Volume 9

DOI: 10.1137/16S015103

Authors: Devavrat V. Dabke (Duke University), Eva E. Arroyo (Duke University)
Project Advisors: Anita T. Layton (Duke University)

Abstract: We constructed the “ISTK" model to approximate the spread of viral information - a rumor - through a given (social) network. Initially, we used a s...

DOI: 10.1137/16S015425

Authors: Caitlin Oleson (University of Nevada, Reno)
Project Advisors: Marc Artzrouni (University of Pau, Pau, France)

Abstract: Since late 2015 there has been an outbreak of Zika virus disease in South and Central America. This is particularly alarming because of its connect...

DOI: 10.1137/15S013880

Authors: Sebastian Haigler (Youngstown State University), Ashley Orr (Youngstown State University), Eric Shehadi (Youngstown State University), Jenna Wise (Youngstown State University), Kristi Yazvac (Youngstown State University)
Project Advisors: Thomas Wakefield (Youngstown State University)

Abstract: The geographical area which a given police officer patrols is known as a beat. Unfortunately, the beats in Youngstown, Ohio, had been the same for...

DOI: 10.1137/16S015152

Authors: Xiaoyi Gu (UCLA), Shenyinying Tu (UCLA)
Project Advisors: Deanna Needell (Claremont McKenna College)

Abstract: Compressive sensing (CS) is a new technology which allows the acquisition of signals directly in compressed form, using far fewer measurements than...

DOI: 10.1137/16S015139

Authors: Anna Grim (University of St. Thomas, St. Paul, MN)
Project Advisors: Chehrzad Shakiban (University of St. Thomas, St. Paul, MN)

Abstract: We present several algorithms that use invariant cumulative histograms to non-invasively diagnose tumors detected on a mammogram. First, we define...

DOI: 10.1137/15S014617

Authors: Jamilia Johnson (Michigan State University), Cheyenne Peters (Michigan State University), Asia Youngblood (Michigan State University), Aaron Crump (Wayne State University)
Project Advisors: Tsvetanka Sendova (Michigan State University)

Abstract: We create two models based on systems of ordinary differential equations (ODEs) to study how normal, benign, metastatic, and immune cell population...

DOI: 10.1137/16S015176

Authors: Sarah Malick (Clemson University)
Project Advisors: Leo Rebholz (Clemson University)

Abstract: We prove, for Stokes, Oseen, and Boussinesq finite element discretizations on general meshes, that grad-div stabilized Taylor-Hood velocity solutio...

DOI: 10.1137/15S014757

Authors: Thomas Bassine (University of Connecticut), Bryan Cooley (Eastern Tennessee State University), Kenneth Jutz (North Carolina State University), Lisa Mitchell (Brigham Young University)
Project Advisors: Pierre Gremaud (North Carolina State University)

Abstract: When analyzing high-dimensional input/output systems, it is common to perform sensitivity analysis to identify important variables and reduce the c...

DOI: 10.1137/15S014484

Authors: Ricky Salgado (Wilbur Wright College) , Emiliano Velazquez (Wilbur Wright College)
Project Advisors: Hellen Colman (Wilbur Wright College)

Abstract: The topological complexity is a numerical invariant which measures the number of commands an autonomous robot needs in order to move in a space to...

DOI: 10.1137/16S015322

Authors: Anirudh Suresh (St. John’s School, Houston, TX), Eric Gao (St. John’s School, Houston, TX), Margaret Trautner (St. John’s School, Houston, TX), Daniel Shebib (St. John’s School, Houston, TX), Nancy Cheng (St. John’s School, Houston, TX)
Project Advisors: Dwight Raulston (St. John’s School, Houston, TX)

Abstract: We live in an era of unprecedented mobility—vehicles are much more affordable than they were at their inception in the early 20th century, and publ...