Dear Colleagues,

Mathematical modeling is an active area of applied mathematics.  At its beginning, engineers were the main practitioners of this area of mathematics, developing mathematical models for solving engineering problems in natural sciences.

However, analysis methods and models in social sciences are similar to those of nature sciences including engineering, with the only difference that instead of using principles of the nature, one uses principles or theories from experts of such social sciences.

Models based on ordinary or partial differential equations describe a wide variety of phenomena such as sound, heat, diffusion, electrostatics, electrodynamics, fluid dynamics, elasticity, or quantum mechanics, for example.  Additionally, stochastic models have recently attracted increased attention. Obviously, some of these types of complex problems also require a deep analysis of the tools utilized to solve these situations.

In this Special Issue, we try to integrate models, methods, and also applications, not only in the scope of traditional natural sciences, but also opening the scope to education and other social sciences. Theory and data-driven models, even in a synergy that gives rise to producing fertile, multidisciplinary, and hybrid models, can be considered. Potential topics include, but are not limited to:

• Numerical and modelling analysis;
• Optimization and evolutionary algorithms models and methods;
• Deterministic differential equations: methods and models;
• Random differential equations: methods and models;
• Numerical solution of large systems of linear and nonlinear equations;
• Educational models and methods;
• Social networks models and methods;
• Engineering models and simulation;
• Analysis modelling in economics and finance;
• Algebraic models and methods with applications;
• Intelligent data analysis models and methods.

Before submission, authors should carefully read over the journal’s Author Guidelines, which are located at:

https://www.mdpi.com/journal/axioms/instructions

Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at:

https://susy.mdpi.com/

according to the timetable.

Dr. Jesús Martín Vaquero
Prof. Dr. Deolinda M. L. Dias Rasteiro
Prof. Dr. Araceli Queiruga-Dios
Dr. Fatih Yilmaz
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. Axioms is an international peer-reviewed open access monthly 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 2400 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.