15 citations · 64 across the 11 of their papers we have counts for
12 papers
Exact solutions for slowly rotating wormholes in the presence of an anisotropic fluid
Davide Batic, Denys Dutykh, Mark Essa Sukaiti
We construct slowly rotating traversable wormholes in the presence of an anisotropic fluid. Starting from a Teo-type stationary, axisymmetric extension of the Morris-Thorne metric,…
Spectral Analysis of Quasinormal Modes of Planck Stars
Davide Batic, Denys Dutykh, Fabio Scardigli
We investigate the quasinormal modes (QNMs) of Planck stars within the framework of scale-dependent gravity (SDG). In our setup, the running parameter is fixed to a negative va…
From Time Series Expansion to Proper Generalized Decomposition via Graph-Theoretical Connection: Stabilized Simulation of Fluids Flow
Ahmad Deeb, Vladimir Parezanovic, Denys Dutykh
In this paper, we employ graph theory to establish a connection between the Time Series Expansion (TSE) and Proper Generalized Decomposition (PGD) methods. Using the concept of a d…
Numerical Integration of Navier-Stokes Equations by Time Series Expansion and Stabilized FEM
Ahmad Deeb, Denys Dutykh
This manuscript introduces an advanced numerical approach for the integration of incompressible Navier-Stokes (NS) equations using a Time Series Expansion (TSE) method within a Fin…
A Spectral Approach for Quasinormal Frequencies of Noncommutative Geometry-inspired Wormholes
Davide Batic, Denys Dutykh, Joudy Jamal Beek
We present a detailed investigation of quasinormal modes (QNMs) for noncommutative geometry-inspired wormholes, focusing on scalar, electromagnetic, and vector-type gravitational p…
Instability Analysis of Massive Static Phantom Wormholes via the Spectral Method
Davide Batic, Denys Dutykh
Using the spectral method, we investigate the scalar and axial quasinormal modes (QNMs) of massive static phantom wormholes. Our results reveal the existence of purely imaginary QN…
A Practical Example of the Impact of Uncertainty on the One-Dimensional Single-Diode Model
Carlos Cárdenas-Bravo, Sylvain Lespinats, Denys Dutykh
The state of health of solar photovoltaic (PV) systems is assessed by measuring the current-voltage (I-V) curves, which present a collection of three cardinal points: the short-cir…
A Unified Spectral Approach for Quasinormal Modes of Morris-Thorne Wormholes
Davide Batic, Denys Dutykh
In this paper, we undertake a comprehensive examination of quasinormal modes (QNMs) linked to Morris-Thorne, also known as Bronnikov-Ellis wormholes, delving into scalar, electroma…
Error estimation for numerical approximations of ODEs via composition techniques. Part I: One-step methods
Ahmad Deeb, Denys Dutykh
In this study, we introduce a refined method for ascertaining error estimations in numerical simulations of dynamical systems via an innovative application of composition technique…
Route to chaos and resonant triads interaction in a truncated Rotating Nonlinear shallow-water model
Francesco Carbone, Denys Dutykh
The route to chaos and phase dynamics in a rotating shallow-water model were rigorously examined using a five-mode Galerkin truncated system with complex variables. This system is…
Stabilized Time Series Expansions for High-Order Finite Element Solutions of Partial Differential Equations
Ahmad Deeb, Denys Dutykh
Over the past decade, Finite Element Method (FEM) has served as a foundational numerical framework for approximating the terms of Time Series Expansion (TSE) as solutions to transi…
On the parameters domain of the single-diode model
Carlos Cárdenas-Bravo, Denys Dutykh, Sylvain Lespinats
The current-voltage (I-V) curves of solar photovoltaic (PV) systems have been widely used as a tool to determine their electrical operation. Usually, I-V curves are described emplo…