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Compact finite difference schemes of sixth order for the Helmholtz equation

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Title: Compact finite difference schemes of sixth order for the Helmholtz equation
Authors: Sutmann, Godehard1,2 g.sutmann@fz-juelich.de
Source: Journal of Computational & Applied Mathematics. Jun2007, Vol. 203 Issue 1, p15-31. 17p.
Subjects: Finite differences, Helmholtz equation, Numerical analysis, Error analysis in mathematics
Abstract: Abstract: New compact finite difference schemes of sixth order are derived for the three dimensional Helmholtz equation, . Convergence characteristics and accuracy are compared and a truncation error analysis is presented for a broad range of -values. [Copyright &y& Elsevier]
Copyright of Journal of Computational & Applied 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: 24301319
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PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Compact finite difference schemes of sixth order for the Helmholtz equation
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  Data: <searchLink fieldCode="AR" term="%22Sutmann%2C+Godehard%22">Sutmann, Godehard</searchLink><relatesTo>1,2</relatesTo><i> g.sutmann@fz-juelich.de</i>
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  Data: <searchLink fieldCode="DE" term="%22Finite+differences%22">Finite differences</searchLink><br /><searchLink fieldCode="DE" term="%22Helmholtz+equation%22">Helmholtz equation</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Error+analysis+in+mathematics%22">Error analysis in mathematics</searchLink>
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  Data: Abstract: New compact finite difference schemes of sixth order are derived for the three dimensional Helmholtz equation, . Convergence characteristics and accuracy are compared and a truncation error analysis is presented for a broad range of -values. [Copyright &y& Elsevier]
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  Data: <i>Copyright of Journal of Computational & Applied 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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        Value: 10.1016/j.cam.2006.03.008
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      – Code: eng
        Text: English
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        PageCount: 17
        StartPage: 15
    Subjects:
      – SubjectFull: Finite differences
        Type: general
      – SubjectFull: Helmholtz equation
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Error analysis in mathematics
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      – TitleFull: Compact finite difference schemes of sixth order for the Helmholtz equation
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              M: 06
              Text: Jun2007
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              Y: 2007
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