William Michael Anderson

College of Sciences

Works (3)

Updated: January 16th, 2024 16:02

2023 journal article

Fast and scalable computation of shape-morphing nonlinear solutions with application to evolutional neural networks

JOURNAL OF COMPUTATIONAL PHYSICS, 498.

By: W. Anderson n & M. Farazmand n 

author keywords: Partial different i a l equations; Reduced-order modeling; Spectral methods; Neural networks
TL;DR: Three separate methods are developed to address computational bottlenecks in reduced-order nonlinear solutions (RONS) by making it possible to use RONS for accurate numerical solution of linear and nonlinear PDEs. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID
Added: January 2, 2024

2022 journal article

EVOLUTION OF NONLINEAR REDUCED-ORDER SOLUTIONS FOR PDEs WITH CONSERVED QUANTITIES

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 44(1), A176–A197.

By: W. Anderson* & M. Farazmand* 

author keywords: model order reduction; partial differential equations; conservation laws; Galerkin projection
Sources: Web Of Science, ORCID, NC State University Libraries
Added: February 15, 2022

2022 article

Shape-morphing reduced-order models for nonlinear Schrodinger equations

Anderson, W., & Farazmand, M. (2022, April 25). NONLINEAR DYNAMICS, Vol. 4.

By: W. Anderson n & M. Farazmand n 

author keywords: Model order reduction; Partial differential equations; Nonlinear Schrodinger equation; Variational methods
Sources: Web Of Science, NC State University Libraries, ORCID
Added: May 10, 2022

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