Edit Profile (opens in new tab) Neta, Beny Co-Author Distance Author ID: neta.beny Published as: Neta, Beny; Neta, B. Documents Indexed: 119 Publications since 1977, including 2 Books 1 Contribution as Editor Co-Authors: 44 Co-Authors with 96 Joint Publications 990 Co-Co-Authors all top 5 Co-Authors 22 single-authored 33 Chun, Changbum 9 Givoli, Dan 9 Jangveladze, Temur A. 9 Kiguradze, Zurab V. 9 Scott, Melvin R. 7 Kim, Young Ik 6 Giraldo, Francis X. 6 Petković, Miodrag S. 5 Geum, Young Hee 5 van Joolen, Vince J. 4 Džunić, Jovana 4 Petković, Ljiljana D. 4 Victory, Harold Dean jun. 3 Lindquist, Joseph M. 2 Chawla, Man M. 2 Dea, John R. 2 Johnson, Anthony N. 2 Katti, C. P. 2 Navon, Ionel Michael 1 Bae, Hwa Ju 1 Barr, Donald R. 1 Cheng, Lizhi 1 DeVito, Carl L. 1 Fix, George J. 1 Ford, C. H. 1 Gordis, Joshua H. 1 Gragg, William B. 1 Igwe, Jerome O. 1 Khalsaraei, Mohammad Mehdizadeh 1 Kozdon, Jeremy Edward 1 Kratsashvili, Maia 1 Lee, Miyoung 1 Lee, Sang Deok 1 Lee, Shenn Chuh 1 Li, Shengguo 1 Patlashenko, Igor 1 Petković, Ivan M. 1 Reich, Simeon 1 Rhee, Min Surp 1 Sommeijer, Ben P. 1 Stănică, Pantelimon 1 Tai, Hengming 1 van der Houwen, Pieter J. 1 Williams, Ronald T. all top 5 Serials 35 Applied Mathematics and Computation 18 Computers & Mathematics with Applications 9 International Journal of Computer Mathematics 8 Journal of Computational and Applied Mathematics 3 Journal of Computational Physics 3 Journal of Mathematical Analysis and Applications 3 Wave Motion 3 Mathematics and Computers in Simulation 3 Numerical Algorithms 2 International Journal for Numerical Methods in Engineering 2 Numerical Functional Analysis and Optimization 2 Applied Numerical Mathematics 2 Georgian Mathematical Journal 2 Journal of Numerical Analysis and Approximation Theory 1 Computers and Fluids 1 International Journal for Numerical Methods in Fluids 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Computing 1 SIAM Journal on Numerical Analysis 1 SIAM Journal on Scientific and Statistical Computing 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of Integral Equations and Applications 1 Communications in Numerical Methods in Engineering 1 International Journal of Computational Fluid Dynamics 1 Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics 1 Journal of Computational Methods in Sciences and Engineering 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 1 Applicable Analysis and Discrete Mathematics 1 TWMS Journal of Pure and Applied Mathematics 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Applied Analysis and Computation all top 5 Fields 108 Numerical analysis (65-XX) 19 Integral equations (45-XX) 15 Fluid mechanics (76-XX) 13 Ordinary differential equations (34-XX) 11 Partial differential equations (35-XX) 4 Real functions (26-XX) 3 Approximations and expansions (41-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Geophysics (86-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 103 Publications have been cited 2,388 times in 918 Documents Cited by ▼ Year ▼ Multipoint methods for solving nonlinear equations. Zbl 1286.65060 Petković, Miodrag S.; Neta, Beny; Petković, Ljiljana D.; Džunić, Jovana 222 2013 Basin attractors for various methods. Zbl 1478.65037 Scott, Melvin; Neta, Beny; Chun, Changbum 112 2011 On optimal fourth-order iterative methods free from second derivative and their dynamics. Zbl 1277.65031 Chun, Changbum; Lee, Mi Young; Neta, Beny; Džunić, Jovana 99 2012 Two-step fourth-order \(P\)-stable methods with phase-lag of order six for \(y''=f(t,y)\). Zbl 0596.65047 Chawla, M. M.; Rao, P. S.; Neta, Beny 90 1986 Basins of attraction for several methods to find simple roots of nonlinear equations. Zbl 1250.65067 Neta, Beny; Scott, Melvin; Chun, Changbum 77 2012 High-order non-reflecting boundary scheme for time-dependent waves. Zbl 1025.65049 Givoli, Dan; Neta, Beny 76 2003 Families of two-step fourth order \(P\)-stable methods for second order differential equations. Zbl 0599.65044 Chawla, M. M.; Neta, Beny 65 1986 Some fourth-order nonlinear solvers with closed formulae for multiple roots. Zbl 1189.65093 Li, S. G.; Cheng, L. Z.; Neta, B. 62 2010 Basin attractors for various methods for multiple roots. Zbl 1244.65068 Neta, Beny; Scott, Melvin; Chun, Changbum 61 2012 Basins of attraction for optimal eighth order methods to find simple roots of nonlinear equations. Zbl 1364.65110 Neta, Beny; Chun, Changbum; Scott, Melvin 57 2014 High-order nonlinear solver for multiple roots. Zbl 1142.65044 Neta, B.; Johnson, Anthony N. 55 2008 A higher order method for multiple zeros of nonlinear functions. Zbl 0499.65026 Victory, H. D. jun.; Neta, B. 52 1983 P-stable high-order super-implicit and Obrechkoff methods for periodic initial value problems. Zbl 1127.65049 