Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/93865
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Li, B | en_US |
dc.creator | Ma, S | en_US |
dc.date.accessioned | 2022-08-03T01:24:00Z | - |
dc.date.available | 2022-08-03T01:24:00Z | - |
dc.identifier.issn | 0885-7474 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/93865 | - |
dc.language.iso | en | en_US |
dc.publisher | Springer | en_US |
dc.rights | © The Author(s), under exclusive licence to Springer Science+Business Media, LLC part of Springer Nature 2021 | en_US |
dc.rights | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use (https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s10915-021-01438-7 | en_US |
dc.subject | Discontinuous initial data | en_US |
dc.subject | Exponential integrator | en_US |
dc.subject | High-order accuracy | en_US |
dc.subject | Nonlinear parabolic equation | en_US |
dc.subject | Nonsmooth initial data | en_US |
dc.subject | Variable stepsize | en_US |
dc.title | A high-order exponential integrator for nonlinear parabolic equations with nonsmooth initial data | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.volume | 87 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.doi | 10.1007/s10915-021-01438-7 | en_US |
dcterms.abstract | A variable stepsize exponential multistep integrator, with contour integral approximation of the operator-valued exponential functions, is proposed for solving semilinear parabolic equations with nonsmooth initial data. By this approach, the exponential k-step method would have kth-order convergence in approximating a mild solution, possibly nonsmooth at the initial time. In consistency with the theoretical analysis, a numerical example shows that the method can achieve high-order convergence in the maximum norm for semilinear parabolic equations with discontinuous initial data. | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | Journal of scientific computing, Apr. 2021, v. 87, no. 1, 23 | en_US |
dcterms.isPartOf | Journal of scientific computing | en_US |
dcterms.issued | 2021-04 | - |
dc.identifier.scopus | 2-s2.0-85102111438 | - |
dc.identifier.artn | 23 | en_US |
dc.description.validate | 202208 bcfc | en_US |
dc.description.oa | Accepted Manuscript | en_US |
dc.identifier.FolderNumber | AMA-0055 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.pubStatus | Published | en_US |
dc.identifier.OPUS | 54044880 | - |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Li_High-Order_Exponential_Integrator.pdf | Pre-Published version | 790.84 kB | Adobe PDF | View/Open |
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