Numerical analysis and scientific computing

精确的数值模型是我们现代社会的支柱。特别相关的是可以用来解决从几毫秒到几千年甚至更长时间的物理问题的数值方法。这种方法在天文学、地球物理学、数学生物学和气候科学中都是必需的。传统的数值方法一般不能满足这些领域对精度的要求。作为主席，我将开发的数值方法将保留物理模型的对称性和守恒定律等几何性质，这是获得精确的长期数值解的主要要求。

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.