# zbMATH — the first resource for mathematics

## 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: 2,964 Publications (since 1991) References Indexed: 2,396 Publications with 62,994 References.
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#### Latest Issues

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#### Authors

 36 Reichel, Lothar 25 Brezinski, Claude 24 Argyros, Ioannis Konstantinos 24 Butcher, John C. 24 Gautschi, Walter 22 Redivo-Zaglia, Michela 21 Meurant, Gérard A. 17 Sadok, Hassane 16 Liu, Fawang 16 Van Barel, Marc 15 Hansen, Per Christian 15 Rodriguez, Giuseppe 14 Jackiewicz, Zdzislaw 14 Karageorghis, Andreas 14 Mazure, Marie-Laurence 13 Bultheel, Adhemar François 13 Cuyt, Annie A. M. 13 Ma, Changfeng 12 Bai, Zhongzhi 12 Carnicer, Jésus Miguel 12 Dehghan Takht Fooladi, Mehdi 12 González-Vera, Pablo 12 Jbilou, Khalide 11 Bialecki, Bernard 11 Enright, Wayne H. 11 Golub, Gene Howard 11 Shehu, Yekini 10 Bini, Dario Andrea 10 Calvetti, Daniela 10 Cordero, Alicia 10 Kou, Jisheng 10 Torregrosa Sanchez, Juan Ramón 10 Vong, Seakweng 9 Amat, Sergio P. 9 Anh, Vo V. 9 Axelsson, Axel Owe Holger 9 Chan, Tony Fan-Cheong 9 Dương Việt Thông 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 Wu, Yujiang 9 Zhang, Guofeng 9 Zhang, Yunong 8 Andrei, Neculai 8 Auzinger, Winfried 8 Driver, Kathy A. 8 Koch, Othmar 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 Wu, Qingbiao 7 Brugnano, Luigi 7 Corless, Robert Malcolm 7 Costabile, Francesco Aldo 7 D’Ambrosio, Raffaele 7 Dang Van Hieu 7 Daripa, Prabir K. 7 Floater, Michael S. 7 Gasca, Mariano 7 Gemignani, Luca 7 Hendriksen, Erik 7 Heyouni, Mohammed 7 Higham, Nicholas J. 7 Kanwar, Vinay 7 Kheirfam, Behrouz 7 Lamour, René 7 Levesley, Jeremy 7 Li, Jiyong 7 Li, Wen 7 Li, Yaotang 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 Sbibih, Driss 7 Vianello, Marco 7 Wei, Yimin 7 Woźny, Paweł 7 Yang, Aili 6 Abbasbandy, Saeid 6 Benner, Peter 6 Berrut, Jean-Paul 6 Chen, Ke ...and 3,680 more Authors
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#### Fields

 2,596 Numerical analysis (65-XX) 398 Partial differential equations (35-XX) 371 Approximations and expansions (41-XX) 322 Ordinary differential equations (34-XX) 287 Operations research, mathematical programming (90-XX) 182 Linear and multilinear algebra; matrix theory (15-XX) 153 Operator theory (47-XX) 145 Special functions (33-XX) 120 Harmonic analysis on Euclidean spaces (42-XX) 103 Calculus of variations and optimal control; optimization (49-XX) 91 Integral equations (45-XX) 90 Fluid mechanics (76-XX) 74 Computer science (68-XX) 69 Functions of a complex variable (30-XX) 66 Real functions (26-XX) 53 Probability theory and stochastic processes (60-XX) 52 Information and communication theory, circuits (94-XX) 48 Dynamical systems and ergodic theory (37-XX) 36 Systems theory; control (93-XX) 35 Biology and other natural sciences (92-XX) 34 Mechanics of deformable solids (74-XX) 29 Integral transforms, operational calculus (44-XX) 29 Statistics (62-XX) 27 General and overarching topics; collections (00-XX) 26 Optics, electromagnetic theory (78-XX) 23 Sequences, series, summability (40-XX) 22 Number theory (11-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Field theory and polynomials (12-XX) 14 Mechanics of particles and systems (70-XX) 13 History and biography (01-XX) 13 Combinatorics (05-XX) 11 Classical thermodynamics, heat transfer (80-XX) 11 Quantum theory (81-XX) 10 Geophysics (86-XX) 9 Functional analysis (46-XX) 9 Convex and discrete geometry (52-XX) 8 Potential theory (31-XX) 8 Difference and functional equations (39-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Algebraic geometry (14-XX) 6 Measure and integration (28-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 General topology (54-XX) 4 Several complex variables and analytic spaces (32-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 Mathematical logic and foundations (03-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)

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2,273 Publications have been cited 18,640 times in 12,998 Documents Cited by Year
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Detailed error analysis for a fractional Adams method. Zbl 1055.65098
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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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1994
Algorithms for the split variational inequality problem. Zbl 1239.65041
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Numerical integration using sparse grids. Zbl 0921.65022
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1998
On choosing “optimal” shape parameters for RBF approximation. Zbl 1127.65009
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2007
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
Zero dissipative, explicit Numerov-type methods for second order IVPs with oscillating solutions. Zbl 1031.65080
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2003
A modified Newton-Jarratt’s composition. Zbl 1251.65074
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2010
Nonautonomous systems, cocycle attractors and variable time-step discretization. Zbl 0886.65077
