Slow manifold integration on a diffusion map parameterization

Charles William Gear, Yannis Kevrekidis, B. E. Sonday

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

Abstract

We experiment with the the use of diffusion maps to parameterize a low-dimensional attracting manifold of a high-dimensional ODE system in order to be able to repeatedly compute trajectories on that manifold. By integrating directly on that manifold we can avoid the stiffness of the original system.

Original languageEnglish (US)
Title of host publicationNumerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics
Pages13-16
Number of pages4
DOIs
StatePublished - Nov 28 2011
EventInternational Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011 - Halkidiki, Greece
Duration: Sep 19 2011Sep 25 2011

Publication series

NameAIP Conference Proceedings
Volume1389
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherInternational Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011
CountryGreece
CityHalkidiki
Period9/19/119/25/11

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Keywords

  • Inertial manifolds
  • Manifold learning
  • Stiff equations

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  • Cite this

    Gear, C. W., Kevrekidis, Y., & Sonday, B. E. (2011). Slow manifold integration on a diffusion map parameterization. In Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics (pp. 13-16). (AIP Conference Proceedings; Vol. 1389). https://doi.org/10.1063/1.3636659