In this paper a class of high-order rectangular Sylvester equations are considered. It is first shown that this type of Sylvester equations cover many such types of equations appeared in the ...

1. Introduction Hyperbolic partial differential equations (PDEs) are among the three main classes of PDEs in mathematical physics. The most extensively studied hyperbolic PDE is the wave equation.

An efficient integral-equation method is presented for the fast analysis of scattering from arbitrarily shaped 3-D structures in a rectangular cavity. The proposed method employs: 1) the ...