Neta, Beny 51 2007 Extension of Murakami’s high-order non-linear solver to multiple roots. Zbl 1192.65052 Neta, B. 49 2010 New third order nonlinear solvers for multiple roots. Zbl 1151.65041 Neta, B. 49 2008 A sixth-order family of methods for nonlinear equations. Zbl 0397.65032 Neta, Beny 48 1979 On a family of multipoint methods for non-linear equations. Zbl 0466.65027 Neta, Beny 48 1981 Multipoint methods for solving nonlinear equations: a survey. Zbl 1354.65096 Petković, Miodrag S.; Neta, Beny; Petković, Ljiljana D.; Džunić, Jovana 47 2014 A third-order modification of Newton’s method for multiple roots. Zbl 1162.65342 Chun, Changbum; Neta, Beny 46 2009 A new family of higher order methods for solving equations. Zbl 0514.65029 Neta, B. 44 1983 High-order non-reflecting boundary conditions for dispersive waves. Zbl 1163.74357 Givoli, Dan; Neta, Beny 36 2003 Construction of optimal order nonlinear solvers using inverse interpolation. Zbl 1202.65062 Neta, B.; Petković, M. S. 36 2010 Choosing weight functions in iterative methods for simple roots. Zbl 1364.65109 Chun, Changbum; Neta, Beny; Kozdon, Jeremy; Scott, Melvin 33 2014 New families of nonlinear third-order solvers for finding multiple roots. Zbl 1186.65060 Chun, Changbum; Bae, Hwa Ju; Neta, Beny 33 2009 Third-order family of methods in Banach spaces. Zbl 1217.65101 Chun, Changbum; Stănică, Pantelimon; Neta, Beny 33 2011 Basins of attraction for several optimal fourth order methods for multiple roots. Zbl 1533.65072 Neta, Beny; Chun, Changbum 30 2014 Basins of attraction for Zhou-Chen-Song fourth order family of methods for multiple roots. Zbl 1540.65147 Chun, Changbum; Neta, Beny 27 2015 A sixth-order family of three-point modified Newton-like multiple-root finders and the dynamics behind their extraneous fixed points. Zbl 1410.65160 Geum, Young Hee; Kim, Young Ik; Neta, Beny 27 2016 On a family of Laguerre methods to find multiple roots of nonlinear equations. Zbl 1302.65132 Neta, Beny; Chun, Changbum 26 2013 A class of two-point sixth-order multiple-zero finders of modified double-Newton type and their dynamics. Zbl 1410.65159 Geum, Young Hee; Kim, Young Ik; Neta, Beny 26 2015 Finite element analysis of time-dependent semi-infinite wave-guides with high-order boundary treatment. Zbl 1034.78014 Givoli, Dan; Neta, Beny; Patlashenko, Igor 24 2003 An analysis of a new family of eighth-order optimal methods. Zbl 1336.65081 Chun, Changbum; Neta, Beny 24 2014 Comparative study of eighth-order methods for finding simple roots of nonlinear equations. Zbl 1362.65054 Chun, Changbum; Neta, Beny 20 2017 Finite difference approximation of a nonlinear integro-differential system. Zbl 1179.65162 Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny 20 2009 Numerical solution of a nonlinear integro-differential equation. Zbl 0488.65074 Neta, Beny 20 1982 Families of methods for ordinary differential equations based on trigonometric polynomials. Zbl 0529.65050 Neta, B.; Ford, C. H. 19 1984 Interpolatory multipoint methods with memory for solving nonlinear equations. Zbl 1243.65054 Petković, Miodrag S.; Džunić, Jovana; Neta, Beny 19 2011 Finite differences versus finite elements for solving nonlinear integro- differential equations. Zbl 0625.65145 Neta, Beny; Igwe, Jerome O. 18 1985 Large time behavior of solutions and finite difference scheme to a nonlinear integro-differential equation. Zbl 1186.45013 Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny 18 2009 On developing a higher-order family of double-Newton methods with a bivariate weighting function. Zbl 1410.65158 Geum, Young Hee; Kim, Young Ik; Neta, Beny 18 2015 High-order nonreflecting boundary conditions for the dispersive shallow water equations. Zbl 1107.76377 Givoli, Dan; Neta, Beny 17 2003 Galerkin finite element method for one nonlinear integro-differential model. Zbl 1216.65183 Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny 17 2011 Comparison of several families of optimal eighth order methods. Zbl 1410.65152 Chun, Changbum; Neta, Beny 17 2016 Obrechkoff versus super-implicit methods for the solution of first- and second-order initial value problems. Zbl 1035.65072 Neta, B.; Fukushima, T. 16 2003 High-order Higdon-like boundary conditions for exterior transient wave problems. Zbl 1088.65081 van Joolen, Vince J.; Neta, Beny; Givoli, Dan 16 2005 \(P\)-stable symmetric super-implicit methods for periodic initial value problems. Zbl 1086.65067 Neta, B. 16 2005 Application of high-order Higdon non-reflecting boundary conditions to linear shallow water models. Zbl 1153.76047 Neta, Beny; van Joolen, Vince; Dea, John R.; Givoli, Dan 15 2008 Some modification of Newton’s method by the method of undetermined coefficients. Zbl 1165.65343 Chun, Changbum; Neta, Beny 