Computational methods for electromagnetic phenomena : electrostatics in solvation scattering and electron transport A unique and comprehensive graduate text and reference on numerical methods for electromagnetic phenomena from atomistic to continuum scales in biology micro to optical waves photonics nanoelectronics and plasmas. The state of the art numerical methods described include: Statistical fluctuation formula for the dielectric constant; Particle Mesh Ewald Fast Multipole Method and image based reaction field method for long range interactions; High order singular hypersingular (Nyström 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 Nédélec 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 Greens function) and Wigner kinetic methods for quantum transport; High order WENO and Godunov and central schemes for hydrodynamics transport; Vlasov Fokker Planck and PIC and constrained MHD transport in plasmas