Numerical Algorithms Short Title: Numer. Algorithms Publisher: Springer US, New York, NY ISSN: 1017-1398; 1572-9265/e Online: https://link.springer.com/journal/11075/volumes-and-issues Comments: Journal; Indexed cover-to-cover Documents Indexed: 3,676 Publications (since 1991) References Indexed: 3,107 Publications with 87,838 References. all top 5 Latest Issues 97, No. 3 (2024) 97, No. 2 (2024) 97, No. 1 (2024) 96, No. 4 (2024) 96, No. 3 (2024) 96, No. 2 (2024) 96, No. 1 (2024) 95, No. 4 (2024) 95, No. 3 (2024) 95, No. 2 (2024) 95, No. 1 (2024) 94, No. 4 (2023) 94, No. 3 (2023) 94, No. 2 (2023) 94, No. 1 (2023) 93, No. 4 (2023) 93, No. 3 (2023) 93, No. 2 (2023) 93, No. 1 (2023) 92, No. 4 (2023) 92, No. 3 (2023) 92, No. 2 (2023) 92, No. 1 (2023) 91, No. 4 (2022) 91, No. 3 (2022) 91, No. 2 (2022) 91, No. 1 (2022) 90, No. 4 (2022) 90, No. 3 (2022) 90, No. 2 (2022) 90, No. 1 (2022) 89, No. 4 (2022) 89, No. 3 (2022) 89, No. 2 (2022) 89, No. 1 (2022) 88, No. 4 (2021) 88, No. 3 (2021) 88, No. 2 (2021) 88, No. 1 (2021) 87, No. 4 (2021) 87, No. 3 (2021) 87, No. 2 (2021) 87, No. 1 (2021) 86, No. 4 (2021) 86, No. 3 (2021) 86, No. 2 (2021) 86, No. 1 (2021) 85, No. 4 (2020) 85, No. 3 (2020) 85, No. 2 (2020) 85, No. 1 (2020) 84, No. 4 (2020) 84, No. 3 (2020) 84, No. 2 (2020) 84, No. 1 (2020) 83, No. 4 (2020) 83, No. 3 (2020) 83, No. 2 (2020) 83, No. 1 (2020) 82, No. 4 (2019) 82, No. 3 (2019) 82, No. 2 (2019) 82, No. 1 (2019) 81, No. 4 (2019) 81, No. 3 (2019) 81, No. 2 (2019) 81, No. 1 (2019) 80, No. 4 (2019) 80, No. 3 (2019) 80, No. 2 (2019) 80, No. 1 (2019) 79, No. 4 (2018) 79, No. 3 (2018) 79, No. 2 (2018) 79, No. 1 (2018) 78, No. 4 (2018) 78, No. 3 (2018) 78, No. 2 (2018) 78, No. 1 (2018) 77, No. 4 (2018) 77, No. 3 (2018) 77, No. 2 (2018) 77, No. 1 (2018) 76, No. 4 (2017) 76, No. 3 (2017) 76, No. 2 (2017) 76, No. 1 (2017) 75, No. 4 (2017) 75, No. 3 (2017) 75, No. 2 (2017) 75, No. 1 (2017) 74, No. 4 (2017) 74, No. 3 (2017) 74, No. 2 (2017) 74, No. 1 (2017) 73, No. 4 (2016) 73, No. 3 (2016) 73, No. 2 (2016) 73, No. 1 (2016) 72, No. 4 (2016) ...and 204 more Volumes all top 5 Authors 46 Reichel, Lothar 27 Gautschi, Walter 26 Brezinski, Claude 25 Argyros, Ioannis Konstantinos 25 Redivo-Zaglia, Michela 24 Butcher, John C. 22 Meurant, Gérard A. 19 Van Barel, Marc 18 Liu, Fawang 18 Sadok, Hassane 17 Jackiewicz, Zdzislaw 17 Reich, Simeon 17 Rodriguez, Giuseppe 16 Karageorghis, Andreas 15 Cuyt, Annie A. M. 15 Hansen, Per Christian 15 Liu, Hongwei 15 Mazure, Marie-Laurence 14 Bultheel, Adhemar François 14 Dương Việt Thông 14 Jbilou, Khalide 14 Zhang, Guofeng 13 Bai, Zhongzhi 13 Carnicer, Jésus Miguel 13 Dehghan Takht Fooladi, Mehdi 13 Ma, Changfeng 12 Bialecki, Bernard 12 Cordero, Alicia 12 González-Vera, Pablo 12 Shehu, Yekini 12 Torregrosa Sanchez, Juan Ramón 12 Vong, Seakweng 11 Bini, Dario Andrea 11 Dong, Qiaoli 11 Enright, Wayne H. 11 Golub, Gene Howard 11 Wu, Yujiang 10 Amat Plata, Sergio 10 Anh, Vo V. 10 Axelsson, Axel Owe Holger 10 Calvetti, Daniela 10 Du, Guangzhi 10 Hernández-Verón, Miguel Ángel 10 Huang, Chengming 10 Iyiola, Olaniyi Samuel 10 Jiang, Yaolin 10 Kou, Jisheng 10 Liang, Zhaozheng 10 Martínez, José Mario 10 Peña, Juan Manuel 10 Wu, Qingbiao 10 Zhang, Yunong 9 Andrei, Neculai 9 Brugnano, Luigi 9 Burrage, Kevin 9 Chan, Tony Fan-Cheong 9 Graves-Morris, Peter R. 9 Hilout, Saïd 9 Hojjati, Gholamreza 9 Hosseini, Seyed Mohammad 9 Marcellán Español, Francisco 9 Sablonnière, Paul 9 Segura, Javier 9 Turner, Ian William 9 van Gorder, Robert Ashton 9 Wang, Xiuhua 9 Wei, Yimin 9 Wu, Xinyuan 9 Yang, Aili 8 Abdi, Ali 8 Auzinger, Winfried 8 Benner, Peter 8 Corless, Robert Malcolm 8 Costabile, Francesco Aldo 8 Dang Van Hieu 8 Driver, Kathy A. 8 Gander, Martin Jakob 8 Gemignani, Luca 8 Hasegawa, Takemitsu 8 Heyouni, Mohammed 8 Higham, Nicholas John 8 Iavernaro, Felice 8 Koch, Othmar 8 Lamour, René 8 Li, Jiyong 8 Martínez, Eulalia 8 Micchelli, Charles A. 8 Njåstad, Olav 8 Petković, Miodrag S. 8 Seatzu, Sebastiano 8 Sharma, Janak Raj 8 Soleymani, Fazlollah 8 Stynes, Martin Joseph 8 Zheng, Bing 7 Asharabi, Rashad M. 7 Babaie-Kafaki, Saman 7 Berrut, Jean-Paul 7 Chen, Ke 7 D’Ambrosio, Raffaele 7 Daripa, Prabir K. ...and 4,715 more Authors all top 5 Fields 3,284 Numerical analysis (65-XX) 507 Partial differential equations (35-XX) 417 Approximations and expansions (41-XX) 415 Operations research, mathematical programming (90-XX) 347 Ordinary differential equations (34-XX) 267 Linear and multilinear algebra; matrix theory (15-XX) 201 Operator theory (47-XX) 169 Special functions (33-XX) 151 Calculus of