2 papers
physics.flu-dyn2025
Learning second-order TVD flux limiters using differentiable solvers
Chenyang Huang, Amal S. Sebastian, Venkatasubramanian Viswanathan
This paper presents a data-driven framework for learning optimal second-order total variation diminishing (TVD) flux limiters via differentiable simulations. In our fully different…
cs.LG2024
Self-supervised Pretraining for Partial Differential Equations
Varun Madhavan, Amal S Sebastian, Bharath Ramsundar +1
In this work, we describe a novel approach to building a neural PDE solver leveraging recent advances in transformer based neural network architectures. Our model can provide solut…