A Computational Exploration of the Second Painlevé Equation

The pole field solver developed recently by the authors (J. Comput. Phys. 230:5957–5973, 2011 ) is used to survey the space of solutions of the second Painlevé equation that are real on the real axis. This includes well-known solutions such as the Hastings–McLeod and Ablowitz–Segur type of solutions...

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Veröffentlicht in:	Foundations of computational mathematics 2014-10, Vol.14 (5), p.985-1016
Hauptverfasser:	Fornberg, Bengt, Weideman, J. A. C.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Computation Computer Science Differential equations Differential equations, Nonlinear Economics Exploration Linear and Multilinear Algebras Math Applications in Computer Science Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Matrix Theory Numerical Analysis Poles Robustness Solvers
Online-Zugang:	Volltext
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