Analysis of Framelet Transforms on a Simplex

Yu Guang Wang () and Houying Zhu ()
Additional contact information
Yu Guang Wang: La Trobe University, Department of Mathematics and Statistics
Houying Zhu: The University of Melbourne, School of Mathematics and Statistics

A chapter in Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan, 2018, pp 1175-1189 from Springer

Abstract: Abstract In this paper, we construct framelets associated with a sequence of quadrature rules on the simplex T 2 in ℝ 2 $$\mathbb {R}^{2}$$ . We give the framelet transforms—decomposition and reconstruction of the coefficients for framelets of a function on T 2. We prove that the reconstruction is exact when the framelets are tight. We give an example of construction of framelets and show that the framelet transforms can be computed as fast as FFT.

Keywords: Simplex; Quadrature Rule; Framelet System; quasi-Monte Carlo (QMC); High-pass Coefficients (search for similar items in EconPapers)
Date: 2018
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-72456-0_54

Ordering information: This item can be ordered from
http://www.springer.com/9783319724560

DOI: 10.1007/978-3-319-72456-0_54

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().