## 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: 3,200 Publications (since 1991) References Indexed: 2,636 Publications with 71,453 References.
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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 Carnicer, Jésus Miguel 13 Cuyt, Annie A. M. 13 Dehghan Takht Fooladi, Mehdi 13 Ma, Changfeng 12 Bai, Zhongzhi 12 González-Vera, Pablo 12 Jbilou, Khalide 11 Bialecki, Bernard 11 Dương Việt Thông 11 Enright, Wayne H. 11 Golub, Gene Howard 11 Reich, Simeon 11 Shehu, Yekini 11 Zhang, Guofeng 10 Amat, Sergio P. 10 Axelsson, Axel Owe Holger 10 Bini, Dario Andrea 10 Calvetti, Daniela 10 Cordero, Alicia 10 Kou, Jisheng 10 Torregrosa Sanchez, Juan Ramón 10 Vong, Seakweng 10 Wu, Yujiang 10 Zhang, Yunong 9 Andrei, Neculai 9 Anh, Vo V. 9 Chan, Tony Fan-Cheong 9 Graves-Morris, Peter R. 9 Hilout, Saïd 9 Hojjati, Gholamreza 9 Hosseini, Seyed Mohammad 9 Iyiola, Olaniyi Samuel 9 Jiang, Yaolin 9 Peña, Juan Manuel 9 Sablonnière, Paul 9 van Gorder, Robert Ashton 9 Wang, Xiuhua 9 Wei, Yimin 9 Wu, Xinyuan 8 Auzinger, Winfried 8 Brugnano, Luigi 8 Costabile, Francesco Aldo 8 Dang Van Hieu 8 Driver, Kathy A. 8 Higham, Nicholas J. 8 Koch, Othmar 8 Lamour, René 8 Liang, Zhaozheng 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 8 Yang, Aili 7 Abdi, Ali 7 Corless, Robert Malcolm 7 D’Ambrosio, Raffaele 7 Daripa, Prabir K. 7 Estévez Schwarz, Diana 7 Floater, Michael S. 7 Gander, Martin Jakob 7 Gasca, Mariano 7 Gemignani, Luca 7 Hasegawa, Takemitsu 7 Hendriksen, Erik 7 Heyouni, Mohammed 7 Huang, Chengming 7 Iavernaro, Felice 7 Kanwar, Vinay 7 Kheirfam, Behrouz 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. ...and 3,995 more Authors
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### Fields

 2,823 Numerical analysis (65-XX) 432 Partial differential equations (35-XX) 388 Approximations and expansions (41-XX) 335 Operations research, mathematical programming (90-XX) 333 Ordinary differential equations (34-XX) 201 Linear and multilinear algebra; matrix theory (15-XX) 173 Operator theory (47-XX) 151 Special functions (33-XX) 124 Harmonic analysis on Euclidean spaces (42-XX) 122 Calculus of variations and optimal control; optimization (49-XX) 103 Fluid mechanics (76-XX) 100 Integral equations (45-XX) 80 Real functions (26-XX) 80 Computer science (68-XX) 72 Functions of a complex variable (30-XX) 64 Probability theory and stochastic processes (60-XX) 55 Information and communication theory, circuits (94-XX) 50 Dynamical systems and ergodic theory (37-XX) 38 Systems theory; control (93-XX) 37 Mechanics of deformable solids (74-XX) 37 Biology and other natural sciences (92-XX) 30 Integral transforms, operational calculus (44-XX) 29 Statistics (62-XX) 28 Optics, electromagnetic theory (78-XX) 25 General and overarching topics; collections (00-XX) 24 Number theory (11-XX) 23 Sequences, series, summability (40-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) 14 Quantum theory (81-XX) 13 Geophysics (86-XX) 12 Classical thermodynamics, heat transfer (80-XX) 10 Potential theory (31-XX) 10 Functional analysis (46-XX) 10 Convex and discrete geometry (52-XX) 9 Difference and functional equations (39-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Measure and integration (28-XX) 7 Statistical mechanics, structure of matter (82-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) 1 Mathematics education (97-XX)

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2,517 Publications have been cited 22,872 times in 15,577 Documents Cited by Year
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An efficient fourth order weighted-Newton method for systems of nonlinear equations. Zbl 1283.65051
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A comparison of iterative methods to solve complex valued linear algebraic systems. Zbl 1307.65034
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Two finite difference schemes for time fractional diffusion-wave equation. Zbl 1284.65103
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2013
Old and new parameter choice rules for discrete ill-posed problems. Zbl 1267.65045
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2013
A computational study of the weak Galerkin method for second-order elliptic equations. Zbl 1271.65140
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2013
Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation. Zbl 1214.65046
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Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings. Zbl 1367.65089
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2016
An inertial forward-backward-forward primal-dual splitting algorithm for solving monotone inclusion problems. Zbl 1338.47076
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Remarks around 50 lines of Matlab: short finite element implementation. Zbl 0938.65129
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Weak and strong convergence theorems for variational inequality problems. Zbl 1398.65376
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2018
Iterative methods for image deblurring: A Matlab object-oriented approach. Zbl 1048.65039
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2004
Design, analysis, and implementation of a multiprecision polynomial rootfinder. Zbl 1018.65061
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2000
Block Krylov subspace methods for solving large Sylvester equations. Zbl 0992.65040
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2002
Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation. Zbl 1177.65194
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2009
On explicit two-derivative Runge-Kutta methods. Zbl 1185.65122
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2010
Galerkin finite element method for nonlinear fractional Schrödinger equations. Zbl 1359.65208
