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Nicholas Moniz

Photo of undergraduate physics and computational math student Nick Moniz


Nick began his undergraduate career as a physics major at the University of Massachusetts Dartmouth.  However, after discovering the deep connection between physics and mathematics, he has since declared a second major in computational mathematics.  Nick has taken a wide variety of courses in physics and computational mathematics including but not limited to Quantum Mechanics, Electricity and Magnetism, Ocean and Atmospheric Science (graduate-level), Physics of Fluids, Numerical Analysis I and II, and Partial Differential Equations.  Nick plans on graduating in the spring of 2014 with his dual-major and continuing his academic career by entering graduate school in pursuit of a doctorate's degree in some area of physics or computational mathematics.  

Current Research

During the summer of 2012, Nick participated in the Computational Science Training for Undergraduates in the Mathematical Sciences (CSUMS) program at the University of Massachusetts Dartmouth (funded by NSF).  During this two and a half month research period, Nick as well as UMass Dartmouth undergraduate students Andrew Davey and Tyler Spilhaus, worked to model the steady-state heat profile over a two-dimensional plate by utilizing the finite element method.  In order to add randomness to the project, the group added a term to Poisson's equation which depended upon space and also included coefficients drawn from a normal distribution at random.  Nick's group then worked on implementing different boundary conditions, such as Dirichlet and Neumann, to see how this affected the steady-state solutions.  

Currently, Nick is working with contour dynamics to model how Kirchhoff vortices interact with one another as well as with their surroundings.  This code was originally written in MATLAB, and Nick plans on transferring the code into a language such as C++ in order to improve its efficiency.  He is also working modifying this contour dynamics code to model bare monopole as well as shielded vortices in order to reproduce results obtained by Dritschel and McWilliams.  

Conferences and Poster Presentations

Nick attended the 2012 SIAM Annual Meeting in Minneapolis, MN.  This conference provided a broad view of the state of the art in applied mathematics, computational science, and their applications through invited presentation, prize lectures, minisymposia, and contributed papers and posters.