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1997
The numerical solution of fractional differential equations: speed versus accuracy. Zbl 0976.65062
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2001
An efficient fourth order weighted-Newton method for systems of nonlinear equations. Zbl 1283.65051
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2013
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
An optimized two-step hybrid block method for solving general second order initial-value problems. Zbl 1347.65121
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2016
Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems. Zbl 1259.65088
Bai, Zhong-Zhi; Zhang, Li-Li
2013
Two finite difference schemes for time fractional diffusion-wave equation. Zbl 1284.65103
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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
Two-step modulus-based matrix splitting iteration method for linear complementarity problems. Zbl 1219.65057
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2011
Accelerated modulus-based matrix splitting iteration methods for linear complementarity problem. Zbl 1273.65075
Zheng, Ning; Yin, Jun-Feng
2013
Block Krylov subspace methods for solving large Sylvester equations. Zbl 0992.65040
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2002
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
Remarks around 50 lines of Matlab: short finite element implementation. Zbl 0938.65129
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1999
Old and new parameter choice rules for discrete ill-posed problems. Zbl 1267.65045
Reichel, Lothar; Rodriguez, Giuseppe
2013
Design, analysis, and implementation of a multiprecision polynomial rootfinder. Zbl 1018.65061
Bini, Dario Andrea; Fiorentino, Giuseppe
2000
Iterative methods for image deblurring: A Matlab object-oriented approach. Zbl 1048.65039
Nagy, James G.; Palmer, Katrina; Perrone, Lisa
2004
A new family of modified Ostrowski’s methods with accelerated eighth order convergence. Zbl 1195.65067
Sharma, Janak Raj; Sharma, Rajni
2010
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
Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings. Zbl 1367.65089
Hieu, Dang Van; Muu, Le Dung; Anh, Pham Ky
2016
A modified low-rank Smith method for large-scale Lyapunov equations. Zbl 1034.93020
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2003
A new Stirling series as continued fraction. Zbl 1213.33007
Mortici, Cristinel
2011
Nonlinear multiscale decompositions: The approach of A. Harten. Zbl 0952.65015
Aràndiga, Francesc; Donat, Rosa
2000
An inertial forward-backward-forward primal-dual splitting algorithm for solving monotone inclusion problems. Zbl 1338.47076
Boţ, Radu Ioan; Csetnek, Ernö Robert
2016
Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation. Zbl 1177.65194
McLean, William; Mustapha, Kassem
2009
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
On explicit two-derivative Runge-Kutta methods. Zbl 1185.65122
Chan, Robert P. K.; Tsai, Angela Y. J.
2010
Adaptive greedy techniques for approximate solution of large RBF systems. Zbl 0957.65021
Schaback, Robert; Wendland, Holger
2000
Explicit general linear methods with inherent Runge–Kutta stability. Zbl 1016.65049
Wright, W. M.
2002
The many proofs of an identity on the norm of oblique projections. Zbl 1102.47002
Szyld, Daniel B.
2006
Wu, X.; Silva, B. P. B.; Yuan, J. Y.
2004
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
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
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
Galerkin finite element method for nonlinear fractional Schrödinger equations. Zbl 1359.65208
Li, Meng; Huang, Chengming; Wang, Pengde
2017
Dai, Yu-Hong; Zhang, Hongchao
2001
A family of Hermite interpolants by bisection algorithms. Zbl 0754.65011
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1992
A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation. Zbl 1334.65166
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2016
A class of two-stage iterative methods for systems of weakly nonlinear equations. Zbl 0889.65055
Bai, Zhongzhi
1997
Model reduction of state space systems via an implicitly restarted Lanczos method. Zbl 0870.65052
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1996
Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation. Zbl 1264.65143
Cui, Mingrong
2013
P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equations. Zbl 1134.65043
Van Daele, M.; Vanden Berghe, G.
2007
Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation. Zbl 1211.65127
Mustapha, Kassem; McLean, William
2011
Fourth-order compact solution of the nonlinear Klein-Gordon equation. Zbl 1180.65114
Dehghan, Mehdi; Mohebbi, Akbar; Asgari, Zohreh
2009
A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations. Zbl 1348.65143
Bhrawy, A. H.
2016
Implicit QR algorithms for palindromic and even eigenvalue problems. Zbl 1181.65054
Kressner, Daniel; Schröder, Christian; Watkins, David S.
2009
Solving stable generalized Lyapunov equations with the matrix sign function. Zbl 0940.65035
Benner, Peter; Quintana-Ortí, Enrique S.
