Deterministic, Stochastic, and Deep Learning Methods for Computational Electromagnetics

This book provides a well-balanced and comprehensive picture based on clear physics, solid mathematical formulation, and state-of-the-art useful numerical methods in deterministic, stochastic, deep neural network machine learning approaches for computer simulations of electromagnetic and transport p...

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Detalles Bibliográficos
Autor Principal: Cai, Wei (Author)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:inglés
Publicado: Singapore : Springer Nature Singapore : Imprint: Springer, 2025.
Edición:2nd ed. 2025.
Subjects:
Acceso en liña:https://doi.org/10.1007/978-981-96-0100-4
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Table of Contents:
  • Dielectric constant and fluctuation formulae for molecular dynamics
  • Poisson–Boltzmann electrostatics and analytical approximations
  • Numerical methods for Poisson–Boltzmann equations
  • Random walk stochastic methods for boundary value problems
  • Deep Neural Network for Solving PDEs
  • Fast algorithms for long-range interactions
  • Fast multipole methods for long-range interactions in layered media
  • Maxwell equations, potentials, and physical/artificial boundary conditions
  • Dyadic Green’s functions in layered media
  • High-order methods for surface electromagnetic integral equations
  • High-order hierarchical N´ed´elec edge elements
  • Time-domain methods – discontinuous Galerkin method and Yee scheme
  • Scattering in periodic structures and surface plasmons
  • Schr¨ odinger equations for waveguides and quantum dots
  • Quantum electron transport in semiconductors
  • Non-equilibrium Green’s function (NEGF) methods for transport
  • Numerical methods for Wigner quantum transport
  • Hydrodynamic electron transport and finite difference methods
  • Transport models in plasma media and numerical methods.