Padé Methods for Painlevé Equations

ISBN-13: 9789811629976 / Angielski / Miękka / 2021 / 86 str.

Hidehito Nagao; Yasuhiko Yamada

Recenzje

"The monograph under review explores an important connection between integrable systems and approximation theory: the appearance of integrable systems in Padé approximation and interpolation problems. Both authors have contributed plenty of work in this direction together and individually, and one can view this work as a pedagogical guide to this rich area. ... The monograph is well organized, and has plenty of examples motivating the discussion and demonstrating the power of the Padé method ... ." (Ahmad Bassam Barhoumi, Mathematical Reviews, September, 2022)

Spis treści

1Padé approximation and di erential equation.- 2Padé approximation for Pvi.- 3Padé approximation for q-Painlevé/Garnier equations.- 4Padé interpolation.- 5Padé interpolation on q-quadratic grid.- 6Multicomponent Generalizations.