Computation and visualization in pure and applied mathematics

在过去的十年里，数学中计算方法的使用发生了翻天覆地的变化。这对应用数学和纯数学都是如此，在应用数学中，计算已经成为生命科学、物理和工程中必不可少的建模工具，在纯数学中，计算对于研究偏微分方程或复杂的几何和抽象对象变得越来越重要。不列颠哥伦比亚省数学系的计算设施没有根据这些发展进行更新，现在远远落后于这种规模和全国重要性的系的最低标准。因此，我们建议升级用于大型算法和可视化等集中计算任务的服务器，以及为较小的计算任务购买单独的工作站。我们的研究生将是这次升级的主要受益者。在当今的就业市场上，计算技能是非常受欢迎的，而这一应用程序中所需的设备将支持这种培训，这需要比该部门目前拥有的更多的计算资源。

The last decade has seen a sea change in the use of computational methods in mathematics. This is true both for applied mathematics, where computation has become an essential modeling tool in life sciences, physics, and engineering, as well as for pure mathematics, where computation has become increasingly important for studying partial differential equations or complex geometric and abstract objects. The computational facilities in the Math Department at UBC have not been updated in line with these developments, and are now lacking far behind the minimum standards for a department of this size and national importance. Therefore, we propose to both upgrade our servers used for centralized computational tasks such as large algorithms and visualization, as well as acquire individual workstations for smaller computational tasks. Our graduate students will be the main beneficiaries of this upgrade. Computational skills are highly desirable in today's job market, and the equipment requested in this application would support this kind of training, which requires more computational resources than the department currently has.