Stability Analysis of Krylov Subspace Spectral Methods for the 1-D Wave Equation in Inhomogeneous Media

<p>Krylov subspace spectral (KSS) methods are high-order accurate, explicit time-stepping methods for partial differential equations (PDEs) that also possess the stability characteristic of implicit methods. Unlike other time-stepping approaches, KSS methods compute each Fourier coefficient of the solution from an individualized approximation of the solution operator of the PDE. As a result, KSS methods scale effectively to higher spatial resolution. This thesis will present a stability analysis of a first-order KSS method applied to the wave equation in inhomogeneous media.</p>

Name thesis:degree_name

Master of Science (MS)

Level thesis:degree_level

Masters Thesis

Year dc:date.available

2020

Author dc:creator

• Rester, Bailey

Contributors dc:contributor

• Dr. James V. Lambers
• Dr. Haiyan Tian
• Dr. Huiqing Zhu

• wave equation
• spectral methods
• stability
• Fourier analysis
• Numerical Analysis and Computation

Repository record dc:identifier

https://aquila.usm.edu/masters_theses/789

OAI identifier oai:identifier

oai:aquila.usm.edu:masters_theses-1842