Discrete functional analysis: Bridging pure and numerical mathematics

离散泛函分析：连接纯数学和数值数学

• 批准号: DP170100605
• 负责人: Prof Jerome Droniou
• 金额: $ 25.15万
• 依托单位: Monash University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2017
• 资助国家: 澳大利亚
• 起止时间: 2017-01-01 至 2020-07-29
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP170100605
• 关键词: Discrete; functional; analysis; Bridging; pure

This project aims to create the first numerical analysis tools to design robust, mathematically proven algorithms for engineering problems in underground flows. These equations are essential to accurately model and understand phenomena such as oil extraction, carbon sequestration and groundwater contamination. The project will provide powerful mathematical tools to improve the reliability of numerical simulations for such challenges and significantly improve the reliability of the predictions under assumptions that are compatible with field applications.

该项目旨在创建第一个数值分析工具，为地下水流中的工程问题设计强大的、经过数学验证的算法。这些方程对于精确建模和理解石油开采、碳封存和地下水污染等现象至关重要。该项目将提供强大的数学工具，以提高数值模拟的可靠性，并显着提高预测的可靠性，假设与现场应用兼容。