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Coordinate-Independent Computations on Differential Equations

Author(s)
Lin, Kevin K.
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Abstract
This project investigates the computational representation of differentiable manifolds, with the primary goal of solving partial differential equations using multiple coordinate systems on general n- dimensional spaces. In the process, this abstraction is used to perform accurate integrations of ordinary differential equations using multiple coordinate systems. In the case of linear partial differential equations, however, unexpected difficulties arise even with the simplest equations.
Date issued
1998-03-01
URI
http://hdl.handle.net/1721.1/6672
Other identifiers
AIM-1631
Series/Report no.
AIM-1631

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  • AI Memos (1959 - 2004)

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