A Computational Exploration of the Second Painlevé Equation

On the location of poles for the Ablowitz–Segur family of solutions to the second Painlevé equation

(2012) M Bertola   NONLINEARITY

Painlevé IV with both Parameters Zero: A Numerical Study

(2012) Jonah A. Reeger et al.   STUDIES IN APPLIED MATHEMATICS

A numerical methodology for the Painlevé equations

(2011) Bengt Fornberg et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Painlevé Functions in Statistical Physics

(2011) Craig Tracy et al.   PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES

Numerical Solution of Riemann–Hilbert Problems: Painlevé II

(2010) Sheehan Olver   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Multi-critical unitary random matrix ensembles and the general Painlevé II equation

(2009) Tom Claeys et al.   ANNALS OF MATHEMATICS

Padé approximations for Painlevé I and II transcendents

(2009) V. Yu. Novokshenov   THEORETICAL AND MATHEMATICAL PHYSICS