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pro vyhledávání: '"Michelfeit, Jannik"'
Autor:
Hecht, Michael, Gonciarz, Krzysztof, Michelfeit, Jannik, Sivkin, Vladimir, Sbalzarini, Ivo F.
We extend Newton and Lagrange interpolation to arbitrary dimensions. The core contribution that enables this is a generalized notion of non-tensorial unisolvent nodes, i.e., nodes on which the multivariate polynomial interpolant of a function is uniq
Externí odkaz:
http://arxiv.org/abs/2010.10824
Autor:
Michelfeit, Jannik
Many applications in the sciences require numerically stable and computationally efficient evaluation of multivariate polynomials. Finding beneficial representations of polynomials, such as Horner factorisations, is therefore crucial. multivar_horner
Externí odkaz:
http://arxiv.org/abs/2007.13152
Autor:
Hecht, Michael, Gonciarz, Krzysztof, Michelfeit, Jannik, Sivkin, Vladimir, Sbalzarini, Ivo F.
We present generalizations of the classic Newton and Lagrange interpolation schemes to arbitrary dimensions. The core contribution that enables this new method is the notion of unisolvent nodes, i.e., nodes on which the multivariate polynomial interp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3ee925b85564f509314081e4fdbe52a2
http://arxiv.org/abs/2010.10824
http://arxiv.org/abs/2010.10824