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2017
A modified low-rank Smith method for large-scale Lyapunov equations. Zbl 1034.93020
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2003
Nonlinear multiscale decompositions: The approach of A. Harten. Zbl 0952.65015
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2000
A new Stirling series as continued fraction. Zbl 1213.33007
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2011
A new family of modified Ostrowski’s methods with accelerated eighth order convergence. Zbl 1195.65067
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2010
Lopsided PMHSS iteration method for a class of complex symmetric linear systems. Zbl 1298.65058
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2014
A rational Lanczos algorithm for model reduction. Zbl 0870.65053
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Stochastic approaches to uncertainty quantification in CFD simulations. Zbl 1130.76062
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2018
Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation. Zbl 1191.65116
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2010
Strong convergence result for solving monotone variational inequalities in Hilbert space. Zbl 07037504
Yang, Jun; Liu, Hongwei
2019
P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equations. Zbl 1134.65043
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2007
Explicit general linear methods with inherent Runge–Kutta stability. Zbl 1016.65049
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2002
Adaptive greedy techniques for approximate solution of large RBF systems. Zbl 0957.65021
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2000
The many proofs of an identity on the norm of oblique projections. Zbl 1102.47002
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2006
A class of two-stage iterative methods for systems of weakly nonlinear equations. Zbl 0889.65055
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1997
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 nested iteration schemes for linear systems with a coefficient matrix with a dominant positive definite symmetric part. Zbl 1054.65028
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2004
On the accurate discretization of a highly nonlinear boundary value problem. Zbl 1405.65143
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2018
Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation. Zbl 1264.65143
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2013
A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations. Zbl 1348.65143
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2004
A family of Hermite interpolants by bisection algorithms. Zbl 0754.65011
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Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation. Zbl 1211.65127
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2011
Second derivative methods with RK stability. Zbl 1084.65069
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2005
Exponential fitted Gauss, Radau and Lobatto methods of low order. Zbl 1148.65059
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2008
On the solution of the symmetric eigenvalue complementarity problem by the spectral projected gradient algorithm. Zbl 1144.65042
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2008
Automatic control and adaptive time-stepping. Zbl 1012.65080
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2002
Fourth-order compact solution of the nonlinear Klein-Gordon equation. Zbl 1180.65114
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2009
Solving stable generalized Lyapunov equations with the matrix sign function. Zbl 0940.65035
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1999
Convergence of an extragradient-type method for variational inequality with applications to optimal control problems. Zbl 1415.47011
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2019
An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate. Zbl 1412.65131
2017
Implicit QR algorithms for palindromic and even eigenvalue problems. Zbl 1181.65054
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2009
New variants of Jarratt’s method with sixth-order convergence. Zbl 1187.65052
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2009
Dai, Yu-Hong; Zhang, Hongchao
2001
Model reduction of state space systems via an implicitly restarted Lanczos method. Zbl 0870.65052
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1996
A novel compact numerical method for solving the two-dimensional non-linear fractional reaction-subdiffusion equation. Zbl 1314.65114
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2015
Homotopy analysis method for multiple solutions of the fractional Sturm-Liouville problems. Zbl 1197.65096
2010
Acceleration of randomized Kaczmarz method via the Johnson-Lindenstrauss lemma. Zbl 1230.65051
Eldar, Yonina C.; Needell, Deanna
2011
Analysis of a meshless method for the time fractional diffusion-wave equation. Zbl 1352.65298
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
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
$$P$$-stable Obrechkoff methods of arbitrary order for second-order differential equations. Zbl 1123.65070
Van Daele, Marnix; Vanden Berghe, Guido
2007
AIR tools II: algebraic iterative reconstruction methods, improved implementation. Zbl 1397.65007
Hansen, Per Christian; Jørgensen, Jakob Sauer
2018
High order finite difference method for time-space fractional differential equations with Caputo and Riemann-Liouville derivatives. Zbl 1382.65259
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2016
Numerical computation of polynomial zeros by means of Aberth’s method. Zbl 0869.65034
Bini, Dario Andrea
1996
A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations. Zbl 1358.65043
Rahimkhani, P.; Ordokhani, Y.; Babolian, E.
