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Browsing AUB Students' Theses, Dissertations, and Projects by Author "Moufawad, Sophie"

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Analysis and Implementation for an Time Euler Implicit - Space Finite ElementApproximation To a Hasegawa-Mima Plasma Model

Saleh, Adel (2/8/2022)

In Magnetohydrodynamics, the Hasegawa-Mima equation appears as a model for pseudo three-dimensional turbulence of a confined plasma inside a Tokamak reactor. This equation bears close resemblence to the 2d Navier-Stokes ...
A Fixed-Point Argument for Existence of Dichromatic Lens

Alharakeh, Zeinab (5/18/2022)

In this paper, we are going to solve a system of functional differential equations and use Banach Fixed Point Theorem to prove existence and uniqueness of solution. This will help us in a problem in geometrical optics. Our ...
Identification of Gas Diffusion Coefficients in Polar Firn.

Maad, Sara (9/12/2022)

The use of data analysis cooperatively with partial differential equations is a successful technique to estimate the main parameters of diverse phenomena in many fields (medicine, biology, ecology,...). In the area of ...
Newton Type Methods for Solving Finite-ELement Space, Euler-Implicit Time Discretization of the Hasegawa-Mima Equation

Assidi, Maya (2021-09-11)

Hasegawa-Mima was derived by Akira Hasegawa and Kunioki Mima during late 70s. When normalized, it can be put as the following PDE that is third order in space and first order in time: ∆ u_t + u_t={u, ∆ u} +{p,u} In a ...
On Enlarged Krylov Subspace Conjugate Gradient Method: MSDO-CG

El Owayed, Hiba (8/18/2022)

Solving systems of linear equations of the form Ax=b has always been a challenge for scientists because the input matrix A is very large and sparse. These systems are derived mainly from the discretization of Partial ...
On Recovering the Initial State of the Transport Equation

Layoun, Youmna (2022-09-14)

Widely used and studied, the transport equation is a partial differential equation that describes how a mass is transported (or translated) through time and space. The goal of this thesis is to recover the initial state ...
On the Enlarged Krylov Subspace Method: SRE-CG2

Al Hajj, Youmna Abbas (9/12/2021)

We are interested in solving sparse systems of linear equations Ax=b with Krylov subspace methods. A new approach for reducing communication in Krylov subspace methods was introduced that consists of enlarging the Krylov ...

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Browsing AUB Students' Theses, Dissertations, and Projects by Author "Moufawad, Sophie"

Browsing AUB Students' Theses, Dissertations, and Projects by Author "Moufawad, Sophie"

Search AUB ScholarWorks

Browse

All of AUB ScholarWorks

This Collection

My Account

Copyright Statement