Paper-Conference

CALM-PDE: Continuous and Adaptive Convolutions for Latent Space Modeling of Time-dependent PDEs

We introduce CALM-PDE, a model based on continuous convolution for discretization-agnostic solving of time-dependent partial differential equations, which achieves strong performance in fluid dynamics simulations.

Jan Hagnberger, Daniel Musekamp, Mathias Niepert

Vectorized Conditional Neural Fields: A Framework for Solving Time-dependent Parametric Partial Differential Equations

We propose a continuous model based on conditional neural fields and linear transformers for solving time-dependent parametric partial differential equations

Jan Hagnberger, Marimuthu Kalimuthu, Daniel Musekamp, Mathias Niepert