Nov 7
Mathematics and Statistics Colloquium
Thu, November 7, 2019
• 4:00pm
- 5:00pm (1h) • CMC 206
Mary Vaughan
Title: What is a fractional derivative?
Abstract: The notion of fractional calculus was first mentioned around the birth of classical calculus, but it was not until the 1800s that the foundations were set. After a brief discussion of the usual derivative, we will motivate and define the Marchaud fractional derivative. Then, we will discuss how the non-local, one-sided properties of fractional derivatives can be used to capture memory effects in models and, if time permits, how they appear naturally in mechanics.
Title: What is a fractional derivative?
Abstract: The notion of fractional calculus was first mentioned around the birth of classical calculus, but it was not until the 1800s that the foundations were set. After a brief discussion of the usual derivative, we will motivate and define the Marchaud fractional derivative. Then, we will discuss how the non-local, one-sided properties of fractional derivatives can be used to capture memory effects in models and, if time permits, how they appear naturally in mechanics.
Kate Lorenzen
Title: Two graphs, one spectrum
Abstract: Graphs look at objects (vertices) and connections between them (edges). We can associate a graph with a matrix by indexing our rows and columns by the vertices and storing a value in the entry (for example, we can have a value of 1 if our vertices are connected, and a 0 otherwise). Once we have a matrix, we can find its set of eigenvalues (spectrum) which contains some information about the graph. We will overview several different matrices associated with a graph and families of graphs that have the same spectrum.
Event Contact: Sue Jandro
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