Summation by parts methods for spherical harmonic decompositions of the wave equation in any dimensions (Q2843845)
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scientific article; zbMATH DE number 6201497
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Summation by parts methods for spherical harmonic decompositions of the wave equation in any dimensions |
scientific article; zbMATH DE number 6201497 |
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Summation by parts methods for spherical harmonic decompositions of the wave equation in any dimensions (English)
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26 August 2013
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summation by parts
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SBP
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spherical harmonics
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decompositions of the wave equation in any dimensions
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0.85367537
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0.8532803
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0.8531426
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The authors present details for solving the wave equation in an arbitrary number of dimensions. The main ideas for keeping exactness in spite of using numerical methods are the following ones: they apply the constancy of the energy functional, and they use spherical harmonics for the angular parts, so that only for the \(r\)- and the \(t\)-direction, the typical uncertainties of numerical calculations remain to be controlled. Practically, the summation by parts (SBP) method essentially simplifies the expressions.
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