Olver, Sheehan (2010) A general framework for solving Riemann-Hilbert problems
numerically. Technical Report. Unspecified. (Submitted)
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 Painleve II Riemann- Hilbert problem. We demonstrate its effectiveness by computing solutions to other Painleve transcendents.
An implementation in MATHEMATICA is made available online.
|Item Type:||Technical Report (Technical Report)|
|Subjects:||O - Z > Partial differential equations|
H - N > Integral equations
H - N > Numerical analysis
|Research Groups:||Numerical Analysis Group|
|Deposited By:||Lotti Ekert|
|Deposited On:||24 Jul 2010 08:20|
|Last Modified:||24 Jul 2010 08:20|
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