Computational Methods for Electromagnetic Phenomena: by Wei Cai

By Wei Cai

A different and finished graduate textual content and reference on numerical equipment for electromagnetic phenomena, from atomistic to continuum scales, in biology, optical-to-micro waves, photonics, nanoelectronics and plasmas. The cutting-edge numerical tools defined comprise: • Statistical fluctuation formulae for the dielectric constant • Particle-Mesh-Ewald, Fast-Multipole-Method and image-based response box procedure for long-range interactions • High-order singular/hypersingular (Nyström collocation/Galerkin) boundary and quantity necessary equipment in layered media for Poisson-Boltzmann electrostatics, electromagnetic wave scattering and electron density waves in quantum dots • soaking up and UPML boundary stipulations • High-order hierarchical Nédélec facet parts • High-order discontinuous Galerkin (DG) and Yee finite distinction time-domain tools • Finite aspect and airplane wave frequency-domain equipment for periodic constructions • Generalized DG beam propagation procedure for optical waveguides • NEGF(Non-equilibrium Green's functionality) and Wigner kinetic equipment for quantum transport • High-order WENO and Godunov and relevant schemes for hydrodynamic delivery • Vlasov-Fokker-Planck and PIC and restricted MHD delivery in plasmas

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