A general framework for solving Riemann-Hilbert problems numerically
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 transcenden...
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| Format: | Report |
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Unspecified
2010
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| _version_ | 1826303605874884608 |
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| author | Olver, S |
| author_facet | Olver, S |
| author_sort | Olver, S |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T06:05:15Z |
| format | Report |
| id | oxford-uuid:ed9da183-b953-4f8b-bb5c-76aac22d1368 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T06:05:15Z |
| publishDate | 2010 |
| publisher | Unspecified |
| record_format | dspace |
| spelling | oxford-uuid:ed9da183-b953-4f8b-bb5c-76aac22d13682022-03-27T11:26:27ZA general framework for solving Riemann-Hilbert problems numericallyReporthttp://purl.org/coar/resource_type/c_93fcuuid:ed9da183-b953-4f8b-bb5c-76aac22d1368Mathematical Institute - ePrintsUnspecified2010Olver, SA 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. |
| spellingShingle | Olver, S A general framework for solving Riemann-Hilbert problems numerically |
| title | A general framework for solving Riemann-Hilbert problems
numerically |
| title_full | A general framework for solving Riemann-Hilbert problems
numerically |
| title_fullStr | A general framework for solving Riemann-Hilbert problems
numerically |
| title_full_unstemmed | A general framework for solving Riemann-Hilbert problems
numerically |
| title_short | A general framework for solving Riemann-Hilbert problems
numerically |
| title_sort | general framework for solving riemann hilbert problems numerically |
| work_keys_str_mv | AT olvers ageneralframeworkforsolvingriemannhilbertproblemsnumerically AT olvers generalframeworkforsolvingriemannhilbertproblemsnumerically |