This paper describes a method of rigorous verification of an isolating neighborhood based on computer assisted computations. As an application we study the Kuramoto-Sivashinsky equation. The result of the computer assisted proof was directly used in  to prove the existence of heteroclinic solutions of the Kuramoto-Sivashinsky equation.
Reliable Computing – Springer Journals
Published: Sep 30, 2004
It’s your single place to instantly
discover and read the research
that matters to you.
Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.
All for just $49/month
Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly
Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.
All the latest content is available, no embargo periods.
“Whoa! It’s like Spotify but for academic articles.”@Phil_Robichaud