Numerical Algorithms

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Top Articles

#	Title	Journal	Year	Citations
1	REGULARIZATION TOOLS: A Matlab package for analysis and solution of discrete ill-posed problems	Numerical Algorithms	1994	1,281
2	A multiprojection algorithm using Bregman projections in a product space	Numerical Algorithms	1994	997
3	Detailed Error Analysis for a Fractional Adams Method	Numerical Algorithms	2004	724
4	Numerical integration using sparse grids	Numerical Algorithms	1998	720
5	Regularization Tools version 4.0 for Matlab 7.3	Numerical Algorithms	2007	602
6	On choosing “optimal” shape parameters for RBF approximation	Numerical Algorithms	2007	462
7	Algorithms for the Split Variational Inequality Problem	Numerical Algorithms	2012	427
8	Numerical differentiation with annihilators in noisy environment	Numerical Algorithms	2009	298
9	Affine Arithmetic: Concepts and Applications	Numerical Algorithms	2004	269
10	Stochastic Approaches to Uncertainty Quantification in CFD Simulations	Numerical Algorithms	2005	209
11	On preconditioned MHSS iteration methods for complex symmetric linear systems	Numerical Algorithms	2011	203
12	The numerical solution of fractional differential equations: Speed versus accuracy	Numerical Algorithms	2001	200
13	A modified Newton-Jarratt’s composition	Numerical Algorithms	2010	186
14	Algorithms and software for total variation image reconstruction via first-order methods	Numerical Algorithms	2010	184
15	A rational Lanczos algorithm for model reduction	Numerical Algorithms	1996	164
16	Iterative Methods for Image Deblurring: A Matlab Object-Oriented Approach	Numerical Algorithms	2004	152
17	Old and new parameter choice rules for discrete ill-posed problems	Numerical Algorithms	2013	149
18	Remarks around 50 lines of Matlab: short finite element implementation	Numerical Algorithms	1999	148
19	Stable iterations for the matrix square root	Numerical Algorithms	1997	147
20	Numerical solution of fractional order differential equations by extrapolation	Numerical Algorithms	1997	146
21	An efficient fourth order weighted-Newton method for systems of nonlinear equations	Numerical Algorithms	2013	142
22	An optimized two-step hybrid block method for solving general second order initial-value problems	Numerical Algorithms	2016	140
23	Design, analysis, and implementation of a multiprecision polynomial rootfinder	Numerical Algorithms	2000	139
24	Deconvolution and Regularization with Toeplitz Matrices	Numerical Algorithms	2002	134
25	On choosing the location of the sources in the MFS	Numerical Algorithms	2016	133
26	A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations	Numerical Algorithms	2017	133
27	Model reduction of state space systems via an implicitly restarted Lanczos method	Numerical Algorithms	1996	129
28	Effects of thermal radiation on the boundary layer flow of a Jeffrey fluid over an exponentially stretching surface	Numerical Algorithms	2011	129
29	A Modified Low-Rank Smith Method for Large-Scale Lyapunov Equations	Numerical Algorithms	2003	126
30	Nonautonomous systems, cocycle attractors and variable time-step discretization	Numerical Algorithms	1997	123
31	Two-step modulus-based matrix splitting iteration method for linear complementarity problems	Numerical Algorithms	2011	123
32	Accelerated modulus-based matrix splitting iteration methods for linear complementarity problem	Numerical Algorithms	2013	123
33	AIR Tools II: algebraic iterative reconstruction methods, improved implementation	Numerical Algorithms	2018	123
34	Automatic Control and Adaptive Time-Stepping	Numerical Algorithms	2002	121
35	Stochastic approaches to uncertainty quantification in CFD simulations	Numerical Algorithms	2005	119
36	Two finite difference schemes for time fractional diffusion-wave equation	Numerical Algorithms	2013	119
37	Numerical approximations and solution techniques for the space-time Riesz–Caputo fractional advection-diffusion equation	Numerical Algorithms	2011	118
38	BiCGstab(l) and other hybrid Bi-CG methods	Numerical Algorithms	1994	117
39	Nonlinear multiscale decompositions: The approach of A. Harten	Numerical Algorithms	2000	116
40	Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems	Numerical Algorithms	2013	116
41	A review of Bandlet methods for geometrical image representation	Numerical Algorithms	2007	115
42	Review of inverse Laplace transform algorithms for Laplace-space numerical approaches	Numerical Algorithms	2013	114
43	Zero Dissipative, Explicit Numerov-Type Methods for Second Order IVPs with Oscillating Solutions	Numerical Algorithms	2003	113
44	Modified subgradient extragradient method for variational inequality problems	Numerical Algorithms	2018	108
45	Solving stable generalized Lyapunov equations with the matrix sign function	Numerical Algorithms	1999	107
46	An inertial forward-backward-forward primal-dual splitting algorithm for solving monotone inclusion problems	Numerical Algorithms	2016	107
47	A comparison of iterative methods to solve complex valued linear algebraic systems	Numerical Algorithms	2014	106
48	Numerical computation of real or complex elliptic integrals	Numerical Algorithms	1995	104
49	Continuous and discrete Zhang dynamics for real-time varying nonlinear optimization	Numerical Algorithms	2016	104
50	On explicit two-derivative Runge-Kutta methods	Numerical Algorithms	2010	103

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