SM: Five Inverse Problems Workshops targeting Computational and Applied Mathematics together with Application Areas

SM：针对计算和应用数学以及应用领域的五个反问题研讨会

• 批准号: 0852516
• 负责人: Joyce McLaughlin
• 金额: $ 8.75万
• 依托单位: Rensselaer Polytechnic Institute
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-05-01 至 2013-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0852516&HistoricalAwards=false
• 关键词: SM; Five; Inverse; Problems; Workshops

McLaughlinDMS-0852516 The investigator and her collagues organize a series of fiveworkshops in five different application areas of inverseproblems. All of the represented fields are advancing rapidlyand in all cases the mathematical advances, the engineeringadvances and the new experiments enabled by new technology orinnovative ideas combine together to make a rich opportunity fornew research projects at the interface of disciplines. It isexpected that research projects will be inspired, and in somecases be newly developed, as a result of the workshops. Thepresentations include state of the art techniques in mathematicalsciences and engineering; an important addition in some of theworkshops is the inclusion of experimentalists who describe theirlatest advances, the data sets that are obtained from thoseexperiments, and their anticipated results from that data. Earlycareer participants, including a strong representation ofparticipants from underrepresented groups, are targeted. TheInverse Problems Center, IPRPI, provides an ideal environment tohold these workshops. The problem areas being targeted all impact quality of lifeand safety of individuals. Two of the workshops specificallytarget medical imaging; one is in imaging of biomechanical tissueproperties, a new, very fast moving area with significant successanticipated, and another considers diffusion optical tomography,which also has a great deal of promise. Successes in these twoareas significantly impact human health. Two other workshopsemphazize identification in geosystems and waveform tomography. Both target understanding the effects of earthquake dynamics, aswell as the identification of new energy sources. As such, thesafety of individuals and quality of individual life is stronglyaffected. Finally, the microlocal analysis workshop emphasizes abroad set of application areas, including radar imaging, which isan important homeland security component. Much of the grantsupports participants who are students, postdocs, junior faculty,women, and other under-represented groups.

McLaughlinDMS-0852516 研究人员和她的同事在反问题的五个不同应用领域组织了一系列五个研讨会。 所有所代表的领域都在迅速发展，在所有情况下，数学进步、工程进步和新技术或创新理念带来的新实验结合在一起，为学科交叉领域的新研究项目提供了丰富的机会。 预计研讨会将激发研究项目的灵感，在某些情况下甚至会开发出新的研究项目。 演讲内容包括数学科学和工程领域的最先进技术；一些研讨会的一个重要补充是实验学家的参与，他们描述了他们的最新进展、从这些实验中获得的数据集以及他们从这些数据中获得的预期结果。 早期职业参与者，包括来自代表性不足群体的参与者，成为目标。 反问题中心 (IPRPI) 为举办这些研讨会提供了理想的环境。 所针对的问题领域都会影响个人的生活质量和安全。 其中两个研讨会专门针对医学成像；一个是生物力学组织特性成像，这是一个新的、发展非常快的领域，预计会取得重大成功；另一个涉及扩散光学断层扫描，它也有很大的前景。 这两个领域的成功对人类健康产生了重大影响。 另外两个研讨会强调地球系统和波形断层扫描中的识别。两者的目标都是了解地震动力学的影响，以及识别新能源。 因此，个人的安全和个人生活质量受到强烈影响。 最后，微局域分析研讨会强调了国外的一系列应用领域，包括雷达成像，这是国土安全的重要组成部分。 大部分赠款支持学生、博士后、初级教师、女性和其他代表性不足的群体的参与者。