AMSC 663-664 Projects, 2004-2005
Below are the links to each student's AMSC 663-664 project webpage.
- Purnendu Chakraborty
e-mail: purnendu "at" math.umd.edu
Project Title:
Molecular Dynamics Simulation of a Course Grained Model for Water
Droplets Coated with Fatty Acid
Project Supervisor: Dr. Michael Zachariah
Abstract: Controlling particle size is a major challenge in the formation
of nanoparticles. One of the approaches has been to coat the
particle with a material that would prevent or retard particle
agglomeration and coalescence. In this project we consider a
model problem in which we investigate, using Molecular Dynamics,
the effect of coating water droplets with fatty acid. The
overall approach involves simplified representation of water,
alkanes and the carboxylic group and implementing, for each type
of molecule, a model that mimics key physical or structural
features that is known from experiments or atomistic simulations.
- Bing Zhang
e-mail: zhangb "at" math.umd.edu
Project Title:
MC Simulation of a
First-Passage Time Problem in Equity Market Driven by Levy
Processes
Project Supervisor: Dr. Dilip B. Madan
Abstract: Basket Equity Default Swaps (Basket EDS) is a newly emerging
financial contract that compensates the contract buyer when the
underlying stock prices drop to prescribed low
boundaries. Amongst all technical challenges, the joint
probability distribution of passage time of the price path
hitting the low boundaries has remained largely unclear which
poses significant difficulties in pricing the financial
claim. This project, assuming the underlying driven by Levy
processes, employs Monte Carlo simulation to approach to solve
the problem.
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