Mathematical and Computational Modelling in Empirical and Applied Science

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: 31 October 2025 | Viewed by 316

Special Issue Editors


E-Mail Website
Guest Editor
Department of Statistical Sciences, University of Bologna, 40126 Bologna, Italy
Interests: computational mathematics; differential equation integration; biomedical image processing; symbolic and numerical methods for applied science problems
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
Department of Statistical Sciences, University of Urbino, 61029 Urbino, Italy
Interests: stochastic modelling in biomathematics; stochastic modelling of gene regulatory networks (GNRs); stability of equilibria for stochastic ordinary differential equations and delay differential equations
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
Department of Statistical Sciences, University of Bologna, 40126 Bologna, Italy
Interests: dynamic models; stochastic differential equations; probability and stochastic processes; probabilistic models in biology and finance

Special Issue Information

Dear Colleagues,

Life sciences have become central in scientific research over recent years, both for their wide range of advanced applications and for their usefulness in the treatment of complex and/or rare diseases that affect humans.

Experimentalists in biology and, more generally, in the natural and applied sciences increasingly look to the simulation methods and tools that mathematicians, statisticians, and computer scientists can offer, in attempts to obtain in-depth information on the physical phenomena in which they are involved.

To accomplish this task, modeling is confirmed as an essential step with which to gain insights and acquire knowledge on the phenomena considered, describe the related processes of interest, and make predictions.

Contributions are therefore welcome regarding applications of mathematics to real-life situations and, above all, to natural and applied science, particularly computational biology and biotechnology, but also physics and medicine.

Also of interest are applications involving complex and/or high-dimensional data or dynamics arising in the social sciences, especially economics devoted to health and lifestyle aspects.

Particular consideration is given to numerical and computational treatments.

Hybrid symbolic/numerical solution approaches are also of interest.

Potential contributions include—but are not limited to—the following topics:

* Deterministic and stochastic modeling and simulation in empirical and applied sciences;

* Computational methods in natural, social, and applied sciences;

* Artificial intelligence in biomathematics, biomedical imaging, and healthcare applications;

* Mathematical modelling for bioscience data integration;

* Optimization methods for computational system biology;

* Big data analysis and their numerical treatment;

* Computational approaches for multi-omics data;

* Symbolic and numerical computation.

Prof. Giulia Spaletta
Prof. Dr. Margherita Carletti
Prof. Dr. Alberto Lanconelli
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • deterministic and stochastic modeling and simulation in empirical and applied sciences
  • computational methods in natural, social, and applied sciences
  • artificial intelligence in biomathematics, biomedical imaging, and healthcare applications
  • mathematical modelling for bioscience data integration
  • optimization methods for computational system biology
  • big data analysis and their numerical treatment
  • computational approaches for multi-omics data
  • symbolic and numerical computation

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.

Further information on MDPI's Special Issue policies can be found here.

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

13 pages, 389 KiB  
Article
Modeling Odd Nonlinear Oscillators with Fifth-Order Truncated Chebyshev Series
by Daniele Ritelli and Giulia Spaletta
Mathematics 2025, 13(7), 1125; https://doi.org/10.3390/math13071125 - 29 Mar 2025
Viewed by 168
Abstract
The aim of this work is to model the nonlinear dynamics of conservative oscillators, with restoring force originating from even-order potentials. In particular, we extend our previous findings on inverting the time-integral equation that arises in the solution of such dynamical systems, a [...] Read more.
The aim of this work is to model the nonlinear dynamics of conservative oscillators, with restoring force originating from even-order potentials. In particular, we extend our previous findings on inverting the time-integral equation that arises in the solution of such dynamical systems, a task that is almost always intractable in exact form. This is faced and solved by approximating the restoring force with its Chebyshev series truncated to order five; such a quintication approach yields a quinticate oscillator, whose associated time-integral can be inverted in closed form. Our solution procedure is based on the quinticate oscillator coefficients, upon which a second-order polynomial is constructed, which appears in the time-integrand of the quinticate problem, and whose roots determine the expression of the closed-form solution, as well as that of its period. The presented algorithm is implemented in the Mathematica software and validated on some conservative nonlinear oscillators taken from the relevant literature. Full article
Show Figures

Figure 1

Back to TopTop