The Mathematical Institute, University of Oxford, Eprints Archive

Numerical solution of Riemann-Hilbert problems: Painleve II

Olver, Sheehan (2009) Numerical solution of Riemann-Hilbert problems: Painleve II. Technical Report. Unspecified. (Submitted)

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Abstract

We describe a new spectral method for solving matrix-valued Riemann-Hilbert problems numerically. We demonstrate the effectiveness of this approach by computing solutions to the homogeneous Painleve II equation. This can be used to relate initial conditions with asymptotic behaviour.

Item Type:Technical Report (Technical Report)
Subjects:O - Z > Partial differential equations
H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:900
Deposited By:Lotti Ekert
Deposited On:24 Feb 2010 07:24
Last Modified:24 Feb 2010 07:24

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