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.

McLaughlin DMS-0852516 研究者和她的同事们在五个不同的反问题应用领域组织了一系列的五个研讨会。 所有的代表领域都在迅速发展，在所有情况下，数学的进步，工程的进步和新技术或创新思想所带来的新实验联合收割机结合在一起，为学科之间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，并在某些情况下新开发，作为研讨会的结果。 演讲内容包括农业科学和工程领域的最新技术;一些研讨会的一个重要补充是包括实验人员，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。 早期的职业参与者，包括来自代表性不足群体的参与者，都是目标。 IPRPI反问题中心为这些研讨会提供了一个理想的环境。 所针对的问题领域都影响到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的成像，这是一个新的，非常快速的领域，预计会取得重大成功，另一个考虑扩散光学断层扫描，这也有很大的希望。 这两个领域的成功对人类健康产生重大影响。 另外两个研讨会讨论地理系统和波形层析成像的模糊识别。这两个目标都是了解地震动力学的影响，以及新能源的识别。 因此，个人的安全和个人生活质量受到强烈影响。 最后，微观分析研讨会强调了广泛的应用领域，包括雷达成像，这是一个重要的国土安全组成部分。 大部分资助支持的参与者是学生，博士后，初级教师，妇女和其他代表性不足的群体。