variations and optimal control; optimization (49-XX) 130 Harmonic analysis on Euclidean spaces (42-XX) 120 Integral equations (45-XX) 119 Fluid mechanics (76-XX) 101 Real functions (26-XX) 91 Computer science (68-XX) 83 Probability theory and stochastic processes (60-XX) 78 Functions of a complex variable (30-XX) 69 Information and communication theory, circuits (94-XX) 60 Dynamical systems and ergodic theory (37-XX) 42 Systems theory; control (93-XX) 41 Biology and other natural sciences (92-XX) 38 Mechanics of deformable solids (74-XX) 32 Integral transforms, operational calculus (44-XX) 32 Statistics (62-XX) 29 Optics, electromagnetic theory (78-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 27 General and overarching topics; collections (00-XX) 26 Number theory (11-XX) 26 Sequences, series, summability (40-XX) 22 Combinatorics (05-XX) 19 Field theory and polynomials (12-XX) 16 Measure and integration (28-XX) 16 Geophysics (86-XX) 15 Classical thermodynamics, heat transfer (80-XX) 14 History and biography (01-XX) 14 Functional analysis (46-XX) 14 Mechanics of particles and systems (70-XX) 14 Quantum theory (81-XX) 13 Potential theory (31-XX) 11 Difference and functional equations (39-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Convex and discrete geometry (52-XX) 6 Algebraic geometry (14-XX) 6 Differential geometry (53-XX) 6 General topology (54-XX) 5 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 Geometry (51-XX) 3 Astronomy and astrophysics (85-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,994 Publications have been cited 32,269 times in 21,242 Documents Cited by ▼ Year ▼ A multiprojection algorithm using Bregman projections in a product space. Zbl 0828.65065 Censor, Yair; Elfving, Tommy 880 1994 Detailed error analysis for a fractional Adams method. Zbl 1055.65098 Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 434 2004 Algorithms for the split variational inequality problem. Zbl 1239.65041 Censor, Yair; Gibali, Aviv; Reich, Simeon 429 2012 Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems. Zbl 0789.65029 Hansen, Per Christian 334 1994 On choosing “optimal” shape parameters for RBF approximation. Zbl 1127.65009 Fasshauer, Gregory E.; Zhang, Jack G. 266 2007 Regularization tools version \(4.0\) for matlab \(7.3\). Zbl 1128.65029 Hansen, Per Christian 240 2007 Numerical integration using sparse grids. Zbl 0921.65022 Gerstner, Thomas; Griebel, Michael 237 1998 On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037 Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang 190 2011 A modified Newton-Jarratt’s composition. Zbl 1251.65074 Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R. 138 2010 Accelerated modulus-based matrix splitting iteration methods for linear complementarity problem. Zbl 1273.65075 Zheng, Ning; Yin, Jun-Feng 123 2013 Two-step modulus-based matrix splitting iteration method for linear complementarity problems. Zbl 1219.65057 Zhang, Li-Li 122 2011 Numerical solution of fractional order differential equations by extrapolation. Zbl 0926.65070 Diethelm, Kai; Walz, Guido 114 1997 The numerical solution of fractional differential equations: speed versus accuracy. Zbl 0976.65062 Ford, Neville J.; Simpson, A. Charles 110 2001 Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems. Zbl 1259.65088 Bai, Zhong-Zhi; Zhang, Li-Li 108 2013 On choosing the location of the sources in the MFS. Zbl 1338.65269 Chen, C. S.; Karageorghis, Andreas; Li, Yan 107 2016 Two finite difference schemes for time fractional diffusion-wave equation. Zbl 1284.65103 Huang, Jianfei; Tang, Yifa; Vázquez, Luis; Yang, Jiye 104 2013 An optimized two-step hybrid block method for solving general second order initial-value problems. Zbl 1347.65121 Ramos, Higinio; Kalogiratou, Z.; Monovasilis, Th.; Simos, T. E. 104 2016 Zero dissipative, explicit Numerov-type methods for second order IVPs with oscillating solutions. Zbl 1031.65080 Simos, T. E.; Famelis, I. T.; Tsitouras, C. 103 2003 Old and new parameter choice rules for discrete ill-posed problems. Zbl 1267.65045 Reichel, Lothar; Rodriguez, Giuseppe 102 2013 An efficient fourth order weighted-Newton method for systems of nonlinear equations. Zbl 1283.65051 Sharma, Janak Raj; Guha, Rangan Kumar; Sharma, Rajni 101 2013 Strong convergence result for solving monotone variational inequalities in Hilbert space. Zbl 1493.47107 Yang, Jun; Liu, Hongwei 100 2019 An inertial forward-backward-forward primal-dual splitting algorithm for solving monotone inclusion problems. Zbl 1338.47076 Boţ, Radu Ioan; Csetnek, Ernö