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Browsing by Author "Sabra, Ahmad"

Browsing by Author "Sabra, Ahmad"

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  • Discrete Optimal Transport 
    Fakih, Israa (2023-05-02)
    We introduce the Assignment Problem, which involves minimizing the cost of transporting goods from a finite number of sources to a finite number of targets. Due to the discrete nature of the assignment problem, a solution ...
  • 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 ...
  • Least Gradient Problem 
    Lahoud, Jolie (2024-05-08)
    For a given continuous function g defined on the boundary of Ω where Ω is a bounded lipschitz domain in ℝ𝑛satisfying some conditions, we consider proving the existence of a function u in the space of BV(Ω) that is equal ...
  • Monge-Ampère Equation 
    Berjawi, Fatima (2024-05-09)
    In this work, we focus on studying the Aleksandrov solution of the Monge-Ampère equation. Initially, we develop the notion of a normal mapping and discuss its properties through proving concepts from convex analysis. ...
  • 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 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 ...
  • Optimal Mass Transport 
    Baalbaki, Lara (2022-05-18)
    Mass transportation consists of optimizing the cost of transport of “goods” from a source to its target. First, it was stated by Monge in 1781 for a pile of sand, but the applications of this problem appear in different ...

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