Search Results for author: M. Paul Laiu

Found 4 papers, 1 papers with code

Structure-preserving neural networks for the regularized entropy-based closure of the Boltzmann moment system

2 code implementations22 Apr 2024 Steffen Schotthöfer, M. Paul Laiu, Martin Frank, Cory D. Hauck

In this work, we derive and investigate a neural network-based approximation to the entropy closure method to accurately compute the solution of the multi-dimensional moment system with a low memory footprint and competitive computational time.

Streaming Compression of Scientific Data via weak-SINDy

no code implementations29 Aug 2023 Benjamin P. Russo, M. Paul Laiu, Richard Archibald

This feature makes streaming compression algorithms well-suited for scientific data compression, where storing the full data set offline is often infeasible.

Data Compression

Convergence of weak-SINDy Surrogate Models

no code implementations30 Sep 2022 Benjamin Russo, M. Paul Laiu

In this paper, we give an in-depth error analysis for surrogate models generated by a variant of the Sparse Identification of Nonlinear Dynamics (SINDy) method.

A DG-IMEX method for two-moment neutrino transport: Nonlinear solvers for neutrino-matter coupling

no code implementations3 Feb 2021 M. Paul Laiu, Eirik Endeve, Ran Chu, J. Austin Harris, O. E. Bronson Messer

In the context of this DG-IMEX scheme, we propose two approaches to formulate the nonlinear systems -- a coupled approach and a nested approach.

High Energy Astrophysical Phenomena

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