Date of Award
Spring 5-2018
Degree Type
Masters Thesis
Degree Name
Master of Science (MS)
Department
Mathematics
Committee Chair
James Lambers
Committee Chair Department
Mathematics
Committee Member 2
Haiyan Tian
Committee Member 2 Department
Mathematics
Committee Member 3
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
Copyright
2018, Vivian Ashley Montiforte
Recommended Citation
Montiforte, Vivian Ashley, "Automatic Construction of Scalable Time-Stepping Methods for Stiff PDES" (2018). Master's Theses. 343.
https://aquila.usm.edu/masters_theses/343