2017
Strong convergence result for monotone variational inequalities. Zbl 06788836
Shehu, Yekini; Iyiola, Olaniyi S.
2017
A Padé-based algorithm for overcoming the Gibbs phenomenon. Zbl 0973.65133
Driscoll, Tobin A.; Fornberg, Bengt
2001
BiCGstab($$l$$) and other hybrid Bi-CG methods. Zbl 0810.65027
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1994
Collocation methods for fractional integro-differential equations with weakly singular kernels. Zbl 1298.65197
Zhao, Jingjun; Xiao, Jingyu; Ford, Neville J.
2014
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
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
Method of lines solutions of the parabolic inverse problem with an overspecification at a point. Zbl 1162.65048
Dehghan, Mehdi; Shakeri, Fatemeh
2009
Error estimates for the regularization of least squares problems. Zbl 1166.65331
Brezinski, C.; Rodriguez, G.; Seatzu, S.
2009
Weighted FOM and GMRES for solving nonsymmetric linear systems. Zbl 0926.65036
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1998
Immersed interface methods for moving interface problems. Zbl 0886.65096
Li, Zhilin
1997
Affine arithmetic: concepts and applications. Zbl 1074.65050
De Figueiredo, Luiz Henrique; Stolfi, Jorge
2004
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
A conservative linearized difference scheme for the nonlinear fractional Schrödinger equation. Zbl 1325.65127
Wang, Pengde; Huang, Chengming
2015
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 modified subgradient extragradient method for solving the variational inequality problem. Zbl 06967417
Dong, Qiao-Li; Jiang, Dan; Gibali, Aviv
2018
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
Extrapolation-based implicit-explicit general linear methods. Zbl 1291.65217
Cardone, Angelamaria; Jackiewicz, Zdzislaw; Sandu, Adrian; Zhang, Hong
2014
Error bounds for linear complementarity problems of $$MB$$-matrices. Zbl 1332.65076
Chen, Tingting; Li, Wen; Wu, Xianping; Vong, Seakweng
2015
A relaxation modulus-based matrix splitting iteration method for solving linear complementarity problems. Zbl 1357.65080
Zheng, Hua; Li, Wen; Vong, Seakweng
2017
An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives. Zbl 1144.65017
Diethelm, Kai
2008
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
A subgradient proximal method for solving a class of monotone multivalued variational inequality problems. Zbl 1480.65154
Anh, P. N.; Thang, T. V.; Thach, H. T. C.
2022
A method of fundamental solutions for heat and wave propagation from lateral Cauchy data. Zbl 07456983
Borachok, Ihor; Chapko, Roman; Johansson, B. Tomas
2022
Finite volume approach for fragmentation equation and its mathematical analysis. Zbl 07456985
Singh, Mehakpreet; Walker, Gavin
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 1491.65059
Abdi, Ali; Hojjati, Gholamreza; Izzo, Giuseppe; Jackiewicz, Zdzislaw
2022
Perturbation analysis and condition numbers of mixed least squares-scaled total least squares problem. Zbl 1490.65065
Zhang, Pingping; Wang, Qun
2022
Superconvergence analysis of BDF-Galerkin FEM for nonlinear Schrödinger equation. Zbl 07456974
Wang, Junjun; Li, Meng; Zhang, Yu
2022
Numerical analysis of incompressible wormhole propagation with mass-preserving characteristic mixed finite element procedure. Zbl 1481.65193
Zhang, Jiansong; Yu, Yun; Ji, Bingjie; Yu, Yue
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
Rigorous convergence proof of space-time multigrid with coarsening in space. Zbl 1489.65123
Notay, Yvan
2022
A Tseng extragradient method for solving variational inequality problems in Banach spaces. Zbl 07456996
Oyewole, O. K.; Abass, H. A.; Mebawondu, A. A.; Aremu, K. O.
