Browsing University of Waterloo by Subject "numerical methods"
Now showing items 1-7 of 7
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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 ... -
Improved convergence in block copolymer self-consistent field theory by Anderson mixing
(American Institute of Physics, 2004)A modification to real space polymeric self-consistent field theory algorithms that greatly improves the convergence properties is presented. The method is based on Anderson mixing (D. G. Anderson, J. Assoc. Comput. Mach. ... -
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 ... -
Optimization of Policy Evaluation and Policy Improvement Methods in Portfolio Optimization using Quasi-Monte Carlo Methods
(University of Waterloo, 2024-05-24)Machine learning involves many challenging integrals that can be estimated using numerical methods. One application of these methods which has been explored in recent work is the estimation of policy gradients for ... -
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 ...