TY - BOOK ID - 145720581 TI - Numerical and Analytical Methods in Electromagnetics PY - 2021 PB - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute DB - UniCat KW - History of engineering & technology KW - cubic-quartic Schrödinger equation KW - cubic-quartic resonant Schrödinger equation KW - parabolic law KW - wave field transformation KW - finite difference method KW - Cole-Cole model KW - Monte Carlo simulations KW - percolation KW - conductivity KW - carbon nanotubes composite KW - optical parametric amplification KW - non-linear wave mixing KW - micro-resonator KW - optimization KW - MRI system KW - birdcage coil KW - birdcage configurations KW - coil capacitance KW - analytical solution KW - equivalent circuit modelling KW - T-matrix theory KW - 3D-EM simulation KW - small volume RF coil KW - method of auxiliary sources (MAS) KW - electromagnetic scattering KW - wedge KW - numerical methods KW - accuracy KW - coil gun KW - reluctance KW - electromagnetic launcher KW - mechatronics KW - electronics KW - mechanics KW - simulation KW - RoboCup KW - magnetic field strength KW - magnetic flux density KW - magnetic potential KW - current density KW - power transmission line KW - electromagnetic modelling KW - integral formulation KW - skin effect KW - thin shell approach KW - mutual inductance KW - finite element method KW - partial element equivalent circuit method KW - magnetite nanoparticles KW - Mie scattering theory KW - near infrared laser KW - photothermal therapy KW - bioheat transfer KW - diffusion approximation KW - Arrhenius integral KW - breast cancer KW - air-core pulsed alternator KW - electromagnetic rail launcher KW - coupled analysis KW - computational electromagnetics KW - integral formulations KW - cubic-quartic Schrödinger equation KW - cubic-quartic resonant Schrödinger equation KW - parabolic law KW - wave field transformation KW - finite difference method KW - Cole-Cole model KW - Monte Carlo simulations KW - percolation KW - conductivity KW - carbon nanotubes composite KW - optical parametric amplification KW - non-linear wave mixing KW - micro-resonator KW - optimization KW - MRI system KW - birdcage coil KW - birdcage configurations KW - coil capacitance KW - analytical solution KW - equivalent circuit modelling KW - T-matrix theory KW - 3D-EM simulation KW - small volume RF coil KW - method of auxiliary sources (MAS) KW - electromagnetic scattering KW - wedge KW - numerical methods KW - accuracy KW - coil gun KW - reluctance KW - electromagnetic launcher KW - mechatronics KW - electronics KW - mechanics KW - simulation KW - RoboCup KW - magnetic field strength KW - magnetic flux density KW - magnetic potential KW - current density KW - power transmission line KW - electromagnetic modelling KW - integral formulation KW - skin effect KW - thin shell approach KW - mutual inductance KW - finite element method KW - partial element equivalent circuit method KW - magnetite nanoparticles KW - Mie scattering theory KW - near infrared laser KW - photothermal therapy KW - bioheat transfer KW - diffusion approximation KW - Arrhenius integral KW - breast cancer KW - air-core pulsed alternator KW - electromagnetic rail launcher KW - coupled analysis KW - computational electromagnetics KW - integral formulations UR - https://www.unicat.be/uniCat?func=search&query=sysid:145720581 AB - Like all branches of physics and engineering, electromagnetics relies on mathematical methods for modeling, simulation, and design procedures in all of its aspects (radiation, propagation, scattering, imaging, etc.). Originally, rigorous analytical techniques were the only machinery available to produce any useful results. In the 1960s and 1970s, emphasis was placed on asymptotic techniques, which produced approximations of the fields for very high frequencies when closed-form solutions were not feasible. Later, when computers demonstrated explosive progress, numerical techniques were utilized to develop approximate results of controllable accuracy for arbitrary geometries. In this Special Issue, the most recent advances in the aforementioned approaches are presented to illustrate the state-of-the-art mathematical techniques in electromagnetics. ER -