Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces-Reference-Cited by-同舟云学术

Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces

Published:2017-09 Issue: Volume:344 Page:36-50
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Fasondini Marco,Fornberg Bengt,Weideman J.A.C.

Funder

National Research Foundation

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference35 articles.

1. A method for calculating the Painlevé transcendents;Abramov;Appl. Numer. Math.,2015

2. Exponentially small corrections to divergent asymptotic expansions of solutions of the fifth Painlevé equation;Andreev;Math. Res. Lett.,1997

3. The third Painlevé equation and associated special polynomials;Clarkson;J. Phys. A, Math. Gen.,2003

4. Painlevé equations—nonlinear special functions;Clarkson,2006

5. Integrating ODEs in the complex plane—pole vaulting;Corliss;Math. Comput.,1980

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