Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/74469
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | - |
dc.creator | Jin, B | - |
dc.creator | Li, B | - |
dc.creator | Zhou, Z | - |
dc.date.accessioned | 2018-03-29T07:16:53Z | - |
dc.date.available | 2018-03-29T07:16:53Z | - |
dc.identifier.issn | 0029-599X | - |
dc.identifier.uri | http://hdl.handle.net/10397/74469 | - |
dc.language.iso | en | en_US |
dc.publisher | Springer | en_US |
dc.rights | ©The Author(s) 2017. This article is an open access publication | en_US |
dc.title | Discrete maximal regularity of time-stepping schemes for fractional evolution equations | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 101 | - |
dc.identifier.epage | 131 | - |
dc.identifier.volume | 138 | - |
dc.identifier.issue | 1 | - |
dc.identifier.doi | 10.1007/s00211-017-0904-8 | - |
dcterms.abstract | In this work, we establish the maximal (Formula presented.)-regularity for several time stepping schemes for a fractional evolution model, which involves a fractional derivative of order (Formula presented.), (Formula presented.), in time. These schemes include convolution quadratures generated by backward Euler method and second-order backward difference formula, the L1 scheme, explicit Euler method and a fractional variant of the Crank–Nicolson method. The main tools for the analysis include operator-valued Fourier multiplier theorem due to Weis (Math Ann 319:735–758, 2001. doi:10.1007/PL00004457) and its discrete analogue due to Blunck (Stud Math 146:157–176, 2001. doi:10.4064/sm146-2-3). These results generalize the corresponding results for parabolic problems. | - |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | Numerische mathematik, 2018, v. 138, no. 1, p. 101-131 | - |
dcterms.isPartOf | Numerische mathematik | - |
dcterms.issued | 2018 | - |
dc.identifier.scopus | 2-s2.0-85025426346 | - |
dc.identifier.eissn | 0945-3245 | - |
dc.identifier.rosgroupid | 2017001716 | - |
dc.description.ros | 2017-2018 > Academic research: refereed > Publication in refereed journal | - |
dc.description.validate | 201802 bcrc | - |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | OA_IR/PIRA | en_US |
dc.description.pubStatus | Published | en_US |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
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Jin2018_Article_DiscreteMaximalRegularityOfTim.pdf | 600.13 kB | Adobe PDF | View/Open |
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