Algorithms for continuum processes on complex, moving surfaces

复杂移动表面上连续过程的算法

• 批准号: RGPIN-2016-04361
• 负责人: Ruuth, Steven
• 金额: $ 1.89万
• 依托单位: Simon Fraser University
• 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=634826
• 关键词: Algorithms; continuum; processes; complex; moving

Partial differential equation (PDE) models for continuum processes arise throughout the applied and natural sciences. There has been a great effort made to develop numerical methods for many important classes of PDEs in one, two or three spatial dimensions. However, a remarkable variety of problems involve differential equations on curved surfaces. Numerical methods for PDEs on curved surfaces are much more complicated than in the standard Cartesian coordinate spaces

连续过程的偏微分方程（PDE）模型出现在整个应用和自然科学中。人们已经做出了很大的努力，以发展的数值方法，许多重要的类偏微分方程在一个，两个或三个空间维。然而，一个显着的各种各样的问题涉及微分方程的曲面。曲面上偏微分方程的数值方法比标准笛卡尔坐标空间中的方法复杂得多