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On the generalized Riemann-Hilbert problem with irregular singularities

open access: green, 2004
A. A. Bolibruch   +2 more
openalex   +1 more source

A general framework for solving Riemann-Hilbert problems numerically

open access: yes, 2016
A new, numerical framework for the approximation of solutions to matrix-valued Riemann-Hilbert problems is developed, based on a recent method for the homogeneous Painlev\'e II Riemann- Hilbert problem. We demonstrate its effectiveness by computing solutions to other Painlev\'e transcendents. An implementation in MATHEMATICA is made available online.
openaire   +1 more source

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