Data-Infused Fractional PDE Modelling and Simulation of Anomalous Transport
Abstract
The PI developed a combined mathematical-computational framework for fractional modeling of complex physical systems, where the fractional operators can be dynamically constructed from observable micro-to-macroscopic and small-to-big data, albeit of variable fidelity. The proposed research plan emphasized a seamless integration of the following four main research components that form the pillars of our comprehensive data-infused FPDE approach: i) FPDE Mathematical Modelling, ii) Single-/Multi-Domain Spectral Methods, iii) Operator-Based Uncertainty Quantification, and iv) Computational Sensitivity Analysis.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 16, 2020
- Accession Number
- AD1107661
Entities
People
- Mohsen Zayernouri
Organizations
- Michigan State University