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Automatic Frechet differentiation for the numerical solution of boundary-value problems

Abstract:

A new solver for nonlinear boundary-value problems (BVPs) in Matlab is presented, based on the Chebfun software system for representing functions and operators automatically as numerical objects. The solver implements Newton's method in function space, where instead of the usual Jacobian matrices, the derivatives involved are Frechet derivatives. A major novelty of this approach is the application of automatic differentiation (AD) techniques to compute the operator-valued Frechet derivatives ...

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Publisher:
ACM
Publication date:
2010-11-01
UUID:
uuid:80911e90-a650-42fa-ae77-a9bebea7c157
Local pid:
oai:eprints.maths.ox.ac.uk:1023
Deposit date:
2011-05-20

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