1999
Automatic control and adaptive time-stepping. Zbl 1012.65080
Söderlind, Gustaf
2002
New variants of Jarratt’s method with sixth-order convergence. Zbl 1187.65052
Ren, Hongmin; Wu, Qingbiao; Bi, Weihong
2009
A Padé-based algorithm for overcoming the Gibbs phenomenon. Zbl 0973.65133
Driscoll, Tobin A.; Fornberg, Bengt
2001
Method of lines solutions of the parabolic inverse problem with an overspecification at a point. Zbl 1162.65048
Dehghan, Mehdi; Shakeri, Fatemeh
2009
Acceleration of randomized Kaczmarz method via the Johnson-Lindenstrauss lemma. Zbl 1230.65051
Eldar, Yonina C.; Needell, Deanna
2011
Preconditioned AHSS iteration method for singular saddle point problems. Zbl 1279.65037
Wang, Shan-Shan; Zhang, Guo-Feng
2013
A generalized preconditioned HSS method for singular saddle point problems. Zbl 1300.65015
Chao, Zhen; Zhang, Naimin
2014
Second derivative methods with RK stability. Zbl 1084.65069
Butcher, J. C.; Hojjati, G.
2005
Homotopy analysis method for multiple solutions of the fractional Sturm-Liouville problems. Zbl 1197.65096
2010
Weak and strong convergence theorems for variational inequality problems. Zbl 1398.65376
Thong, Duong Viet; Hieu, Dang Van
2018
Numerical computation of polynomial zeros by means of Aberth’s method. Zbl 0869.65034
Bini, Dario Andrea
1996
BiCGstab($$l$$) and other hybrid Bi-CG methods. Zbl 0810.65027
Sleijpen, G. L. G.; van der Vorst, H. A.; Fokkema, D. R.
1994
Affine arithmetic: concepts and applications. Zbl 1074.65050
De Figueiredo, Luiz Henrique; Stolfi, Jorge
2004
Weighted FOM and GMRES for solving nonsymmetric linear systems. Zbl 0926.65036
Essai, Azeddine
1998
Immersed interface methods for moving interface problems. Zbl 0886.65096
Li, Zhilin
1997
Thong, Duong Viet; Van Hieu, Dang
2018
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
An adaptive greedy algorithm for solving large RBF collocation problems. Zbl 1019.65093
Hon, Y. C.; Schaback, R.; Zhou, X.
2003
Exponential fitted Gauss, Radau and Lobatto methods of low order. Zbl 1148.65059
Martín-Vaquero, J.; Vigo-Aguiar, J.
2008
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
Semilocal convergence of a sixth-order Jarratt method in Banach spaces. Zbl 1234.65030
Wang, Xiuhua; Kou, Jisheng; Gu, Chuanqing
2011
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
Error estimates for the regularization of least squares problems. Zbl 1166.65331
Brezinski, C.; Rodriguez, G.; Seatzu, S.
2009
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
Collocation methods for fractional integro-differential equations with weakly singular kernels. Zbl 1298.65197
Zhao, Jingjun; Xiao, Jingyu; Ford, Neville J.
2014
Stable iterations for the matrix square root. Zbl 0884.65035
Higham, Nicholas J.
1997
Error estimates for linear systems with applications to regularization. Zbl 1162.65018
Brezinski, C.; Rodriguez, G.; Seatzu, S.
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
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
Block Krylov subspace methods for large algebraic Riccati equations. Zbl 1045.65036
Jbilou, K.
2003
$$P$$-stable Obrechkoff methods of arbitrary order for second-order differential equations. Zbl 1123.65070
Van Daele, Marnix; Vanden Berghe, Guido
2007
An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives. Zbl 1144.65017
Diethelm, Kai
2008
Extrapolation algorithm for affine-convex feasibility problems. Zbl 1098.65060
Bauschke, Heinz H.; Combettes, Patrick L.; Kruk, Serge G.
2006
Using the refinement equation for the construction of pre-wavelets. Zbl 0759.65005
Micchelli, Charles A.
1991
An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate. Zbl 1412.65131
2017
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
$$H$$-matrix theory vs. eigenvalue localization. Zbl 1107.15012
Cvetković, Ljiljana
2006
A finite difference analysis of a streamline diffusion method on a Shishkin mesh. Zbl 0916.65108
Stynes, Martin; Tobiska, Lutz
1998
A general module theoretic framework for vector M-Padé and matrix rational interpolation. Zbl 0780.41014
Van Barel, M.; Bultheel, A.
