Discovery Projects - Grant ID: DP220100937

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP220100937

Funding Status
Active

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Funded Activity Summary

A new numerical analysis for partial differential equations with noise. This project aims to design novel numerical methods, grounded in rigorous mathematical foundations, for partial differential equations with stochastic source terms, such as for instance those modelling fluid flows with random perturbations. To ensure the accuracy of numerical simulations, preserving certain quantities of importance (mass, flux) is critical. The project's goal is to develop finite volume and high-order numerical methods that are applicable in real-world settings, designed to achieve this preservation of essential quantities, and mathematically proven to be robust. The expected benefits are cost-efficient and reliable numerical tools for the scientific simulation of phenomena subjected to uncontrolled influence.

Funded Activity Details

Start Date: 22-03-2023

End Date: 21-03-2026

Funding Scheme: Discovery Projects

Funding Amount: $394,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Numerical Analysis | Numerical and Computational Mathematics | Partial Differential Equations

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Expanding Knowledge in the Mathematical Sciences | Numerical Analysis | Numerical and Computational Mathematics | Partial Differential Equations

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