion problems. Zbl 1466.65072
Li, Xin; Liao, Hong-lin; Zhang, Luming
2021
Convergence and dynamics of improved Chebyshev-Secant-type methods for non differentiable operators. Zbl 07307379
Kumar, Abhimanyua; Gupta, D. K.; Martínez, Eulalia; Hueso, José L.
2021
Numerical correction of finite difference solution for two-dimensional space-fractional diffusion equations with boundary singularity. Zbl 1459.65142
Hao, Zhaopeng; Cao, Wanrong; Li, Shengyue
2021
An optimal 13-point finite difference scheme for a 2D Helmholtz equation with a perfectly matched layer boundary condition. Zbl 1458.65133
Dastour, Hatef; Liao, Wenyuan
2021
Explicit pseudo two-step exponential Runge-Kutta methods for the numerical integration of first-order differential equations. Zbl 1458.65083
Fang, Yonglei; Hu, Xianfa; Li, Jiyong
2021
Proving endpoint dependence in solving interval parametric linear systems. Zbl 1465.65044
Popova, Evgenija D.
2021
A novel alternating-direction implicit spectral Galerkin method for a multi-term time-space fractional diffusion equation in three dimensions. Zbl 1471.65166
Wang, Ying; Liu, Fawang; Mei, Liquan; Anh, Vo V.
2021
A two-grid method for discontinuous Galerkin approximations to nonlinear Sobolev equations. Zbl 1470.65162
Yang, Jiming; Zhou, Jing
2021
Minimum residual modified HSS iteration method for a class of complex symmetric linear systems. Zbl 1470.65057
Zhang, Wei-Hong; Yang, Ai-Li; Wu, Yu-Jiang
2021
A filter method with a priori and a posteriori parameter choice for the regularization of Cauchy problems for biharmonic equations. Zbl 1460.31023
Tran Nhat Luan; Tran Thi Khieu; Tra Quoc Khanh
2021
A meshfree method with a non-overlapping domain decomposition method based on TPS for solving the forward-backward heat equation in two-dimension. Zbl 1468.65213
Shanazari, Kamal; Banei, Siamak
2021
Numerical treatment of the generalized Love integral equation. Zbl 07331350
Fermo, Luisa; Russo, Maria Grazia; Serafini, Giada
2021
Solving interval linear least squares problems by PPS-methods. Zbl 1468.65035
2021
Alternatives to the EM algorithm for ML estimation of location, scatter matrix, and degree of freedom of the Student $$t$$ distribution. Zbl 1469.62265
Hasannasab, Marzieh; Hertrich, Johannes; Laus, Friederike; Steidl, Gabriele
2021
Generalizing the trapezoidal rule in the complex plane. Zbl 07340122
Fornberg, Bengt
2021
The Bakhvalov mesh: a complete finite-difference analysis of two-dimensional singularly perturbed convection-diffusion problems. Zbl 1471.65173
Nhan, Thái Anh; Vulanović, Relja
2021
Convergence of discrete approximation for differential linear stochastic complementarity systems. Zbl 1468.65009
Luo, Jianfeng; Wang, Xiaozhou; Zhao, Yi
2021
Halpern projection methods for solving pseudomonotone multivalued variational inequalities in Hilbert spaces. Zbl 07340127
Anh, Pham Ngoc; Thang, T. V.; Thach, H. T. C.
2021
A fast linearized numerical method for nonlinear time-fractional diffusion equations. Zbl 1468.65100
Lyu, Pin; Vong, Seakweng
2021
Crank-Nicolson-weighted-shifted-Grünwald-difference schemes for space Riesz variable-order fractional diffusion equations. Zbl 1473.65112
Lin, Fu-Rong; Wang, Qiu-Ya; Jin, Xiao-Qing
2021
Fast and improved scaled HSS preconditioner for steady-state space-fractional diffusion equations. Zbl 07352575
Chen, Fang; Li, Tian-Yi
2021
Modulus-based matrix splitting methods for a class of horizontal nonlinear complementarity problems. Zbl 1465.65052
2021
A generalized worst-case complexity analysis for non-monotone line searches. Zbl 07352580
Grapiglia, Geovani N.; Sachs, Ekkehard W.
