Discrete Dynamics in Nature and Society

Approximate and Iterative Methods


Publishing date
31 Oct 2014
Status
Published
Submission deadline
13 Jun 2014

Lead Editor

1Department of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland

2Faculty of Management, University of Primorska, Cankarjeva 5, 6104 Koper, Slovenia

3Department of Mathematics, Technical University, Street C. Daicoviciu 15, 400020 Cluj-Napoca, Romania

4Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China


Approximate and Iterative Methods

Description

The iterative methods are very successful in descriptions of many issues and solving various problems in mathematics and its applications. They are based mainly on iterations of operators that satisfy some equations. But, on the other hand, the natural phenomena are subject to certain disturbances (noises) and their descriptions, in general, can be expressed by equations only approximately; that is, frequently instead of equations we rather should use inequalities. So, it is important to know when, why, and to what extent we can replace those inequalities with suitable equations. This is actually the issue of Ulam’s type stability, which nowadays is understood as follows: under what conditions a function, which fulfils an equation, approximately, is close to a solution of the equation. Iterative methods are very useful in investigation of that type of stability. Also, some recent results concerning stability of the translation equation, dynamical systems, and their envelopes show that those approximate and iterative approaches can be combined together.

This special issue is focused not only on the mutual relations between the iterative methods and the approximate approach suggested by Ulam’s type stability, but also on related issues. Articles containing the industrial and some other real-world applications are particularly welcome. The authors are invited to submit original research papers as well as review articles. Potential topics include, but are not limited to:

  • Relations between the exact and approximate solutions of fractional (difference, differential, and integral) equations
  • Composite and iterative type functional and difference equations (their exact and approximate solutions)
  • Iterative procedures in operator theory
  • Bifurcation theory for perturbed discrete dynamical systems
  • Topological and symbolic dynamics
  • Numerical stability analysis of iterative methods
  • Ulam’s type stability of various objects (equations, inequalities, homotopies, and flows)
  • Hyperstability, superstability, and stability in various spaces and C*-algebras

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


Articles

  • Special Issue
  • - Volume 2015
  • - Article ID 797542
  • - Research Article

Mathematical Analysis for a Discrete Predator-Prey Model with Time Delay and Holling II Functional Response

Dehong Ding | Kui Fang | Yang Zhao
  • Special Issue
  • - Volume 2015
  • - Article ID 340293
  • - Editorial

Approximate and Iterative Methods

Janusz Brzdęk | Krzysztof Ciepliński | ... | Bing Xu
  • Special Issue
  • - Volume 2015
  • - Article ID 958052
  • - Research Article

Proactive Traffic Information Control in Emergency Evacuation Network

Zhengfeng Huang
  • Special Issue
  • - Volume 2015
  • - Article ID 492515
  • - Research Article

Hyers-Ulam-Rassias Stability of Functional Differential Systems with Point and Distributed Delays

M. De la Sen
  • Special Issue
  • - Volume 2014
  • - Article ID 912796
  • - Research Article

Efficient Iterative Methods with and without Memory Possessing High Efficiency Indices

T. Lotfi | F. Soleymani | ... | F. Khaksar Haghani
  • Special Issue
  • - Volume 2014
  • - Article ID 971497
  • - Research Article

An Immunization Strategy Based on Propagation Mechanism

Yixin Zhu | Fengli Zhang | Wenqiang Guo
  • Special Issue
  • - Volume 2014
  • - Article ID 536791
  • - Review Article

On Ulam’s Type Stability of the Linear Equation and Related Issues

Janusz Brzdęk | Krzysztof Ciepliński | Zbigniew Leśniak
  • Special Issue
  • - Volume 2014
  • - Article ID 269286
  • - Research Article

A Proposal to the Study of Contractions in Quasi-Metric Spaces

Hamed H. Alsulami | Erdal Karapınar | ... | Antonio-Francisco Roldán-López-de-Hierro
  • Special Issue
  • - Volume 2014
  • - Article ID 365981
  • - Research Article

Local Fractional Laplace Variational Iteration Method for Solving Linear Partial Differential Equations with Local Fractional Derivative

Ai-Min Yang | Jie Li | ... | Xiao-Jun Yang
  • Special Issue
  • - Volume 2014
  • - Article ID 805175
  • - Research Article

Multiobjective Network Optimization for Soil Monitoring of the Loess Hilly Region in China

Dianfeng Liu | Yaolin Liu | ... | Xiang Zhao
Discrete Dynamics in Nature and Society
 Journal metrics
Acceptance rate26%
Submission to final decision64 days
Acceptance to publication63 days
CiteScore0.990
Impact Factor0.973
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