Validated Chebyshev-based Computations for Ordinary and Partial Differential Equations

R.S.S. Sheombarsing

Research output: PhD ThesisPhD Thesis - Research VU Amsterdam, graduation VU Amsterdam

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Original languageEnglish
QualificationPhD
Awarding Institution
  • Vrije Universiteit Amsterdam
Supervisors/Advisors
  • van den Berg, Jan Bouwe, Supervisor
  • Rink, Bob, Supervisor
Award date11 Apr 2018
Publication statusPublished - 2018

Keywords

  • Validated computations
  • Computer-assisted proofs
  • Chebyshev series
  • Chebyshev interpolation
  • Dynamical systems
  • Differential equations
  • connecting orbits
  • heteroclinic orbits
  • periodic orbits
  • stable manifold
  • unstable manifold
  • parabolic PDE
  • nonlinear dynamics.

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