Browsing Theses by Supervisor "Wan, Justin"
Now showing items 1-4 of 4
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Fast and Scalable Solvers for the Fluid Pressure Equations with Separating Solid Boundary Conditions
(University of Waterloo, 2021-06-01)We propose and evaluate fast, scalable approaches for solving the linear complementarity problems (LCP) arising from the fluid pressure equations with separating solid boundary conditions. Specifically, we present a policy ... -
Numerical Methods for Hamilton-Jacobi-Bellman Equations with Applications
(University of Waterloo, 2019-08-26)Hamilton-Jacobi-Bellman (HJB) equations are nonlinear controlled partial differential equations (PDEs). In this thesis, we propose various numerical methods for HJB equations arising from three specific applications. First, ... -
A Scalable Method for Many Object Fluid-Structure Interaction Simulations
(University of Waterloo, 2022-01-10)Fluid-Structure Interaction (FSI) Simulations are an important technology in many areas of research, including, but not limited to, Computer Graphics, Computational Physics and Engineering. This area is concerned with the ... -
Trust Region Methods for Training Neural Networks
(University of Waterloo, 2017-11-09)Artificial feed-forward neural networks (ff-ANNs) serve as powerful machine learning models for supervised classification problems. They have been used to solve problems stretching from natural language processing to ...