Applied Inverse Problems Workshop 2005

该奖项是为了支持一个国际合作项目，该项目将于2005年6月26-30日在英国塞伦塞斯特皇家农业学院(http://www.cs.ac.uk/aip2005/).)组织并举办一个以应用反问题为主题的国际研讨会。其中一位主席和五位组委会成员来自美国的大学。NSF的支持将主要用于帮助研究生、博士后和初级教职员工参加，否则他们将无法从美国参加。该项目源于前两个“应用反问题”。第一次是2001年在意大利，第二次是2003年在美国加利福尼亚州的箭头湖。预计总出席人数为170人。来自美国的调查人员估计，有15人是正教授水平，20人是其他教职员工，25人是博士/博士后。讲习班将由来自世界领先中心的研究人员领导，并将涵盖一些理论和应用领域，既有已有的，也有即将开展的，其中包括一套专门的“微型符号”。因此，这种影响触及了当今科学、工程和医学中的许多重要学科，并推进了计算数学本身的边界。补贴申请将在工作坊网站上提供。将征求学术导师的建议，并将根据需要和能力优先考虑。妇女、少数群体和残疾人将得到特别考虑。申请的资金将仅用于支持美国的参与者。最广义的反问题领域是研究从间接的导出量测量中恢复物理或数学结构性质的理论和实践方法。近年来，计算能力的巨大增长使得将反问题技术应用于日益复杂的情况成为可能。在科学、医学和工程领域的应用非常广泛，例如，包括一些医学和其他成像技术，石油和矿藏在地球次结构中的位置，从望远镜数据创建天体物理图像，发现材料内部的裂缝和界面，形状优化，生长过程中的模型识别，最近在生命科学中的建模。这次会议的目的是为从事这类反问题理论和应用工作的数学家和实践者提供一个论坛，并弥合分析方面的研究与其实际应用(主要是计算应用)之间的差距。我们希望通过将研究人员带到最先进的水平，为美国和其他地方的数学和跨学科社区提供及时和重要的推动。较年轻的参与者将能够在全球范围内评估其研究职业生涯下一阶段的当前机会。欧洲地点将为美国初级学员提供一个与欧洲(包括东欧)同行交流想法的绝佳机会。调查人员预计，这将导致新的合作。与传统的高级受邀演讲者和投稿论文的会议模式不同，研讨会的形式将允许全面了解最新技术、探索当前问题和新的应用，并将鼓励国内和国际以及学术界和产业界之间的新合作。

This award is to support an international cooperative project which will organise and run an international workshop on the subject of applied inverse problems at the Royal Agricultural College, Cirencester, UK, 26-30 June, 2005 (http://www.cs.ac.uk/aip2005/). One of the chairs and five of the organizing committee are from US universities. Support from NSF would be used to assist primarily the participation of graduate students, post-docs and junior faculty who would otherwise not be able to attend from the USA. The project has originated from two previous "Applied Inverse Problem". The first was in Italy in 2001 and the second at Lake Arrowhead, CA USA in 2003. A total attendance of 170 is expected. From the USA, the investigator estimates 15 at full professor level, 20 other faculty and 25 PhD/Postdocs. The workshop will be led by researchers from world-leading centres and will cover a number of theoretical and application areas, both established and upcoming, in a set of specialist ``minisymposia''. The impact thus touches many important disciplines in present-day science, engineering and medicine as well as advancing the boundaries of computational mathematics itself. Application for subsidy will be made available on the workshop website. Recommendations from academic supervisors will be sought and priority will be given according to need and ability. Women, minorities and people with disabilities will be given particular consideration. The requested fund will be used to support only US participants.The field of inverse problems in the broadest sense is the study of theoretical and practical methods for recovering the properties of physical or mathematical structures from indirect measurements of derived quantities. In recent years the enormous increase in computing power has made it possible to apply the techniques of inverse problems to situations of growing complexity. Applications are very widespread in science, medicine and engineering and include, for example, a number of medical as well as other imaging techniques, location of oil and mineral deposits in the earth's substructure, creation of astrophysical images from telescope data, finding cracks and interfaces within materials, shape optimization, model identification in growth processes and, more recently, modeling in the life sciences. The goal of this meeting is to provide a forum for mathematicians and practitioners working in the theory and applications of such inverse problems and to bridge the gap between research into analytical aspects and their practical, mostly computational, applications. We expect to provide a timely and significant boost to the mathematical and also cross-disciplinary communities in the USA and elsewhere by bringing researchers up to the state of the art. Younger participants will be able to assess current opportunities on a global scale for the next phases of their research careers. The European location will give junior US participants an excellent opportunity to exchange ideas with their European (including Eastern European) counterparts. The investigators expect that this will result in new collaborations. In contrast to the traditional meeting pattern of senior invited speakers and contributed papers, the workshop format will allow a comprehensive view of the state of the art, the exploration of current problems and new applications and will encourage new collaborations, both national and international and between academe and industry.