Fractional Partial Differential Equations for Conservation Laws and Beyond: Theory, Numerics, and Applications (Summary Technical Report, Sep 2015-Nov 2022)
Abstract
The FY15 Multidisciplinary University Research Initiative topic Fractional PDEs for Conservation Laws and Beyond: Theory, Numerics, and Applications led by Professor George Karniadakis at Brown University was active from 16 September 2015 through 29 November 2022. The objective of the effort has been to develop a new rigorous theoretical and computational framework enabling end-to-end fractional-order modeling of physical problems governed by conservation laws in large-scale simulations. Progress in the development of these fractional-order methods hold promise for more accurate modeling and prediction in systems involving unobserved processes or systems where the physics is not well-understood.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 14, 2023
- Accession Number
- AD1204021
Entities
People
- Joseph Myers
Organizations
- United States Army Research Laboratory