Reproducing kernel and wavelet particle methods

Wing K Liu*, Claus Oberste-Brandenburg

*Corresponding author for this work

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

23 Scopus citations


Multiple scale methods, which are based on discrete and continuous reproducing kernels, wavelets, and integral window transforms are developed. In this development, a microscope is constructed with a flexible space-time localized window function which translates and dilates in space and time to cover the entire domain of interest. This microscope can magnify, examine and record the image of the various scales and frequencies of the response locally within the support of the window function.

Original languageEnglish (US)
Title of host publicationAerospace Structures
Subtitle of host publicationNonlinear Dynamics and System Response
EditorsWalter F. Jones
PublisherPubl by ASME
Number of pages17
ISBN (Print)0791810275
StatePublished - Dec 1 1993
EventProceedings of the 1993 ASME Winter Annual Meeting - New Orleans, LA, USA
Duration: Nov 28 1993Dec 3 1993


OtherProceedings of the 1993 ASME Winter Annual Meeting
CityNew Orleans, LA, USA

ASJC Scopus subject areas

  • Space and Planetary Science
  • Mechanical Engineering


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