2022
A new proximal-like algorithm for solving split variational inclusion problems. Zbl 1480.65144
Hieu, Dang Van; Reich, Simeon; Anh, Pham Ky; Ha, Nguyen Hai
2022
The strong convergence and stability of explicit approximations for nonlinear stochastic delay differential equations. Zbl 1481.65023
Song, Guoting; Hu, Junhao; Gao, Shuaibin; Li, Xiaoyue
2022
On a fast deterministic block Kaczmarz method for solving large-scale linear systems. Zbl 1487.65035
Chen, Jia-Qi; Huang, Zheng-Da
2022
A new self-adaptive algorithm for solving the split common fixed point problem with multiple output sets in Hilbert spaces. Zbl 1487.65059
Reich, Simeon; Tuyen, Truong Minh; Thuy, Nguyen Thi Thu; Ha, Mai Thi Ngoc
2022
Stability analysis of the method of fundamental solutions with smooth closed pseudo-boundaries for Laplace’s equation: better pseudo-boundaries. Zbl 07490870
Zhang, Li-Ping; Li, Zi-Cai; Lee, Ming-Gong; Huang, Hung-Tsai
2022
Dai-Liao extensions of a descent hybrid nonlinear conjugate gradient method with application in signal processing. Zbl 1484.65132
Aminifard, Zohre; Babaie-Kafaki, Saman
2022
A sample efficient sparse FFT for arbitrary frequency candidate sets in high dimensions. Zbl 1491.65177
Kämmerer, Lutz; Krahmer, Felix; Volkmer, Toni
2022
Analysis of two variants of an inertial projection algorithm for finding the minimum-norm solutions of variational inequality and fixed point problems. Zbl 07496462
Linh, Ha Manh; Reich, Simeon; Thong, Duong Viet; Dung, Vu Tien; Lan, Nguyen Phuong
2022
Fractional filter method for recovering the historical distribution for diffusion equations with coupling operator of local and nonlocal type. Zbl 1486.65153
Khieu, Tran Thi; Khanh, Tra Quoc
2022
Error bounds for septic Hermite interpolation and its implementation to study modified Burgers’ equation. Zbl 07496466
Kumari, Archna; Kukreja, V. K.
2022
A study of defect-based error estimates for the Krylov approximation of $$\varphi$$-functions. Zbl 07512667
Jawecki, Tobias
2022
Two-grid finite element methods for nonlinear time-fractional parabolic equations. Zbl 07525417
Zhou, Jie; Yao, Xing; Wang, Wansheng
2022
Weak convergence of Euler scheme for SDEs with low regular drift. Zbl 07525418
Suo, Yongqiang; Yuan, Chenggui; Zhang, Shao-Qin
2022
Arbitrary high-order linearly implicit energy-preserving algorithms for Hamiltonian PDEs. Zbl 07565424
Bo, Yonghui; Wang, Yushun; Cai, Wenjun
2022
A modulus-based formulation for the vertical linear complementarity problem. Zbl 07565425
2022
New modulus-based matrix splitting methods for implicit complementarity problem. Zbl 07565433
Wu, Shiliang; Li, Liang
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
A two-step modulus-based matrix splitting iteration method for horizontal linear complementarity problems. Zbl 1468.65077
Zheng, Hua; Vong, Seakweng
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
On the circumcentered-reflection method for the convex feasibility problem. Zbl 1460.49023
Behling, Roger; Bello-Cruz, Yunier; Santos, Luiz-Rafael
2021
Local and parallel finite element methods for the coupled Stokes/Darcy model. Zbl 1486.65247
Du, Guangzhi; Zuo, Liyun
2021
Highly efficient schemes for time-fractional Allen-Cahn equation using extended SAV approach. Zbl 1481.65237
Hou, Dianming; Zhu, Hongyi; Xu, Chuanju
2021
On block Gaussian sketching for the Kaczmarz method. Zbl 1456.65023
Rebrova, Elizaveta; Needell, Deanna
2021
A new strong convergence for solving split variational inclusion problems. Zbl 1458.65061
Thong, Duong Viet; Dung, Vu Tien; Cho, Yeol Je
2021
Fixing and extending some recent results on the ADMM algorithm. Zbl 1489.65082
Banert, Sebastian; Boţ, Radu Ioan; Csetnek, Ernö Robert
2021
On the linear convergence of circumcentered isometry methods. Zbl 07340125
Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu
