Iterative Galerkin discretizations for strongly monotone problems

S Congreve, TP Wihler - Journal of Computational and Applied …, 2017 - Elsevier
In this article we investigate the use of fixed point iterations to solve the Galerkin
approximation of strictly monotone problems. As opposed to Newton's method, which …

Solution of the Dirac equation using the Rayleigh-Ritz method: Flexible basis coupling large and small components. Results for one-electron systems

A Bağcı, PE Hoggan - Physical Review E, 2016 - APS
An algebraic solution of the Dirac equation is reinvestigated. Slater-type spinor orbitals and
their corresponding system of differential equations are defined in two-and four-component …

Generalized quadratic spectrum approximation in bounded and unbounded cases

S Kamouche, H Guebbai, M Ghiat, S Segni - … анализа—Issues of …, 2021 - mathnet.ru
The goal of this paper is to generalize concepts in spectral theory in order to define the
quadratic spectrum associated to three bounded linear operators. This concept was initially …

New Convergence Mode For Generalized Spectrum Approximation

S Kamouche, H Guebbai - Numerical Analysis and Applications, 2022 - Springer
In this paper, we introduce a new convergence mode to deal with the generalized spectrum
approximation of two bounded operators. This new technique is obtained by extending the …

ABCD: Algorithm for Balanced Component Discovery in Signed Networks

M Shebaro, J Tešić - arXiv preprint arXiv:2311.00848, 2023 - arxiv.org
The most significant balanced element in signed graphs plays a vital role in helping
researchers understand the fundamental structure of the graph, as it reveals valuable …

A New Tool for Approaching Eigenvalues of the Quadratic Pencil of Schrödinger Operators

S Kamouche, M Kurulay, H Guebbai… - Lobachevskii Journal of …, 2024 - Springer
The aim of this paper is to establish a robust theoretical and numerical framework for
implementing the generalized spectrum approximation method in the context of quadratic …

Computing Klein-Gordon Spectra

F Rösler, C Tretter - IMA Journal of Numerical Analysis, 2024 - academic.oup.com
We study the computational complexity of the eigenvalue problem for the Klein–Gordon
equation in the framework of the Solvability Complexity Index Hierarchy. We prove that the …

Sur le spectre quadratique généralisé des opérateurs bornés

S KAMOUCHE - 2024 - dspace.univ-guelma.dz
Dans cette thèse, notre objectif principal est de développer un cadre analytique et
numérique visant à définir le spectre quadratique généralisé des opérateurs bornés, qui est …

Новый вид сходимости при аппроксимации обобщенного спектра

С Камуш, Х Геббай - Сибирский журнал вычислительной …, 2022 - mathnet.ru
In this paper, we introduce a new convergence mode to deal with the generalized spectrum
approximation of two bounded operators. This new technique is obtained by extending the …

A Study of the Complications regarding the Derivation of Amplitude Equations via Weakly Nonlinear Expansions for Non-self-adjoint Partial Differential Equations

C Drysdale - 2021 - hal.science
The interplay between non-normality and nonlinearity has been the focus of numerous
works but also contention in Fluid Mechanics. In this thesis, we explore the relationship …