Browsing Theses by Subject "numerical methods"
Now showing items 1-5 of 5
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Cosmological beam plasma instabilities
(University of Waterloo, 2017-08-24)Blazars are the main source of extragalactic very high energy gamma-rays. These gamma rays annihilate on the extragalactic background light, producing electron-positron pair beams with TeV energies. The pair beams are very ... -
An Inverse Finite Element Approach for Identifying Forces in Biological Tissues
(University of Waterloo, 2009-10-01)For centuries physicians, scientists, engineers, mathematicians, and many others have been asking: 'what are the forces that drive tissues in an embryo to their final geometric forms?' At the tissue and whole embryo level, ... -
Investigation of a Jacobian-free Newton-Krylov solution to multiphase flows
(University of Waterloo, 2014-07-22)The current study is focused on investigating a Jacobian-Free Newton-Krylov (JFNK) method to obtain a fully-implicit solution for two phase flows. In the JFNK formulation, the Jacobian matrix is not directly determined ... -
Riemann solvers with non-ideal thermodynamics: exact, approximate, and machine learning solutions
(University of Waterloo, 2022-09-22)The Riemann problem is an important topic in the numerical simulation of compressible flows, aiding the design and verification of numerical codes. A limitation of many of the existing studies is the perfect gas assumption. ... -
Using numerics to explore the EPRL spinfoam amplitude
(University of Waterloo, 2020-08-25)The use of numerical methods in loop quantum gravity is still relatively untapped. Numerical methods are, however, a useful tool, and offer access to regimes that are as of yet inaccessible by analytical methods. This ...