activity
20202022
most citedMultiscale Neural Operator: Learning Fast and Grid-independent PDE Solvers

7 citations · 15 across the 5 of their papers we have counts for

collaborators

5 papers

cs.LG2022★ 3 cited

A composable machine-learning approach for steady-state simulations on high-resolution grids

Rishikesh Ranade, Chris Hill, Lalit Ghule +1

In this paper we show that our Machine Learning (ML) approach, CoMLSim (Composable Machine Learning Simulator), can simulate PDEs on highly-resolved grids with higher accuracy and…

cs.LG2022★ 7 cited

Multiscale Neural Operator: Learning Fast and Grid-independent PDE Solvers

Björn Lütjens, Catherine H. Crawford, Campbell D Watson +2

Numerical simulations in climate, chemistry, or astrophysics are computationally too expensive for uncertainty quantification or parameter-exploration at high-resolution. Reduced-o…

cs.LG2021★ 4 cited

A composable autoencoder-based iterative algorithm for accelerating numerical simulations

Rishikesh Ranade, Chris Hill, Haiyang He +3

Numerical simulations for engineering applications solve partial differential equations (PDE) to model various physical processes. Traditional PDE solvers are very accurate but com…

cs.LG2021★ 1 cited

A Latent space solver for PDE generalization

Rishikesh Ranade, Chris Hill, Haiyang He +2

In this work we propose a hybrid solver to solve partial differential equation (PDE)s in the latent space. The solver uses an iterative inferencing strategy combined with solution…

physics.comp-ph2020

DiscretizationNet: A Machine-Learning based solver for Navier-Stokes Equations using Finite Volume Discretization

Rishikesh Ranade, Chris Hill, Jay Pathak

Over the last few decades, existing Partial Differential Equation (PDE) solvers have demonstrated a tremendous success in solving complex, non-linear PDEs. Although accurate, these…