Novel Integration in Time Methods via Deferred Correction Formulations and Space-Time Parallelization

Public Deposited
Analytics

Downloadable Content

Download PDF
Request Version for Screen Reader
Last Modified
  • March 19, 2019
Creator
  • Brandon, Namdi
    • Affiliation: College of Arts and Sciences, Department of Mathematics
Abstract
  • A major avenue of research in numerical analysis is creating algorithms in order to decrease the amount of computational time in numerical simulations while maintaining high accuracy. Notably when modeling PDE systems, much effort has been focused in creating methods that undergo the spatial calculations very quickly and accurately. Even with these results, simulations may still take too long, limiting the robustness of a numerical model. Hence, a new research direction is to create methods that decrease runtime by focusing on the temporal direction. The subject of this dissertation is the development of algorithms that decrease runtime by taking acount of temporal properties, and when possible coupling both temporal spatial properties, of time-dependent differential equations.
Date of publication
Keyword
Subject
DOI
Identifier
Resource type
Rights statement
  • In Copyright
Advisor
  • Huang, Jingfang
  • Forest, M. Gregory
  • Adalsteinsson, David
  • Miller, Laura
  • Prins, Jan
Degree
  • Doctor of Philosophy
Degree granting institution
  • University of North Carolina at Chapel Hill Graduate School
Graduation year
  • 2015
Language
Publisher
Place of publication
  • Chapel Hill, NC
Access right
  • There are no restrictions to this item.
Date uploaded
  • August 25, 2015

Relations

Parents:

This work has no parents.

Items

Thumbnail Title Date Uploaded Visibility Actions
file details Brandon_unc_0153D_15557.pdf 2019-04-10 Public Download