Modelization and Numerical Methods in Science and Engineering

Dear Colleagues,

The Special Issue “Modelization and Numerical Methods in Science and Engineering” aims to act as a high-quality interdisciplinary forum disseminating recent advances in mathematical modeling, numerical methods, and computational techniques that have been applied to complex problems in science and engineering. This Special Issue seeks to bring together researchers from mathematics, engineering, computational science, and applied disciplines, highlighting the central role of mathematics as a common and unifying language for the formulation, analysis, simulation, and optimization of real-world systems.

In recent years, the increasing complexity of scientific and engineering challenges, together with the rapid growth of computational power and data availability, has reinforced the importance of robust mathematical models and efficient numerical methods. These tools are essential not only for understanding physical phenomena but also for improving industrial processes, optimizing performance, reducing costs, and supporting data-driven decision making.

This Special Issue welcomes original research articles, review papers, and high-quality applied contributions presenting theoretical developments, methodological advances, and innovative applications related to mathematical modeling and numerical analysis.

Particular attention will be given to contributions that achieve the following:

• Develop new mathematical models to describe physical, industrial, biological, environmental, or technological processes.
• Propose novel numerical methods or significant improvements to existing algorithms for solving linear and nonlinear problems.
• Present advanced numerical simulations that help analyze, validate, or predict the behaviour of complex systems.
• Introduce efficient optimization techniques applied to real-world engineering, logistics, energy, or industrial problems.
• Explore the integration of machine learning, neural networks, and artificial intelligence techniques with classical modelling and numerical approaches.
• Promote interdisciplinary approaches connecting mathematical theory, computational methods, and practical applications.

Contributions concerning, but not limited to, the following topics are also encouraged:

• Numerical methods for ordinary and partial differential equations.
• Iterative methods and solvers for large-scale systems.
• Inverse problems and parameter estimation.
• Stability, convergence, and performance analysis of numerical algorithms.
• Data-driven modeling and hybrid modeling approaches.
• High-performance computing and scientific computing.
• Digital twins and predictive simulation.
• Applications in mechanical, civil, industrial, biomedical, environmental, and energy engineering.

This Special Issue aims not only to present theoretical advances but also to foster the transfer of knowledge toward practical applications, contributing to the development of innovative solutions to current and future scientific and technological challenges.

All the submitted manuscripts will undergo a rigorous peer review process to ensure their scientific quality, originality, and relevance.

Researchers and practitioners worldwide are invited to submit their latest findings to this Special Issue, consolidating mathematical modeling and numerical methods as key tools for scientific and engineering progress.

Prof. Dr. Alicia Cordero
Prof. Dr. Juan Ramón Torregrosa Sánchez
Dr. Ramandeep Behl
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 250 words) can be sent to the Editorial Office for assessment.

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. Algorithms 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 1800 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.