Browsing Student Research Day by Author "Ahrendt, Chris R."
Now showing items 1-9 of 9
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Analysis of Stability Regions of Numeric Methods Using the Time Scale Calculus
Ferrell, Erin; Gordon, Adam; Ahrendt, Chris R. (2017-02-21)Working with the time scale calculus, a technique created to unify difference equations and differential equations, we establish a connection between the stability region in the complex plane for a given approximation ... -
An Application of Neural Networks to a Non-Deterministic Game of Imperfect Information
Lydeen, Nicholas; Ahrendt, Chris R. (2017-11-30)Current research into game-playing neural networks emphasizes deterministic games of per- fect information and training with “expert knowledge” such as known successful strategies. As an example, Google’s AlphaGo, a ... -
Applying Neural Networks and Genetic Programming to the Game Lost Cities
Lydeen, Nicholas; Ahrendt, Chris R. (2018-05)The board game Lost Cities is a non-deterministic game of imperfect information. This makes it difficult to construct a reliable AI player without falling back to computationally expensive Monte Carlo search. We investigated ... -
Graph Theoretic Models for RNA Secondary Structure
Ahrendt, Chris R.; Scanlan, McKenzie; Anderson, Nicole; Riehl, Manda (2017-11-09)RNA forms bonds with itself and partially determines how the RNA functions. We investigate some models for this RNA secondary structure using a mathematical object called a matching. Some bonds are more likely than others ... -
Intervals of Existence of Dynamic Equations on Particular Time Scales
Paquin, Robert J. (2012-04)This study analyzed dynamic equations on time scales and the intervals of existence of solutions on a special class of time scales consisting of a finite number of intervals. -
Modeling Small Scale Weather with Cellular Automata
Litzau, Kathryn; Wisby, Matthew (2013-05)A standard two-dimensional cellular automaton is a discrete model that changes over time steps by sets of rules that govern the cells. The purpose of this study was to use cellular automata to model small scale weather patterns. -
Periodic and Almost Periodic Solution Behavior of Four Dynamic Riccati Equations on Time Scales
Dylla, Maxwell; Hopp, Christopher (2015-04)We focus on asymptotic solution behavior of both dynamic Riccati equations on the time scale uZ, where u is a positive real number. Using the time scale calculus, we develop a general solution to the Delta Riccati equation ... -
Removing Singularities of the Generalized Logistic Equation on Time Scales
Wells, Amy; Williams, Tristan (2011-05)A time scale is a non-empty closed subset of the real numbers. This study looks at the generalized logistic equations on time scales. -
Solution Behavior of the Two Dynamic Riccati Equations Over Various Time Scales
Chang, Yeng; Dylla, Maxwell (2014-04)The classic Riccati differential equation is well developed in the literature and has many applications in the field of physics. The purpose of this study was to examine the behavior of two dynamic Riccati equations over ...