Robert 97 2016 Nonautonomous systems, cocycle attractors and variable time-step discretization. Zbl 0886.65077 Kloeden, Peter E.; Schmalfuß, Björn 94 1997 A comparison of iterative methods to solve complex valued linear algebraic systems. Zbl 1307.65034 Axelsson, Owe; Neytcheva, Maya; Ahmad, Bashir 94 2014 Convergence of an extragradient-type method for variational inequality with applications to optimal control problems. Zbl 1415.47011 Vuong, Phan Tu; Shehu, Yekini 92 2019 A computational study of the weak Galerkin method for second-order elliptic equations. Zbl 1271.65140 Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu 92 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 89 2011 Weak and strong convergence theorems for variational inequality problems. Zbl 1398.65376 Duong Viet Thong; Dang Van Hieu 88 2018 Modified subgradient extragradient method for variational inequality problems. Zbl 06945630 Thong, Duong Viet; Van Hieu, Dang 86 2018 Galerkin finite element method for nonlinear fractional Schrödinger equations. Zbl 1359.65208 Li, Meng; Huang, Chengming; Wang, Pengde 85 2017 Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings. Zbl 1367.65089 Hieu, Dang Van; Muu, Le Dung; Anh, Pham Ky 83 2016 Design, analysis, and implementation of a multiprecision polynomial rootfinder. Zbl 1018.65061 Bini, Dario Andrea; Fiorentino, Giuseppe 82 2000 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. 81 2019 AIR tools II: algebraic iterative reconstruction methods, improved implementation. Zbl 1397.65007 Hansen, Per Christian; Jørgensen, Jakob Sauer 79 2018 On explicit two-derivative Runge-Kutta methods. Zbl 1185.65122 Chan, Robert P. K.; Tsai, Angela Y. J. 77 2010 Nonlinear multiscale decompositions: The approach of A. Harten. Zbl 0952.65015 Aràndiga, Francesc; Donat, Rosa 75 2000 Remarks around 50 lines of Matlab: short finite element implementation. Zbl 0938.65129 Alberty, Jochen; Carstensen, Carsten; Funken, Stefan A. 75 1999 Block Krylov subspace methods for solving large Sylvester equations. Zbl 0992.65040 El Guennouni, A.; Jbilou, K.; Riquet, A. J. 75 2002 A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations. Zbl 1358.65043 Rahimkhani, P.; Ordokhani, Y.; Babolian, E. 74 2017 Iterative methods for image deblurring: A Matlab object-oriented approach. Zbl 1048.65039 Nagy, James G.; Palmer, Katrina; Perrone, Lisa 73 2004 Explicit general linear methods with inherent Runge–Kutta stability. Zbl 1016.65049 Wright, W. M. 72 2002 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 72 2021 The many proofs of an identity on the norm of oblique projections. Zbl 1102.47002 Szyld, Daniel B. 70 2006 A modified low-rank Smith method for large-scale Lyapunov equations. Zbl 1034.93020 Gugercin, S.; Sorensen, D. C.; Antoulas, A. C. 69 2003 A rational Lanczos algorithm for model reduction. Zbl 0870.65053 Gallivan, K.; Grimme, E.; Van Dooren, P. 68 1996 Stochastic approaches to uncertainty quantification in CFD simulations. Zbl 1130.76062 Mathelin, Lionel; Hussaini, M. Yousuff; Zang, Thomas A. 67 2005 Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation. Zbl 1177.65194 McLean, William; Mustapha, Kassem 67 2009 P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equations. Zbl 1134.65043 Van Daele, M.; Vanden Berghe, G. 67 2007 An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate. Zbl 1412.65131 Abbaszadeh, Mostafa; Dehghan, Mehdi 66 2017 On the accurate discretization of a highly nonlinear boundary value problem. Zbl 1405.65143 Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru 65 2018 Lopsided PMHSS iteration method for a class of complex symmetric linear systems. Zbl 1298.65058 Li, Xu; Yang, Ai-Li; Wu, Yu-Jiang 65 2014 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 65 2016 A derivative-free iterative method for nonlinear monotone equations with convex constraints. Zbl 1431.65073 Liu, Jinkui; Feng, Yuming 65 2019 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. 