Abstract: This article introduces a novel variational formula for modeling waveguides with uniformly curved longitudinal axes. Using the Rayleigh-Ritz method, we analyze the electromagnetic fields in ...

This repository contains the assignments under the course on Finite Element Analysis taken in the Jul Nov 2024 semester, including topics such as Galerkin method, Rayleigh Ritz method, 1D FEM 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 ...

We overview the main equations of the Rayleigh–Ritz variational method and discuss their connection with the problem of simultaneous diagonalization of two Hermitian matrices.

This paper considers the sparse generalized eigenvalue problem (SGEP), which aims to find the leading eigenvector with at most $k$ nonzero entries. SGEP naturally ...

The so-called Ritz–Galerkin method is one of the most fundamental tools of modern computing. Its origins lie in Hilbert's "direct" approach to the variational calculus of Euler–Lagrange and in the ...

ABSTRACT: We are considering two initial-boundary value problems for Rayleigh-Benard convection in Oberbeck-Boussinesq approximation for incompressible fluid in 3D-rectangular domain with 4:4:1 ...