2021
Inertial projection-type methods for solving pseudomonotone variational inequality problems in Hilbert space. Zbl 1486.65069
Reich, Simeon; Thong, Duong Viet; Cholamjiak, Prasit; Long, Luong Van
2021
Superconvergence analysis of two-grid methods for bacteria equations. Zbl 1456.65122
Shi, Dongyang; Li, Chaoqun
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
A second-order fast compact scheme with unequal time-steps for subdiffusion problems. Zbl 1466.65072
Li, Xin; Liao, Hong-lin; Zhang, Luming
2021
A fast linearized numerical method for nonlinear time-fractional diffusion equations. Zbl 1468.65100
Lyu, Pin; Vong, Seakweng
2021
Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers. Zbl 1468.65159
Antoine, Xavier; Lorin, Emmanuel; Zhang, Y.
2021
Linearized Krylov subspace Bregman iteration with nonnegativity constraint. Zbl 1470.65049
Buccini, Alessandro; Pasha, Mirjeta; Reichel, Lothar
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
An algorithm for best rational approximation based on barycentric rational interpolation. Zbl 1473.65015
Hofreither, Clemens
2021
On the preserving of the maximum principle and energy stability of high-order implicit-explicit Runge-Kutta schemes for the space-fractional Allen-Cahn equation. Zbl 1489.65105
Zhang, Hong; Yan, Jingye; Qian, Xu; Gu, Xianming; Song, Songhe
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
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
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
High-dimensional sparse Fourier algorithms. Zbl 1470.65226
Choi, Bosu; Christlieb, Andrew; Wang, Yang
2021
Halpern projection methods for solving pseudomonotone multivalued variational inequalities in Hilbert spaces. Zbl 1489.65093
Anh, Pham Ngoc; Thang, T. V.; Thach, H. T. C.
2021
Modulus-based matrix splitting methods for a class of horizontal nonlinear complementarity problems. Zbl 1465.65052
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
A hybrid three-term conjugate gradient projection method for constrained nonlinear monotone equations with applications. Zbl 1484.65131
Yin, Jianghua; Jian, Jinbao; Jiang, Xianzhen; Liu, Meixing; Wang, Lingzhi
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
Generalized cross validation for $$\ell^p$$-$$\ell^q$$ minimization. Zbl 1482.65063
Buccini, Alessandro; Reichel, Lothar
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
Local and parallel finite element methods based on two-grid discretizations for the nonstationary Navier-Stokes equations. Zbl 07431186
Li, Qingtao; Du, Guangzhi
2021
Subgradient projection methods extended to monotone bilevel equilibrium problems in Hilbert spaces. Zbl 1456.65045
Anh, Pham Ngoc; Tu, Ho Phi
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
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
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
Newton’s method with fractional derivatives and various iteration processes via visual analysis. Zbl 1461.65087
Gdawiec, Krzysztof; Kotarski, Wiesław; Lisowska, Agnieszka
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
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
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
Numerical treatment of the generalized Love integral equation. Zbl 1489.65170
Fermo, Luisa; Russo, Maria Grazia; Serafini, Giada
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 1490.65039
Fornberg, Bengt
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
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
Two adaptive scaled gradient projection methods for Stiefel manifold constrained optimization. Zbl 1470.90133
Oviedo, Harry; Dalmau, Oscar; Lara, Hugo
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
Tensor extrapolation methods with applications. Zbl 1472.65049
Beik, F. P. A.; El Ichi, A.; Jbilou, K.; Sadaka, R.
