Journal
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS
Volume 11, Issue 2, Pages 153-179Publisher
SPRINGER
DOI: 10.1007/s10208-010-9079-8
Keywords
Riemann-Hilbert problems; Spectral methods; Collocation methods; Painleve transcendents
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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.
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