Perturbation and approximation methods for linear operators with applications to train control, water resource management and evolution of physical systems

线性算子的扰动和近似方法及其在列车控制、水资源管理和物理系统演化中的应用

• 批准号: DP1096551
• 负责人: Em/Prof Philip Howlett
• 金额: $ 13.58万
• 依托单位: University of South Australia
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2010
• 资助国家: 澳大利亚
• 起止时间: 2010-10-31 至 2013-10-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP1096551
• 关键词: Perturbation; approximation; methods; linear; operators

Linear equations are used to solve practical problems. In realistic problems the equations and their solutions depend on parameters obtained by measurement of physical quantities and on data derived from observations and experiments. Changes to the values of the key parameters will lead to changes in the solutions. This project will develop methods to better understand the relationships between the key parameters and the solutions and will apply the new insights to practical problems such as the minimization of fuel consumption in trains, optimal resource management in water supply systems and the evolution of physical systems.

线性方程组用于解决实际问题。 在实际问题中，方程及其解取决于通过测量物理量获得的参数以及从观察和实验中获得的数据。 关键参数值的变化将导致解决方案的变化。 该项目将开发方法来更好地了解关键参数和解决方案之间的关系，并将新的见解应用于实际问题，例如最大限度地减少火车燃油消耗、供水系统的最佳资源管理以及物理系统的演变。