1992
New error bounds for the linear complementarity problem with an $$SB$$-matrix. Zbl 1286.65074
Dai, Ping-Fan; Lu, Chang-Jing; Li, Yao-Tang
2013
A conservative linearized difference scheme for the nonlinear fractional Schrödinger equation. Zbl 1325.65127
Wang, Pengde; Huang, Chengming
2015
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
Fixing and extending some recent results on the ADMM algorithm. Zbl 07307390
Banert, Sebastian; Boţ, Radu Ioan; Csetnek, Ernö Robert
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-grid method for discontinuous Galerkin approximations to nonlinear Sobolev equations. Zbl 07331340
Yang, Jiming; Zhou, Jing
2021
Continuous and discrete zeroing dynamics models using JMP function array and design formula for solving time-varying Sylvester-transpose matrix inequality. Zbl 07331343
Zhang, Yunong; Liu, Xiao; Ling, Yihong; Yang, Min; Huang, Huanchang
2021
Numerical treatment of the generalized Love integral equation. Zbl 07331350
Fermo, Luisa; Russo, Maria Grazia; Serafini, Giada
2021
A two-step modulus-based matrix splitting iteration method for horizontal linear complementarity problems. Zbl 07331351
Zheng, Hua; Vong, Seakweng
2021
Convergence of discrete approximation for differential linear stochastic complementarity systems. Zbl 07340124
Luo, Jianfeng; Wang, Xiaozhou; Zhao, Yi
2021
On the linear convergence of circumcentered isometry methods. Zbl 07340125
Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu
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
Crank-Nicolson-weighted-shifted-Grünwald-difference schemes for space Riesz variable-order fractional diffusion equations. Zbl 07352573
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
Algorithm for numerical solutions to the kinetic equation of a spatial population dynamics model with coalescence and repulsive jumps. Zbl 07352585
Omelyan, Igor; Kozitsky, Yuri; Pilorz, Krzysztof
2021
A coarsening algorithm on adaptive red-green-blue refined meshes. Zbl 07363170
Funken, Stefan A.; Schmidt, Anja
2021
A nonnegativity preserving algorithm for multilinear systems with nonsingular $$\mathcal{M}$$-tensors. Zbl 07363175
Bai, Xueli; He, Hongjin; Ling, Chen; Zhou, Guanglu
2021
On the numerical structure preservation of nonlinear damped stochastic oscillators. Zbl 1459.65008
D&rsquo;Ambrosio, Raffaele; Scalone, Carmela
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
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
Subgradient projection methods extended to monotone bilevel equilibrium problems in Hilbert spaces. Zbl 1456.65045
Anh, Pham Ngoc; Tu, Ho Phi
2021
Superconvergence analysis of two-grid methods for bacteria equations. Zbl 1456.65122
Shi, Dongyang; Li, Chaoqun
2021
A new strong convergence for solving split variational inclusion problems. Zbl 1458.65061
Thong, Duong Viet; Dung, Vu Tien; Cho, Yeol Je
2021
Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs. Zbl 1459.65106
Wu, Xinyuan; Wang, Bin; Mei, Lijie
2021
Modulus-based matrix splitting methods for horizontal linear complementarity problems. Zbl 1431.65087
2020
Weak and strong convergence theorems for solving pseudo-monotone variational inequalities with non-Lipschitz mappings. Zbl 1439.47047
Duong Viet Thong; Shehu, Yekini; Iyiola, Olaniyi S.
2020
A priori error estimates of a Jacobi spectral method for nonlinear systems of fractional boundary value problems and related Volterra-Fredholm integral equations with smooth solutions. Zbl 1453.65198
Zaky, Mahmoud A.; Ameen, Ibrahem G.
2020
Conservative local discontinuous Galerkin method for the fractional Klein-Gordon-Schrödinger system with generalized Yukawa interaction. Zbl 1434.65155
Castillo, P.; Gómez, S.
2020
A new algorithm for solving the split common null point problem in Hilbert spaces. Zbl 07160103
Reich, Simeon; Tuyen, Truong Minh
2020
Family weak conjugate gradient algorithms and their convergence analysis for nonconvex functions. Zbl 1461.65190
Yuan, Gonglin; Wang, Xiaoliang; Sheng, Zhou
2020
Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation. Zbl 07191904
Yang, Fan; Zhang, Yan; Li, Xiao-Xiao
2020
A relaxation-type Galerkin FEM for nonlinear fractional Schrödinger equations. Zbl 1434.65186
Li, Meng; Huang, Chengming; Ming, Wanyuan
2020
A breakdown-free algorithm for computing the determinants of periodic tridiagonal matrices. Zbl 07154777
Jia, Ji-Teng
2020
A robust adaptive grid method for a nonlinear singularly perturbed differential equation with integral boundary condition. Zbl 1433.65137
Liu, Li-Bin; Long, Guangqing; Cen, Zhongdi
2020
Convergence analysis of positive-indefinite proximal ADMM with a Glowinski’s relaxation factor. Zbl 1461.65137
Chen, Jiawei; Wang, Yiyun; He, Hongjin; Lv, Yibing
2020
A coercive heterogeneous media Helmholtz model: formulation, wavenumber-explicit analysis, and preconditioned high-order FEM. Zbl 1436.35079
Ganesh, M.; Morgenstern, C.
