Computational Methods 2 C

Situated at the intersection of advanced applied mathematics, computational science and engineering modeling, Computational Methods and Mathematical Modeling in Cyberphysics and Engineering Applications 2 presents contemporary analytical and numerical approaches to complex multiscale systems.

This book develops a coherent framework for modeling coupled processes in porous media, heat and mass transfer, biodegradation-driven consolidation, and micro-irrigation networks, alongside modern operator-theoretic and variational methods in Banach spaces. It integrates finite element and finite difference techniques, quasiconformal mappings for electrical impedance tomography, fractional and biparabolic evolution equations, and homogenization in composite media. This book addresses high-performance and grid computing, geometric integration in Hamiltonian magnetic levitation systems, and hierarchical predictors for lossless image compression. It also explores AI-oriented transformer architectures for bioinformatics and optimization algorithms for variational inequalities.

By combining rigorous mathematical foundations with scalable computational strategies, this book offers researchers and advanced practitioners a unified perspective on simulation, identification, and optimization in complex engineering and physical systems.

Dmitri Koroliouk is a Professor at the National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Ukraine.

Sergiy Lyashko is Head of the Department of Computational Mathematics, Taras Shevchenko National University of Kyiv, Ukraine.

Nikolaos Limnios is a Professor at the Sorbonne University Alliance, Université de Technologie de Compiègne, France.