2021
Accurate solutions of structured generalized Kronecker product linear systems. Zbl 1469.65069
Yang, Zhao; Huang, Rong; Zhu, Wei; Liu, Jianzhou
2021
A plane wave least squares method for the Maxwell equations in anisotropic media. Zbl 1465.65152
Yuan, Long
2021
Algorithm for numerical solutions to the kinetic equation of a spatial population dynamics model with coalescence and repulsive jumps. Zbl 1475.65075
Omelyan, Igor; Kozitsky, Yuri; Pilorz, Krzysztof
2021
Convergence and stability of extended BBVMs for nonlinear delay-differential-algebraic equations with piecewise continuous arguments. Zbl 1469.65114
Zhang, Chengjian; Yan, Xiaoqiang
2021
Two adaptive scaled gradient projection methods for Stiefel manifold constrained optimization. Zbl 1470.90133
Oviedo, Harry; Dalmau, Oscar; Lara, Hugo
2021
Simple numerical methods of second- and third-order convergence for solving a fully third-order nonlinear boundary value problem. Zbl 1483.34026
Dang, Quang A; Dang, Quang Long
2021
New subspace minimization conjugate gradient methods based on regularization model for unconstrained optimization. Zbl 1472.90133
Zhao, Ting; Liu, Hongwei; Liu, Zexian
2021
On preconditioning and solving an extended class of interval parametric linear systems. Zbl 1473.65030
2021
A toolbox of equation-free functions in Matlab/Octave for efficient system level simulation. Zbl 1472.65175
Maclean, John; Bunder, J. E.; Roberts, A. J.
2021
$$\alpha$$-robust error analysis of a mixed finite element method for a time-fractional biharmonic equation. Zbl 1481.65184
Huang, Chaobao; Stynes, Martin
2021
Galerkin finite element method for nonlinear fractional differential equations. Zbl 07384497
2021
Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations. Zbl 07384500
Du, Rui-lian; Sun, Zhi-zhong
2021
Derivative-free superiorization: principle and algorithm. Zbl 07384501
Censor, Yair; Garduño, Edgar; Helou, Elias S.; Herman, Gabor T.
2021
Two second-order and linear numerical schemes for the multi-dimensional nonlinear time-fractional Schrödinger equation. Zbl 07384507
Wang, Ying; Wang, Gang; Bu, Linlin; Mei, Liquan
2021
A space-time finite element method for solving linear Riesz space fractional partial differential equations. Zbl 1480.65262
Lai, Junjiang; Liu, Fawang; Anh, Vo V.; Liu, Qingxia
2021
Centrality measures for node-weighted networks via line graphs and the matrix exponential. Zbl 07401535
De la Cruz Cabrera, Omar; Matar, Mona; Reichel, Lothar
2021
Filtered interpolation for solving Prandtl’s integro-differential equations. Zbl 07401538
De Bonis, M. C.; Occorsio, D.; Themistoclakis, W.
2021
...and 1400 more Documents
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### Cited by 14,736 Authors

 139 Reichel, Lothar 125 Simos, Theodore E. 118 Argyros, Ioannis Konstantinos 117 Dehghan Takht Fooladi, Mehdi 73 Cordero, Alicia 73 Torregrosa Sanchez, Juan Ramón 68 Liu, Fawang 64 Ma, Changfeng 63 Mewomo, Oluwatosin Temitope 60 Shehu, Yekini 59 Dang Van Hieu 57 Zhang, Guofeng 56 George, Santhosh 56 Kumam, Poom 54 Jackiewicz, Zdzislaw 49 Jbilou, Khalide 48 Bhrawy, Ali Hassan 48 Brezinski, Claude 47 Dương Việt Thông 45 Benner, Peter 42 Amat, Sergio P. 42 Bultheel, Adhemar François 41 Peña, Juan Manuel 41 Sadok, Hassane 41 Soleymani, Fazlollah 40 Behl, Ramandeep 40 Cho, Yeol Je 40 Cholamjiak, Prasit 40 D’Ambrosio, Raffaele 40 Karageorghis, Andreas 40 Wei, Yimin 39 Huang, Ting-Zhu 39 Marcellán Español, Francisco 39 Yao, Jen-Chih 38 Hajarian, Masoud 38 Turner, Ian William 37 Băleanu, Dumitru I. 37 Sharma, Janak Raj 37 Van Barel, Marc 37 Vong, Seakweng 36 Axelsson, Axel Owe Holger 36 Dong, Qiaoli 36 Khojasteh Salkuyeh, Davod 36 Ramos, Higinio 35 Jolaoso, Lateef Olakunle 34 Paternoster, Beatrice 33 Abbaszadeh, Mostafa 33 Chen, Ching-Shyang 33 Lu, Dawei 