64 2016 A new family of modified Ostrowski’s methods with accelerated eighth order convergence. Zbl 1195.65067 Sharma, Janak Raj; Sharma, Rajni 64 2010 A new Stirling series as continued fraction. Zbl 1213.33007 Mortici, Cristinel 64 2011 Adaptive greedy techniques for approximate solution of large RBF systems. Zbl 0957.65021 Schaback, Robert; Wendland, Holger 63 2000 Automatic control and adaptive time-stepping. Zbl 1012.65080 Söderlind, Gustaf 63 2002 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 63 2010 An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh. Zbl 1454.65050 Das, Pratibhamoy 62 2019 Acceleration of randomized Kaczmarz method via the Johnson-Lindenstrauss lemma. Zbl 1230.65051 Eldar, Yonina C.; Needell, Deanna 60 2011 Collocation methods for fractional integro-differential equations with weakly singular kernels. Zbl 1298.65197 Zhao, Jingjun; Xiao, Jingyu; Ford, Neville J. 59 2014 Second derivative methods with RK stability. Zbl 1084.65069 Butcher, J. C.; Hojjati, G. 59 2005 Exponential fitted Gauss, Radau and Lobatto methods of low order. Zbl 1148.65059 Martín-Vaquero, J.; Vigo-Aguiar, J. 59 2008 Fourth-order compact solution of the nonlinear Klein-Gordon equation. Zbl 1180.65114 Dehghan, Mehdi; Mohebbi, Akbar; Asgari, Zohreh 59 2009 A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations. Zbl 1348.65143 Bhrawy, A. H. 59 2016 Modulus-based matrix splitting methods for horizontal linear complementarity problems. Zbl 1431.65087 Mezzadri, Francesco; Galligani, Emanuele 57 2020 A class of two-stage iterative methods for systems of weakly nonlinear equations. Zbl 0889.65055 Bai, Zhongzhi 57 1997 Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation. Zbl 1211.65127 Mustapha, Kassem; McLean, William 57 2011 Finite element method for space-time fractional diffusion equation. Zbl 1343.65122 Feng, L. B.; Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Gu, Yuan Tong 56 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 55 2004 Analysis of a meshless method for the time fractional diffusion-wave equation. Zbl 1352.65298 Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 55 2016 A family of Hermite interpolants by bisection algorithms. Zbl 0754.65011 Merrien, J. L. 54 1992 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 54 2015 Affine arithmetic: concepts and applications. Zbl 1074.65050 De Figueiredo, Luiz Henrique; Stolfi, Jorge 54 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. 54 2008 Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations. Zbl 1402.65061 Rahimkhani, P.; Ordokhani, Y.; Babolian, E. 54 2018 Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation. Zbl 1264.65143 Cui, Mingrong 53 2013 \(P\)-stable Obrechkoff methods of arbitrary order for second-order differential equations. Zbl 1123.65070 Van Daele, Marnix; Vanden Berghe, Guido 53 2007 Some second-order \(\theta\) schemes combined with finite element method for nonlinear fractional cable equation. Zbl 1433.65218 Liu, Yang; Du, Yanwei; Li, Hong; Liu, Fawang; Wang, Yajun 53 2019 Strong convergence result for monotone variational inequalities. Zbl 06788836 Shehu, Yekini; Iyiola, Olaniyi S. 52 2017 A relaxation modulus-based matrix splitting iteration method for solving linear complementarity problems. Zbl 1357.65080 Zheng, Hua; Li, Wen; Vong, Seakweng 52 2017 A descent Dai-Liao conjugate gradient method for nonlinear equations. Zbl 1412.65042 Abubakar, Auwal Bala; Kumam, Poom 52 2019 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. 52 2021 Homotopy analysis method for multiple solutions of the fractional Sturm-Liouville problems. Zbl 1197.65096 Abbasbandy, Saeid; Shirzadi, A. 50 2010 Solving stable generalized Lyapunov equations with the matrix sign function. Zbl 0940.65035 Benner, Peter; Quintana-Ortí, Enrique S. 50 1999 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. 50 2016 A modified subgradient extragradient method for solving the variational inequality problem. Zbl 06967417 Dong, Qiao-Li; Jiang, Dan; Gibali, Aviv 49 2018 Numerical computation of polynomial zeros by means of Aberth’s method. Zbl 0869.65034 Bini, Dario Andrea 49 1996 New variants of Jarratt’s method with sixth-order convergence. Zbl 1187.65052 Ren, Hongmin; Wu, Qingbiao; Bi, Weihong 49 2009 Model reduction of state space systems via an implicitly restarted Lanczos method. Zbl 0870.65052 Grimme, E. J.; Sorensen, D. C.; Van Dooren, P. 48 1996 Conjugate gradient method for rank deficient saddle point problems. Zbl 1054.65032 Wu, X.; Silva, B. P. B.; Yuan, J. Y. 48 2004 BiCGstab(\(l\)) and other hybrid Bi-CG methods. Zbl 0810.65027 Sleijpen, G. L. G.; van der Vorst, H. A.; Fokkema, D. R. 48 1994 Implicit QR algorithms for palindromic and even eigenvalue problems. Zbl 1181.65054 Kressner, Daniel; Schröder, Christian; Watkins, David S. 48 2009 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 48 2009 A spectral algorithm for large-scale systems of nonlinear monotone equations. Zbl 1382.65143 La Cruz, William 48 2017 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. 