Now showing items 121-125 of 125
Compressive Sensing for 3D Data Processing Tasks: Applications, Models and Algorithms
Compressive sensing (CS) is a novel sampling methodology representing a paradigm shift from conventional data acquisition schemes. The theory of compressive sensing ensures that under suitable conditions compressible signals ...
Newton-Based Methods for Smoothed Risk-Averse PDE-Constrained Optimization Problems
This thesis introduces a modification for traditional, Newton-based methods to improve the efficiency of solving smoothed, risk-averse PDE-constrained optimization problems arising from optimal control applications. Instead ...
A Hybrid Numerical Scheme for Immiscible Two-Phase Flow
This thesis proposes a hybrid numerical scheme for immiscible, two-phase flow in porous media, for two separate partial differential equation (PDE) formulations. Discontinuous Galerkin (DG) methods are a commonly used ...
Integer Programming Approaches to Cancer Treatment: Objective Selection in Intensity-Modulated Radiation Therapy and Chemotherapy Treatment Design
In this thesis, we present multiple problems that arise in cancer treatment decision-making, and we analyze and implement methods used to solve them. The first problem is the selection of objectives that reflect latent ...
ADMM Based Methods for Time-Domain Decomposition Formulations of Optimal Control Problems
This thesis investigates alternating direction method of multipliers (ADMM)-based methods for time-domain decomposition (TDD) formulations of linear-quadratic partial differential equation (PDE)-constrained optimization ...