Volume 5

DOI: 10.1137/11S01089X

Authors: Benjamin Lewis (Calvin College)
Project Advisors: Todd Kapitula (Calvin College)

Abstract: In this paper we define the Evans function for Sturm-Liouville problems. We show that the Evans function is analytic in the spectral parameter, has...

DOI: 10.1137/11S011262

Authors: Mingli Zhong (University of Rochester)
Project Advisors: Nsoki Mavinga (Swarthmore College)

Abstract: This paper concerns applications of the non-autonomous logistic equation to bioeconomic fishery models. We develop a generalized model which satisf...

DOI: 10.1137/10S010715

Authors: Jonathan Graf (Towson University), Olga Stulov (University of New York at New Paltz)
Project Advisors: James Sochacki (James Madison University)

Abstract: Most vehicles are transported by the rotation of wheels. The Department of Mathematics and Statistics and Department of Engineering at James Madiso...

DOI: 10.1137/12S011519

Authors: Sean P. Naughton (New Jersey Institute of Technology), Namrata K. Patel (New Jersey Institute of Technology), Ivana Seric (New Jersey Institute of Technology)
Project Advisors: L. Kondic (New Jersey Institute of Technology), T.-S. Lin (New Jersey Institute of Technology), L. J. Cummings (New Jersey Institute of Technology)

Abstract: This paper discusses modeling of spreading nematic liquid crystal films. We concentrate on gravity driven spreading and consider various instabilit...

DOI: 10.1137/12S011490

Authors: Steven Coulter (The Pennsylvania State University), Helene Dallmann (University of Gottingen)
Project Advisors: Thomas Krainer (The Pennsylvania State University), Michael Weiner (The Pennsylvania State University)

Abstract: In this paper we consider linear ordinary elliptic differential operators with smooth coefficients on finite quantum graphs. We discuss criteria fo...

DOI: 10.1137/11S011444

Authors: Veronica Ciocanel (Duke University)
Project Advisors: Thomas Witelski (Duke University)

Abstract: The string pendulum consists of a mass attached to the end of an inextensible string which is fastened to a support. Applying an external forcing t...

DOI: 10.1137/11S010931

Authors: Anne M. Calder (California State University, Fullerton), Eden A. Ellis (California State University, Fullerton), Li-Hsuan Huang (California State University, Fullerton), Kevin Park (California State University, Fullerton)
Project Advisors: Angel Pineda (California State University, Fullerton)

Abstract: Our project studies the quantification of the uncertainty in fat-fraction estimates using Magnetic Resonance Imaging (MRI). The measured fat fracti...

DOI: 10.1137/11S011365

Authors: Julian Köllermeier (RWTH Aachen University), Lisa Kusch (RWTH Aachen University), Thorsten Lajewski (RWTH Aachen University)
Project Advisors: Martin Frank (RWTH Aachen University)

Abstract: This paper describes a novel approach to simulate tumor oxygenation which is very important because of its relevance for radiotherapy. In fact, it...

DOI: 10.1137/12S01174X

Authors: Julien Leider (University of Illinois at Chicago)
Project Advisors: Jing Wang (University of Illinois at Chicago)

Abstract: This study uses quantile regression combined with time series methods to analyze change in temperatures in Chicago during the period 1960-2010. It...

DOI: 10.1137/12S011799

Authors: Stephen Guo (High Technology High School, Lincroft, NJ), Vineel Chakradhar (High Technology High School, Lincroft, NJ), Daniel Takash (High Technology High School, Lincroft, NJ), Angela Zhou (High Technology High School, Lincroft, NJ), Kevin Zhou (High Technology High School, Lincroft, NJ)
Project Advisors: Ellen LeBlanc (High Technology High School, Lincroft, NJ)

Abstract: High speed rail across the country was expected to usher in economic prosperity, increased interconnectivity, and energy efficiency. Supporters mai...