Data-driven methods for partial differential equations

Session

Invited talks 1

Mar 2, 2026, 1:15 PM

Karlsruhe Institute of Technology

17. AI for Efficient Simulations of PDEs

Siddhartha Mishra (ETH Zurich)

3/2/26, 1:15 PM

Invited talk

tba

16. Solving time-dependent PDEs with random feature models

Felix Dietrich

3/2/26, 2:00 PM

Invited talk

We discuss a sampling scheme for a data-dependent probability distribution of the parameters of neural networks. Such sampled networks are provably dense in the continuous functions, and have a convergence rate in the number of neurons that is independent of the input dimension. Using sampled neurons as basis functions in an ansatz allow us to use separation of variable schemes and effectively...