Krylov Subspace Spectral Method with Multigrid for a Time-Dependent, Variable-Coefficient Partial Differential Equation

<p>Krylov Subspace Spectral (KSS) methods are traditionally used to solve time-dependent, variable-coefficient PDEs. They are high-order accurate, component-wise methods that are efficient with variable input sizes.</p> <p>This thesis will demonstrate how one can make KSS methods even more efficient by using a Multigrid-like approach for low-frequency components. The essential ingredients of Multigrid, such as restriction, residual correction, and prolongation, are adapted to the timedependent case. Then a comparison of KSS, KSS with Multigrid, KSS-EPI and standard Krylov projection methods will be demonstrated.</p>

Name thesis:degree_name

Master of Science (MS)

Level thesis:degree_level

Masters Thesis

Discipline thesis:degree_discipline

Mathematics

Year dc:date.available

2016

Author dc:creator

• Dozier, Haley Renee

Contributors dc:contributor

• James Lambers
• Haiyan Tian
• Huiqing Zhu

• KSS Methods
• Numerical Methods for Partial Differential Equations
• Numerical Analysis and Computation
• Partial Differential Equations

Repository record dc:identifier

https://aquila.usm.edu/masters_theses/205

OAI identifier oai:identifier

oai:aquila.usm.edu:masters_theses-1223