Scientific Computing Research Environments in the Mathematical Sciences

数学科学中的科学计算研究环境

• 批准号: 0421846
• 负责人: Renate Mittelmann
• 金额: $ 8.03万
• 依托单位: Arizona State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-09-15 至 2007-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0421846&HistoricalAwards=false
• 关键词: Scientific; Computing; Research; Environments; Mathematical

The support from this grant provides the funds for the Department of Mathematics and Statistics at Arizona State University to purchase a Linux cluster of high performance PCs. This equipment is to be used for computationally intensive scientific research and discovery by departmental faculty and graduate students in applied and computational mathematics. Their projects are broad in scope with applications in geological and biological sciences, medical imaging, and semiconductor manufacturing. Moreover, while the specific problems derive from several scientific domains, there are many commonalities in the simulation and modeling required for their investigation. Investigators in this department are solving medical and seismic imaging problems which lead to a need to solve inverse problems. A good example of a relevant inverse problem is the use of positron emission tomography to provide a noninvasive image of an organ of the body by collecting data external to the body. Seismic imaging similarly relies on an inverse process to obtain an image of the deep core of the Earth. In such cases it is crucial to provide computational techniques that lead to the most accurate and reasonable interpretation of measured data which encodes the unknown image. Researchers at ASU are designing novel algorithms which lead to increased precision for detecting structure from such images. Examples in which such techniques can be significant would be in the early detection of brain abnormalities, or structural changes in the Earth that may lead to increased likelihood of strong seismic activity, and hence earthquake prediction. The large computing cluster is required in order to carry out more realistic simulations and for reconstructions of real three-dimensional data. Another crucial area of their research is the rather different industrial realm -- both in sophisticated simulations for semiconductor design and in factory product supply and delivery, examples in which appropriate mathematical models provide opportunities for large cost saving. The above indicates some of the current focus areas of the investigators, and thus constitutes just a window on some activities that become feasible in the near future with the acquisition of this equipment.

这笔赠款的支持为亚利桑那州立大学的数学和统计系提供了购买高性能PC的Linux集群的资金。 该设备将用于计算密集型科学研究和发现的部门教师和研究生在应用和计算数学。 他们的项目范围广泛，应用于地质和生物科学、医学成像和半导体制造领域。 此外，虽然具体问题来自几个科学领域，但在研究所需的模拟和建模中有许多共性。 该部门的调查人员正在解决医学和地震成像问题，这导致需要解决逆问题。 相关逆问题的一个很好的例子是使用正电子发射断层摄影术通过收集身体外部的数据来提供身体器官的非侵入性图像。 地震成像类似地依赖于逆过程来获得地球深核的图像。 在这种情况下，至关重要的是提供计算技术，导致最准确和合理的解释测量数据编码的未知图像。 亚利桑那州立大学的研究人员正在设计新的算法，以提高从这些图像中检测结构的精度。 这种技术可能具有重要意义的例子是早期检测大脑异常或地球结构变化，这些变化可能导致强烈地震活动的可能性增加，从而预测地震。 为了进行更逼真的模拟和重建真实的三维数据，需要大型计算集群。 他们研究的另一个关键领域是相当不同的工业领域-无论是在半导体设计的复杂模拟和工厂产品供应和交付，其中适当的数学模型提供了大量节省成本的机会。 以上所述是调查员目前的一些重点领域，因此，这只是一个窗口，说明在不久的将来购置这一设备后可能开展的一些活动。