Novel Approaches for Problems with Uncertainties

解决不确定性问题的新方法

• 批准号: DP160101755
• 负责人: Prof Thanh Tran
• 金额: $ 23.14万
• 依托单位: The University of New South Wales
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2016
• 资助国家: 澳大利亚
• 起止时间: 2016-01-01 至 2019-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP160101755
• 关键词: Novel; Approaches; Problems; Uncertainties

This project aims to develop novel mathematical theories and numerical methods for problems affected by uncertainty in input data. This type of uncertainty exists in most mathematical models of real life applications. For these problems, a single deterministic simulation with one set of input data is of limited use. Therefore, novel techniques to deal with randomness are essential. The problems in this project are driven by specific applications from ferromagnetism, structural acoustics and vibration. The new theories may lay the foundation for understanding ferromagnetic materials and structural acoustics. The novel approaches to be developed in this project may form the basis for the study of stochastic liquid crystal theory and other interface problems.

该项目旨在为受输入数据不确定性影响的问题开发新的数学理论和数值方法。这种类型的不确定性存在于大多数真实的生活应用的数学模型中。对于这些问题，使用一组输入数据的单个确定性模拟是有限的。因此，处理随机性的新技术至关重要。这个项目中的问题是由铁磁性，结构声学和振动的具体应用驱动的。这些新的理论可能为理解铁磁材料和结构声学奠定基础。本计画所发展之新方法，将为随机液晶理论及其他界面问题之研究奠定基础。