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  • Mühendislik Fakültesi / Faculty of Engineering
  • İnşaat Mühendisliği Bölümü / Department of Civil Engineering
  • MF - Makale Koleksiyonu | İnşaat Mühendisliği Bölümü / Civil Engineering
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Compressive spectral renormalization method

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Date

2018-09-09

Author

Bayındır, Cihan

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Citation

Bayındır, C. (2018). Compressive spectral renormalization method. Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 8(2), 425-437.

Abstract

In this paper a novel numerical scheme for finding the sparse self-localized states of a nonlinear system of equations with missing spectral data is introduced. As in the Petviashivili's and the spectral renormalization method, the governing equation is transformed into Fourier domain, but the iterations are performed for far fewer number of spectral components (M) than classical versions of the these methods with higher number of spectral components (N). After the converge criteria is achieved for M components, N component signal is reconstructed from M components by using the l(1) minimization technique of the compressive sampling. This method can be named as compressive spectral renormalization (CSRM) method. The main advantage of the CSRM is that, it is capable of finding the sparse self-localized states of the evolution equation(s) with many spectral data missing.

Source

TWMS Journal of Applied and Engineering Mathematics

Volume

8

Issue

2

URI

https://hdl.handle.net/11729/1477
http://jaem.isikun.edu.tr/web/index.php/archive/99-vol8no2/361

Collections

  • Jaem 2018, Vol 8, No 2 [16]
  • MF - Makale Koleksiyonu | İnşaat Mühendisliği Bölümü / Civil Engineering [40]
  • Scopus İndeksli Makale Koleksiyonu [915]
  • WoS İndeksli Makale Koleksiyonu [929]



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