48 2019 A conservative linearized difference scheme for the nonlinear fractional Schrödinger equation. Zbl 1325.65127 Wang, Pengde; Huang, Chengming 47 2015 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 47 2013 An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives. Zbl 1144.65017 Diethelm, Kai 47 2008 Modified three-term derivative-free projection method for solving nonlinear monotone equations with application. 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Zbl 1534.90031 Noschese, Silvia; Reichel, Lothar 1 2024 Rational QZ steps with perfect shifts. Zbl 1537.65031 Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf; Van Dooren, Paul 1 2024 Balanced and energy norm error bounds for a spatial FEM with Crank-Nicolson and BDF2 time discretisation applied to a singularly perturbed reaction-diffusion problem. Zbl 1534.65185 Meng, Xiangyun; Stynes, Martin 1 2024 Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation. Zbl 1534.65149 Zhang, Hong; Qian, Xu; Song, Songhe 1 2024 Tensor factorization via transformed tensor-tensor product for image alignment. Zbl 1533.65066 Xia, Sijia; Qiu, Duo; Zhang, Xiongjun 1 2024 A stiff-cut splitting technique for stiff semi-linear systems of differential equations. Zbl 1533.65096 Sun, Tao; Sun, Hai-Wei 1 2024 On computing modified moments for half-range Hermite weights. Zbl 1534.65045 Laudadio, Teresa; Mastronardi, Nicola; Van Dooren, Paul 1 2024 Fully decoupled, linear, and energy-preserving GSAV difference schemes for the nonlocal coupled sine-Gordon equations in multiple dimensions. Zbl 1535.65223 Hu, Dongdong; Kong, Linghua; Cai, Wenjun; Wang, Yushun 1 2024 An improved numerical approach for solving shape optimization problems on convex domains. Zbl 1545.65258 Chakib, Abdelkrim; Khalil, Ibrahim; Sadik, Azeddine 1 2024 A convex splitting method for the time-dependent Ginzburg-Landau equation. Zbl 07853035 Wang, Yunxia; Si, Zhiyong 1 2024 A priori and a posteriori error estimation for singularly perturbed delay integro-differential equations. Zbl 1535.65313 Kumar, Sunil; Kumar, Shashikant; Sumit 1 2024 SGEM: stochastic gradient with energy and momentum. Zbl 1535.65075 Liu, Hailiang; Tian, Xuping 1 2024 An adaptive projection BFGS method for nonconvex unconstrained optimization problems. Zbl 1535.65081 Yuan, Gonglin; Zhao, Xiong; Liu, Kejun; Chen, Xiaoxuan 1 2024 A highly efficient class of optimal fourth-order methods for solving nonlinear systems. Zbl 1535.65065 Cordero, Alicia; Rojas-Hiciano, Renso V.; Torregrosa, Juan R.; Vassileva, Maria P. 1 2024 Runge-Kutta pairs of orders 9(8) for use in quadruple precision computations. Zbl 1535.65101 Kovalnogov, Vladislav N.; Fedorov, Ruslan V.; Karpukhina, Tamara V.; Simos, Theodore E.; Tsitouras, Charalampos 1 2024 Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes. Zbl 1535.65198 Li, Rui; Gao, Yali; Chen, Zhangxin 1 2024 A multidimensional Hermite-Gauss sampling formula for analytic functions of several variables. Zbl 1536.32003 Asharabi, Rashad M.; Al-Haddad, Felwah H. 1 2024 A PDE-informed optimization algorithm for river flow predictions. Zbl 1545.65390 Birgin, E. G.; Martínez, J. M. 1 2024 A unified approach to Krylov subspace methods for solving linear systems. Zbl 1542.65038 Bouyghf, F.; Messaoudi, A.; Sadok, H. 1 2024 A sufficient descent LS-PRP-BFGS-like method for solving nonlinear monotone equations with application to image restoration. Zbl 1544.65096 Abubakar, A. B.; Ibrahim, A. H.; Abdullahi, M.; Aphane, M.; Chen, Jiawei 1 2024 Two classes of spectral three-term derivative-free method for solving nonlinear equations with application. Zbl 1544.65084 Ibrahim, Abdulkarim Hassan; Alshahrani, Mohammed; Al-Homidan, Suliman 1 2024 A criterion space algorithm for solving linear multiplicative programming problems. Zbl 1544.65106 Shen, Peiping; Deng, Yaping; Wu, Dianxiao 1 2024 A numerical approach for nonlinear time-fractional diffusion equation with generalized memory kernel. Zbl 07925684 Seal, Aniruddha; Natesan, Srinivasan 1 2024 Two subgradient extragradient methods based on the golden ratio technique for solving variational inequality problems. Zbl 07932427 Oyewole, Olawale K.; Reich, Simeon 1 2024 Algebraic method for LU decomposition of dual quaternion matrix and its corresponding structure-preserving algorithm. Zbl 07932433 Wang, Tao; Li, Ying; Wei, Musheng; Xi, Yimeng; Zhang, Mingcui 1 2024 A modified inertial three-term conjugate gradient projection method for constrained nonlinear equations with applications in compressed sensing. Zbl 07676496 Ma, Guodong; Jin, Jiachen; Jian, Jinbao; Yin, Jianghua; Han, Daolan 14 2023 Supercloseness and postprocessing for linear