A unique and comprehensive graduate text and reference on numerical methods for electromagnetic phenomena, from atomistic to continuum scales, in biology, optical-to-micro waves, photonics, nanoelectronics and plasmas. The state-of-the-art numerical methods described include: - Statistical fluctuation formulae for the dielectric constant - Particle-Mesh-Ewald, Fast-Multipole-Method and image-based reaction field method for long-range interactions - High-order singular/hypersingular (Nystr m collocation/Galerkin) boundary and volume integral methods in layered media for Poisson-Boltzmann electrostatics, electromagnetic wave scattering and electron density waves in quantum dots - Absorbing and UPML boundary conditions - High-order hierarchical N d lec edge elements - High-order discontinuous Galerkin (DG) and Yee finite difference time-domain methods - Finite element and plane wave frequency-domain methods for periodic structures - Generalized DG beam propagation method for optical waveguides - NEGF(Non-equilibrium Green's function) and Wigner kinetic methods for quantum transport - High-order WENO and Godunov and central schemes for hydrodynamic transport - Vlasov-Fokker-Planck and PIC and constrained MHD transport in plasmas
