Beny Neta

Orcid: 0000-0002-7417-7496

Affiliations:
  • Naval Postgraduate School, Monterey, CA, USA


According to our database1, Beny Neta authored at least 62 papers between 1984 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Analysis of Traub's Method for Cubic Polynomials.
Axioms, February, 2024

2023
On a Fifth-Order Method for Multiple Roots of Nonlinear Equations.
Symmetry, September, 2023

2019
On optimal parameter of Laguerre's family of zero-finding methods.
Int. J. Comput. Math., 2019

Developing high order methods for the solution of systems of nonlinear equations.
Appl. Math. Comput., 2019

2018
Constructing a family of optimal eighth-order modified Newton-type multiple-zero finders along with the dynamics behind their purely imaginary extraneous fixed points.
J. Comput. Appl. Math., 2018

Comparative study of methods of various orders for finding repeated roots of nonlinear equations.
J. Comput. Appl. Math., 2018

An optimal eighth-order class of three-step weighted Newton's methods and their dynamics behind the purely imaginary extraneous fixed points.
Int. J. Comput. Math., 2018

2017
Comparative study of eighth-order methods for finding simple roots of nonlinear equations.
Numer. Algorithms, 2017

A family of optimal quartic-order multiple-zero finders with a weight function of the principal kth root of a derivative-to-derivative ratio and their basins of attraction.
Math. Comput. Simul., 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.
J. Comput. Appl. Math., 2017

2016
On the new family of optimal eighth order methods developed by Lotfi et al.
Numer. Algorithms, 2016

On an application of symbolic computation and computer graphics to root-finders: The case of multiple roots of unknown multiplicity.
J. Comput. Appl. Math., 2016

Corrigendum to "Basins of attraction for optimal eighth-order methods to find simple roots of nonlinear equations".
Appl. Math. Comput., 2016

A sixth-order family of three-point modified Newton-like multiple-root finders and the dynamics behind their extraneous fixed points.
Appl. Math. Comput., 2016

An analysis of a Khattri's 4th order family of methods.
Appl. Math. Comput., 2016

Comparison of several families of optimal eighth order methods.
Appl. Math. Comput., 2016

2015
Basins of attraction for Zhou-Chen-Song fourth order family of methods for multiple roots.
Math. Comput. Simul., 2015

A class of two-point sixth-order multiple-zero finders of modified double-Newton type and their dynamics.
Appl. Math. Comput., 2015

On developing a higher-order family of double-Newton methods with a bivariate weighting function.
Appl. Math. Comput., 2015

Basins of attraction for several third order methods to find multiple roots of nonlinear equations.
Appl. Math. Comput., 2015

Comparing the basins of attraction for Kanwar-Bhatia-Kansal family to the best fourth order method.
Appl. Math. Comput., 2015

An analysis of a family of Maheshwari-based optimal eighth order methods.
Appl. Math. Comput., 2015

2014
Basins of attraction for several optimal fourth order methods for multiple roots.
Math. Comput. Simul., 2014

Multipoint methods for solving nonlinear equations: A survey.
Appl. Math. Comput., 2014

Basins of attraction for optimal eighth order methods to find simple roots of nonlinear equations.
Appl. Math. Comput., 2014

Corrigendum to "On a family of Laguerre methods to find multiple roots of nonlinear equations".
Appl. Math. Comput., 2014

Choosing weight functions in iterative methods for simple roots.
Appl. Math. Comput., 2014

An analysis of a new family of eighth-order optimal methods.
Appl. Math. Comput., 2014

2013
Finite element approximations of a nonlinear diffusion model with memory.
Numer. Algorithms, 2013

On a family of Halley-like methods to find simple roots of nonlinear equations.
Appl. Math. Comput., 2013

On the development of iterative methods for multiple roots.
Appl. Math. Comput., 2013

On a family of Laguerre methods to find multiple roots of nonlinear equations.
Appl. Math. Comput., 2013

2012
A new sixth-order scheme for nonlinear equations.
Appl. Math. Lett., 2012

Basins of attraction for several methods to find simple roots of nonlinear equations.
Appl. Math. Comput., 2012

Basin attractors for various methods for multiple roots.
Appl. Math. Comput., 2012

A note on the modified super-Halley method.
Appl. Math. Comput., 2012

High-order non-reflecting boundary conditions for dispersive waves in polar coordinates using spectral elements.
Appl. Math. Comput., 2012

On optimal fourth-order iterative methods free from second derivative and their dynamics.
Appl. Math. Comput., 2012

2011
Third-order family of methods in Banach spaces.
Comput. Math. Appl., 2011

Basin attractors for various methods.
Appl. Math. Comput., 2011

Interpolatory multipoint methods with memory for solving nonlinear equations.
Appl. Math. Comput., 2011

Galerkin finite element method for one nonlinear integro-differential model.
Appl. Math. Comput., 2011

2010
Extension of Murakami's high-order non-linear solver to multiple roots.
Int. J. Comput. Math., 2010

Some fourth-order nonlinear solvers with closed formulae for multiple roots.
Comput. Math. Appl., 2010

Large time asymptotic and numerical solution of a nonlinear diffusion model with memory.
Comput. Math. Appl., 2010

Construction of optimal order nonlinear solvers using inverse interpolation.
Appl. Math. Comput., 2010

Klein-Gordon equation with advection on unbounded domains using spectral elements and high-order non-reflecting boundary conditions.
Appl. Math. Comput., 2010

2009
Large time behavior of solutions and finite difference scheme to a nonlinear integro-differential equation.
Comput. Math. Appl., 2009

New families of nonlinear third-order solvers for finding multiple roots.
Comput. Math. Appl., 2009

Finite difference approximation of a nonlinear integro-differential system.
Appl. Math. Comput., 2009

Certain improvements of Newton's method with fourth-order convergence.
Appl. Math. Comput., 2009

A third-order modification of Newton's method for multiple roots.
Appl. Math. Comput., 2009

2008
High order nonlinear solver.
J. Comput. Methods Sci. Eng., 2008

High-order nonlinear solver for multiple roots.
Comput. Math. Appl., 2008

Some modification of Newton's method by the method of undetermined coefficients.
Comput. Math. Appl., 2008

New third order nonlinear solvers for multiple roots.
Appl. Math. Comput., 2008

On Popovski's method for nonlinear equations.
Appl. Math. Comput., 2008

2007
P-stable high-order super-implicit and Obrechkoff methods for periodic initial value problems.
Comput. Math. Appl., 2007

2006
Preface.
Comput. Math. Appl., 2006

1991
Solution of Linear Systems of Ordinary Differential Equations on an INTEL Hypercube.
SIAM J. Sci. Comput., 1991

1989
Special methods for problems whose oscillatory solution is damped.
Proceedings of the Conference on Numerical Ordinary Differential Equations, USA, 1989, 1989

1984
A higher order method for determining nonisolated solutions of a system of nonlinear equations.
Computing, 1984


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