2020
Two-grid methods of finite element solutions for semi-linear elliptic interface problems. Zbl 1465.65161
Chen, Yanping; Li, Qingfeng; Wang, Yang; Huang, Yunqing
2020
A new modified three-step iteration method for G-nonexpansive mappings in Banach spaces with a graph. Zbl 1446.47091
Yambangwai, Damrongsak; Aunruean, Sukanya; Thianwan, Tanakit
2020
Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations. Zbl 07202184
Zhou, Yongtao; Zhang, Chengjian; Brugnano, Luigi
2020
New self-adaptive step size algorithms for solving split variational inclusion problems and its applications. Zbl 07154784
Tang, Yan; Gibali, Aviv
2020
Note on error bounds for linear complementarity problems of Nekrasov matrices. Zbl 1454.65043
Li, Chaoqian; Yang, Shaorong; Huang, Hui; Li, Yaotang; Wei, Yimin
2020
Strong convergence of extragradient methods for solving bilevel pseudo-monotone variational inequality problems. Zbl 1444.47073
Duong Viet Thong; Nguyen Anh Triet; Li, Xiao-Huan; Dong, Qiao-Li
2020
Sharp $$H^1$$-norm error estimate of a cosine pseudo-spectral scheme for 2D reaction-subdiffusion equations. Zbl 1440.65092
Li, Xin; Zhang, Luming; Liao, Hong-Lin
2020
A time two-grid algorithm based on finite difference method for the two-dimensional nonlinear time-fractional mobile/immobile transport model. Zbl 1452.65175
Qiu, Wenlin; Xu, Da; Guo, Jing; Zhou, Jun
2020
Accurate computations for eigenvalues of products of Cauchy-polynomial-Vandermonde matrices. Zbl 1450.65037
Yang, Zhao; Huang, Rong; Zhu, Wei
2020
A derivative-free conjugate residual method using secant condition for general large-scale nonlinear equations. Zbl 1441.90160
Zhang, Li
2020
Iterative method with inertial terms for nonexpansive mappings: applications to compressed sensing. Zbl 1443.47082
Shehu, Yekini; Iyiola, Olaniyi S.; Ogbuisi, Ferdinard U.
2020
Efficient high-order compact exponential time differencing method for space-fractional reaction-diffusion systems with nonhomogeneous boundary conditions. Zbl 1437.65089
Bhatt, H. P.; Khaliq, A. Q. M.; Furati, K. M.
2020
A new algorithm that generates the image of the attractor of a generalized iterated function system. Zbl 07191900
Miculescu, Radu; Mihail, Alexandru; Urziceanu, Silviu-Aurelian
2020
Numerical solution of boundary value problems by using an optimized two-step block method. Zbl 1440.65075
Ramos, Higinio; Rufai, M. A.
2020
Adaptive solution of linear systems of equations based on a posteriori error estimators. Zbl 1439.65039
Anciaux-Sedrakian, A.; Grigori, L.; Jorti, Z.; Papež, J.; Yousef, S.
2020
An efficient projection-type method for monotone variational inequalities in Hilbert spaces. Zbl 07202163
Shehu, Yekini; Li, Xiao-Huan; Dong, Qiao-Li
2020
Convergence of a subgradient extragradient algorithm for solving monotone variational inequalities. Zbl 1446.47081
Yang, Jun; Liu, Hongwei; Li, Guaiwei
2020
Global uniqueness and solvability of tensor complementarity problems for $$\mathcal{H}_+$$-tensors. Zbl 1448.15035
Wang, Xuezhong; Che, Maolin; Wei, Yimin
2020
Fractional collocation boundary value methods for the second kind Volterra equations with weakly singular kernels. Zbl 1462.65222
Ma, Junjie; Liu, Huilan
2020
A second-order artificial compression method for the evolutionary Stokes-Darcy system. Zbl 07212124
Li, Yi; Hou, Yanren; Rong, Yao
2020
Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation. Zbl 1442.65168
Li, Meng; Huang, Chengming; Zhao, Yongliang
2020
Numerical approximation of the fractional Cahn-Hilliard equation by operator splitting method. Zbl 1447.65037
Zhai, Shuying; Wu, Longyuan; Wang, Jingying; Weng, Zhifeng
2020
FDEMtools: a Matlab package for FDEM data inversion. Zbl 1451.65042
Deidda, G. P.; Díaz de Alba, P.; Fenu, C.; Lovicu, G.; Rodriguez, G.
2020
Golub-Kahan bidiagonalization for ill-conditioned tensor equations with applications. Zbl 07221112
Beik, Fatemeh P. A.; Jbilou, Khalide; Najafi-Kalyani, Mehdi; Reichel, Lothar
2020
A priori error estimates of expanded mixed FEM for Kirchhoff type parabolic equation. Zbl 1434.65274
Sharma, Nisha; Khebchareon, Morrakot; Pani, Amiya K.
2020
Computing the Lambert $$W$$ function in arbitrary-precision complex interval arithmetic. Zbl 07154780
Johansson, Fredrik
2020
Accelerated double-step scale splitting iteration method for solving a class of complex symmetric linear systems. Zbl 1445.65007
Dehghan, Mehdi; Shirilord, Akbar
2020
A structural analysis of field/circuit coupled problems based on a generalised circuit element. Zbl 1447.78014
Cortes Garcia, Idoia; De Gersem, Herbert; Schöps, Sebastian
2020
A posteriori error estimation for a singularly perturbed Volterra integro-differential equation. Zbl 1437.65239
Huang, Jian; Cen, Zhongdi; Xu, Aimin; Liu, Li-Bin
2020
Two families of scaled three-term conjugate gradient methods with sufficient descent property for nonconvex optimization. Zbl 1436.90109
Bojari, S.; Eslahchi, M. R.
2020
Error bounds for linear complementarity problems of $$S$$-QN matrices. Zbl 07171728
Li, Jicheng; Li, Ge
2020
A computational approach for the non-smooth solution of non-linear weakly singular Volterra integral equation with proportional delay. Zbl 1436.65215
Mokhtary, P.; Moghaddam, B. P.; Lopes, A. M.; Machado, J. A. Tenreiro
2020
Parameter-robust preconditioning for the optimal control of the wave equation. Zbl 07171737
Liu, Jun; Pearson, John W.
