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调查员和她的倒子在五个不同的逆问题领域中组织了一系列五工作坊。 在所有情况下，所有代表的领域都在迅速发展，在所有新技术方面的数学进步，工程吸引力和新的实验中都可以合并在一起，以在纪律界面上提供丰富的机会。 据指示，研究项目将受到启发，并且在讲习班中新开发。 表现包括数学范围和工程学中的最先进技术；在某些工作室中，一个重要的补充是包括描述他们最新进展的实验者，从这些发育特性获得的数据集以及从该数据中获得的预期结果。 早期的参与者，包括来自代表性不足的群体的参与者的强大代表。 IPRPI中心问题中心提供了一个理想的环境，以迎合这些研讨会。 问题领域的目标所有影响个人生命性安全的质量。 其中两个讲习班专门针对医学成像；一种是对生物力学组织eProperties的成像，一个新的，非常快速的移动区域，具有显着的成功疗法，另一种考虑了扩散光学层析成像，这也有很大的希望。 在这两项中的成功显着影响了人类健康。 其他两个研讨会化地理系统和波形断层扫描中的识别。两者都靶向理解地震动力学的影响，以及对新能源的识别。 因此，个人生活和个人生活的质量受到强烈影响。 最后，微局部分析研讨会强调了国外的一组应用领域，包括雷达成像，这是Isan重要的国土安全组成部分。 学生，博士后，初级教职员工，妇女和其他代表性不足的团体的大多数参与者。