Multidimensional Chebyshev interpolation for warm and hot dense matter

We propose a scheme based on a multidimensional Chebyshev interpolation to approximate smooth functions that depend on more than one variable. The present method generalizes the one dimensional Chebyshev approximation. The multidimensional approach can be used for generating databases like equation...

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Veröffentlicht in:Physical review. E 2017-05, Vol.95 (5-1), p.053308-053308, Article 053308
Hauptverfasser: Faussurier, Gérald, Blancard, Christophe
Format: Artikel
Sprache:eng
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Zusammenfassung:We propose a scheme based on a multidimensional Chebyshev interpolation to approximate smooth functions that depend on more than one variable. The present method generalizes the one dimensional Chebyshev approximation. The multidimensional approach can be used for generating databases like equation of state in the warm and hot dense matter. It is well suited to the present advance of massively parallel supercomputers.
ISSN:2470-0045
2470-0053
DOI:10.1103/PhysRevE.95.053308