15 2008 Constructing a family of optimal eighth-order modified Newton-type multiple-zero finders along with the dynamics behind their purely imaginary extraneous fixed points. Zbl 1380.65090 Geum, Young Hee; Kim, Young Ik; Neta, Beny 14 2018 On the development of iterative methods for multiple roots. Zbl 1334.65087 Neta, Beny; Chun, Changbum; Scott, Melvin 13 2013 Large time asymptotic and numerical solution of a nonlinear diffusion model with memory. Zbl 1189.65195 Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny 13 2010 A new sixth-order scheme for nonlinear equations. Zbl 1260.65048 Chun, Changbum; Neta, Beny 13 2012 A spectral element solution of the Klein-Gordon equation with high-order treatment of time and non-reflecting boundary. Zbl 1231.76158 Lindquist, Joseph M.; Neta, Beny; Giraldo, Francis X. 13 2010 Large time behavior of solutions to a nonlinear integro-differential system. Zbl 1172.35330 Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny 12 2009 The basins of attraction of Murakami’s fifth order family of methods. Zbl 1351.65028 Chun, Changbum; Neta, Beny 12 2016 An analysis of a family of Maheshwari-based optimal eighth order methods. Zbl 1338.65127 Chun, Changbum; Neta, Beny 11 2015 Several new methods for solving equations. Zbl 0661.65048 Neta, Beny 10 1988 A new fourth-order finite-difference method for solving discrete- ordinates slab transport equations. Zbl 0519.65093 Neta, Beny; Victory, H. D. jun. 10 1983 High-order non-reflecting boundary conditions for the linearized 2-D Euler equations: no mean flow case. Zbl 1231.76066 Dea, John R.; Giraldo, Francis X.; Neta, Beny 10 2009 Certain improvements of Newton’s method with fourth-order convergence. Zbl 1192.65049 Chun, Changbum; Neta, Beny 10 2009 Comparing the basins of attraction for Kanwar-Bhatia-Kansal family to the best fourth order method. Zbl 1410.65150 Chun, Changbum; Neta, Beny 10 2015 Basins of attraction for several third order methods to find multiple roots of nonlinear equations. Zbl 1410.65151 Chun, Changbum; Neta, Beny 10 2015 Analysis of the Turkel-Zwas scheme for the two-dimensional shallow water equations in spherical coordinates. Zbl 0883.76060 Neta, B.; Giraldo, F. X.; Navon, I. M. 9 1997 On an application of symbolic computation and computer graphics to root-finders: the case of multiple roots of unknown multiplicity. Zbl 1346.65022 Petković, Ivan; Neta, Beny 9 2016 Symmetric linear multistep methods for second-order differential equations with periodic solutions. Zbl 0596.65046 Sommeijer, B. P.; van der Houwen, P. J.; Neta, B. 8 1986 Families of backward differentiation methods based on trigonometric polynomials. Zbl 0653.65056 Neta, Beny 8 1986 The convergence analysis of sixth-order methods for solving discrete- ordinates slab transport equations. Zbl 0519.65092 Neta, Beny; Victory, H. D. jun. 8 1982 High-order non-reflecting boundary conditions for dispersive waves in Cartesian, cylindrical and spherical coordinate systems. Zbl 1043.76524 van Joolen, Vince; Givoli, Dan; Neta, Beny 8 2003 High order nonlinear solver. Zbl 1168.65345 Neta, B.; Johnson, Anthony N. 8 2008 A family of optimal quartic-order multiple-zero finders with a weight function of the principal \(k\)th root of a derivative-to-derivative ratio and their basins of attraction. Zbl 1540.65151 Geum, Young Hee; Kim, Young Ik; Neta, Beny 7 2017 Comparative study of methods of various orders for finding repeated roots of nonlinear equations. Zbl 1432.65059 Chun, Changbum; Neta, Beny 7 2018 On the new family of optimal eighth order methods developed by Lotfi et al. Zbl 1386.65137 Chun, Changbum; Neta, Beny 7 2016 Finite element approximations of a nonlinear diffusion model with memory. Zbl 1276.65094 Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny; Reich, Simeon 7 2013 Klein-Gordon equation with advection on unbounded domains using spectral elements and high-order non-reflecting boundary conditions. Zbl 1342.76019 Lindquist, Joseph M.; Giraldo, Francis X.; Neta, Beny 7 2010 Numerical solutions of three classes of nonlinear parabolic integro-differential equations. Zbl 1339.35002 Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny 6 2015 On a family of Halley-like methods to find simple roots of nonlinear equations. Zbl 1288.65066 Neta, Beny; Scott, Melvin 6 2013 Finite element approximation of a nonlinear parabolic problem. Zbl 0397.65073 Neta, B. 6 1978 A stratified dispersive wave model withhigh-order nonreflecting boundary conditions. Zbl 1142.76428 Van Joolen, V.; Neta, B.; Givoli, D. 6 2004 Stability analysis for Eulerian and semi-Lagrangian finite-element formulation of the advection-diffusion equation. Zbl 0937.65099 Giraldo, F. X.; Neta, B. 5 1999 Analysis of the Turkel-Zwas scheme