Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/77176
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dc.contributorDepartment of Applied Mathematicsen_US
dc.creatorJin, Ben_US
dc.creatorLi, Ben_US
dc.creatorZhou, Zen_US
dc.date.accessioned2018-07-30T08:26:43Z-
dc.date.available2018-07-30T08:26:43Z-
dc.identifier.issn1064-8275en_US
dc.identifier.urihttp://hdl.handle.net/10397/77176-
dc.language.isoenen_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.rights© 2017, Society for Industrial and Applied Mathematics.en_US
dc.rightsPosted with permission of the publisher.en_US
dc.rightsThe following publication Jin, B., Li, B., & Zhou, Z. (2017). Correction of high-order BDF convolution quadrature for fractional evolution equations. SIAM Journal on Scientific Computing, 39(6), A3129-A3152 is available at https://dx.doi.org/ 10.1137/17M1118816en_US
dc.subjectBackward differentiation formulasen_US
dc.subjectConvolution quadratureen_US
dc.subjectError estimatesen_US
dc.subjectFractional evolution equationen_US
dc.subjectIncompatible dataen_US
dc.subjectInitial correctionen_US
dc.subjectNonsmoothen_US
dc.titleCorrection of high-order BDF convolution quadrature for fractional evolution equationsen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spageA3129en_US
dc.identifier.epageA3152en_US
dc.identifier.volume39en_US
dc.identifier.issue6en_US
dc.identifier.doi10.1137/17M1118816en_US
dcterms.abstractWe develop proper correction formulas at the starting k − 1 steps to restore the desired kth-order convergence rate of the k-step BDF convolution quadrature for discretizing evolution equations involving a fractional-order derivative in time. The desired kth-order convergence rate can be achieved even if the source term is not compatible with the initial data, which is allowed to be nonsmooth. We provide complete error estimates for the subdiffusion case α ∈ (0, 1) and sketch the proof for the diffusion-wave case α ∈ (1, 2). Extensive numerical examples are provided to illustrate the effectiveness of the proposed scheme.en_US
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationSIAM journal on scientific computing, 2017, v. 39, no. 6, p. A3129-A3152en_US
dcterms.isPartOfSIAM journal on scientific computingen_US
dcterms.issued2017-
dc.identifier.scopus2-s2.0-85039982079-
dc.identifier.eissn1095-7197en_US
dc.identifier.rosgroupid2017001714-
dc.description.ros2017-2018 > Academic research: refereed > Publication in refereed journalen_US
dc.description.validate201807 bcrcen_US
dc.description.oaVersion of Recorden_US
dc.identifier.FolderNumbera0602-n03-
dc.identifier.SubFormID548-
dc.description.fundingSourceRGCen_US
dc.description.fundingText15300817en_US
dc.description.pubStatusPublisheden_US
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