Description
Mathematics is increasingly becoming an indispensable tool for understanding complex phenomena, ranging from the regeneration of damaged bone tissue to the drift of Earth’s continents. Thanks to modern algorithms and the growing availability of computational power, it is now possible to perform highly accurate numerical simulations of realistic models describing such processes.
In this talk, I will survey recent advances in the numerical analysis of partial differential equation based models, with a particular emphasis on techniques that ensure the reliability of computations, producingnumerical solutions equipped with rigorous guarantees on their accuracy.