for the shallow-water equations. Zbl 0669.76037 Neta, B.; Navon, I. M. 5 1989 On Popovski’s method for nonlinear equations. Zbl 1155.65337 Neta, B. 5 2008 Finite element approximation of a nonlinear diffusion problem. Zbl 0397.65074 Fix, G. J.; Neta, B. 5 1977 Developing high order methods for the solution of systems of nonlinear equations. Zbl 1429.65106 Chun, Changbum; Neta, Beny 5 2019 Comparative study of methods of various orders for finding simple roots of nonlinear equations. Zbl 07334209 Chun, Changbum; Neta, Beny 4 2019 An adaptive method for the numerical solution of Fredholm integral equations of the second kind. I. Regular kernels. Zbl 0629.65136 Neta, Beny; Nelson, Paul 4 1987 An efficient derivative-free method for the solution of systems of equations. Zbl 07379887 Chun, Changbum; Neta, Beny 4 2021 Stability and phase speed for various finite element formulations of the advection equation. Zbl 0613.76099 Neta, Beny; Williams, R. T. 3 1986 An optimal family of eighth-order simple-root finders with weight functions dependent on function-to-function ratios and their dynamics underlying extraneous fixed points. Zbl 1357.65059 Lee, Sang Deok; Kim, Young Ik; Neta, Beny 3 2017 A note on the modified super-Halley method. Zbl 1245.65056 Neta, Beny; Chun, Changbum; Scott, Melvin 3 2012 High-order boundary conditions for linearized shallow water equations with stratification, dispersion and advection. Zbl 1112.76011 van Joolen, Vince J.; Neta, Beny; Givoli, Dan 3 2004 LU factorization on parallel computers. Zbl 0581.65019 Neta, Beny; Tai, Heng-Ming 2 1985 On optimal parameter of Laguerre’s family of zero-finding methods. Zbl 1499.65177 Petković, L. D.; Petković, M. S.; Neta, B. 2 2019 Solution of linear systems of ordinary differential equations on an INTEL hypercube. Zbl 0744.65047 Lustman, L.; Neta, B.; Katti, C. P. 1 1991 An optimal eighth-order class of three-step weighted Newton’s methods and their dynamics behind the purely imaginary extraneous fixed points. Zbl 1499.65179 Rhee, Min Surp; Kim, Young Ik; Neta, Beny 1 2018 On generalized Halley-like methods for solving nonlinear equations. Zbl 1513.65141 Petković, Miodrag S.; Petković, Ljiljana; Neta, Beny 1 2019 Special methods for problems whose oscillatory solution is damped. Zbl 0671.65049 Neta, Beny 1 1989 The transfer function analysis of various schemes for the two-dimensional shallow-water equations. Zbl 0647.76011 Neta, B.; DeVito, C. L. 1 1988 An adaptive method for the numerical solution of Volterra integral equations. Zbl 1042.65107 Gordis, Joshua H.; Neta, Beny 1 2000 How good are methods with memory for the solution of nonlinear equations? Zbl 1380.65088 Chun, Changbum; Neta, Beny 1 2017 An analysis of a Khattri’s 4th order family of methods. Zbl 1410.65153 Chun, Changbum; Neta, Beny 1 2016 Numerical solution for a nonlinear diffusion model with source terms. Zbl 1526.65038 Jangveladze, Temur; Kiguradze, Zurab; Kratsashvili, Maia; Neta, Beny 1 2023 An efficient derivative-free method for the solution of systems of equations. Zbl 07379887 Chun, Changbum; Neta, Beny 4 2021 Developing high order methods for the solution of systems of nonlinear equations. Zbl 1429.65106 Chun, Changbum; Neta, Beny 5 2019 Comparative study of methods of various orders for finding simple roots of nonlinear equations. Zbl 07334209 Chun, Changbum; Neta, Beny 4 2019 On optimal parameter of Laguerre’s family of zero-finding methods. Zbl 1499.65177 Petković, L. D.; Petković, M. S.; Neta, B. 2 2019 On generalized Halley-like methods for solving nonlinear equations. Zbl 1513.65141 Petković, Miodrag S.; Petković, Ljiljana; Neta, Beny 1 2019 Constructing a family of optimal eighth-order modified Newton-type multiple-zero finders along with the dynamics behind their purely imaginary extraneous fixed points. Zbl 1380.65090 Geum, Young Hee; Kim, Young Ik; Neta, Beny 14 2018 Comparative study of methods of various orders for finding repeated roots of nonlinear equations. Zbl 1432.65059 Chun, Changbum; Neta, Beny 7 2018 An optimal eighth-order class of three-step weighted Newton’s methods and their dynamics behind the purely imaginary extraneous fixed points. Zbl 1499.65179 Rhee, Min Surp; Kim, Young Ik; Neta, Beny 1 2018 Comparative study of eighth-order methods for finding simple roots of nonlinear equations. Zbl 1362.65054 Chun, Changbum; Neta, Beny 20 2017 A family of optimal quartic-order multiple-zero finders with a weight function of the principal \(k\)th root of a derivative-to-derivative ratio and their basins of attraction. Zbl 1540.65151 Geum, Young Hee; Kim, Young Ik; Neta, Beny 7 2017 An optimal family of eighth-order simple-root finders with weight functions dependent on function-to-function ratios and their dynamics underlying