SCREMS: Developing Computational Mathematics at the University of Florida

SCEMS：佛罗里达大学计算数学的发展

• 批准号: 0619080
• 负责人: Jay Gopalakrishnan
• 金额: $ 8.1万
• 依托单位: University of Florida
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-08-01 至 2009-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0619080&HistoricalAwards=false
• 关键词: SCREMS; Developing; Computational; Mathematics; University; SCREMS; Developing; Computational; Mathematics; University

This grant provides funding for augmenting the computational resourcesin the Mathematics Department of the University of Florida. Fourresearch projects which require the new resources are proposed: Thefirst project on sparse matrix algorithms incorporates state of theart optimization strategies and multilevel heuristics into sparsematrix algorithms, with particular emphasis on techniques that canexploit and can be applied to parallel computing architectures. Thesecond project aims to develop a new set of methods for solvingpartial differential equations on complicated structures. The thirdproject centers around algorithms for the reconstruction of threedimensional tomographic images of internal regions of the humanbody. The fourth investigates nano-scale materials using simulationsbased on mathematically sound simplifications.The success of the research activities will have impact beyondcomputational mathematics through collaborations in biomedicalengineering, computer science, electrical engineering, andmedicine. Specific applications considered include the simulation oflightning with potential benefits to air traffic control, thebiomedical engineering of cardiac ablation technology potentiallybenefiting patients with arrhythmias, improved tomographicreconstruction algorithms for medical imaging potentially leading tobetter diagnostic tools, and better predictions for the properties ofnano-scale materials which are challenging to fabricate with currenttechnology. Students and young researchers will benefit from the newresources by rigorous training in mathematical courses combined withpractical computational training using problems arising fromlarge-scale applications.

该赠款为增加佛罗里达大学数学系的计算资源提供了资金。 提出了需要新资源的FourResearch搜索项目：稀疏矩阵算法的第一个项目将心脏优化策略和多级启发式方法结合到sparsematrix算法中，特别强调可以将可以应用并可以应用于平行计算架构的技术。 TheSecond项目旨在开发一套新的方法来解决复杂结构的各个微分方程。第三个项目集中于重建人体内部区域的三二维层析成像图像的算法。第四次使用基于数学上声音简化的模拟调查的纳米级材料。研究活动的成功将通过生物典范，计算机科学，电气工程和梅德氨酸的合作而超出计算性数学的影响。考虑的特定应用包括对空中交通管制的潜在益处的模拟，心脏消融技术的生物医学工程潜在地依靠心律失常的患者，改进的医学成像的层析成分构建算法的改善，可能导致Tobetter诊断工具的医学成像，以及对当前质量构成构成构成质疑的物质的诊断工具的预测。学生和年轻的研究人员将使用从大规模应用程序引起的问题结合了数学课程中的严格培训，并通过严格的计算培训中受益。