SM: Five Inverse Problems Workshops targeting Computational and Applied Mathematics together with Application Areas
SM: Five Inverse Problems Workshops targeting Computational and Applied Mathematics together with Application Areas
批准号:
0852516
负责人:
Joyce McLaughlin
金额:
$8.75万
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
项目状态:
已结题
起止时间:
2009-05-01 至 2013-05-31
中文摘要
研究者和她的同事在反问题的五个不同应用领域组织了一系列的五个研讨会。所有代表的领域都在迅速发展,在所有情况下,数学的进步、工程的进步以及新技术或创新思想所带来的新实验结合在一起,为学科界面上的新研究项目提供了丰富的机会。预计研究项目将受到启发,在某些情况下是新开发的,作为讲习班的结果。演讲内容包括数学科学和工程领域的最新技术;在一些研讨会中,一个重要的补充是包含了实验学家,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预期的结果。早期职业参与者,包括来自代表性不足群体的参与者的强大代表,都是目标。逆问题中心(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。其中两个讲习班专门针对医学成像;一个是生物力学组织特性成像,这是一个新的、非常快速发展的领域,有望取得重大成功;另一个是扩散光学断层扫描,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。另外两个车间研究地质系统识别和波形层析成像。两者的目标都是了解地震动力学的影响,以及新能源的识别。因此,个人安全和个人生活质量受到严重影响。最后,微局部分析研讨会强调了国外的一系列应用领域,包括雷达成像,这是国土安全的重要组成部分。大部分资助对象是学生、博士后、初级教员、女性和其他代表性不足的群体。
英文摘要
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.
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会议论文
Participant Funding: IPRPI Opening Conference
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批准号:0425004
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项目类别:Standard Grant
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资助金额:$1.5万
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财政年份:2004
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负责人:Joyce McLaughlin
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依托单位:
Participant Funding: Applied Inverse Problems - Theoretical and Computational Aspects
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批准号:0307794
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项目类别:Standard Grant
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资助金额:$2.0万
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财政年份:2003
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负责人:Joyce McLaughlin
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依托单位:
FRG: Solutions for Inverse Problems
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批准号:0101458
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项目类别:Standard Grant
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资助金额:$101.09万
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财政年份:2001
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负责人:Joyce McLaughlin
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依托单位:
Collaboration on Inverse Problems Using Holographic Image Data; Using RAM Theory
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批准号:9802309
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项目类别:Continuing Grant
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资助金额:$12.42万
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财政年份:1998
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负责人:Joyce McLaughlin
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依托单位:
Mathematical Sciences: Inverse Nodal Problems and Perturbation Theory in Higher Dimensions
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批准号:9410700
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项目类别:Standard Grant
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资助金额:$2.73万
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财政年份:1994
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负责人:Joyce McLaughlin
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依托单位:
Mathematical Sciences: Applied Mathematics Graduate ResearchTraineeship
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批准号:9256302
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项目类别:Standard Grant
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资助金额:$66.6万
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财政年份:1993
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负责人:Joyce McLaughlin
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依托单位:
Inverse Nodal Problems in Two Dimensions (Mathematics)
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批准号:8902967
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项目类别:Standard Grant
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资助金额:$6.25万
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财政年份:1990
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负责人:Joyce McLaughlin
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依托单位:
Mathematical Sciences: An Inverse Spectral Theory Problem for Bounded Domains in Two or More Dimensions
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批准号:8713722
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项目类别:Standard Grant
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资助金额:$3.4万
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财政年份:1987
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负责人:Joyce McLaughlin
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依托单位:
海外基金