The Rayleigh–Ritz method enables one to reduce an infinite number of degrees-of-freedom of a system into a finite number, which makes analysis possible and easier. The method relies on the ...

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 ...

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 ...

In this submission, I present three self-developed deep-learning-based implementations in TF2 of the methods: WANs (Weak Adversarial Networks), GDRM (The Generalized Deep Ritz Method), and D2RM (The ...

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.

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 ...

1 Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad Ibn Saud Islamic, University (IMSIU), Riyadh, Saudi Arabia. 2 Department of Mathematics, College of Science, Beni-Suef ...