Numerical solution of Riemann-Hilbert problems: Painleve II

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.

书目详细资料
主要作者: Olver, S
格式: Report
出版: Unspecified 2009