2020
Backward errors of the linear complementarity problem. Zbl 07171740
Wu, Xian-Ping; Ke, Ri-Huan
2020
Efficient methods for nonlinear time fractional diffusion-wave equations and their fast implementations. Zbl 1465.65072
Huang, Jianfei; Yang, Dandan; Jay, Laurent O.
2020
Superconvergence analysis of a two-grid method for an energy-stable Ciarlet-Raviart type scheme of Cahn-Hilliard equation. Zbl 1465.65101
Liu, Qian; Shi, Dongyang
2020
A class of modified modulus-based synchronous multisplitting iteration methods for linear complementarity problems. Zbl 1453.65137
Xu, Weiwei; Zhu, Lei; Peng, Xiaofei; Liu, Hao; Yin, Junfeng
2020
Efficient modified stabilized invariant energy quadratization approaches for phase-field crystal equation. Zbl 1446.65071
Liu, Zhengguang; Li, Xiaoli
2020
Estimates for the differences of positive linear operators and their derivatives. Zbl 1448.41018
Acu, Ana-Maria; Raşa, Ioan
2020
On convergence of continuous half-explicit Runge-Kutta methods for a class of delay differential-algebraic equations. Zbl 1448.65086
Linh, Vu Hoang; Truong, Nguyen Duy
2020
On perturbed hybrid steepest descent method with minimization or superiorization for subdifferentiable functions. Zbl 07235974
Hoseini, Mohsen; Saeidi, Shahram; Kim, Do Sang
2020
A fast method for variable-order space-fractional diffusion equations. Zbl 1456.65132
Jia, Jinhong; Zheng, Xiangcheng; Fu, Hongfei; Dai, Pingfei; Wang, Hong
2020
Computational science in the eighteenth century. Test cases for the methods of Newton, Raphson, and Halley: 1685 to 1745. Zbl 07191894
Steihaug, Trond
2020
Symbolic-numeric integration of rational functions. Zbl 07191896
Moir, Robert H. C.; Corless, Robert M.; Maza, Marc Moreno; Xie, Ning
2020
A decoupling two-grid method for the time-dependent Poisson-Nernst-Planck equations. Zbl 1436.65189
Shen, Ruigang; Shu, Shi; Yang, Ying; Lu, Benzhuo
2020
Multidomain spectral method for the Gauss hypergeometric function. Zbl 1462.65092
Crespo, S.; Fasondini, M.; Klein, C.; Stoilov, N.; Vallée, C.
2020
Fast solvers for finite difference scheme of two-dimensional time-space fractional differential equations. Zbl 1442.65162
Huang, Yun-Chi; Lei, Siu-Long
2020
Approximation properties and error estimation of q-Bernstein shifted operators. Zbl 07202157
Mursaleen, Mohammad; Ansari, Khursheed J.; Khan, Asif
2020
New strong convergence theorem of the inertial projection and contraction method for variational inequality problems. Zbl 07202160
Thong, Duong Viet; Vinh, Nguyen The; Cho, Yeol Je
2020
A gradient-type algorithm with backward inertial steps associated to a nonconvex minimization problem. Zbl 1443.90277
Alecsa, Cristian Daniel; László, Szilárd Csaba; Viorel, Adrian
2020
Numerical solution of Itô-Volterra integral equation by least squares method. Zbl 1456.65005
Ahmadinia, M.; Afshari, A. H.; Heydari, M.
2020
On the global convergence of an inexact quasi-Newton conditional gradient method for constrained nonlinear systems. Zbl 07202183
Gonçalves, M. L. N.; Oliveira, F. R.
2020
Interval methods of Adams-Bashforth type with variable step sizes. Zbl 07202185
Marciniak, Andrzej; Jankowska, Malgorzata A.
2020
Optimal subsets in the stability regions of multistep methods. Zbl 07202186
Lóczi, Lajos
2020
Kressner, Daniel; Kürschner, Patrick; Massei, Stefano
2020
Reconstruction algorithms of an inverse source problem for the Helmholtz equation. Zbl 1442.65334
Liu, Ji-Chuan; Li, Xiao-Chen
2020
A convergence study for reduced rank extrapolation on nonlinear systems. Zbl 1442.65098
Sidi, Avram
2020
On the convergence analysis of the gradient-CQ algorithms for the split feasibility problem. Zbl 1459.65073
Kesornprom, Suparat; Pholasa, Nattawut; Cholamjiak, Prasit
2020
Generation of point sets by convex optimization for interpolation in reproducing kernel Hilbert spaces. Zbl 1459.65020
Tanaka, Ken&rsquo;ichiro
2020
Recursive blocked algorithms for linear systems with Kronecker product structure. Zbl 1442.65063
Chen, Minhong; Kressner, Daniel
2020
Generalized viscosity implicit scheme with Meir-Keeler contraction for asymptotically nonexpansive mapping in Banach spaces. Zbl 1442.47065
2020
The simpler block CMRH method for linear systems. Zbl 07221099
Abdaoui, Ilias; Elbouyahyaoui, Lakhdar; Heyouni, Mohammed
2020
On prescribing the convergence behavior of the conjugate gradient algorithm. Zbl 1451.65033
Meurant, Gérard
2020
A new iteration technique for nonlinear operators as concerns convex programming and feasibility problems. Zbl 07160088
Sahu, D. R.; Pitea, A.; Verma, M.
