This book describes advanced electromagnetic computational methods and their application to circuit modeling including state-of-the-art examples from industry. The coverage includes the combination of full-wave and circuit optimization techniques and their application to planar circuits; model order reduction and its application to the solution of Maxwell's equations; and the use of the Perfectly Matched Layer (PML) concept and of complex coordinates in the analytical calculation of Green's function and the application of Green's function to solve 2D and 3D scattering, waveguiding and planar circuit problems.