finite element method on Bakhvalov-type meshes. Zbl 07676493 Zhang, Jin; Liu, Xiaowei 11 2023 Faster randomized block sparse Kaczmarz by averaging. Zbl 1521.65030 Tondji, Lionel; Lorenz, Dirk A. 9 2023 Internality of generalized averaged Gauss quadrature rules and truncated variants for modified Chebyshev measures of the third and fourth kinds. Zbl 07644400 Djukić, D. Lj.; Djukić, R. M. Mutavdžić; Reichel, L.; Spalević, M. M. 6 2023 Bernstein super fractal interpolation function for countable data systems. Zbl 1529.28009 Chandra, Subhash; Abbas, Syed; Verma, Saurabh 6 2023 A second-order finite difference scheme for the multi-dimensional nonlinear time-fractional Schrödinger equation. Zbl 1506.65127 Liu, Jianfeng; Wang, Tingchun; Zhang, Teng 5 2023 Perron communicability and sensitivity of multilayer networks. Zbl 1508.65031 El-Halouy, Smahane; Noschese, Silvia; Reichel, Lothar 5 2023 A \(\tau \)-preconditioner for a non-symmetric linear system arising from multi-dimensional Riemann-Liouville fractional diffusion equation. Zbl 1506.65054 Lin, Xue-lei; Huang, Xin; Ng, Michael K.; Sun, Hai-Wei 5 2023 Unconditionally optimal \(H^1\)-error estimate of a fast nonuniform \(\mathrm{L}2-1_\sigma\) scheme for nonlinear subdiffusion equations. Zbl 07676497 Liu, Nan; Chen, Yanping; Zhang, Jiwei; Zhao, Yanmin 5 2023 The conservative characteristic difference method and analysis for solving two-sided space-fractional advection-diffusion equations. Zbl 07676500 Hang, Tongtong; Zhou, Zhongguo; Pan, Hao; Wang, Yan 5 2023 A primal-dual splitting algorithm for composite monotone inclusions with minimal lifting. Zbl 07676512 Aragón-Artacho, Francisco J.; Boţ, Radu I.; Torregrosa-Belén, David 5 2023 Modulus-based synchronous multisplitting iteration methods for large sparse vertical linear complementarity problems. Zbl 07684724 Zheng, Hua; Zhang, Yongxiong; Lu, Xiaoping; Vong, Seakweng 5 2023 A high-order numerical scheme for multidimensional convection-diffusion-reaction equation with time-fractional derivative. Zbl 1529.65016 Ngondiep, Eric 5 2023 Crank-Nicolson ADI finite difference/compact difference schemes for the 3D tempered integrodifferential equation associated with Brownian motion. Zbl 07694960 Qiao, Leijie; Qiu, Wenlin; Xu, Da 5 2023 A family of three-term conjugate gradient projection methods with a restart procedure and their relaxed-inertial extensions for the constrained nonlinear pseudo-monotone equations with applications. Zbl 1530.65062 Liu, Pengjie; Shao, Hu; Yuan, Zihang; Wu, Xiaoyu; Zheng, Tianlei 5 2023 A \(\mu\)-mode BLAS approach for multidimensional tensor-structured problems. Zbl 1528.15001 Caliari, Marco; Cassini, Fabio; Zivcovich, Franco 4 2023 Integrability and geometry of the Wynn recurrence. Zbl 07644402 Doliwa, Adam; Siemaszko, Artur 4 2023 Numerical solution to a nonlinear McKendrick-von Foerster equation with diffusion. Zbl 1507.65140 Halder, Joydev; Tumuluri, Suman Kumar 4 2023 Global algorithm for a class of multiplicative programs using piecewise linear approximation technique. Zbl 1506.65077 Hou, Zhisong; Liu, Sanyang 4 2023 Mittag-Leffler stability of numerical solutions to time fractional ODEs. Zbl 1512.65149 Wang, Dongling; Zou, Jun 4 2023 Comment on: “A derivative-free iterative method for nonlinear monotone equations with convex constraints”. Zbl 07780857 Abdullahi, Muhammad; Bala Abubakar, Auwal; Feng, Yuming; Liu, Jinkui 4 2023 An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model. Zbl 07676495 Acosta-Soba, Daniel; Guillén-González, Francisco; Rodríguez-Galván, J. Rafael 4 2023 Local and parallel stabilized finite element methods based on two-grid discretizations for the Stokes equations. Zbl 07676510 Wang, Xinhui; Du, Guangzhi 4 2023 Novel projection methods for solving variational inequality problems and applications. Zbl 07694961 Thong, Duong Viet; Reich, Simeon; Shehu, Yekini; Iyiola, Olaniyi S. 4 2023 Dimensions of new fractal functions and associated measures. Zbl 07736710 Verma, Manuj; Priyadarshi, Amit 4 2023 Integrable semi-discretizations and self-adaptive moving mesh method for a generalized sine-Gordon equation. Zbl 07730432 Feng, Bao-Feng; Sheng, Han-Han; Yu, Guo-Fu 3 2023 Regularized minimal-norm solution of an overdetermined system of first kind integral equations. Zbl 07644398 de Alba, Patricia Díaz; Fermo, Luisa; Pes, Federica; Rodriguez, Giuseppe 3 2023 Discrete comparison principle of a finite difference method for the multi-term time fractional diffusion equation. Zbl 07720457 Wang, Yue; Zhao, Youxing; Chen, Hu 3 2023 (Spectral) Chebyshev