In scientific and engineering simulation frameworks, the need for enhanced accuracy, computational efficiency, and numerical robustness remains mandatory to ensure that complex physical processes can be represented with fidelity and reliability across a broad spectrum of applications. This workshop aims to investigate recent developments in numerica methods for accurately capturing the complexities of physical systems across various sectors, with particular attention to the interplay between theory, algorithmic design, and computational implementation.
Central topics include advanced discretization techniques, reduced order models, approximation theory, high performance computing, and the integration of machine learning for multiphysics and multiscale simulations. These advancements provide a reliable contribution to significantly improve the methodologies across different application fields, ranging from industrial to biomedical and environmental engineering, where an accurate description of nonlinear coupled phenomena is crucial.
More in detail, this workshop will allow participants to exchange insights and ideas on innovative approaches going beyond traditional methods. In this framework, we aim to collect relevant contributions in finite difference, finite element, finite volume, spectral, boundary element and meshless methods, demonstrating their efficacy in capturing complex phenomena, as well as in improving scalability and adaptability of numerical solvers.
The discussion will encompass a wide variety of approaches used by the scientific computing community for addressing complex modelling problems coming from real-world applications, highlighting best practices, open challenges, and future research directions for the next generation of simulation tools
Dipartimento di Ingegneria - UniversitĂ di Palermo
Viale delle Scienze, 90128 Palermo, Italia
Elisa Francomano, University di Palermo, elisa.francomano@unipa.it
Michele Girfoglio, University di Palermo, michele.girfoglio@unipa.it
Silvia Licciardi, University di Palermo, silvia.licciardi@unipa.it