Symmetries and Integrability of Difference Equations

1. Continuous, Discrete and Ultradiscrete Painlevé Equations
Nobutaka Nakazono, Yang Shi, Masataka Kanki

2. Elliptic Hypergeometric Functions
Fokko J. Bult

3. Integrability of Difference Equations Through Algebraic Entropy and Generalized Symmetries
Giorgio Gubbiotti

4. Introduction to Linear and Nonlinear Integrable Theories in Discrete Complex Analysis
Ulrike Bücking

5. Discrete Integrable Systems, Darboux Transformations, and Yang–Baxter Maps
Deniz Bilman, Sotiris Konstantinou-Rizos

6. Symmetry-Preserving Numerical Schemes
Alexander Bihlo, Francis Valiquette

7. Introduction to Cluster Algebras
Max Glick, Dylan Rupel

8. An Introduction to Difference Galois Theory
Julien Roques

9. Lectures on Quantum Integrability: Lattices, Symmetries and Physics
Miłosz Panfil

Keywords: Physics, Numerical and Computational Physics, Simulation, Difference and Functional Equations, Field Theory and Polynomials