extraneous fixed points. Zbl 1357.65059 Lee, Sang Deok; Kim, Young Ik; Neta, Beny 3 2017 How good are methods with memory for the solution of nonlinear equations? Zbl 1380.65088 Chun, Changbum; Neta, Beny 1 2017 A sixth-order family of three-point modified Newton-like multiple-root finders and the dynamics behind their extraneous fixed points. Zbl 1410.65160 Geum, Young Hee; Kim, Young Ik; Neta, Beny 27 2016 Comparison of several families of optimal eighth order methods. Zbl 1410.65152 Chun, Changbum; Neta, Beny 17 2016 The basins of attraction of Murakami’s fifth order family of methods. Zbl 1351.65028 Chun, Changbum; Neta, Beny 12 2016 On an application of symbolic computation and computer graphics to root-finders: the case of multiple roots of unknown multiplicity. Zbl 1346.65022 Petković, Ivan; Neta, Beny 9 2016 On the new family of optimal eighth order methods developed by Lotfi et al. Zbl 1386.65137 Chun, Changbum; Neta, Beny 7 2016 An analysis of a Khattri’s 4th order family of methods. Zbl 1410.65153 Chun, Changbum; Neta, Beny 1 2016 Basins of attraction for Zhou-Chen-Song fourth order family of methods for multiple roots. Zbl 1540.65147 Chun, Changbum; Neta, Beny 27 2015 A class of two-point sixth-order multiple-zero finders of modified double-Newton type and their dynamics. Zbl 1410.65159 Geum, Young Hee; Kim, Young Ik; Neta, Beny 26 2015 On developing a higher-order family of double-Newton methods with a bivariate weighting function. Zbl 1410.65158 Geum, Young Hee; Kim, Young Ik; Neta, Beny 18 2015 An analysis of a family of Maheshwari-based optimal eighth order methods. Zbl 1338.65127 Chun, Changbum; Neta, Beny 11 2015 Comparing the basins of attraction for Kanwar-Bhatia-Kansal family to the best fourth order method. Zbl 1410.65150 Chun, Changbum; Neta, Beny 10 2015 Basins of attraction for several third order methods to find multiple roots of nonlinear equations. Zbl 1410.65151 Chun, Changbum; Neta, Beny 10 2015 Numerical solutions of three classes of nonlinear parabolic integro-differential equations. Zbl 1339.35002 Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny 6 2015 Basins of attraction for optimal eighth order methods to find simple roots of nonlinear equations. Zbl 1364.65110 Neta, Beny; Chun, Changbum; Scott, Melvin 57 2014 Multipoint methods for solving nonlinear equations: a survey. Zbl 1354.65096 Petković, Miodrag S.; Neta, Beny; Petković, Ljiljana D.; Džunić, Jovana 47 2014 Choosing weight functions in iterative methods for simple roots. Zbl 1364.65109 Chun, Changbum; Neta, Beny; Kozdon, Jeremy; Scott, Melvin 33 2014 Basins of attraction for several optimal fourth order methods for multiple roots. Zbl 1533.65072 Neta, Beny; Chun, Changbum 30 2014 An analysis of a new family of eighth-order optimal methods. Zbl 1336.65081 Chun, Changbum; Neta, Beny 24 2014 Multipoint methods for solving nonlinear equations. Zbl 1286.65060 Petković, Miodrag S.; Neta, Beny; Petković, Ljiljana D.; Džunić, Jovana 222 2013 On a family of Laguerre methods to find multiple roots of nonlinear equations. Zbl 1302.65132 Neta, Beny; Chun, Changbum 26 2013 On the development of iterative methods for multiple roots. Zbl 1334.65087 Neta, Beny; Chun, Changbum; Scott, Melvin 13 2013 Finite element approximations of a nonlinear diffusion model with memory. Zbl 1276.65094 Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny; Reich, Simeon 7 2013 On a family of Halley-like methods to find simple roots of nonlinear equations. Zbl 1288.65066 Neta, Beny; Scott, Melvin 6 2013 On optimal fourth-order iterative methods free from second derivative and their dynamics. Zbl 1277.65031 Chun, Changbum; Lee, Mi Young; Neta, Beny; Džunić, Jovana 99 2012 Basins of attraction for several methods to find simple roots of nonlinear equations. Zbl 1250.65067 Neta, Beny; Scott, Melvin; Chun, Changbum 77 2012 Basin attractors for various methods for multiple roots. Zbl 1244.65068 Neta, Beny; Scott, Melvin; Chun, Changbum 61 2012 A new sixth-order scheme for nonlinear equations. Zbl 1260.65048 Chun, Changbum; Neta, Beny 13 2012 A note on the modified super-Halley method. Zbl 1245.65056 Neta, Beny; Chun, Changbum; Scott, Melvin 3 2012 Basin attractors for various methods. Zbl 1478.65037 Scott, Melvin; Neta, Beny; Chun, Changbum 112 2011 Third-order family of methods in Banach spaces. Zbl 1217.65101 Chun, Changbum; Stănică, Pantelimon; Neta, Beny 33 2011 Interpolatory multipoint methods with memory for solving nonlinear equations. Zbl 1243.65054 Petković, Miodrag S.; Džunić, Jovana; Neta, Beny 19 2011 Galerkin finite element method for one nonlinear integro-differential model. Zbl 1216.65183 Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny 17 2011 Some fourth-order nonlinear solvers with