Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/93297
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Li, J | en_US |
dc.creator | Li, X | en_US |
dc.creator | Ju, L | en_US |
dc.creator | Feng, X | en_US |
dc.date.accessioned | 2022-06-15T03:42:40Z | - |
dc.date.available | 2022-06-15T03:42:40Z | - |
dc.identifier.issn | 1064-8275 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/93297 | - |
dc.language.iso | en | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.rights | © 2021 Society for Industrial and Applied Mathematics | en_US |
dc.rights | The following publication Li, J., Li, X., Ju, L., & Feng, X. (2021). Stabilized integrating factor Runge--Kutta method and unconditional preservation of maximum bound principle. SIAM Journal on Scientific Computing, 43(3), A1780-A1802 is available at https://doi.org/10.1137/20M1340678 | en_US |
dc.subject | High-order method | en_US |
dc.subject | Integrating factor Runge-Kutta method | en_US |
dc.subject | Maximum bound principle | en_US |
dc.subject | Semilinear parabolic equations | en_US |
dc.subject | Stabilization | en_US |
dc.title | Stabilized integrating factor Runge--Kutta method and unconditional preservation of maximum bound principle | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | A1780 | en_US |
dc.identifier.epage | A1802 | en_US |
dc.identifier.volume | 43 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.doi | 10.1137/20M1340678 | en_US |
dcterms.abstract | The maximum bound principle (MBP) is an important property for a large class of semilinear parabolic equations, in the sense that the time-dependent solution of the equation with appropriate initial and boundary conditions and nonlinear operator preserves for all time a uniform pointwise bound in absolute value. It has been a challenging problem to design unconditionally MBP-preserving high-order accurate time-stepping schemes for these equations. In this paper, we combine the integrating factor Runge-Kutta (IFRK) method with the linear stabilization technique to develop a stabilized IFRK (sIFRK) method, and we successfully derive sufficient conditions for the proposed method to preserve the MBP unconditionally in the discrete setting. We then elaborate some sIFRK schemes with up to the third-order accuracy, which are proven to be unconditionally MBP-preserving by verifying these conditions. In addition, it is shown that many classic strong stability-preserving sIFRK schemes do not satisfy these conditions except the first-order one. Extensive numerical experiments are also carried out to demonstrate the performance of the proposed method. | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | SIAM journal on scientific computing, 2021, v. 43, no. 3, p. A1780-A1802 | en_US |
dcterms.isPartOf | SIAM journal on scientific computing | en_US |
dcterms.issued | 2021 | - |
dc.identifier.scopus | 2-s2.0-85105734496 | - |
dc.identifier.eissn | 1095-7197 | en_US |
dc.description.validate | 202206 bcfc | en_US |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | AMA-0051 | - |
dc.description.fundingSource | Others | en_US |
dc.description.fundingText | NSFC | en_US |
dc.description.pubStatus | Published | en_US |
dc.identifier.OPUS | 53812676 | - |
Appears in Collections: | Journal/Magazine Article |
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File | Description | Size | Format | |
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20m1340678.pdf | 1.23 MB | Adobe PDF | View/Open |
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