Automatic Construction of Scalable Time-Stepping Methods for Stiff PDES

<p>Krylov Subspace Spectral (KSS) Methods have been demonstrated to be highly scalable time-stepping methods for stiff nonlinear PDEs. However, ensuring this scalability requires analytic computation of frequency-dependent quadrature nodes from the coefficients of the spatial differential operator. This thesis describes how this process can be automated for various classes of differential operators to facilitate public-domain software implementation.</p>

Name thesis:degree_name

Master of Science (MS)

Level thesis:degree_level

Masters Thesis

Discipline thesis:degree_discipline

Mathematics

Year dc:date.available

2018

Author dc:creator

• Montiforte, Vivian Ashley

Contributors dc:contributor

• James Lambers
• Haiyan Tian
• Huiqing Zhu

• Partial Differential Equations
• Krylov Subspace Spectral Methods
• Frequency-Dependent Nodes
• Stiff
• Nonlinear
• Quadrature Nodes
• Numerical Analysis and Computation

Repository record dc:identifier

https://aquila.usm.edu/masters_theses/343

OAI identifier oai:identifier

oai:aquila.usm.edu:masters_theses-1385