Differential algebraic methods for obtaining approximate numerical solutions to the Hamilton-Jacobi equation

I present two differential-algebraic (DA) methods for approximately solving the Hamilton-Jacobi (HJ) equation. I use the “automatic differentiation” property of DA to convert the nonlinear partial-differential HJ equation into a initial-value problem for a DA-valued first-order ordinary differential...

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Bibliographic Details
Main Author: Pusch, Gordon D.
Other Authors: Physics
Format: Others
Language:en
Published: Virginia Tech 2014
Subjects:
Online Access:http://hdl.handle.net/10919/28441
http://scholar.lib.vt.edu/theses/available/etd-07282008-135711/