A new spectral method approach for singular integral equations

奇异积分方程的新谱法

• 批准号: RGPIN-2017-05514
• 负责人: Slevinsky, Richard
• 金额: $ 1.02万
• 依托单位: University of Manitoba
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=635639
• 关键词: new; spectral; method; approach; singular

This research programme is centred around the introduction of a new, fast, and spectrally accurate algorithm for solving general singular integral equations on complicated one-dimensional boundaries, which allows for a representation of the solution of elliptic partial differential equations in two spatial dimensions. Singular integral equations have a rich history in acoustic scattering for electromagnetics and seismic imaging, fracture mechanics, fluid dynamics, and beam physics.

该研究计划的重点是介绍一种新的，快速的，光谱精确的算法，用于解决复杂的一维边界上的一般奇异积分方程，它允许在两个空间维度的椭圆偏微分方程的解的表示。奇异积分方程在电磁学和地震成像的声散射、断裂力学、流体动力学和束物理学中有着丰富的历史。