Cameron University students present research at world’s largest mathematics meeting

Five Cameron University mathematics students presented the outcomes of their recent research projects during the Joint Mathematics Meeting, the largest mathematics conference in the world, in mid-January. Michael Demmin, Joseph Morgan, Upama Neupane, Hella Quinnett and Samundra Regmi each made oral presentations during the conference.

“Participation at the annual Joint Mathematics Meeting provides an outstanding opportunity for Cameron students to share their research outcomes,” says Dr. Narayan Thapa, Chair, Department of Mathematical Sciences. “The field of mathematics is vital in the ever-changing fields of technology, computer science, medical research, business and industry. By providing undergraduate research opportunities to students who are majoring in these disciplines, we are enhancing their academic endeavors and strengthening their overall understanding of their chosen career fields.”

Demmin, a mathematics major from Lawton, presented “Parameter Identification in an Initial Boundary Value Problem through Finite Difference Method,” presenting the outcome of a research project that he undertook with fellow student Nadab JuarezFlores. Their research focused on identifying hidden parameters in models with initial and boundary data and also outlines the comparison between numerical and analytical solutions. This model is commonly used in thermal sciences. This research was conducted under the guidance of Dr. Gregory Herring and Dr. Narayan Thapa.

Neupane, Kathmandu, Nepal, and Morgan, Lawton, presented “Pricing European and American Options using Numerical Methods,” which sought the state-of-the-art for predicting valuation of American and European options. Neupane and Morgan, both computer science majors, collaborated with Sharan Khanal in this project. Thapa served as the faculty advisor for the project.

A mathematics major with a minor in computer science major from Nawalparasi, Nepal, Regmi presented “Majorizing Sequences for Iterative Methods with Applications.” His research focuses on a new semi-local convergence analysis for Newton's method in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting and was conducted under the guidance of Dr. Ioannis Argyros.

Quinnett, a mathematics major from Lawton, presented “Solution of Beam Equation with Free Boundaries.” The research focuses on approximating deflection of beams with boundary data. In addition, this research highlights the importance of numerical techniques in beam design and implementation. She conducted her research under Thapa’s guidance.

In addition to making oral presentations, the students took part in the Graduate School Fair, Undergraduate Research Poster Session, and Contributed Paper Sessions that were offered during the Joint Mathematics Meetings.

Funding for the research projects and travel to the Joint Mathematics Meeting was provided through the Gerald Paul Laursen, DDS, MD and Kay Anne Davis Laursen Endowed Lectureship in Mathematical Sciences, the James Eddie Phillips Endowed Lectureship in Mathematical Science, the Bill G. Taylor Endowed Lectureship in the Mathematical Sciences, and a Cameron University Internal Research Grant.

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January 31, 2019