Development of a novel best approximation theory with applications

开发一种新颖的最佳逼近理论及其应用

• 批准号: DP230102079
• 负责人: Prof Yong Hong Wu
• 金额: $ 27.47万
• 依托单位: Curtin University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2023
• 资助国家: 澳大利亚
• 起止时间: 2023-07-01 至 2026-06-30
• 项目状态: 未结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP230102079
• 关键词: Development; novel; best; approximation; theory

The aim of this project is to develop an innovative best approximation theory for complex fractional boundary value problems with discontinuities and with no compactness, and then apply the theory to study two classes of complex partial differential equation boundary value problems with industrial applications. The work will lead to the development of a new theory and a suite of innovative analytical and computational methods for solving a wide range of nonlinear problems with singularities and non-local properties. The expected outcomes of the project will significantly advance our methods for the modelling and control of many industrial systems and processes.

该项目的目的是针对不连续性和没有紧凑性的复杂分数边界价值问题开发创新的最佳近似理论，然后将理论应用于研究两类复杂的部分微分方程方程边界价值问题与工业应用。这项工作将导致一种新理论的发展以及一套创新的分析和计算方法，以解决各种具有奇异性和非本地性质的非线性问题。该项目的预期结果将大大推动我们对许多工业系统和流程建模和控制的方法。