Numerical Solution of Riemann-Hilbert Problems: Painlevé II
نویسنده
چکیده
We describe a new, spectrally accurate method for solving matrixvalued Riemann–Hilbert problems numerically. The effectiveness of this approach is demonstrated by computing solutions to the homogeneous Painlevé II equation. This can be used to relate initial conditions with asymptotic behaviour.
منابع مشابه
A general framework for solving Riemann-Hilbert problems numerically
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عنوان ژورنال:
- Foundations of Computational Mathematics
دوره 11 شماره
صفحات -
تاریخ انتشار 2011