Purchase of computing equipment for research in numerical solution of partial differential equations

购买计算设备用于偏微分方程数值求解研究

• 批准号: 344630-2007
• 负责人: Krivodonova, Lilia
• 金额: $ 0.88万
• 依托单位: University of Waterloo
• 依托单位国家: 加拿大
• 项目类别: Research Tools and Instruments - Category 1 (<$150,000)
• 财政年份: 2006
• 资助国家: 加拿大
• 起止时间: 2006-01-01 至 2007-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=326112
• 关键词: Purchase; computing; equipment; research; numerical

Numerical simulations play an important role in the development of new technologies and products. As more and more powerful computers become available, the problems that can be solved and the phenomena that can be modeled become more and more complex. However, new computers are responsible for only a part of this success. Numerical methods and algorithms are evolving too, allowing us to tackle problems that otherwise would be beyond reach. This proposal is for the purchase of high-performance personal computers to be used to educate a new generation of scientists and engineers and to implement and test new algorithms for the numerical solution of hyperbolic partial differential equations. These equations can be used to describe a variety of natural processes such as the flow of fluids and gases, and  the propagation of sound and tsunami waves. The algorithms that will be developed will allow us to solve such problems faster and more accurately.

数值模拟在新技术和新产品的开发中起着重要的作用。随着越来越强大的计算机变得可用，可以解决的问题和可以建模的现象变得越来越复杂。然而，新的计算机只是这一成功的一部分。数值方法和算法也在不断发展，使我们能够解决原本无法解决的问题。这项提议是为了购买高性能个人计算机，用于教育新一代的科学家和工程师，并实施和测试双曲型偏微分方程数值解的新算法。这些方程可以用来描述各种自然过程，如流体和气体的流动，以及声波和海啸波的传播。将要开发的算法将使我们能够更快、更准确地解决这些问题。