closed formulae for multiple roots. Zbl 1189.65093 Li, S. G.; Cheng, L. Z.; Neta, B. 62 2010 Extension of Murakami’s high-order non-linear solver to multiple roots. Zbl 1192.65052 Neta, B. 49 2010 Construction of optimal order nonlinear solvers using inverse interpolation. Zbl 1202.65062 Neta, B.; Petković, M. S. 36 2010 Large time asymptotic and numerical solution of a nonlinear diffusion model with memory. Zbl 1189.65195 Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny 13 2010 A spectral element solution of the Klein-Gordon equation with high-order treatment of time and non-reflecting boundary. Zbl 1231.76158 Lindquist, Joseph M.; Neta, Beny; Giraldo, Francis X. 13 2010 Klein-Gordon equation with advection on unbounded domains using spectral elements and high-order non-reflecting boundary conditions. Zbl 1342.76019 Lindquist, Joseph M.; Giraldo, Francis X.; Neta, Beny 7 2010 A third-order modification of Newton’s method for multiple roots. Zbl 1162.65342 Chun, Changbum; Neta, Beny 46 2009 New families of nonlinear third-order solvers for finding multiple roots. Zbl 1186.65060 Chun, Changbum; Bae, Hwa Ju; Neta, Beny 33 2009 Finite difference approximation of a nonlinear integro-differential system. Zbl 1179.65162 Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny 20 2009 Large time behavior of solutions and finite difference scheme to a nonlinear integro-differential equation. Zbl 1186.45013 Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny 18 2009 Large time behavior of solutions to a nonlinear integro-differential system. Zbl 1172.35330 Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny 12 2009 High-order non-reflecting boundary conditions for the linearized 2-D Euler equations: no mean flow case. Zbl 1231.76066 Dea, John R.; Giraldo, Francis X.; Neta, Beny 10 2009 Certain improvements of Newton’s method with fourth-order convergence. Zbl 1192.65049 Chun, Changbum; Neta, Beny 10 2009 High-order nonlinear solver for multiple roots. Zbl 1142.65044 Neta, B.; Johnson, Anthony N. 55 2008 New third order nonlinear solvers for multiple roots. Zbl 1151.65041 Neta, B. 49 2008 Application of high-order Higdon non-reflecting boundary conditions to linear shallow water models. Zbl 1153.76047 Neta, Beny; van Joolen, Vince; Dea, John R.; Givoli, Dan 15 2008 Some modification of Newton’s method by the method of undetermined coefficients. Zbl 1165.65343 Chun, Changbum; Neta, Beny 15 2008 High order nonlinear solver. Zbl 1168.65345 Neta, B.; Johnson, Anthony N. 8 2008 On Popovski’s method for nonlinear equations. Zbl 1155.65337 Neta, B. 5 2008 P-stable high-order super-implicit and Obrechkoff methods for periodic initial value problems. Zbl 1127.65049 Neta, Beny 51 2007 High-order Higdon-like boundary conditions for exterior transient wave problems. Zbl 1088.65081 van Joolen, Vince J.; Neta, Beny; Givoli, Dan 16 2005 \(P\)-stable symmetric super-implicit methods for periodic initial value problems. Zbl 1086.65067 Neta, B. 16 2005 A stratified dispersive wave model withhigh-order nonreflecting boundary conditions. Zbl 1142.76428 Van Joolen, V.; Neta, B.; Givoli, D. 6 2004 High-order boundary conditions for linearized shallow water equations with stratification, dispersion and advection. Zbl 1112.76011 van Joolen, Vince J.; Neta, Beny; Givoli, Dan 3 2004 High-order non-reflecting boundary scheme for time-dependent waves. Zbl 1025.65049 Givoli, Dan; Neta, Beny 76 2003 High-order non-reflecting boundary conditions for dispersive waves. Zbl 1163.74357 Givoli, Dan; Neta, Beny 36 2003 Finite element analysis of time-dependent semi-infinite wave-guides with high-order boundary treatment. Zbl 1034.78014 Givoli, Dan; Neta, Beny; Patlashenko, Igor 24 2003 High-order nonreflecting boundary conditions for the dispersive shallow water equations. Zbl 1107.76377 Givoli, Dan; Neta, Beny 17 2003 Obrechkoff versus super-implicit methods for the solution of first- and second-order initial value problems. Zbl 1035.65072 Neta, B.; Fukushima, T. 16 2003 High-order non-reflecting boundary conditions for dispersive waves in Cartesian, cylindrical and spherical coordinate systems. Zbl 1043.76524 van Joolen, Vince; Givoli, Dan; Neta, Beny 8 2003 An adaptive method for the numerical solution of Volterra integral equations. Zbl 1042.65107 Gordis, Joshua H.; Neta, Beny 1 2000 Stability analysis for Eulerian and semi-Lagrangian finite-element formulation of the advection-diffusion equation. Zbl 0937.65099 Giraldo, F. X.; Neta, B. 5 1999 Analysis of the Turkel-Zwas scheme for the two-dimensional shallow water equations in spherical coordinates. Zbl 0883.76060 Neta, B.; Giraldo, F. X.; Navon, I. M. 9 1997 Solution of linear systems of ordinary differential equations on an INTEL hypercube. Zbl 