Algorithmic geometry: efficient geometric calculations

Algorithmic geometry stands at the heart of current technological and scientific developments, offering powerful methods to handle complex datasets in a geometric space. This discipline, stemming from advances made in the 1970s, addresses the need to efficiently model and manipulate geometric objects in various computing universes. Diverse applications such as robotics, computer graphics, and computer-aided … Read more

The mathematics behind numerical simulations

Les mathématiques derrière les simulations numériques

IN BRIEF Numerical simulations: computation processes on computers to model physical realities. Mathematical modeling: construction of models to represent complex systems. Mathematical analysis: evaluation and interpretation of simulation results. Practical applications: use in various fields, including pandemics and engineering. Technological evolution: computing transforms and improves the approach to applied mathematics. Numerical models: implementation of discretization … Read more