[Mathmajors] SIAMUW Seminar

[SIAM UW]

SIAMUW Seminars

Speaker: Michael Nivala, Applied Mathematics

Title: A better symbolic integrator using homotopy methods

Time: 3:30 PM, Thursday, 4/21/05

Place: Guggenheim Room 408d

Abstract:

Homotopy methods are powerful tools originating in differential geometry 
and the calculus of variations for the integration of exact expressions. 
In one spatial dimensions, this amounts to integrating total derivatives 
of expressions containing unknown functions and their derivatives. Such 
calculations occur frequently when dealing with soliton equations, for 
instance when determining the functional form of consecutive conserved 
densities and their fluxes.

The current version of mathematica fails at even simple examples. Both 
maple and mathematica refuse to integrate expressions that are sums of 
derivative and nonderivative terms, even when the vast majority of the 
terms may be integrated. Combining an optimization approach with the 
homotopy method we present an algorithm for the integration of expressions 
that are not total derivatives, but contain many terms that are.

For more information: http://www.amath.washington.edu/~siamuw

Everyone welcome!

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SIAM-UW
Department of Applied Math
University of Washington
Email: siamuw at amath.washington.edu
Web: http://www.amath.washington.edu/~siamuw