Mathematical and Computational Methods for Complex Electromagnetic Systems kindle baixar
de Dr. Pasquale Dottorato
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Descrição do livro
This volume provides a coherent and rigorous multidisciplinary treatment of advanced methods for the simulation, analysis, and design of complex electromagnetic systems. In a technological landscape defined by stringent demands for performance, accuracy, robustness, and scalability—from next‑generation telecommunications to aerospace and defense, from photonics to metamaterials, from RF devices to quantum technologies—reliable theoretical and computational tools are essential for addressing problems with high geometric, multiscale, and multiphysics complexity. The book examines the major challenges of modern computational electromagnetics: intricate geometries and multiscale structures; nonlinear, anisotropic, and dispersive media; multiphysics coupling; uncertainty quantification; ill‑posed inverse problems; high‑dimensional optimization; and real‑time simulation and control. Each topic is presented with careful attention to foundational mathematics and algorithmic or implementation aspects, maintaining a constant link between theory and engineering practice. A central role is devoted to the theoretical framework supporting the methodology. The volume develops the functional foundations required to understand Maxwell’s equations, the spectral nature of electromagnetic problems, weak and variational formulations, distribution theory, and functional spaces relevant to existence, uniqueness, and stability. Advanced tools provide a basis for deterministic and stochastic modelling, including long‑term dynamics. From a numerical perspective, the book presents the main discretization techniques—FEM, FTDT, discontinuous Galerkin methods, boundary elements, and domain decomposition—analysing consistency, stability, convergence, and computational cost. Emphasis is placed on algebraic structures, solvers, preconditioners, and parallelization strategies. High‑performance implementation, GPU acceleration, and scalability to very large systems are discussed with a focus on reproducibility, robustness, and performance. Alongside classical approaches, the volume explores emerging paradigms reshaping scientific simulation: reduced‑order models (POD, DEIM, multiphysics ROMs); deep learning and operator learning; Physics‑Informed Neural Networks; machine learning and Bayesian inference in quantum settings; and quantum‑assisted strategies for model reduction, uncertainty quantification, and topological optimization. The goal is to build an integrated framework in which artificial intelligence and quantum computing are coherently embedded into the simulation, design, and control pipeline. Specific attention is devoted to electromagnetic inverse problems, topological optimization, automated design (EDA), digital twins, and advanced control systems for sensing and imaging. A unified framework connects forward modelling, parameter identification, probabilistic inference, constrained optimization, and integration with experimental data, highlighting regularization, stability, and robustness. The volume includes real‑world applications and over fifty technical figures—diagrams, flowcharts, benchmarks, and simulation results—facilitating the transition from mathematical formulation to design practice. Extensive appendices deepen theoretical, algorithmic, and implementation aspects, making the work a comprehensive reference. The book offers a unified and advanced perspective on contemporary computational electromagnetics, integrating mathematical rigor, numerical robustness, and technological innovation. It guides readers in translating theory into implementable tools, integrating heterogeneous methodologies, and anticipating future developments. It is intended for researchers, PhD students, engineers, and professionals in applied electromagnetics, numerical simulation, computational engineering, and quantum technologies, and assumes a solid background in mathematical analysis, linear algebra, numerical methods, and electromagnetic theory.
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