Abstract: The variational method (Rayleigh-Ritz), Galerkin's method and the method of least squares have been utilized extensively in electromagnetic theory to solve various field problems. In most ...

The Rayleigh-Ritz procedure for determining bound-states of the Schrödinger equation relies on spectral representation of the solution as a linear combination of the basis functions. Several possible ...

Abstract: SummaryAnalyzing Rayleigh waves in structures of a piezoelectric solid coated with a patterned metal film layer is of great importance in developing acoustic wave resonators. The ...

In this paper we present an algorithm for solving the inverse Sturm-Liouville problem with symmetric potential and Dirichlet boundary conditions. The algorithm is based on the Rayleigh-Ritz method for ...

We apply the well known Rayleigh–Ritz method (RRM) to the projection of a Hamiltonian operator chosen recently for the extension of the Rayleigh–Ritz variational principle to ensemble states. By means ...

ABSTRACT: In the present study, vibration analysis of a three-layered cylindrical shell is performed whose inner and outer layers are composed of functionally graded materials whereas the middle one ...