Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/96241
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dc.contributorDepartment of Applied Mathematicsen_US
dc.creatorWillert, Jen_US
dc.creatorChen, Xen_US
dc.creatorKelley, CTen_US
dc.date.accessioned2022-11-14T04:07:05Z-
dc.date.available2022-11-14T04:07:05Z-
dc.identifier.issn0036-1429en_US
dc.identifier.urihttp://hdl.handle.net/10397/96241-
dc.language.isoenen_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.rights© 2015 Society for Industrial and Applied Mathematicsen_US
dc.rightsThe following publication Willert, J., Chen, X., & Kelley, C. T. (2015). Newton's method for Monte Carlo--based residuals. SIAM Journal on Numerical Analysis, 53(4), 1738-1757 is available at https://doi.org/10.1137/130905691.en_US
dc.subjectJFNK methodsen_US
dc.subjectMonte Carlo simulationen_US
dc.subjectNeutron transporten_US
dc.subjectNewton's methoden_US
dc.titleNewton's method for Monte Carlo-based residualsen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage1738en_US
dc.identifier.epage1757en_US
dc.identifier.volume53en_US
dc.identifier.issue4en_US
dc.identifier.doi10.1137/130905691en_US
dcterms.abstractWe analyze the behavior of inexact Newton methods for problems where the nonlinear residual, Jacobian, and Jacobian-vector products are the outputs of Monte Carlo simulations. We propose algorithms which account for the randomness in the iteration, develop theory for the behavior of these algorithms, and illustrate the results with an example from neutronics.en_US
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationSIAM journal on numerical analysis, 2015, v. 53, no. 4, p. 1738-1757en_US
dcterms.isPartOfSIAM journal on numerical analysisen_US
dcterms.issued2015-
dc.identifier.scopus2-s2.0-84941067603-
dc.identifier.eissn1095-7170en_US
dc.description.validate202211 bcwwen_US
dc.description.oaVersion of Recorden_US
dc.identifier.FolderNumberRGC-B3-0139-
dc.description.fundingSourceRGCen_US
dc.description.pubStatusPublisheden_US
dc.description.oaCategoryVoR alloweden_US
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