2020
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#### Cited by 13,131 Authors

 131 Reichel, Lothar 118 Simos, Theodore E. 106 Argyros, Ioannis Konstantinos 104 Dehghan Takht Fooladi, Mehdi 71 Cordero, Alicia 71 Torregrosa Sanchez, Juan Ramón 65 Liu, Fawang 61 Ma, Changfeng 53 Dang Van Hieu 51 George, Santhosh 51 Jackiewicz, Zdzislaw 51 Zhang, Guofeng 50 Shehu, Yekini 48 Bhrawy, Ali Hassan 47 Brezinski, Claude 46 Jbilou, Khalide 43 Mewomo, Oluwatosin Temitope 42 Benner, Peter 42 Sadok, Hassane 41 Amat, Sergio P. 41 Bultheel, Adhemar François 41 Soleymani, Fazlollah 39 Dương Việt Thông 39 Peña, Juan Manuel 39 Wei, Yimin 38 Huang, Ting-Zhu 38 Turner, Ian William 37 Behl, Ramandeep 36 D’Ambrosio, Raffaele 36 Marcellán Español, Francisco 36 Van Barel, Marc 35 Cho, Yeol Je 35 Hajarian, Masoud 35 Karageorghis, Andreas 34 Sharma, Janak Raj 33 Kumam, Poom 33 Lu, Dawei 33 Paternoster, Beatrice 32 Mazure, Marie-Laurence 32 Vong, Seakweng 31 Axelsson, Axel Owe Holger 31 Băleanu, Dumitru I. 29 Abbaszadeh, Mostafa 29 Doha, Eid H. 29 Kheirfam, Behrouz 29 Khojasteh Salkuyeh, Davod 29 Magreñán, Ángel Alberto 29 Redivo-Zaglia, Michela 28 Bai, Zhongzhi 28 Chen, Ching-Shyang 28 Dong, Qiaoli 28 González-Vera, Pablo 28 Wu, Yujiang 28 Yao, Jen-Chih 27 Abbasbandy, Saeid 27 Alolyan, Ibraheem 27 Chang, Shih-Sen 27 Li, Chaoqian 27 Liang, Zhaozheng 27 Zaky, Mahmoud A. 26 Abdi, Ali 26 Petković, Miodrag S. 26 Sun, Zhizhong 26 Weinmüller, Ewa B. 25 Li, Changpin 25 Martínez, Eulalia 25 Rodriguez, Giuseppe 24 Bini, Dario Andrea 24 Carnicer, Jésus Miguel 24 Gu, Chuanqing 24 Huang, Chengming 24 Ramos, Higinio 24 Wu, Xinyuan 23 Cholamjiak, Prasit 23 Xu, Da 22 Abd-Elhameed, Waleed Mohamed 22 Gibali, Aviv 22 Gu, Xian-Ming 22 Kanwar, Vinay 22 Martínez, José Mario 22 Mohanty, Ranjan Kumar 22 Reich, Simeon 22 Trillo, Juan Carlos 22 Vandebril, Raf 22 Wu, Shiliang 22 Yao, Yonghong 21 Butcher, John C. 21 Cen, Zhongdi 21 Chen, Chaoping 21 Fang, Yonglei 21 Hojjati, Gholamreza 21 Iyiola, Olaniyi Samuel 21 Izuchukwu, Chinedu 21 Li, Hong 21 Li, Yaotang 21 Liu, Yang 21 Machado, José António Tenreiro 21 Milovanović, Gradimir V. 21 Pan, Victor Yakovlevich 21 Stanimirović, Predrag S. ...and 13,031 more Authors
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#### Cited in 665 Journals

 1,123 Journal of Computational and Applied Mathematics 1,089 Numerical Algorithms 756 Applied Mathematics and Computation 555 Applied Numerical Mathematics 456 Computers & Mathematics with Applications 307 Linear Algebra and its Applications 291 Journal of Computational Physics 232 Journal of Scientific Computing 213 Computational and Applied Mathematics 193 Engineering Analysis with Boundary Elements 190 BIT 175 Journal of Mathematical Chemistry 169 SIAM Journal on Scientific Computing 155 International Journal of Computer Mathematics 144 Numerische Mathematik 136 Computer Methods in Applied Mechanics and Engineering 136 Mathematical Problems in Engineering 134 Mathematics of Computation 128 Advances in Computational Mathematics 123 Applied Mathematics Letters 120 Optimization 118 Calcolo 116 Abstract and Applied Analysis 98 Mathematics and Computers in Simulation 98 Computational Optimization and Applications 97 Journal of Approximation Theory 95 Applied Mathematical Modelling 94 Numerical Linear Algebra with Applications 92 Journal of Mathematical Analysis and Applications 87 Journal of Optimization Theory and Applications 86 Numerical Functional Analysis and Optimization 86 SIAM Journal on Matrix Analysis and Applications 81 Computer Aided Geometric Design 80 Advances in Difference Equations 72 Journal of Inequalities and Applications 69 International Journal of Applied and Computational Mathematics 68 Fixed Point Theory and Applications 66 SIAM Journal on Numerical Analysis 65 Inverse Problems in Science and Engineering 63 Communications in Nonlinear Science and Numerical Simulation 62 Optimization Letters 60 Journal of Applied Mathematics 57 Numerical Methods for Partial Differential Equations 57 Journal of Global Optimization 53 Nonlinear Dynamics 53 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 52 Journal of Complexity 52 Optimization Methods & Software 52 Mediterranean Journal of Mathematics 51 Inverse Problems 49 Journal of Applied