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.
Main Author: | Olver, S |
---|---|
Format: | Report |
Published: |
Unspecified
2009
|
Similar Items
-
A general framework for solving Riemann-Hilbert problems
numerically
by: Olver, S
Published: (2010) -
Riemann–Hilbert Problem for the Matrix Laguerre Biorthogonal Polynomials: The Matrix Discrete Painlevé IV
by: Amílcar Branquinho, et al.
Published: (2022-04-01) -
The Riemann hypothesis and Hilbert's tenth problem /
by: 360778 Chowla, Sarvadaman
Published: (1965) -
Numerical solution of the interior Riemann - Hilbert problem on region with corners via boundary integral equation /
by: 405986 Munira Ismail, et al.
Published: (2007) -
The Riemann-Hilbert problem and the generalized Neumann kernel
by: Wegmann, Ruw, et al.
Published: (2005)