arXiv Open Access 2023

Compressed QMC volume and surface integration on union of balls

Giacomo Elefante Alvise Sommariva Marco Vianello

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Abstrak

We discuss an algorithm for Tchakaloff-like compression of Quasi-MonteCarlo (QMC) volume/surface integration on union of balls (multibubbles). The key tools are Davis-Wilhelmsen theorem on the so-called Tchakaloff sets for positive linear functionals on polynomial spaces, and Lawson-Hanson algorithm for NNLS. We provide the corresponding Matlab package together with several examples.

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math.NA

Penulis (3)

Giacomo Elefante

Alvise Sommariva

Marco Vianello

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APA MLA BibTeX

Elefante, G., Sommariva, A., Vianello, M. (2023). Compressed QMC volume and surface integration on union of balls. https://arxiv.org/abs/2303.01460

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Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