Website
http://dataportal.arc.gov.au/NCGP/API/grants/DP160101236
Funding Status
Closed
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Funded Activity Summary
The fundamental equations for inversion of operator pencils. This project seeks to deepen understanding of how complex systems may be significantly changed by incremental changes to ambient conditions. Mathematical models of complex systems (climate change processes, optimal driving strategies, efficient distribution policies, effective search routines) often depend on key parameters. If small perturbations to the parameters cause large changes to the solution, then the perturbations are said to be singular. This project aims to reveal the underlying mathematical structures and develop new computational algorithms to analyse a general class of perturbed systems both locally near an isolated singularity and globally. It plans to use these algorithms to solve systems of equations, calculate generalised inverse operators, examine perturbed Markov processes, and estimate exit times from meta-stable states in stochastic population dynamics.Funded Activity Details
Start Date: 04-2016
End Date: 08-2019
Funding Scheme: Discovery Projects
Funding Amount: $388,294.00
Funder: Australian Research Council
Research Topics
ANZSRC Field of Research (FoR)
Calculus of Variations, Systems Theory and Control Theory | Applied Mathematics | Stochastic Analysis and Modelling | Numerical Computation
