April 11, 2023

Workshop on Integrable Systems and Orthogonal Polynomials – Numerical and Analytical Perspectives


11 to 15 April 2023


Prof. Kerstin Jordaan (UNISA) and Prof. Peter Clarkson (University of Kent)


This workshop will focus on the relationship between integrable systems, in particular the Painleve equations and discrete Painleve equations, and orthogonal polynomials from both numerical and analytical perspectives. The Painleve equations, continuous and discrete, are nonlinear analogs of the classical special functions and form the core of modern special function theory. In recent years various interesting connections between Painleve equations and orthogonal polynomials have been studied. For example, rational solutions and special function solutions of Painlevé equations have a close relationship with orthogonal polynomials. The relationship between orthogonal polynomials and Painleve equations has interesting applications, for example to random matrices. From a numerical perspective, reliable and efficient evaluation of solutions of Painlevé equations poses significant challenges, and several approaches have been proposed in the literature, including initial value and boundary value methods in the complex plane and numerical calculation based on the Riemann-Hilbert formulation. Presentations will include survey type lectures on important developments in the area as well as lectures on recent results and open problems.

Target Audience:

Researchers, Postdoctoral Fellows, PhD and Master’s students. Spaces are limited.

Confirmed plenary speakers:

Cleonice Bracciali (Universidade Estadual Paulista, Brazil)
Peter Clarkson (University of Kent, UK)
Clare Dunning (University of Kent, UK)
Maurice Kenfack-Nangho (University of Dschang, Cameroon)
Ana Loureiro (University of Kent, UK)
André Weideman (Stellenbosch University, RSA)

Confirmed participants:

Christian Berg (University of Copenhagen, Denmark)
Jacob Christiansen (Lund University, Sweden)
Marta Dell’Atti (University of Portsmouth, UK)
Mafoya Landry Dassoundo (AIMS, SA)
Priyabrat Gochhayat (Sambalpur University, India)
Sameerah Jamal (University of the Witwatersrand, RSA)
Alta Jooste (University of Pretoria, RSA)
Erik Koelink (Radboud University, Netherlands)
Arno Kuijlaars (University of Leuven, Belgium)
Hélder Lima (University of Leuven, Belgium)
Christopher Lustri (Macquarie University, Australia)
Dieudonne Mbouna (University of Porto, Portugal)
Leslie Molag (University of Sussex, UK)
Boitumelo Moletsane (University of the Witwatersrand, RSA)
Antonio Moro (Northumbria University, UK)
Henrik Pedersen (University of Copenhagen, Denmark)
Patrick Njionou Sadjang (University Douala, Cameroon)
Shivani Singh (University of South Africa, RSA)
Sanne ter Horst (North-West University, RSA)
Daniel Tcheutia (University of Kassel, Germany)
Walter Van Assche (University of Leuven, Leuven)
Alma van der Merwe (University of the Witwatersrand, RSA)
Kaobaiba Wakreo (University of Maroua, Cameroon)

Online participants:
Christian Budde (University of the Free State, RSA)
Maria das Neves Rebocho (Universidade da Beira Interior, Portugal)
David Gómez-Ullate (IE University, Spain)
Galina Filipuk (University of Warsaw, Poland)
Beatrice Pelloni (Heriot-Watt University, UK)
Sarah Post (University of Hawai’i at Mãnoa, USA)