collocation methods for solving differential equations. Zbl 1523.65100 Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice 3 2023 High order multiquadric trigonometric quasi-interpolation method for solving time-dependent partial differential equations. Zbl 07720463 Sun, Zhengjie; Gao, Yuyan 3 2023 Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations. Zbl 1527.33004 Hermoso, Carlos; Huertas, Edmundo J.; Lastra, Alberto; Marcellán, Francisco 3 2023 Computing Gaussian quadrature rules with high relative accuracy. Zbl 1506.65053 Laudadio, Teresa; Mastronardi, Nicola; Van Dooren, Paul 3 2023 Three decoupled, second-order accurate, and energy stable schemes for the conserved Allen-Cahn-type block copolymer (BCP) model. Zbl 1506.65171 Li, Qi; Zheng, Supei; Mei, Liquan 3 2023 A uniformly accurate exponential wave integrator Fourier pseudo-spectral method with structure-preservation for long-time dynamics of the Dirac equation with small potentials. Zbl 1509.65106 Li, Jiyong; Zhu, Liqing 3 2023 A superconvergent ultra-weak local discontinuous Galerkin method for nonlinear fourth-order boundary-value problems. Zbl 1512.65150 Baccouch, Mahboub 3 2023 Fast and accurate solvers for weakly singular integral equations. Zbl 1511.65147 Grammont, Laurence; Kulkarni, Rekha P.; Vasconcelos, Paulo B. 3 2023 Artificial compressibility SAV ensemble algorithms for the incompressible Navier-Stokes equations. Zbl 07669765 Jiang, Nan; Yang, Huanhuan 3 2023 An \(hp\)-version fractional collocation method for Volterra integro-differential equations with weakly singular kernels. Zbl 1511.65061 Ma, Zheng; Huang, Chengming 3 2023 Virtual element method for nonlinear Sobolev equation on polygonal meshes. Zbl 07780864 Liu, Wanxiang; Chen, Yanping; Gu, Qiling; Huang, Yunqing 3 2023 A high-order adaptive numerical algorithm for fractional diffusion wave equation on non-uniform meshes. Zbl 07676506 Maurya, Rahul Kumar; Singh, Vineet Kumar 3 2023 A hybrid inertial and contraction proximal point algorithm for monotone variational inclusions. Zbl 07676508 Dey, Soumitra 3 2023 Strong convergence of Bregman projection method for solving variational inequality problems in reflexive Banach spaces. Zbl 07676518 Xie, Zhongbing; Cai, Gang; Dong, Qiao-Li 3 2023 A fast time two-mesh finite volume element algorithm for the nonlinear time-fractional coupled diffusion model. Zbl 07684729 Fang, Zhichao; Zhao, Jie; Li, Hong; Liu, Yang 3 2023 Drift-implicit Euler scheme for sandwiched processes driven by Hölder noises. Zbl 1522.65011 Di Nunno, Giulia; Mishura, Yuliya; Yurchenko-Tytarenko, Anton 3 2023 A highly efficient and accurate new SAV approach for the modified phase field crystal model. Zbl 07684717 Liu, Zhengguang; Zheng, Nan; Zhou, Zhaojie 3 2023 A dynamic distributed conjugate gradient method for variational inequality problem over the common fixed-point constraints. Zbl 07684721 Petrot, Narin; Prangprakhon, Mootta; Promsinchai, Porntip; Nimana, Nimit 3 2023 Shift-splitting fixed point iteration method for solving generalized absolute value equations. Zbl 07684723 Li, Xu; Li, Yi-Xin; Dou, Yan 3 2023 Improved Gegenbauer spectral tau algorithms for distributed-order time-fractional telegraph models in multi-dimensions. Zbl 07694958 Ahmed, Hoda F.; Hashem, W. A. 3 2023 An algebraically stabilized method for convection-diffusion-reaction problems with optimal experimental convergence rates on general meshes. Zbl 1522.65215 Knobloch, Petr 3 2023 On the \(L^{\infty}\) convergence of a novel fourth-order compact and conservative difference scheme for the generalized Rosenau-KdV-RLW equation. Zbl 1523.65072 Li, Shuguang; Kravchenko, Oleg V.; Qu, Kai 3 2023 Randomized Kaczmarz method with adaptive stepsizes for inconsistent linear systems. Zbl 1525.65027 Zeng, Yun; Han, Deren; Su, Yansheng; Xie, Jiaxin 3 2023 Analytical and numerical solution techniques for a class of time-fractional integro-partial differential equations. Zbl 07730427 Maji, Sandip; Natesan, Srinivasan 2 2023 Uniform convergence of optimal order for a finite element method on a Bakhvalov-type mesh for a singularly perturbed convection-diffusion equation with parabolic layers. Zbl 1529.65129 Liu, Xiaowei; Zhang, Jin 2 2023 Two-point Padé approximation to Herglotz-Riesz transforms. Zbl 1528.41032 Bultheel, Adhemar; Mendoza, Carlos Díaz 2 2023 Averaged cubature schemes on the real positive semiaxis. Zbl 1506.65048 Djukić, Dušan Lj; Fermo, Luisa; Djukić, Rada M. Mutavdžić 2 2023 An inexact version of the symmetric proximal ADMM for solving separable convex