33 Mazure, Marie-Laurence 32 Abdi, Ali 32 Izuchukwu, Chinedu 32 Liang, Zhaozheng 31 Kheirfam, Behrouz 31 Magreñán, Ángel Alberto 30 Chang, Shih-Sen 30 Kumar, Sunil 30 Redivo-Zaglia, Michela 30 Xu, Da 29 Doha, Eid H. 29 Gibali, Aviv 29 Martínez, Eulalia 29 Reich, Simeon 29 Wu, Yujiang 28 Bai, Zhongzhi 28 González-Vera, Pablo 28 Li, Chaoqian 28 Sun, Zhizhong 28 Wu, Xinyuan 28 Zaky, Mahmoud A. 27 Abbasbandy, Saeid 27 Alolyan, Ibraheem 27 Huang, Chengming 27 Rodriguez, Giuseppe 27 Weinmüller, Ewa B. 27 Wu, Shiliang 26 Gu, Xian-Ming 26 Hojjati, Gholamreza 26 Li, Changpin 26 Li, Hong 26 Liu, Yang 26 Petković, Miodrag S. 26 Suantai, Suthep 25 Abd-Elhameed, Waleed Mohamed 25 Bini, Dario Andrea 25 Gómez-Aguilar, José Francisco 25 Iyiola, Olaniyi Samuel 24 Carnicer, Jésus Miguel 24 Gu, Chuanqing 24 Kanwar, Vinay 24 Milovanović, Gradimir V. 24 Stanimirović, Predrag S. 24 Vandebril, Raf 24 Zheng, Hua 23 Chen, Ke 23 Fang, Yonglei 23 Jiang, Xiaoyun 23 Ordokhani, Yadollah 23 Pan, Kejia 23 Trillo, Juan Carlos ...and 14,636 more Authors
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 1,192 Journal of Computational and Applied Mathematics 1,183 Numerical Algorithms 826 Applied Mathematics and Computation 593 Applied Numerical Mathematics 481 Computers & Mathematics with Applications 323 Journal of Computational Physics 312 Linear Algebra and its Applications 280 International Journal of Computer Mathematics 279 Computational and Applied Mathematics 258 Journal of Scientific Computing 210 Engineering Analysis with Boundary Elements 199 BIT 185 Journal of Mathematical Chemistry 179 SIAM Journal on Scientific Computing 150 Computer Methods in Applied Mechanics and Engineering 149 Journal of Inequalities and Applications 147 Numerische Mathematik 145 Applied Mathematics Letters 139 Advances in Computational Mathematics 136 Mathematics of Computation 135 Mathematical Problems in Engineering 134 Optimization 132 Mathematics and Computers in Simulation 128 Calcolo 122 Advances in Difference Equations 119 Abstract and Applied Analysis 107 Applied Mathematical Modelling 105 Computational Optimization and Applications 100 Journal of Approximation Theory 97 Journal of Mathematical Analysis and Applications 97 SIAM Journal on Matrix Analysis and Applications 94 Journal of Optimization Theory and Applications 94 Numerical Linear Algebra with Applications 92 Numerical Functional Analysis and Optimization 87 International Journal of Applied and Computational Mathematics 83 Computer Aided Geometric Design 78 Journal of Applied Mathematics and Computing 73 Communications in Nonlinear Science and Numerical Simulation 72 Inverse Problems in Science and Engineering 69 SIAM Journal on Numerical Analysis 68 Fixed Point Theory and Applications 67 Optimization Letters 65 Chaos, Solitons and Fractals 63 Journal of Global Optimization 62 Journal of Applied Mathematics 58 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 57 Numerical Methods for Partial Differential Equations 57 Mediterranean Journal of Mathematics 55 Inverse Problems 54 Journal of Complexity 53 Nonlinear Dynamics 52 Optimization Methods & Software 52 Thai Journal of Mathematics 52 East Asian Journal on Applied Mathematics 51 Advances in Applied Mathematics and Mechanics 48 Mathematical Methods in the Applied Sciences 48 S$$\vec{\text{e}}$$MA Journal 47 Journal of Fixed Point Theory and Applications 45 Applicable Analysis 44 Journal of Nonlinear Science and Applications 43 International Journal for Numerical Methods in Engineering 43 Results in Mathematics 43 Journal of Symbolic Computation 42 Linear and Multilinear Algebra 42 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 41 Japan Journal of Industrial and Applied Mathematics 41 Journal of Function Spaces 39 Computers and Fluids 38 