Optimized local trigonometric bases with nonuniform partitions

Qiao Fang Lian; Yong Ge Wang; Dun Yan Yan

doi:10.1007/s10114-005-0647-9

Optimized local trigonometric bases with nonuniform partitions

Qiao Fang Lian^*
, Yong Ge Wang
, Dun Yan Yan

^*Corresponding author for this work

School of Mathematical Sciences

Beijing Jiaotong University
CAS - Academy of Mathematics and System Sciences
University of Chinese Academy of Sciences

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The authors provide optimized local trigonometric bases with nonuniform partitions which efficiently compress trigonometric functions. Numerical examples demonstrate that in many cases the proposed bases provide better compression than the optimized bases with uniform partitions obtained by Matviyenko.

Original language	English
Pages (from-to)	1069-1084
Number of pages	16
Journal	Acta Mathematica Sinica, English Series
Volume	22
Issue number	4
DOIs	https://doi.org/10.1007/s10114-005-0647-9
State	Published - Jul 2006

Keywords

Bell functions
Nonuniform partitions
Optimized local trigonometric bases

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10.1007/s10114-005-0647-9

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title = "Optimized local trigonometric bases with nonuniform partitions",

abstract = "The authors provide optimized local trigonometric bases with nonuniform partitions which efficiently compress trigonometric functions. Numerical examples demonstrate that in many cases the proposed bases provide better compression than the optimized bases with uniform partitions obtained by Matviyenko.",

keywords = "Bell functions, Nonuniform partitions, Optimized local trigonometric bases",

author = "Lian, \{Qiao Fang\} and Wang, \{Yong Ge\} and Yan, \{Dun Yan\}",

year = "2006",

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doi = "10.1007/s10114-005-0647-9",

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journal = "Acta Mathematica Sinica, English Series",

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T1 - Optimized local trigonometric bases with nonuniform partitions

AU - Lian, Qiao Fang

AU - Wang, Yong Ge

AU - Yan, Dun Yan

PY - 2006/7

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N2 - The authors provide optimized local trigonometric bases with nonuniform partitions which efficiently compress trigonometric functions. Numerical examples demonstrate that in many cases the proposed bases provide better compression than the optimized bases with uniform partitions obtained by Matviyenko.

AB - The authors provide optimized local trigonometric bases with nonuniform partitions which efficiently compress trigonometric functions. Numerical examples demonstrate that in many cases the proposed bases provide better compression than the optimized bases with uniform partitions obtained by Matviyenko.

KW - Bell functions

KW - Nonuniform partitions

KW - Optimized local trigonometric bases

UR - https://www.scopus.com/pages/publications/33746406354

U2 - 10.1007/s10114-005-0647-9

DO - 10.1007/s10114-005-0647-9

M3 - 文章

AN - SCOPUS:33746406354

SN - 1439-8516

VL - 22

SP - 1069

EP - 1084

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 4

ER -

Optimized local trigonometric bases with nonuniform partitions

Abstract

Keywords

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