optimization. Zbl 07730420 Adona, Vando A.; Gonçalves, Max L. N. 2 2023 Dynamics of Newton-like root finding methods. Zbl 1521.65037 Campos, B.; Canela, J.; Vindel, P. 2 2023 A unified convergence analysis of the derivative-free projection-based method for constrained nonlinear monotone equations. Zbl 1522.65079 Ou, Yigui; Li, Lin 2 2023 A fault detection method based on partition of unity and kernel approximation. Zbl 1521.65012 Mirzaei, Davoud; Soodbakhsh, Navid 2 2023 ...and 1435 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 20,403 Authors 174 Reichel, Lothar 166 Simos, Theodore E. 164 Argyros, Ioannis Konstantinos 145 Dehghan Takht Fooladi, Mehdi 122 Mewomo, Oluwatosin Temitope 117 Kumam, Poom 93 Shehu, Yekini 86 Liu, Fawang 85 Cordero, Alicia 85 Torregrosa Sanchez, Juan Ramón 82 George, Santhosh 80 Ma, Changfeng 71 Dong, Qiaoli 70 Jolaoso, Lateef Olakunle O. 69 Yao, Jen-Chih 69 Zhang, Guofeng 67 Dương Việt Thông 66 Dang Van Hieu 66 Ramos, Higinio 63 Jbilou, Khalide 61 Izuchukwu, Chinedu 60 Băleanu, Dumitru I. 60 Cholamjiak, Prasit 60 Wei, Yimin 59 Vong, Seakweng 57 Amat Plata, Sergio 57 Hajarian, Masoud 57 Jackiewicz, Zdzislaw 57 Zaky, Mahmoud A. 56 Benner, Peter 55 Cho, Yeol Je 53 Abdi, Ali 53 Reich, Simeon 52 D’Ambrosio, Raffaele 51 Bhrawy, Ali Hassan 51 Peña, Juan Manuel 51 Sharma, Janak Raj 50 Behl, Ramandeep 49 Liu, Yang 49 Turner, Ian William 48 Brezinski, Claude 48 Soleymani, Fazlollah 47 Li, Hong 46 Alakoya, Timilehin Opeyemi 46 Sadok, Hassane 45 Huang, Ting-Zhu 45 Marcellán Español, Francisco 45 Paternoster, Beatrice 45 Xu, Da 44 Bultheel, Adhemar François 44 Chen, Yanping 44 Gibali, Aviv 44 Hojjati, Gholamreza 44 Liu, Hongwei 43 Abbaszadeh, Mostafa 43 Karageorghis, Andreas 42 Iyiola, Olaniyi Samuel 42 Van Barel, Marc 41 Chen, Ching-Shyang 41 Liang, Zhaozheng 40 Doha, Eid H. 40 Gómez-Aguilar, José Francisco 40 Huang, Chengming 40 Tsitouras, Charalampos 39 Khojasteh Salkuyeh, Davod 39 Sun, Zhizhong 39 Trương Minh Tuyên 38 Huang, Zhengge 37 Axelsson, Axel Owe Holger 37 Martínez, Eulalia 37 Wu, Shiliang 36 Chang, Shih-Sen 36 Jiang, Yaolin 36 Kheirfam, Behrouz 36 Magreñán, Ángel Alberto 36 Ordokhani, Yadollah 36 Spalević, Miodrag M. 36 Wu, Yujiang 35 Aremu, Kazeem Olalekan 35 Mazure, Marie-Laurence 35 Wu, Xinyuan 34 Bala Abubakar, Auwal 34 Li, Chaoqian 34 Lu, Dawei 34 Mohanty, Ranjan Kumar 34 Redivo-Zaglia, Michela 34 Trillo, Juan Carlos 34 Zheng, Hua 33 Bini, Dario Andrea 33 Cui, Jingjing 33 Gu, Xian-Ming 33 Hendy, Ahmed S. 33 Li, Changpin 33 Serra-Capizzano, Stefano 32 Babaie-Kafaki, Saman 32 Bai, Zhongzhi 32 Milovanović, Gradimir V. 32 Pan, Kejia 32 Qin, Xiaolong 32 Rodriguez, Giuseppe ...and 20,303 more Authors all top 5 Cited in 836 Journals 1,501 Numerical Algorithms 1,495 Journal of Computational and Applied Mathematics 934 Applied Mathematics and Computation 791 Applied Numerical Mathematics 652 Computers & Mathematics with Applications 505 Computational and Applied Mathematics 406 Journal of Computational Physics 402 Journal of Scientific Computing 379 International Journal of Computer Mathematics 363 Mathematical Methods in the Applied Sciences 344 Linear Algebra and its Applications 256 Engineering Analysis with Boundary Elements 250 Mathematics and Computers in Simulation 250 SIAM Journal on Scientific Computing 237 Journal of Mathematical Chemistry 234 BIT 220 Numerical Linear Algebra with Applications 205 Optimization 205 Applied Mathematics Letters 203 Computer Methods in Applied Mechanics and Engineering 202 Numerical Methods for Partial Differential Equations 194 Communications in Nonlinear Science and Numerical Simulation 189 Journal of Applied Mathematics and Computing 186 Journal of Inequalities and Applications 180 Calcolo 177 Advances in Computational Mathematics 166 Numerische Mathematik 160 Advances in Difference Equations 156 Mathematics of Computation 155 Mathematical Problems in Engineering 149 SIAM Journal on Matrix Analysis and Applications 145 Journal of Optimization Theory and Applications 145 Applied Mathematical Modelling 132 Computational Optimization and Applications 121 Abstract and Applied Analysis 115 Journal of Mathematical Analysis and Applications 110 International Journal of Applied and Computational Mathematics 107 Numerical Functional Analysis and Optimization 105 Journal of Approximation Theory 102 Computer Physics Communications 98 Computer Aided Geometric Design 95 SIAM Journal on Numerical Analysis 94 International Journal for Numerical Methods in Engineering 92 ETNA. 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