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RHPackage

swMATH ID: 11808
Software Authors: Olver, Sheehan; Wechslberger, Georg
Description: 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.
Homepage: http://www.maths.usyd.edu.au/u/olver/projects/RHPackage.html
Dependencies: Mathematica
Related Software: DLMF; rogue-waves; GitHub; ISTPackage; chebop; Matlab; RiemannHilbert.jl
Cited in: 13 Documents
all top 5

Cited by 10 Authors

4 Bilman, Deniz
4 Trogdon, Thomas
3 Olver, Sheehan Shakiban
2 Biondini, Gino
2 Miller, Peter D.
2 Novokshenov, Viktor Yur’evich
1 Buckingham, Robert J.
1 Fornberg, Bengt
1 Ling, Liming
1 Reeger, Jonah A.
all top 5

Cited in 13 Serials

1 Nonlinearity
1 Theoretical and Mathematical Physics
1 Duke Mathematical Journal
1 Journal of Approximation Theory
1 Numerische Mathematik
1 Quarterly of Applied Mathematics
1 Physica D
1 Applied Numerical Mathematics
1 Constructive Approximation
1 SIAM Journal on Applied Mathematics
1 Journal of Nonlinear Science
1 Foundations of Computational Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
all top 5

Cited in 10 Fields

6 Ordinary differential equations (34-XX)
6 Numerical analysis (65-XX)
5 Partial differential equations (35-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 Functions of a complex variable (30-XX)
4 Special functions (33-XX)
2 Approximations and expansions (41-XX)
1 Potential theory (31-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Quantum theory (81-XX)

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