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 …
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 …
their corresponding system of differential equations are defined in two-and four-component …
Generalized quadratic spectrum approximation in bounded and unbounded cases
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
works but also contention in Fluid Mechanics. In this thesis, we explore the relationship …