A Mathematica package for computing solutions to matrix-valued Riemann–Hilbert problems. Examples include computing Cauchy and Hilbert transforms, homogeneous Painlevé II (such as the Hastings–McLeod solution and Ablowitz–Stegun solutions for large x), Painlevé III and Painlevé IV.
Keywords for this software
References in zbMATH (referenced in 12 articles )
Showing results 1 to 12 of 12.
- Bilman, Deniz; Ling, Liming; Miller, Peter D.: Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy (2020)
- Bilman, Deniz; Buckingham, Robert: Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation (2019)
- Bilman, Deniz; Trogdon, Thomas: Benchmarking numerical methods for lattice equations with the Toda lattice (2019)
- Trogdon, Thomas; Biondini, Gino: Evolution partial differential equations with discontinuous data (2019)
- Miller, Peter D.: On the increasing tritronquée solutions of the Painlevé-II equation (2018)
- Biondini, Gino; Trogdon, Thomas: Gibbs phenomenon for dispersive PDEs on the line (2017)
- Novokshenov, V. Y.: Distributions of poles to Painlevé transcendents via Padé approximations (2014)
- Reeger, Jonah A.; Fornberg, Bengt: Painlevé IV: A numerical study of the fundamental domain and beyond (2014)
- Novokshenov, V. Yu.: Tronquée solutions of the Painlevé II equation (2012)
- Olver, Sheehan: A general framework for solving Riemann-Hilbert problems numerically (2012)
- Olver, Sheehan: Numerical solution of Riemann-Hilbert problems: Painlevé II (2011)
- Olver, Sheehan: Computation of equilibrium measures (2011)