#  Advanced Scientific Computing: Numerical Methods (APMTH 205) 

 



This course is an examination of the mathematical foundations of a range of well-established numerical algorithms, exploring their use through practical examples drawn from a range of scientific and engineering disciplines. It emphasizes theory and numerical analysis to elucidate the concepts that underpin each algorithm. Students implement a range of numerical methods through individual and group-based project work to get hands-on experience with modern scientific computing.

 

 Epidemic spreading on hypergraphs 

## Epidemic spreading on hypergraphs

 

 

 **Title**: Epidemic spreading on hypergraphs

 **Members**: Gael Ancel, Tale Lokvenec, Raphael Pellegrin

 **About**: We generalised simplicial contagion models to 3-simplicial complexes and to higher orders. These models are analogous to the SIS model on graphs. We performed numerical simulations on 3 and 4-simplicial complexes, which does not seem to appear in the literature. In particular, we showed that it is possible to observe a tri-stable region where both where both susceptible and infectious asymptotic states co-exist.

 [](https://github.com/RaphaelPellegrin/AM205Poster/blob/0d9ae7180ded1bf58d22f0c8259b6c3e9e4b2d0b/Pellegrin_Raphael_AM205_Hypergraphcontagion.pdf)

 ![APMTH 205 Epidemic Spreading on Hypergraphs poster](/sites/g/files/omnuum4586/files/seas-designfair/files/pellegrin_raphael_am205_hypergraphcontagion.png)