Conference on mathematical and computational challenges of wave propagation and inverse problems

该项目为将于2015年4月9日至11日在密歇根州立大学密歇根东兰辛校园举行的关于波传播和反问题的数学和计算挑战的会议提供参与者支持。会议的主题是“反问题中的波传播”。波的传播和反问题在医学成像和地球自然资源的勘探中有着巨大的应用。本次会议汇集了世界领先的研究人员，讨论此类应用的最新进展。会议还为研究生、博士后、初级教员，特别是妇女、代表性不足的少数民族和残疾人提供了充分的机会介绍他们的工作。通过将会议设在密歇根州立大学校园的中心，将最大限度地增加当地、非数学学生和科学家的参与。会议对应用数学和计算数学的研究和教育的发展做出了重大贡献。会议重点讨论了三个相关话题。第一个是与波浪相关的多尺度、多物理建模、分析和计算技术的发展。第二是将反问题技术与成像分析方法相结合，用于雷达和声纳、地球物理勘探、无损检测和医学成像中出现的重要物理过程。三是随机介质中大尺度波传播的随机建模和不确定性量化，重点是成像和反演。会议提供了一个论坛，以更新这些研究领域的最新进展。通过在会议计划中穿插理论、应用和计算演讲，这次聚焦的会议将鼓励具有不同学科背景的科学家之间的合作。通过概述理论工具可能对当今最突出的问题产生的潜在影响，会议将影响和振兴会议演讲者机构的教育努力。

This project provides participant support for the ``Conference on mathematical and computational challenges of wave propagation and inverse problems'' that will be held in April 9-11, 2015 on the campus of Michigan State University, East Lansing, MI. The theme of the conference is "wave propagation in inverse problems". Wave propogation and inverse problems have tremendous applications in medical imaging and exploration of Earth natural resources. This conference brings together leading researchers in the world to discuss recent advances on such applications. The conference also provides ample opportunity for graduate students, post-docs, junior faculty, especially women, under-represented minorities and people with disabilities to present their work. By locating the conference central to the Michigan State University campus, participation of local, non-mathematical students and scientists will be maximized.The conference contributes significantly to the advancement of research and education in applied and computational mathematics. The conference focuses on three related topics. The first is the development of wave-related multi-scale, multi-physics modeling, analysis, and computation techniques. The second is the integration of inverse problem techniques with imaging analysis methods for important physical processes that arise in radar and sonar, geophysical exploration, non-destructive testing, and medical imaging. The third is the stochastic modeling and uncertainty quantification of the large scale wave propagation focusing on imaging and inversion in random media. The conference provides a forum to update recent progress on these research areas. By interspersing theoretical, applied, and computational talks in the conference program, this focused conference will encourage collaboration between scientists with various disciplinary backgrounds. By outlining the potential impact that theoretical tools can have on the most salient issues of our day, the conference will influence and invigorate the educational efforts at the institutions of the conference speakers.