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Some splitting methods for hyperbolic PDEs.

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Title: Some splitting methods for hyperbolic PDEs.
Authors: Hosseini, Rasool1 (AUTHOR) rasool.hosseini@math.iut.ac.ir, Tatari, Mehdi1,2 (AUTHOR) mtatari@cc.iut.ac.ir
Source: Applied Numerical Mathematics. Dec2019, Vol. 146, p361-378. 18p.
Subjects: Burgers' equation, Nonlinear equations, Maximum principles (Mathematics)
Abstract: In this work, a new splitting technique is implemented for solving hyperbolic PDEs. As the main result, the new methods preserve the maximum principle unconditionally or with a mild condition on discretization parameters in comparison with well known methods. Damping of numerical solution in time evolution is investigated. For numerical solution of the Burgers' equation, as a nonlinear problem, an iterative method based on the new splitting technique is presented. Efficiency of the new methods is examined via numerical examples. [ABSTRACT FROM AUTHOR]
Copyright of Applied Numerical Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 138228198
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Some splitting methods for hyperbolic PDEs.
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  Data: <searchLink fieldCode="AR" term="%22Hosseini%2C+Rasool%22">Hosseini, Rasool</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> rasool.hosseini@math.iut.ac.ir</i><br /><searchLink fieldCode="AR" term="%22Tatari%2C+Mehdi%22">Tatari, Mehdi</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> mtatari@cc.iut.ac.ir</i>
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  Data: <searchLink fieldCode="JN" term="%22Applied+Numerical+Mathematics%22">Applied Numerical Mathematics</searchLink>. Dec2019, Vol. 146, p361-378. 18p.
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  Data: In this work, a new splitting technique is implemented for solving hyperbolic PDEs. As the main result, the new methods preserve the maximum principle unconditionally or with a mild condition on discretization parameters in comparison with well known methods. Damping of numerical solution in time evolution is investigated. For numerical solution of the Burgers' equation, as a nonlinear problem, an iterative method based on the new splitting technique is presented. Efficiency of the new methods is examined via numerical examples. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Applied Numerical Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1016/j.apnum.2019.07.005
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
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        PageCount: 18
        StartPage: 361
    Subjects:
      – SubjectFull: Burgers' equation
        Type: general
      – SubjectFull: Nonlinear equations
        Type: general
      – SubjectFull: Maximum principles (Mathematics)
        Type: general
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      – TitleFull: Some splitting methods for hyperbolic PDEs.
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            NameFull: Hosseini, Rasool
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            NameFull: Tatari, Mehdi
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            – D: 01
              M: 12
              Text: Dec2019
              Type: published
              Y: 2019
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              Value: 146
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            – TitleFull: Applied Numerical Mathematics
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