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## Full-Text Articles in Engineering

Applications Of Fixed Point Theory To Distributed Optimization, Robust Convex Optimization, And Stability Of Stochastic Systems, Seyyed Shaho Alaviani

#### Applications Of Fixed Point Theory To Distributed Optimization, Robust Convex Optimization, And Stability Of Stochastic Systems, Seyyed Shaho Alaviani

*Graduate Theses and Dissertations*

Large-scale multi-agent networked systems are becoming more and more popular due to applications in robotics, machine learning, and signal processing. Although distributed algorithms have been proposed for efficient computations rather than centralized computations for large data optimization, existing algorithms are still suffering from some disadvantages such as distribution dependency or B-connectivity assumption of switching communication graphs. This study applies fixed point theory to analyze distributed optimization problems and to overcome existing difficulties such as distribution dependency or B-connectivity assumption of switching communication graphs. In this study, a new mathematical terminology and a new mathematical optimization problem are defined. It is ...

A Locally-Implicit Lax-Wendroff Discontinuous Galerkin Scheme With Limiters That Guarantees Moment-Realizability For Quadrature-Based Moment Closures, Christine Wiersma

#### A Locally-Implicit Lax-Wendroff Discontinuous Galerkin Scheme With Limiters That Guarantees Moment-Realizability For Quadrature-Based Moment Closures, Christine Wiersma

*Graduate Theses and Dissertations*

A polydisperse multiphase flow is one in which one of the thermodynamic phases can be considered discrete while the other is assumed to be continuous. Examples include sprays and bubbly flows. Such flows can be modeled by kinetic models that describe the evolution of a probability density function (PDF) in phase space. Moments of this PDF describe physical observable quantities such as the mass, momentum, and energy in

the flow. From a computational perspective, kinetic models are expensive to solve since they require the resolution of a very high-dimensional phase space. In many polydisperse multiphase flow applications, the phase space ...