2021
Wavelet regularization strategy for the fractional inverse diffusion problem. Zbl 1486.65152
Karimi, Milad; Zallani, Fatemeh; Sayevand, Khosro
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
Galerkin finite element method for nonlinear fractional differential equations. Zbl 1491.65068
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
A new computational method based on fractional Lagrange functions to solve multi-term fractional differential equations. Zbl 07401540
Delkhosh, Mehdi; Parand, Kourosh
2021
On the convergence of Krylov methods with low-rank truncations. Zbl 1482.65067
Palitta, Davide; Kürschner, Patrick
2021
Newton method for $$\ell_0$$-regularized optimization. Zbl 1482.65092
Zhou, Shenglong; Pan, Lili; Xiu, Naihua
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
Adaptive total variation and second-order total variation-based model for low-rank tensor completion. Zbl 1456.65029
Li, Xin; Huang, Ting-Zhu; Zhao, Xi-Le; Ji, Teng-Yu; Zheng, Yu-Bang; Deng, Liang-Jian
2021
A multiresolution algorithm to generate images of generalized fuzzy fractal attractors. Zbl 1459.28003
da Cunha, Rudnei D.; Oliveira, Elismar R.; Strobin, Filip
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
Superconvergence in $$H^1$$-norm of a difference finite element method for the heat equation in a 3D spatial domain with almost-uniform mesh. Zbl 1456.65065
Feng, Xinlong; He, Ruijian; Chen, Zhangxin
2021
Acceleration of automatic differentiation of solutions to parabolic partial differential equations: a higher order discretization. Zbl 1458.65132
2021
...and 1413 more Documents
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### Cited by 15,389 Authors

 141 Reichel, Lothar 130 Simos, Theodore E. 125 Argyros, Ioannis Konstantinos 121 Dehghan Takht Fooladi, Mehdi 73 Cordero, Alicia 73 Torregrosa Sanchez, Juan Ramón 71 Liu, Fawang 71 Mewomo, Oluwatosin Temitope 69 Kumam, Poom 68 Ma, Changfeng 66 Shehu, Yekini 62 Dang Van Hieu 60 Zhang, Guofeng 59 George, Santhosh 55 Jackiewicz, Zdzislaw 53 Jbilou, Khalide 51 Dương Việt Thông 48 Bhrawy, Ali Hassan 48 Brezinski, Claude 46 Benner, Peter 45 Wei, Yimin 44 Cho, Yeol Je 44 Cholamjiak, Prasit 43 Amat, Sergio P. 43 Dong, Qiaoli 43 Peña, Juan Manuel 43 Yao, Jen-Chih 42 Băleanu, Dumitru I. 42 Bultheel, Adhemar François 41 Sadok, Hassane 41 Soleymani, Fazlollah 40 Abdi, Ali 40 Behl, Ramandeep 40 D’Ambrosio, Raffaele 40 Hajarian, Masoud 40 Huang, Ting-Zhu 40 Jolaoso, Lateef Olakunle 40 Karageorghis, Andreas 40 Marcellán Español, Francisco 40 Turner, Ian William 38 Ramos, Higinio 38 Sharma, Janak Raj 38 Vong, Seakweng 37 Van Barel, Marc 36 Axelsson, Axel Owe Holger 36 Khojasteh Salkuyeh, Davod 36 Paternoster, Beatrice 35 Abbaszadeh, Mostafa 35 Izuchukwu, Chinedu 35 Kumar, Sunil 33 Chen, Ching-Shyang 33 Gibali, Aviv 33 Liang, Zhaozheng 33 Lu, Dawei 33 Mazure, Marie-Laurence 31 Chang, Shih-Sen 31 Hojjati, Gholamreza 31 Kheirfam, Behrouz 31 Magreñán, Ángel Alberto 31 Xu, Da 30 Doha, Eid H. 30 Redivo-Zaglia, Michela 30 Reich, Simeon 30 Suantai, Suthep 30 Zaky, Mahmoud A. 29 Martínez, Eulalia 29 Wu, Xinyuan 29 Wu, Yujiang 28 Abbasbandy, Saeid 28 Bai, Zhongzhi 28 González-Vera, Pablo 28 Huang, Chengming 28 Iyiola, Olaniyi Samuel 28 Li, Chaoqian 28 Sun, Zhizhong 28 Wu, Shiliang 27 Alolyan, Ibraheem 27 Gómez-Aguilar, José Francisco 27 Gu, Xian-Ming 27 Li, Hong 27 Liu, Yang 27 Rodriguez, Giuseppe 27 Weinmüller, Ewa B. 26 Abd-Elhameed, Waleed Mohamed 26 Li, Changpin 26 Milovanović, Gradimir V. 26 Petković, Miodrag S. 26 Stanimirović, Predrag S. 25 Bini, Dario Andrea 25 Chen, Ke 25 Huang, Zhengge 25 Ordokhani, Yadollah 24 Carnicer, Jésus Miguel 24 Fang, Yonglei 24 Gu, Chuanqing 24 Jiang, Yaolin 24 Kanwar, Vinay 24 Pan, Kejia 24 Trillo, Juan Carlos 24 Vandebril, Raf ...and 15,289 more Authors
