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

McLaughlin DMS-0852516研究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。所有代表的领域都在快速发展，在所有情况下，数学进步、工程进步和由新技术或创新想法实现的新实验结合在一起，为学科之间的新研究项目创造了丰富的机会。预计研究项目将受到启发，在某些情况下，将作为讲习班的结果而新开发。报告包括数学科学和工程学的最新技术；一些研讨会的一个重要补充是包括描述他们最新进展的实验者，从这些实验中获得的数据集，以及他们从这些数据中预期的结果。职业生涯早期的参与者，包括来自代表性不足群体的大部分参与者，都是目标。反向问题中心(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属性成像，这是一个预计会取得重大成功的新的、非常快速的领域，另一个是扩散光学层析成像，它也有很大的前景。这两个领域的成功极大地影响了人类健康。另外两个工作坊将地球系统中的身份识别和波形层析技术相结合。两者的目标都是了解地震动力学的影响，以及确定新的能源来源。因此，个人的安全和个人的生活质量受到严重影响。最后，微局部分析研讨会强调了一系列广泛的应用领域，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、初级教职员工、女性和其他代表性不足的群体。

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.