Journal of Applied Mathematics

Iterative Methods for Nonlinear Equations or Systems and Their Applications


Publishing date
15 Mar 2013
Status
Published
Submission deadline
26 Oct 2012

1Instituto de Matemáticas Multidisciplinar, Universitat Politècnica de València, 46022 Valencia, Spain

2Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea

3Department of Mathematics, Islamic Azad University, Zahedan Branch, Zahedan, Iran


Iterative Methods for Nonlinear Equations or Systems and Their Applications

Description

The construction of fixed-point iterative methods for approximating the zeros of nonlinear functions, in particular the solutions of nonlinear equations or systems, is an interesting task in numerical analysis and applied scientific branches. Over the last years, iterative techniques have been applied in many diverse fields as economics, engineering, physics, dynamical models, and so on. The existence of an extensive literature on these iterative schemes reveals that this topic is a dynamic branch of the applied mathematics with interesting and promising applications.

The aim of this special issue is to present the new trends in the field of fixed-point iterative methods for nonlinear problems and extend their applications in mathematics and applied sciences. We invite investigators to contribute original research articles as well as review articles that will stimulate the continuing efforts to design, develop, and apply high-order iterative schemes for solving nonlinear problems. Potential topics include, but are not limited to:

  • New developments in fixed-point iterative methods for solving nonlinear equations or systems
  • Optimal iterative schemes in the sense of Kung-Traub conjecture
  • Steffensen type methods for solving nonlinear problems
  • Fixed-point iterative methods for singular problems
  • Dynamical studies of fixed-point functions and its relationship with the convergence of the method
  • Fixed-point iterative methods for Banach spaces
  • Iterative methods applied to nonlinear engineering problems
    • Optimization problems
    • Nonlinear wave problems
    • Digital image processing
    • Electromagnetic problems
  • Interval methods for the solution of nonlinear equations
  • From fixed-point iterations to the inverses of units modulo prime powers in Number Theory

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/jam/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2013
  • - Article ID 325273
  • - Research Article

Fixed Points of Closed and Compact Composite Sequences of Operators and Projectors in a Class of Banach Spaces

M. De la Sen
  • Special Issue
  • - Volume 2013
  • - Article ID 634670
  • - Research Article

Convergence of Variational Iteration Method for Second-Order Delay Differential Equations

Hongliang Liu | Aiguo Xiao | Lihong Su
  • Special Issue
  • - Volume 2013
  • - Article ID 123643
  • - Research Article

On a Level-Set Method for Ill-Posed Problems with Piecewise Nonconstant Coefficients

A. De Cezaro
  • Special Issue
  • - Volume 2012
  • - Article ID 139609
  • - Research Article

New Nonsmooth Equations-Based Algorithms for -Norm Minimization and Applications

Lei Wu | Zhe Sun
  • Special Issue
  • - Volume 2012
  • - Article ID 718608
  • - Research Article

On a Newton-Type Method for Differential-Algebraic Equations

S. Amat | M. J. Légaz | P. Pedregal
  • Special Issue
  • - Volume 2012
  • - Article ID 973781
  • - Research Article

Newton Method to Recover the Phase Accumulated during MRI Data Acquisition

Oh-In Kwon | Chunjae Park
  • Special Issue
  • - Volume 2012
  • - Article ID 294086
  • - Research Article

Another Simple Way of Deriving Several Iterative Functions to Solve Nonlinear Equations

Ramandeep Behl | V. Kanwar | Kapil K. Sharma
  • Special Issue
  • - Volume 2012
  • - Article ID 497023
  • - Research Article

Construction of Optimal Derivative-Free Techniques without Memory

F. Soleymani | D. K. R. Babajee | ... | S. S. Motsa
  • Special Issue
  • - Volume 2012
  • - Article ID 751975
  • - Research Article

On a New Method for Computing the Numerical Solution of Systems of Nonlinear Equations

H. Montazeri | F. Soleymani | ... | S. S. Motsa
  • Special Issue
  • - Volume 2012
  • - Article ID 958020
  • - Research Article

Computing Simple Roots by an Optimal Sixteenth-Order Class

F. Soleymani | S. Shateyi | H. Salmani
Journal of Applied Mathematics
 Journal metrics
Acceptance rate15%
Submission to final decision42 days
Acceptance to publication64 days
CiteScore1.900
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