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CSW Student Presents Independent Work at American Mathematical Society Meeting
CSW student Seung Hyun Kim ’14 was recently invited to present his independent math work at the American Mathematical Society’s Fall Eastern Sectional Meeting at Temple University in Philadelphia, PA on October 12, 2013.
CSW student Seung Hyun Kim ’14 was recently invited to present his independent math work at the American Mathematical Society’s Fall Eastern Sectional Meeting at Temple University in Philadelphia, PA on October 12, 2013.
Seung Hyun’s presentation was part of a special session on Partial Differential Equations, Stochastic Analysis, and Applications to Mathematical Finance, II. His presentation was titled An effective transform method for the computation of the free boundary in a one-phase Stefan problem. Preliminary Report.
The program for Seung Hyun’s session described his work for attendees. “In this paper, we present an effective computation method for the free boundary in an one-phase Stefan problem by changing the curvy domain to a rectangular domain. The numerical result obtained by our method with a quadratic equation for the free boundary is compared with the exact solution. With the same method, we suggest the solution for a nonlinear Stefan problem.”
Over the past summer, Seung Hyun worked from his home country of South Korea to further develop his independent math research. Assisted with information from a few university professors, Seung Hyun's focus was to develop a new method to calculate a nonlinear Stefan problem. A Stefan problem (also known as a Stefan task) is a particular kind of boundary value problem for a partial difference equation, adapted to the case in which a phase boundary can move with time. He submitted his work to the American Mathematical Society in July of 2013 and was then invited to present his findings at the Fall Eastern Sectional Meeting in October.
When asked how CSW has influenced his math studies and his habits as a student and a learner, Seung Hyun had a lot to share.
“I cannot pick one teacher at CSW who influenced my mathematical creativity,” said Seung Hyun.
“I’ve taken math with a number of different teachers here and they have affected me and taught me in a number of different ways and have transformed me into who I am now. I think the power of CSW is that it not only creative, but flexible. When I wanted to create my own independent study that may include material that is outside of the general class knowledge, the school allows me to do that. In that way, I can flourish.”
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Seung Hyun’s presentation was part of a special session on Partial Differential Equations, Stochastic Analysis, and Applications to Mathematical Finance, II. His presentation was titled An effective transform method for the computation of the free boundary in a one-phase Stefan problem. Preliminary Report.
The program for Seung Hyun’s session described his work for attendees. “In this paper, we present an effective computation method for the free boundary in an one-phase Stefan problem by changing the curvy domain to a rectangular domain. The numerical result obtained by our method with a quadratic equation for the free boundary is compared with the exact solution. With the same method, we suggest the solution for a nonlinear Stefan problem.”
Over the past summer, Seung Hyun worked from his home country of South Korea to further develop his independent math research. Assisted with information from a few university professors, Seung Hyun's focus was to develop a new method to calculate a nonlinear Stefan problem. A Stefan problem (also known as a Stefan task) is a particular kind of boundary value problem for a partial difference equation, adapted to the case in which a phase boundary can move with time. He submitted his work to the American Mathematical Society in July of 2013 and was then invited to present his findings at the Fall Eastern Sectional Meeting in October.
When asked how CSW has influenced his math studies and his habits as a student and a learner, Seung Hyun had a lot to share.
“I cannot pick one teacher at CSW who influenced my mathematical creativity,” said Seung Hyun.
“I’ve taken math with a number of different teachers here and they have affected me and taught me in a number of different ways and have transformed me into who I am now. I think the power of CSW is that it not only creative, but flexible. When I wanted to create my own independent study that may include material that is outside of the general class knowledge, the school allows me to do that. In that way, I can flourish.”
CSW—a gender-inclusive day and boarding school for grades 9-12—is a national leader in progressive education. We live out our values of inquiry-based learning, student agency, and embracing diverse perspectives in every aspect of our student experience. Young people come to CSW to learn how to learn and then put what they learn into action—essential skills they carry into their futures as doers, makers, innovators, leaders, and exceptional humans who do meaningful work in the world.