This session will cover recent achievements in the area of advanced analytical and numerical methods as applied to various problems arising in all branches of electromagnetics. Topics of interest include, but are not limited to, the following areas: analytical regularization methods; canonical problems; computational electromagnetics; electromagnetic theory; guided waves; gratings and periodic structures; high-frequency techniques; integral equation methods; inverse problems; metamaterials and metasurfaces; nonlinear phenomena; novel mathematical techniques; scattering and diffraction; time-domain techniques; waves in complex media; Wiener-Hopf techniques.