Yang–Baxter Equations, Computational Methods and Applications

Yang-Baxter Equations, Computational Methods and Applications

Computational methods are an important tool for solving the Yang–Baxter equations (in small dimensions), for classifying (unifying) structures and for solving related problems. This paper is an account of some of the latest developments on the Yang–Baxter equation, its set-theoretical version and its applications. We construct new set-theoretical solutions for the Yang–Baxter equation. Unificat...

Computational Photography: Methods and Applications

Counterfactual Probabilities: Computational Methods, Bounds and Applications

Evaluation of counterfactual queries (e.g., "If A were true, would C have been true?") is important to fault diagnosis, planning, and determination of liability. In this paper we present methods for computing the proba­ bilities of such queries using the formulation proposed in [Balke and Pearl, 1994], where the antecedent of the query is interpreted as an external action that forces the propos...

Computational Modelling in Cancer: Methods and Applications

Computational modelling of diseases is an emerging field, proven valuable for the diagnosis, prognosis and treatment of the disease. Cancer is one of the diseases where computational modelling provides enormous advancements, allowing the medical professionals to perform in silico experiments and gain insights prior to any in vivo procedure. In this paper, we review the most recent computational...

Numerical methods for differential equations and applications

In the contemporary language of mathematics, a special place is occupied by Numerical Analysis, thanks to the steadily developing interest for the interplay among abstract formalism, computations and simulation of real world phenomena. This research contribution means to offer an example of such conceptual interplay. In particular, main research activity of Ivonne Sgura in 2012 deals with the d...