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 1,223 Numerical Algorithms 1,219 Journal of Computational and Applied Mathematics 847 Applied Mathematics and Computation 612 Applied Numerical Mathematics 495 Computers & Mathematics with Applications 333 Journal of Computational Physics 318 Linear Algebra and its Applications 306 Computational and Applied Mathematics 289 International Journal of Computer Mathematics 280 Journal of Scientific Computing 211 Engineering Analysis with Boundary Elements 204 BIT 193 Journal of Mathematical Chemistry 190 SIAM Journal on Scientific Computing 159 Advances in Difference Equations 156 Journal of Inequalities and Applications 155 Computer Methods in Applied Mechanics and Engineering 154 Applied Mathematics Letters 150 Numerische Mathematik 146 Advances in Computational Mathematics 141 Mathematics of Computation 140 Mathematics and Computers in Simulation 137 Optimization 135 Mathematical Problems in Engineering 130 Calcolo 119 Abstract and Applied Analysis 109 Computational Optimization and Applications 108 SIAM Journal on Matrix Analysis and Applications 107 Applied Mathematical Modelling 105 International Journal of Applied and Computational Mathematics 103 Journal of Applied Mathematics and Computing 100 Journal of Approximation Theory 98 Numerical Functional Analysis and Optimization 97 Journal of Mathematical Analysis and Applications 94 Journal of Optimization Theory and Applications 94 Numerical Linear Algebra with Applications 83 Computer Aided Geometric Design 81 Communications in Nonlinear Science and Numerical Simulation 74 Chaos, Solitons and Fractals 72 SIAM Journal on Numerical Analysis 72 Inverse Problems in Science and Engineering 71 Optimization Letters 68 Fixed Point Theory and Applications 64 Journal of Global Optimization 62 Journal of Applied Mathematics 59 Mediterranean Journal of Mathematics 59 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 58 Filomat 57 Numerical Methods for Partial Differential Equations 55 Inverse Problems 54 Journal of Complexity 53 Nonlinear Dynamics 53 Optimization Methods & Software 53 Thai Journal of Mathematics 53 Advances in Applied Mathematics and Mechanics 52 East Asian Journal on Applied Mathematics 51 Journal of Function Spaces 50 ETNA. Electronic Transactions on Numerical Analysis 50 S$$\vec{\text{e}}$$MA Journal 48 Mathematical Methods in the Applied Sciences 48 Journal of Fixed Point Theory and Applications 47 Applicable Analysis 46 Linear and Multilinear Algebra 46 Journal of Symbolic Computation 45 AIMS Mathematics 44 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 44 Journal of Nonlinear Science and Applications 43 International Journal for Numerical Methods in Engineering 43 Results in Mathematics 43 Journal of Industrial and Management Optimization 41 Japan Journal of Industrial and Applied Mathematics 40 Computers and Fluids 39 Applied and Computational Harmonic Analysis 38 Fractional Calculus & Applied Analysis 37 Mathematical Sciences 36 Computing 36 International Journal of Computational Methods 35 Afrika Matematika 34 SIAM Journal on Optimization 34 Mathematical Modelling and Analysis 33 Journal of the Franklin Institute 33 Mathematical Programming. Series A. Series B 33 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 33 Journal of Applied Analysis and Computation 32 Constructive Approximation 32 Journal of Difference Equations and Applications 31 Automatica 31 Acta Applicandae Mathematicae 30 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 30 Boundary Value Problems 30 Communications in Computational Physics 29 Computer Physics Communications 28 Mathematical and Computer Modelling 28 Integral Transforms and Special Functions 28 Discrete and Continuous Dynamical Systems. Series B 28 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 28 Numerical Algebra, Control and Optimization 27 Computational Methods in Applied Mathematics 27 Computational Methods for Differential Equations 26 Rendiconti del Circolo Matemàtico di Palermo. Serie II ...and 629 more Journals
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