The Signature in Numerical Algorithms

Particle methods are widely used because they can provide accurate descriptions of evolving measures. Recently it has become clear that by stepping outside the Monte-Carlo paradigm these methods can be of higher order with effective and transparent error bounds. A weakness of particle methods (parti...

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Main Author: Litterer, Christian
Published: University of Oxford 2008
Subjects:
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.490103
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spelling ndltd-bl.uk-oai-ethos.bl.uk-4901032015-03-20T06:25:42ZThe Signature in Numerical AlgorithmsLitterer, Christian2008Particle methods are widely used because they can provide accurate descriptions of evolving measures. Recently it has become clear that by stepping outside the Monte-Carlo paradigm these methods can be of higher order with effective and transparent error bounds. A weakness of particle methods (particularly in the higher order case) is the tendency for the number of particles to explode if the process is iterated and accuracy preserved.518.1University of Oxfordhttp://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.490103Electronic Thesis or Dissertation
collection NDLTD
sources NDLTD
topic 518.1
spellingShingle 518.1
Litterer, Christian
The Signature in Numerical Algorithms
description Particle methods are widely used because they can provide accurate descriptions of evolving measures. Recently it has become clear that by stepping outside the Monte-Carlo paradigm these methods can be of higher order with effective and transparent error bounds. A weakness of particle methods (particularly in the higher order case) is the tendency for the number of particles to explode if the process is iterated and accuracy preserved.
author Litterer, Christian
author_facet Litterer, Christian
author_sort Litterer, Christian
title The Signature in Numerical Algorithms
title_short The Signature in Numerical Algorithms
title_full The Signature in Numerical Algorithms
title_fullStr The Signature in Numerical Algorithms
title_full_unstemmed The Signature in Numerical Algorithms
title_sort signature in numerical algorithms
publisher University of Oxford
publishDate 2008
url http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.490103
work_keys_str_mv AT littererchristian thesignatureinnumericalalgorithms
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