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Multilevel parallel-in-time methods for advection-dominated PDEs

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thesis
posted on 01.12.2021, 23:51 by OLIVER ANDREW KRZYSIK
The predictions arising from the numerical simulation of partial differential equations are used throughout many areas of science. I present, design, and analyse new algorithms for the numerical simulation of partial differential equations that describe time-dependent phenomena, such as those that govern the conduction of electricity through a wire, or that describe the airflow across an airplane wing, for example. For the specific types of equations that I consider, my new algorithms enable these equations to be simulated faster and more efficiently than with existing approaches.

History

Campus location

Australia

Principal supervisor

Tiangang Cui

Additional supervisor 1

Hans De Sterck

Year of Award

2021

Department, School or Centre

Mathematics

Course

Doctor of Philosophy

Degree Type

DOCTORATE

Faculty

Faculty of Science