0744.65047 Lustman, L.; Neta, B.; Katti, C. P. 1 1991 Analysis of the Turkel-Zwas scheme for the shallow-water equations. Zbl 0669.76037 Neta, B.; Navon, I. M. 5 1989 Special methods for problems whose oscillatory solution is damped. Zbl 0671.65049 Neta, Beny 1 1989 Several new methods for solving equations. Zbl 0661.65048 Neta, Beny 10 1988 The transfer function analysis of various schemes for the two-dimensional shallow-water equations. Zbl 0647.76011 Neta, B.; DeVito, C. L. 1 1988 An adaptive method for the numerical solution of Fredholm integral equations of the second kind. I. Regular kernels. Zbl 0629.65136 Neta, Beny; Nelson, Paul 4 1987 Two-step fourth-order \(P\)-stable methods with phase-lag of order six for \(y''=f(t,y)\). Zbl 0596.65047 Chawla, M. M.; Rao, P. S.; Neta, Beny 90 1986 Families of two-step fourth order \(P\)-stable methods for second order differential equations. Zbl 0599.65044 Chawla, M. M.; Neta, Beny 65 1986 Symmetric linear multistep methods for second-order differential equations with periodic solutions. Zbl 0596.65046 Sommeijer, B. P.; van der Houwen, P. J.; Neta, B. 8 1986 Families of backward differentiation methods based on trigonometric polynomials. Zbl 0653.65056 Neta, Beny 8 1986 Stability and phase speed for various finite element formulations of the advection equation. Zbl 0613.76099 Neta, Beny; Williams, R. T. 3 1986 Finite differences versus finite elements for solving nonlinear integro- differential equations. Zbl 0625.65145 Neta, Beny; Igwe, Jerome O. 18 1985 LU factorization on parallel computers. Zbl 0581.65019 Neta, Beny; Tai, Heng-Ming 2 1985 Families of methods for ordinary differential equations based on trigonometric polynomials. Zbl 0529.65050 Neta, B.; Ford, C. H. 19 1984 A higher order method for multiple zeros of nonlinear functions. Zbl 0499.65026 Victory, H. D. jun.; Neta, B. 52 1983 A new family of higher order methods for solving equations. Zbl 0514.65029 Neta, B. 44 1983 A new fourth-order finite-difference method for solving discrete- ordinates slab transport equations. Zbl 0519.65093 Neta, Beny; Victory, H. D. jun. 10 1983 Numerical solution of a nonlinear integro-differential equation. Zbl 0488.65074 Neta, Beny 20 1982 The convergence analysis of sixth-order methods for solving discrete- ordinates slab transport equations. Zbl 0519.65092 Neta, Beny; Victory, H. D. jun. 8 1982 On a family of multipoint methods for non-linear equations. Zbl 0466.65027 Neta, Beny 48 1981 On three inequalities. Zbl 0445.26009 Neta, Beny 1 1980 On determination of best-possible constants in integral inequalities involving derivatives. Zbl 0453.26008 Neta, Beny 1 1980 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 843 Authors 101 Argyros, Ioannis Konstantinos 87 Neta, Beny 78 Cordero, Alicia 78 Torregrosa Sanchez, Juan Ramón 76 Simos, Theodore E. 47 Behl, Ramandeep 39 George, Santhosh 38 Chun, Changbum 36 Sharma, Janak Raj 27 Magreñán, Ángel Alberto 25 Kim, Young Ik 24 Motsa, Sandile S. 22 Parhi, Sanjaya Kumar 22 Petković, Miodrag S. 22 Sharma, Debasis 19 Geum, Young Hee 19 Givoli, Dan 18 Lin, Chialiang 17 Džunić, Jovana 16 Lotfi, Taher 15 Jangveladze, Temur A. 14 Kansal, Munish 14 Kanwar, Vinay 13 Alshomrani, Ali Saleh 13 Giraldo, Francis X. 13 Kiguradze, Zurab V. 13 Martínez, Eulalia 13 Soleymani, Fazlollah 12 Petković, Ljiljana D. 12 Sharma, Rajni 11 Salimi, Mehdi 11 Vindel, Pura 11 Zafar, Fiza 10 Chicharro, Francisco I. 10 Gupta, Dharmendra Kumar 10 Hueso, José Luis 10 Medvedeva, Marina A. 10 Sharifi, Somayeh 10 Sunanda, Shanta Kumari 10 Wang, Zhongcheng 9 Argyros, Christopher Ioannis 9 Hagstrom, Thomas M. 9 Kumar, Sunil 9 Vassileva, María P. 8 Herceg, Đorđe D. 8 Junjua, Moin-ud-Din 8 Kumar, Deepak 8 Scott, Melvin R. 7 Arora, Himani 7 Bahl, Ashu 7 Campos, Beatriz 7 Dai, Yongming 7 Garrido, Neus 7 Jaiswal, Jai Prakash 7 Medvedev, Maxim A. 7 Petković, Ivan M. 7 Ramos, Higinio 7 Wang, Xiaofeng 7 Zhanlav, Thugal 7 Zhou, Xiaojian 6 Amat Plata, Sergio 6 Dea, John R. 6 Khalsaraei, Mohammad Mehdizadeh 6 Singh, Sukhjit 6 Song, Yongzhong 6 Torkashvand, Vali 6 Vanden Berghe, Guido 6 Yun, Beong In 5 Ćebić, Dejan 5 Gutiérrez, José Manuel 5 Maroju, Prashanth 5 Otgondorj, Khuder 5 Proinov, Petko D. 5 Ralević, Nebojša M. Ralević 5 Ren, Hongmin 5 Siegmund, Stefan 4 Akram, Saima 4 Argyros, Michael I. 4 Artidiello, Santiago 4 Babajee, Diyashvir Kreetee Rajiv 4 Busquier, Sonia 4 Choubey, Neha 4 Dehghan Takht Fooladi, Mehdi 4 Garcia-Rubio, Raquel 4 Gdawiec, Krzysztof 4 Jayaraman, Jayakumar 4 Jidesh, P. 4 Khattri, Sanjay K. 4 Li, Qinghong 4 Madhu, Kalyanasundaram 4 Sharma, Kapil Kumar 4 Sharma, Nisha Kumari 4 Singh, Harmandeep 4 Singh, Manoj Kumar 4 Sun, Bin 4 Van Daele, Marnix 4 Wu, Qingbiao 4 Wu, Xinyuan 4 Yasmin, Nusrat 4 Zhang, Tie ...and 743 