no code implementations • 21 Jun 2023 • Prashant K. Jha
Numerical results involving a nonlinear reaction-diffusion model in two dimensions with PCANet-type neural operators show almost two orders of increase in the accuracy of approximations when neural operators are corrected using the correction scheme.
no code implementations • 6 Oct 2022 • Lianghao Cao, Thomas O'Leary-Roseberry, Prashant K. Jha, J. Tinsley Oden, Omar Ghattas
We show that a trained neural operator with error correction can achieve a quadratic reduction of its approximation error, all while retaining substantial computational speedups of posterior sampling when models are governed by highly nonlinear PDEs.
1 code implementation • 22 Jan 2021 • Marvin Fritz, Prashant K. Jha, Tobias Köppl, J. Tinsley Oden, Andreas Wagner, Barbara Wohlmuth
The flow in the blood vessels is controlled by Poiseuille flow, and Starling's law is applied to model the mass transfer in and out of blood vessels.
1 code implementation • 18 Jun 2018 • Patrick Diehl, Prashant K. Jha, Hartmut Kaiser, Robert Lipton, Martin Levesque
The scalability of asynchronous task-based implementation is to be in agreement with theoretical estimations.
Distributed, Parallel, and Cluster Computing Computational Physics