Mathematics and Computing 48 Mathematical Methods in the Applied Sciences 45 Journal of Fixed Point Theory and Applications 45 S$$\vec{\text{e}}$$MA Journal 44 Journal of Nonlinear Science and Applications 43 International Journal for Numerical Methods in Engineering 43 Journal of Symbolic Computation 42 Results in Mathematics 40 Applicable Analysis 39 Linear and Multilinear Algebra 38 East Asian Journal on Applied Mathematics 37 Applied and Computational Harmonic Analysis 36 Computing 35 ETNA. Electronic Transactions on Numerical Analysis 34 Fractional Calculus & Applied Analysis 34 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 34 Afrika Matematika 33 Journal of Applied Analysis and Computation 33 Mathematical Sciences 33 Journal of Function Spaces 32 Mathematical Programming. Series A. Series B 32 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 31 Computers and Fluids 31 Constructive Approximation 29 Computer Physics Communications 29 Chaos, Solitons and Fractals 29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 29 Japan Journal of Industrial and Applied Mathematics 29 SIAM Journal on Optimization 29 International Journal of Computational Methods 28 Journal of the Franklin Institute 28 Acta Applicandae Mathematicae 28 Mathematical and Computer Modelling 27 Automatica 26 Integral Transforms and Special Functions 26 Discrete and Continuous Dynamical Systems. Series B 25 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 24 Journal of Difference Equations and Applications 23 Foundations of Computational Mathematics 23 Algorithms 23 Journal of Mathematics 22 Theoretical Computer Science 22 Mathematical Modelling and Analysis 22 Journal of Industrial and Management Optimization 21 Boundary Value Problems 20 Systems & Control Letters 20 Computational Mathematics and Mathematical Physics 20 SIAM Journal on Imaging Sciences 19 International Journal of Mathematics and Mathematical Sciences 19 Journal of Number Theory ...and 565 more Journals
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#### Cited in 60 Fields

 9,442 Numerical analysis (65-XX) 2,137 Partial differential equations (35-XX) 1,382 Operations research, mathematical programming (90-XX) 1,201 Ordinary differential equations (34-XX) 1,141 Approximations and expansions (41-XX) 1,046 Operator theory (47-XX) 977 Linear and multilinear algebra; matrix theory (15-XX) 680 Fluid mechanics (76-XX) 604 Calculus of variations and optimal control; optimization (49-XX) 501 Real functions (26-XX) 501 Special functions (33-XX) 450 Harmonic analysis on Euclidean spaces (42-XX) 435 Integral equations (45-XX) 387 Computer science (68-XX) 364 Mechanics of deformable solids (74-XX) 359 Systems theory; control (93-XX) 320 Dynamical systems and ergodic theory (37-XX) 307 Probability theory and stochastic processes (60-XX) 301 Information and communication theory, circuits (94-XX) 267 Biology and other natural sciences (92-XX) 208 Functions of a complex variable (30-XX) 163 Statistics (62-XX) 135 Quantum theory (81-XX) 133 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 130 Optics, electromagnetic theory (78-XX) 115 Number theory (11-XX) 115 Classical thermodynamics, heat transfer (80-XX) 106 Functional analysis (46-XX) 91 Difference and functional equations (39-XX) 84 Integral transforms, operational calculus (44-XX) 81 Statistical mechanics, structure of matter (82-XX) 81 Geophysics (86-XX) 80 Mechanics of particles and systems (70-XX) 67 Field theory and polynomials (12-XX) 64 Sequences, series, summability (40-XX) 60 Combinatorics (05-XX) 57 General topology (54-XX) 41 Algebraic geometry (14-XX) 38 Commutative algebra (13-XX) 35 Global analysis, analysis on manifolds (58-XX) 31 Potential theory (31-XX) 30 Convex and discrete geometry (52-XX) 28 History and biography (01-XX) 26 Measure and integration (28-XX) 22 Differential geometry (53-XX) 12 General and overarching topics; collections (00-XX) 11 Mathematical logic and foundations (03-XX) 8 Group theory and generalizations (20-XX) 8 Geometry (51-XX) 8 Astronomy and astrophysics (85-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Abstract harmonic analysis (43-XX) 6 Relativity and gravitational theory (83-XX) 6 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)