Numerical analysis and scientific computing

数值分析和科学计算

• 批准号: 1000230772-2015
• 负责人: Bihlo, Alexander
• 金额: $ 8.74万
• 依托单位: Memorial University of Newfoundland
• 依托单位国家: 加拿大
• 项目类别: Canada Research Chairs
• 财政年份: 2019
• 资助国家: 加拿大
• 起止时间: 2019-01-01 至 2020-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=693245
• 关键词: Numerical; analysis; scientific; computing

Accurate numerical models are the backbone of our modern society. Of particular relevance are numerical methods that can be used for solving physical problems over time periods ranging from a few milliseconds to several thousands of years and longer. Such methods are required in astronomy, geophysics, mathematical biology and climate science. Traditional numerical methods generally do not satisfy the accuracy needs imposed by these fields. The numerical methods I will develop as a Chair will preserve geometric properties such as symmetries and conservation laws of physical models, which is a main requirement for obtaining precise long time numerical solutions.

准确的数值模型是我们现代社会的骨干。特别相关的是数值方法，可用于解决从几毫秒到数千年及更长的时间内解决物理问题。这种方法在天文学，地球物理，数学生物学和气候科学中需要。传统的数值方法通常无法满足这些领域施加的准确性需求。我将作为椅子开发的数值方法将保留几何特性，例如对称性和物理模型的保护定律，这是获得精确的长时间数值解决方案的主要要求。