Real-time recovery of functions and their derivatives by variation splines

E. A. Kochegurova, E. S. Gorokhova

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

A method of modeling derivatives in a real-time non-stationary process is proposed. This concept is based on approximation of variation smoothing splines. A recurrent estimation formula for parameters of a spline where the number of measurements of every segment is higher than the number of node is given. Dependence between accuracy of estimations of derivatives and values of the spline parameters is studied. Optimal values of parameters are found.

Original languageEnglish
Title of host publicationHigh Technology
Subtitle of host publicationResearch and Applications, 2015
EditorsNikita Martyushev, Anna Bogdan
PublisherTrans Tech Publications Ltd
Pages920-924
Number of pages5
ISBN (Print)9783038357087
DOIs
Publication statusPublished - 2016
Event4th International Conference for Young Scientists High Technology: Research and Applications, HTRA 2015 - Tomsk, Russian Federation
Duration: 21 Apr 201524 Apr 2015

Publication series

NameKey Engineering Materials
Volume685
ISSN (Print)1013-9826
ISSN (Electronic)1662-9795

Conference

Conference4th International Conference for Young Scientists High Technology: Research and Applications, HTRA 2015
CountryRussian Federation
CityTomsk
Period21.4.1524.4.15

Keywords

  • Derivatives recovery
  • Recurrent algorithm
  • Variation smoothing spline

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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