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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Format: | Others |
Language: | en |
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Virginia Tech
2014
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Online Access: | http://hdl.handle.net/10919/28441 http://scholar.lib.vt.edu/theses/available/etd-07282008-135711/ |