Creator | Title | Description | Subject | Date | ||
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1 | Ellingson, Drew | Bitangent lines to planar quartic curves in algebraic and tropical geometry | Bitangents are lines which are tangent to a curve at two points. The bitangents of a classical quartic are well understood, and a result originally due to Cayley tells us that there are always precisely 28 bitangents to a generic quartic plane curve. When looking at Tropical Geometry, the situation ... | Tropical geometry; Curves, Quartic; Curves, Algebraic; Bitangents | 2015-04 | |
2 | Turner, Jackson | Expansion method for eigenvalue problems: theories, algorithms, and applications | The Laplacian operator plays a ubiquitous role in the differential equations that describe many physical systems. These include, for example, vibrating membranes, fluid flow, heat flow, and solutions to the Schrödinger equation. In this paper, we investigate a method to find the eigenfunctions of t... | example; computation | 2021 | |
3 | Wang, Wenyi | Imaging in a homogeneous aluminum plate by using ultrasonic waves | This project is about detecting and imaging damage (such as cracks) in a plate by using ultrasonic waves. The waves are generated by a source (an ultrasonic transducer) that is part of a robot that can move on the plate. The waves traveling in the plate are recorded at a receiver (another ultrasonic... | Ultrasonic transducer - Mathematics; Kirchoff migration - Research | 2014-12 |