Numerical Solution of Riemann-Hilbert Problems: Painlev, II

被引：31

作者：

Olver, Sheehan ^{[1
]}

机构：

[1] Univ Oxford, Math Inst, Oxford OX1 3LB, England

来源：

FOUNDATIONS OF COMPUTATIONAL MATHEMATICS | 2011年 / 11卷 / 02期

关键词：

Riemann-Hilbert problems; Spectral methods; Collocation methods; Painleve transcendents;

D O I：

10.1007/s10208-010-9079-8

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We describe a new, spectrally accurate method for solving matrix-valued Riemann-Hilbert problems numerically. The effectiveness of this approach is demonstrated by computing solutions to the homogeneous Painlev, II equation. This can be used to relate initial conditions with asymptotic behavior.

引用

页码：153 / 179

页数：27

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