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A general framework for solving Riemann-Hilbert problems numerically

Abstract:: 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.

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APA Style

Olver, S. (2010). A general framework for solving Riemann-Hilbert problems numerically. Unspecified.

MLA Style

Olver, S. A General Framework for Solving Riemann-Hilbert Problems Numerically. Unspecified, 2010.

Chicago Style

Olver, S. 2010. A General Framework for Solving Riemann-Hilbert Problems Numerically. Unspecified.
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Files:: NA-10-05.pdf

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+ Olver, S More by this author

Role:: Author

Publisher:: Unspecified
Publication date:: 2010-06-01

UUID:: uuid:ed9da183-b953-4f8b-bb5c-76aac22d1368
Local pid:: oai:eprints.maths.ox.ac.uk:938
Deposit date:: 2011-05-20
ARK identifier:: ark:/29072/ora_ed9da183b9534f8bbb5c76aac22d1368

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Copyright date:: 2010

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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