Numerical Analysis and Computational Simulations in Complex Problems and Engineering Applications

Dear Colleagues,

Numerical analysis and computational simulations, including AI-driven solutions and machine learning, are crucial for solving a range of complex problems, from engineering design to multiparametric optimization and information extraction. Modern theoretical and applied problems increasingly rely on rigorous mathematical formulations, including differential equations, dynamical systems, numerical methods, optimization, control theory, stochastic processes, and data-driven mathematical approaches. These mathematical tools and modern data science approaches are essential not only for theoretical understanding but also for the prediction, simulation, and control of complex physical systems. This especially stands out in coupled problems, such as solid–fluid mechanics, parametric optimization, complex stress–strain analysis, application of new materials, and thermal–solid models in real mechanical systems. Special contributions can also be expected in information extraction, particularly for unstructured or semi-structured data. The development of computational simulations based on numerical methods and artificial intelligence tools can effectively enhance existing mathematical methods and models, enabling new and expanded applications.

The Special Issue will encompass selected contributions sent to the 3rd International Conference on Mathematical Modelling on Mechanics and Engineering-ICME2026, Belgrade, Serbia, September 10-12, 2026 (https://www.mi.sanu.ac.rs/~icme/icme2026/ ) and provide a dedicated platform for high-quality mathematical research inspired by engineering and other applications, while maintaining a strong emphasis on mathematical rigor, originality, and methodological innovation. The Special Issue will highlight how mathematical analysis and computation contribute to solving complex problems, with a focus on, but not limited to, contemporary problems in mechanics, materials, manufacturing, energy systems, and related applied sciences.

Prof. Dr. Lothar Reichel
Dr. Aleksandar V. Pejcev
Guest Editors

Manuscript Submission Information

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