This course emphasizes a few applications and gives an in-depth treatment of the more advanced computing techniques, aiming for a level of sophistication representing the best techniques currently known by researchers in the field.
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Typically, the course is organized around three or four application topics such as:
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Analysis of data and parameterization - statistics and optimization methods for massive data sets.
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Molecular dynamics, as in CHARMM - particle dynamics in very large systems
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Determining energy levels of large chemical systems, as in MOPAC - eigenvalues by matrix methods
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Statistical physics - clustering methods
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Collision of black holes - PDE's by adaptive finite difference meshs
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Computational fluid dynamics as in NAS problem from NASA - PDE's by finite differences and finite elements
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Students carry out detailed implementation projects for one or more topics, working either individually or in teams.
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