A High Accurate and Stable Legendre Transform Based on Block Partitioning and Butterfly Algorithm for NWP

In this paper, we proposed a high accurate and stable Legendre transform algorithm, which can reduce the potential instability for a very high order at a very small increase in the computational time. The error analysis of interpolative decomposition for Legendre transform is presented. By employing...

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Bibliographic Details

Published in:	Mathematics
Main Authors:	Fukang Yin, Jianping Wu, Junqiang Song, Jinhui Yang
Format:	Article
Language:	English
Published:	MDPI AG 2019-10-01
Subjects:	legendre transform block partitioning interpolative decomposition butterfly algorithm
Online Access:	https://www.mdpi.com/2227-7390/7/10/966