Volume 3

DOI: 10.1137/10S010612

Authors: Anil Damle (University of Colorado at Boulder), Geoffrey Colin Peterson (University of Colorado at Boulder)
Project Advisors: James Currry (University of Colorado at Boulder), Anne Dougherty (University of Colorado at Boulder)

Abstract: We examine the eigenstructure of generalized isosceles triangles and explore the possibilities of analytic solutions to the general eigenvalue prob...

DOI: 10.1137/10S010697

Authors: Andrew Das Sarma (Montgomery Blair High School, Silver Spring, MD), Jacob Hurwitz (Montgomery Blair High School, Silver Spring, MD), David Tolnay (Montgomery Blair High School, Silver Spring, MD), Scott Yu (Montgomery Blair High School, Silver Spring, MD)
Project Advisors: David Stein (Montgomery Blair High School, Silver Spring, MD)

Abstract: With so much political and economic interest behind accurate results for the United States Census, the Census Bureau has implemented several strate...

DOI: 10.1137/10S010636

Authors: Michael R. Atkins (George Mason University)
Project Advisors: Daniel Anderson (George Mason University), Maria Emelianenko (George Mason University), Yuri Mishin (George Mason University)

Abstract: Microstructural evolution is a phenomenon of paramount importance in various areas of industry; its understanding is critical for designing materia...

DOI: 10.1137/09S010526

Authors: Taylor Hines (Arizona State University)
Project Advisors: Eric Kostelich (Arizona State University)

Abstract: When developing an accurate model of the development of glioblastomas multiforme, it is important to account not only for the invasion and diffusio...

DOI: 10.1137/09S010563

Authors: Dennis S. Fillebrown (Bucknell University)
Project Advisors: Linda B. Smolka (Bucknell University)

Abstract: We numerically solve a fourth order nonlinear partial differential equation derived by Craster and Matar [Craster and Matar, J. Fluid Mech. 553, 85...

DOI: 10.1137/10S010582

Authors: Mark Spanier (North Dakota State University)
Project Advisors: Marian Bocea (North Dakota State University)

Abstract: The Euler-Lagrange equations associated to the problem of minimizing a power-law functional acting on symmetrized gradients are identified. A forma...

DOI: 10.1137/10S010594

Authors: Jeremy Semko (Duke University)
Project Advisors: Thomas Witelski (Duke University)

Abstract: Thin layers of slow-moving, viscous fluids coating hydrophobic surfaces are shaped by the competing forces of disjoining pressure and surface tensi...

DOI: 10.1137/09S010459

Authors: Mike Egesdal (University of California, Los Angeles), Chris Fathauer (Harvey Mudd College), Kym Louie (Harvey Mudd College), Jeremy Neuman (University of California, Los Angeles)
Project Advisors: George Mohler (University of California, Los Angeles), Erik Lewis (University of California, Los Angeles)

Abstract: Gang violence has plagued the Los Angeles policing district of Hollenbeck for over half a century. With sophisticated models, police may better und...

DOI: 10.1137/09S010435

Authors: Mary E. Broadbent (Amherst College), Martin Brown (University of California, Berkeley), Kevin Penner (University of Pittsburgh)
Project Advisors: Ilse Ipsen (North Carolina State University), Rizwana Rehman (North Carolina State University)

Abstract: Subset selection is a method for selecting a subset of columns from a real matrix, so that the subset represents the entire matrix well and is far...

DOI: 10.1137/10S010648

Authors: Jeremiah Jones (Arizona State University)
Project Advisors: Carl Gardner (Arizona State University)

Abstract: Ionic channels play an important role in regulating the cell's membrane potential and internal charge. This paper will focus on a continuum model o...