World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
38
Citations
5779
World Ranking
2358
National Ranking
994

Engineering and Technology

D-Index
38
Citations
5789
World Ranking
8059
National Ranking
2230

Overview

Beny Neta is affiliated with the Naval Postgraduate School in the United States and has contributed extensively to the field of mathematics, with a primary focus on numerical analysis and iterative methods for nonlinear equations. Their research spans multiple subfields, including numerical analysis, computational theory and mathematics, modeling and simulation, computational mechanics, and mathematical physics.

The core topics of Neta's work involve iterative methods for nonlinear equations, advanced optimization algorithm research, matrix theory and algorithms, fractional differential equations solutions, advanced numerical analysis techniques, mathematical and theoretical analysis, and differential equations and numerical methods.

Neta has published in several notable venues, with frequent publications in:

  • Mathematics
  • Journal of Numerical Analysis and Approximation Theory
  • Georgian Mathematical Journal
  • Numerical Functional Analysis and Optimization
  • Symmetry

Some of the recent papers authored by Beny Neta include:

  • "A New Derivative-Free Method to Solve Nonlinear Equations" (2021), published in Mathematics
  • "Basin attractors for derivative-free methods to find simple roots of nonlinear equations" (2020), published in Journal of Numerical Analysis and Approximation Theory

Neta collaborates with various researchers, most frequently coauthoring with Alicia Cordero, Juan R. Torregrosa, Changbum Chun, Ali Shokri, and Mohammad Mehdizadeh Khalsaraei. These collaborations have contributed to the interdisciplinary approaches in their numerical and computational studies.

Best Publications

  • Multipoint methods for solving nonlinear equations: A survey

    Miodrag S. Petković;Beny Neta;Ljiljana D. Petković;Jovana Dunić

  • Multipoint Methods for Solving Nonlinear Equations

    Miodrag Petkovic;Beny Neta;Ljiljana Petkovic;Jovana Dzunic

  • High-order non-reflecting boundary scheme for time-dependent waves

    Dan Givoli;Beny Neta

  • Basin attractors for various methods

    Melvin Scott;Beny Neta;Changbum Chun

  • On optimal fourth-order iterative methods free from second derivative and their dynamics

    Changbum Chun;Mi Young Lee;Beny Neta;Jovana Džunić

  • Two-step fourth-order P-stable methods with phase-lag of order six for y ″=( t,y )

    M M Chawla;P S Rao;B Neta;B Neta

  • Some fourth-order nonlinear solvers with closed formulae for multiple roots

    S. G. Li;L. Z. Cheng;B. Neta

  • Basins of attraction for several methods to find simple roots of nonlinear equations

    Beny Neta;Melvin Scott;Changbum Chun

  • New third order nonlinear solvers for multiple roots

    Beny Neta

  • High-order nonlinear solver for multiple roots

    B. Neta;Anthony N. Johnson

  • Basins of attraction for optimal eighth order methods to find simple roots of nonlinear equations

    Beny Neta;Changbum Chun;Melvin Scott

  • A third-order modification of Newton's method for multiple roots

    Changbum Chun;Beny Neta

  • A higher order method for multiple zeros of nonlinear functions

    H. D. Victory;B. Neta

  • A sixth-order family of methods for nonlinear equations

    Beny Neta

  • Families of two-step fourth order P-stable methods for second oder differential equations

    M M Chawla;B Neta

  • Basin attractors for various methods for multiple roots

    Beny Neta;Melvin Scott;Changbum Chun

  • A Perfectly Matched Layer Approach to the Linearized Shallow Water Equations Models

    I. M. Navon;B. Neta;M. Y. Hussaini

  • On a family of multipoint methods for non-linear equations

    Beny Neta

  • High-Order Non-Reflecting Boundary Conditions for Dispersive Waves

    Dan Givoli;Beny Neta

  • Extension of Murakami's high-order non-linear solver to multiple roots

    B. Neta

  • Two-point methods

    Miodrag S. Petković;Beny Neta;Ljiljana D. Petković;Jovana Džunić

Frequent Co-Authors

Miodrag S. Petković
Miodrag S. Petković University of Nis
Dan Givoli
Dan Givoli Technion – Israel Institute of Technology
I. M. Navon
I. M. Navon Florida State University
Simeon Reich
Simeon Reich Technion – Israel Institute of Technology
Daniele Mortari
Daniele Mortari Texas A&M University

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