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Rigorous numerics for nonlinear operators with tridiagonal dominant linear part

  • Published:2015 Issue:10 Volume:35 Page:4765-4789
  • ISSN:1553-5231
  • Container-title:Discrete & Continuous Dynamical Systems - A
  • language:en
  • Short-container-title:

Author:

Breden Maxime, ,Desvillettes Laurent,Lessard Jean-Philippe,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference18 articles.

1. A topological method for rigorously computing periodic orbits using Fourier modes,;A. W. Baker;Discrete Contin. Dyn. Syst.,2005

2. Chebyshev and Fourier Spectral Methods,;J. P. Boyd;Second edition,2001

3. Global bifurcation diagrams of steady states of systems of PDEs via rigorous numerics: A 3-component reaction-diffusion system,;M. Breden;Acta Appl. Math.,2013

4. MATLAB codes to perform the proofs,;M. Breden;

5. Rigorous numerics in Floquet theory: Computing stable and unstable bundles of periodic orbits,;R. Castelli;SIAM J. Appl. Dyn. Syst.,2013

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1. Rigorous Computation of Solutions of Semilinear PDEs on Unbounded Domains via Spectral Methods;SIAM Journal on Applied Dynamical Systems;2024-07-22

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3. Validated forward integration scheme for parabolic PDEs via Chebyshev series;Communications in Nonlinear Science and Numerical Simulation;2022-06

4. Computer-assisted proofs for some nonlinear diffusion problems;Communications in Nonlinear Science and Numerical Simulation;2022-06

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