Validated Chebyshev-based Computations for Ordinary and Partial Differential Equations

R.S.S. Sheombarsing

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

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.

Cite this

@phdthesis{aad11155468a4778afece6891c48c900,
title = "Validated Chebyshev-based Computations for Ordinary and Partial Differential Equations",
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.",
author = "R.S.S. Sheombarsing",
year = "2018",
language = "English",
school = "Vrije Universiteit Amsterdam",

}

Sheombarsing, RSS 2018, 'Validated Chebyshev-based Computations for Ordinary and Partial Differential Equations', PhD, Vrije Universiteit Amsterdam.

Validated Chebyshev-based Computations for Ordinary and Partial Differential Equations. / Sheombarsing, R.S.S.

2018. 219 p.

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

TY - THES

T1 - Validated Chebyshev-based Computations for Ordinary and Partial Differential Equations

AU - Sheombarsing, R.S.S.

PY - 2018

Y1 - 2018

KW - Validated computations

KW - Computer-assisted proofs

KW - Chebyshev series

KW - Chebyshev interpolation

KW - Dynamical systems

KW - Differential equations

KW - connecting orbits

KW - heteroclinic orbits

KW - periodic orbits

KW - stable manifold

KW - unstable manifold

KW - parabolic PDE

KW - nonlinear dynamics.

M3 - PhD Thesis - Research VU, graduation VU

ER -