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Filtering by: Alternative title ssim Polynomial Chaos for Dispersive Electromagnetics Remove constraint Alternative title ssim: Polynomial Chaos for Dispersive Electromagnetics Resource Type Capstone Project Remove constraint Resource Type: Capstone Project

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  • Polynomial Chaos Expansions for Random Ordinary Differential Equations

    Creator:
    McKenzie, Brian
    Abstract:
    We consider numerical methods for finding approximate solutions to Ordinary Differential Equations (ODEs) with parameters distributed with some probability by the Generalized Polynomial Chaos (GPC) approach. In particular, we consider those with forcing functions that have a random parameter in both the scalar and vector case. We then consider linear...
    Resource Type:
    Capstone Project
    Full Text:
    Polynomial Chaos Expansions for Random Ordinary

  • Electromagnetic Inverse Problem for Relaxation Time Distribution in the Time-Domain

    Creator:
    Armentrout, Megan
    Abstract:
    We consider wide bandwidth electromagnetic pulse interrogation problems for the determination of dielectric response parameters in complex dispersive materials. We couple Maxwell’s equations with an auxiliary ODE modeling dielectric polarization. A problem of particular interest is to identify parameters in a standard polarization model (e.g., Debye or Lorentz) using time-domain...
    Resource Type:
    Capstone Project
    Full Text:
    generalized Polynomial Chaos in the forward problem. 1 Introduction Electromagnetic (EM) waves are a part of