ETNA. Electronic Transactions on Numerical Analysis 38 Fractional Calculus & Applied Analysis 37 Applied and Computational Harmonic Analysis 36 Computing 36 Mathematical Sciences 35 Journal of Industrial and Management Optimization 35 Afrika Matematika 33 SIAM Journal on Optimization 33 International Journal of Computational Methods 33 Journal of Applied Analysis and Computation 32 Mathematical Programming. Series A. Series B 32 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 31 Journal of the Franklin Institute 31 Acta Applicandae Mathematicae 31 Constructive Approximation 30 Automatica 30 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 30 Mathematical Modelling and Analysis 30 AIMS Mathematics 29 Computer Physics Communications 29 Boundary Value Problems 29 Communications in Computational Physics 28 Mathematical and Computer Modelling 28 Journal of Difference Equations and Applications 28 Discrete and Continuous Dynamical Systems. Series B 27 Integral Transforms and Special Functions 27 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 27 Computational Methods for Differential Equations 26 Computational Methods in Applied Mathematics 25 Vietnam Journal of Mathematics 25 SIAM Journal on Imaging Sciences 25 Journal of Mathematics ...and 606 more Journals
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### Cited in 60 Fields

 10,699 Numerical analysis (65-XX) 2,471 Partial differential equations (35-XX) 1,602 Operations research, mathematical programming (90-XX) 1,347 Ordinary differential equations (34-XX) 1,345 Operator theory (47-XX) 1,232 Approximations and expansions (41-XX) 1,106 Linear and multilinear algebra; matrix theory (15-XX) 817 Fluid mechanics (76-XX) 734 Calculus of variations and optimal control; optimization (49-XX) 629 Real functions (26-XX) 541 Special functions (33-XX) 509 Integral equations (45-XX) 487 Harmonic analysis on Euclidean spaces (42-XX) 456 Computer science (68-XX) 413 Mechanics of deformable solids (74-XX) 401 Systems theory; control (93-XX) 366 Probability theory and stochastic processes (60-XX) 347 Dynamical systems and ergodic theory (37-XX) 334 Information and communication theory, circuits (94-XX) 323 Biology and other natural sciences (92-XX) 218 Functions of a complex variable (30-XX) 195 Statistics (62-XX) 159 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 156 Optics, electromagnetic theory (78-XX) 152 Quantum theory (81-XX) 135 Number theory (11-XX) 126 Classical thermodynamics, heat transfer (80-XX) 120 Functional analysis (46-XX) 101 Difference and functional equations (39-XX) 95 Statistical mechanics, structure of matter (82-XX) 94 Mechanics of particles and systems (70-XX) 93 Geophysics (86-XX) 91 Integral transforms, operational calculus (44-XX) 71 General topology (54-XX) 68 Field theory and polynomials (12-XX) 66 Sequences, series, summability (40-XX) 65 Combinatorics (05-XX) 49 Global analysis, analysis on manifolds (58-XX) 41 Commutative algebra (13-XX) 41 Algebraic geometry (14-XX) 37 Potential theory (31-XX) 37 Convex and discrete geometry (52-XX) 36 Measure and integration (28-XX) 29 History and biography (01-XX) 24 Differential geometry (53-XX) 13 General and overarching topics; collections (00-XX) 13 Mathematical logic and foundations (03-XX) 11 Group theory and generalizations (20-XX) 11 Geometry (51-XX) 10 Astronomy and astrophysics (85-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Relativity and gravitational theory (83-XX) 7 Abstract harmonic analysis (43-XX) 7 Mathematics education (97-XX) 5 Nonassociative rings and algebras (17-XX) 4 Associative rings and algebras (16-XX) 4 Topological groups, Lie groups (22-XX) 3 Manifolds and cell complexes (57-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Algebraic topology (55-XX)