Department of Mathematics and Statistics, University of Nevada, Reno
Title
Multivariate Discrete-time Stochastic Processes: Model and Applications
Abstract
We present a multivariate discrete-time stochastic processes model for three asset classes: US stocks (S&P 500),
international stocks, and US corporate bonds, with four factors: S&P 500 volatility and earnings; bond rates and long-short
term spreads. Our model has annual time steps but allows for monthly/quarterly withdrawals/contributions. Our main tool
is classic multiple linear regression. We fit it using a century of historical data. We test whether innovations are independent identically
distributed. But they are not Gaussian, so we use multivariate kernel density estimation for simulation. We simulated a few scenarios
using a web app. Our research is open source: Python code and historical data is published on GitHub.
Jerett Cherry, Ian Jorquera, John Palmer, Tatum Rask, Sam Scheuerman
Department of Mathematics, Colorado State University
Title
Graduate Summer Intership Panel and Discussion
Abstract
IDA seminar and SIAM Student Chapter at CSU will holst a panel for math graduate students to share their summer internships at various research institutions and industry sectors,
including the Graduate-level Research Industrial Projects for students supported by the Institute for Pure & Applied Mathematics at UCLA, the Los Alamos National Laboratory,
the Boulder Imaging, the Matrix Research, and the Research Insitute at Georgia Tech.
Department of Mechanical Engineering, Colorado State University
Title
Predicting unsteady aerodynamics and aeroacoustics using high-order methods for compressible flows
Abstract
The certification and deployment of emerging aerospace technologies depend on a deeper understanding of compressible flow physics to address challenges
in both aerodynamic performance and noise generation. At low speeds, unmanned aerial vehicles and advanced air-mobility platforms offer new economic opportunities but
require reliable models of flow-induced noise to enable operation in urban environments. At high speeds, renewed interest in supersonic and hypersonic flight, for both
commercial and defense applications, demands better understanding of unsteady shock dynamics and their impact on vehicle performance and structural response.
High-fidelity numerical simulation plays a crucial role in this effort by enabling the dissection of underlying flow mechanisms that drive both aerodynamic loads and acoustic
emissions. In this talk, I will present direct numerical simulations of the compressible Navier–Stokes equations applied to problems in unsteady aerodynamics and aeroacoustics.
Topics will include the prediction of airfoil noise generated by turbulent flows, shock–boundary-layer interaction leading to wing flutter, and supersonic bluff-body wake
dynamics relevant to re-entry vehicles.
