Date of Award

Spring 5-2018

Degree Type

Masters Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

Committee Chair

Dr. James Lambers

Committee Chair Department

Mathematics

Committee Member 2

Dr. Haiyan Tian

Committee Member 2 Department

Mathematics

Committee Member 3

Dr. Huiqing Zhu

Committee Member 3 Department

Mathematics

Abstract

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.

ORCID ID

https://orcid.org/0000-0002-9140-1146

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