more Authors all top 5 Cited in 161 Serials 147 Applied Mathematics and Computation 79 Journal of Computational and Applied Mathematics 67 Journal of Mathematical Chemistry 37 Numerical Algorithms 31 Computers & Mathematics with Applications 29 Journal of Computational Physics 29 International Journal of Computer Mathematics 29 S\(\vec{\text{e}}\)MA Journal 18 Computer Methods in Applied Mechanics and Engineering 18 Applied Numerical Mathematics 17 Journal of Applied Mathematics 16 Applied Mathematics Letters 16 International Journal of Applied and Computational Mathematics 15 International Journal of Computational Methods 13 Wave Motion 11 Mathematics and Computers in Simulation 10 Computer Physics Communications 10 Mathematical Methods in the Applied Sciences 10 Computational and Applied Mathematics 9 Mediterranean Journal of Mathematics 8 Transport Theory and Statistical Physics 8 Abstract and Applied Analysis 7 Journal of Mathematical Analysis and Applications 7 Applied Mathematical Modelling 7 Applicationes Mathematicae 7 Discrete Dynamics in Nature and Society 7 Algorithms 6 International Journal for Numerical Methods in Fluids 6 International Journal for Numerical Methods in Engineering 5 The Journal of Analysis 5 Journal of the Egyptian Mathematical Society 5 Symmetry 5 Afrika Matematika 5 Journal of Mathematics 4 Calcolo 4 Computing 4 Japan Journal of Industrial and Applied Mathematics 4 Mathematical Problems in Engineering 4 Nonlinear Dynamics 4 Journal of Applied Mathematics and Computing 4 Mathematics 3 Computers and Fluids 3 International Journal of Mathematics and Mathematical Sciences 3 Numerische Mathematik 3 Applications of Mathematics 3 Computational Mathematics and Mathematical Physics 3 Georgian Mathematical Journal 3 Filomat 3 Vietnam Journal of Mathematics 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Mathematical Modelling and Analysis 3 Applied Mathematics E-Notes 3 Journal of Computational Acoustics 3 Applicable Analysis and Discrete Mathematics 3 Arabian Journal of Mathematics 3 Axioms 2 BIT 2 Numerical Functional Analysis and Optimization 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Acta Applicandae Mathematicae 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Complexity 2 Numerical Methods for Partial Differential Equations 2 Journal of Scientific Computing 2 Communications in Numerical Methods in Engineering 2 Russian Journal of Mathematical Physics 2 Advances in Computational Mathematics 2 Complexity 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 International Journal of Computational Fluid Dynamics 2 Novi Sad Journal of Mathematics 2 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 2 Computational Geosciences 2 International Journal of Modern Physics C 2 Central European Journal of Mathematics 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Proyecciones 2 The Journal of Prime Research in Mathematics 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Applications and Applied Mathematics 2 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică 2 Asian-European Journal of Mathematics 2 Advances in Numerical Analysis 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 TWMS Journal of Pure and Applied Mathematics 2 Journal of Mathematical Extension 2 Journal of Applied Analysis and Computation 2 Mathematical Sciences 2 International Journal of Engineering Mathematics 2 Open Mathematics 2 Cogent Mathematics 2 Transactions of A. Razmadze Mathematical Institute 1 Acta Mechanica 1 Applicable Analysis 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of Engineering Mathematics 1 Linear and Multilinear Algebra 1 Physics Letters. A 1 Ukrainian Mathematical Journal ...and 61 more Serials all top 5 Cited in 39 Fields 832 Numerical analysis (65-XX) 92 Partial differential equations (35-XX) 84 Ordinary differential equations (34-XX) 76 Fluid mechanics (76-XX) 64 Operator theory (47-XX) 62 Integral equations (45-XX) 40 Dynamical systems and ergodic theory (37-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 30 Approximations and expansions (41-XX) 26 Mechanics of deformable solids (74-XX) 26 Quantum theory (81-XX) 23 Difference and functional equations (39-XX) 17 Optics, electromagnetic theory (78-XX) 15 Computer science (68-XX) 11 Geophysics (86-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Special functions (33-XX) 9 Biology and other natural sciences (92-XX) 6 Real functions (26-XX) 6 Functions of a complex variable (30-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Field theory and polynomials (12-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Operations research, mathematical programming (90-XX) 3 Astronomy and astrophysics (85-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year