Essays about: "parabolic equation"

Showing result 1 - 5 of 11 essays containing the words parabolic equation.

  1. 1. Parabolic equation models simulating LoS MIMO conditions

    University essay from Karlstads universitet/Institutionen för ingenjörsvetenskap och fysik (from 2013)

    Author : Zarafshan Carneil; [2023]
    Keywords : MIMO; channel capacity; phase difference; MIMO phase;

    Abstract : This thesis explores and develops a simulation model for Line of Sight(LoS) Multiple-Input Multiple-Output (MIMO) systems in complex environments. The focus will be on implementing a 2 × 2-MIMO system in order to study phase differences of the received signals. READ MORE

  3. 2. Improved Statistical Methods for Elliptic Stochastic Homogenization Problems : Application of Multi Level- and Multi Index Monte Carlo on Elliptic Stochastic Homogenization Problems

    University essay from Uppsala universitet/Tillämpad beräkningsvetenskap

    Author : Khalil Daloul; [2023]
    Keywords : Homogenization; Multilevel Monte Carlo; Multi-Index Monte Carlo; Monte Carlo; Multiscale methods;

    Abstract : In numerical multiscale methods, one relies on a coupling between macroscopic model and a microscopic model. The macroscopic model does not include the microscopic properties that the microscopic model offers and that are vital for the desired solution. READ MORE

  4. 3. Moving in the dark : Mathematics of complex pedestrian flows

    University essay from Karlstads universitet/Fakulteten för hälsa, natur- och teknikvetenskap (from 2013)

    Author : Meghashyam Veluvali; [2023]
    Keywords : Mathematical modelling of pedestrian dynamics; stochastic systems; evacuation time; random walk method; parabolic equation; finite difference method;

    Abstract : The field of mathematical modelling for pedestrian dynamics has attracted significant scientific attention, with various models proposed from perspectives such as kinetic theory, statistical mechanics, game theory and partial differential equations. Often such investigations are seen as being a part of a new branch of study in the domain of applied physics, called sociophysics. READ MORE

  5. 4. Finite Element Approximation of a Moving Boundary Problem Arising in the Modeling of the Spin Coating Process for Thin Films

    University essay from Karlstads universitet/Institutionen för matematik och datavetenskap (from 2013)

    Author : Kristos Qiqi; [2020]
    Keywords : Moving boundary; FEM approximation; Navier-Stokes equations; Spin coating;

    Abstract : Using the Navier-Stokes equations along with a continuity equation, a one-dimensional model is developed to describe the spin coating process of thin polymeric films. The resulting model is a system of a parabolic partial differential equation coupled with an integral equation as well as with an ordinary differential equation describing the motion of a moving boundary. READ MORE

  6. 5. Propagation of Radio Waves in a Realistic Environment using a Parabolic Equation Approach

    University essay from Linköpings universitet/Teoretisk Fysik

    Author : Jonas Ehn; [2019]
    Keywords : Electromagnetic fields; wave propagation; radar; parabolic equation; split-step Fourier method;

    Abstract : Radars are used for range estimation of distant objects. They operate on the principle of sending electromagnetic pulses that are reflected off a target. This leads to the propagation of electromagnetic waves over large distances. As the waves propagate, they are affected by several aspects that decrease the performance of the radar system. READ MORE