Numerical Approach to Painlevé Transcendents on Unbounded Domains

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Klein, C., Stoilov, N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209782
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Numerical Approach to Painlevé Transcendents on Unbounded Domains / C. Klein, N. Stoilov // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 31 назв. — англ.

A multidomain spectral approach for Painlevé transcendents on unbounded domains is presented. This method is designed to study solutions determined uniquely by a possibly divergent asymptotic series valid near infinity in a sector and approximates the solution on straight lines lying entirely within...