EMSW21-RTG: Research Training Group on Inverse Problems and Partial Differential Equations

EMSW21-RTG:反问题和偏微分方程研究培训组

基本信息

  • 批准号:
    0838212
  • 负责人:
  • 金额:
    $ 207.09万
  • 依托单位:
  • 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:
    2009-06-01 至 2014-05-31
  • 项目状态:
    已结题

项目摘要

This award is funded under the American Recovery and Reinvestment Act of 2009 (Public Law 111-5). This RTG grant at the University of Washington (UW) supports an array of activities that will enhance the education and training of undergraduate students, graduate students, and early career postdoctoral researchers in the field of inverse problems and partial differential equations (IPDE). A highlight of the project is a summer school for advanced undergraduate and beginning graduate students. The school will consist of two three-week courses that introduce students to current research techniques in IPDE. Topics will include both theoretical models and numerical tools. These courses will be supplemented by week-long guest lecturers, who will give talks that complement the main topics. The summer school will be coordinated with the Research Experience for Undergraduates (REU) program at UW that is run by co-PI James Morrow. The budget includes funding for three UW students to attend the REU program, and for a teaching assistant to offset the increased workload. The IPDE group will additionally institute a Visiting Academic and Industrial Internship Program for its graduate students. Advanced graduate students will be offered the opportunity to work with senior researchers at institutions in the US and abroad. Past IPDE students have profited from such visits to other universities, as well as to research laboratories at Chevron and Lawrence Livermore. RTG funding will allow the IPDE group to systematize this practice and make it available to all IPDE students. A significant portion of the grant is to provide for the support of graduate students and postdoctoral assistants. Funding is included for a total of eight years of postdoctoral fellows at 50% support and for an average of seven graduate students in graduate traineeships each year of the grant. Graduate students will be supported for two quarters of the academic year, as well as for the summer quarter. Postdoctoral fellows will receive their remaining salary through teaching a 50% normal load. Travel funds are included for both graduate students and postdoctoral fellows. Undergraduate stipends are also provided to fund undergraduate research projects and internships in local laboratories. The IPDE seminar series will be enhanced through a preseminar series of lectures, and funding is provided for extended visits to the department by seminar speakers.IPDE is an active field that encompasses research in seismic exploration, medical imaging, and models arising in physical theories. The RTG grant provides significant support for graduate education in this area during a period of reduced local funding for teaching assistant positions. The average of fourteen quarters per year of graduate traineeship support in the budget will allow the department to sustain a vital graduate student population, and provide US citizen and permanent resident IPDE students with release time from teaching duties to devote to research. These graduate students will receive funding under the budgeted Academic and Industrial Internship Program for extended visits to other universities and research laboratories. They will establish contacts with potential employers and build relations with additional academic mentors. These contacts will be created at stages in their careers before they have the responsibilities of academic positions and will assist them throughout their early careers. The funding for postdoctoral associate positions will allow IPDE members to leverage department and college funds to form a viable group of postdoctoral researchers. The 50% teaching load will provide additional time for postdoctoral associates to devote to research; travel funds will allow for visits to other institutions. The summer school will attract advanced undergraduate and beginning graduate students from across the country and introduce them to current research topics in the field of IPDE. The department will be able to identify potential students to recruit to its graduate program, and the graduate support funds will allow us to attract top candidates. Support for the REU program will sponsor the participation of three students each year from UW. This program attracts applications nationwide, and there are many more qualified applicants than can be currently funded. A number of strong applicants come through the honors undergraduate courses at UW and will be recruited for the REU program. Funding for an additional TA position to assist with running the REU will benefit all participants and provide an advanced undergraduate or graduate student with support during the summer. The collective activities of the RTG grant will strengthen the IPDE program at UW at all career levels, and introduce students nationwide to this important area of research.
该奖项是根据2009年《美国复苏与再投资法》(公法111-5)资助的。华盛顿大学(UW)的这项RTG赠款支持一系列活动,以增强本科生,研究生和早期职业生涯的教育和培训。该项目的亮点是一所暑期学校,供高级本科生和初学者。该学校将由两个为期三周的课程组成,这些课程将学生介绍IPDE的当前研究技术。主题将包括理论模型和数值工具。这些课程将由为期一周的客座讲师补充,他们将提供与主要主题相辅相成的演讲。暑期学校将与UW的本科生研究经验(由Co-Pi James Morrow开展的大学生)进行协调。预算包括为三名UW学生参加REU计划的资金,以及助教以抵消增加的工作量。 IPDE集团还将为研究生制定一项访问学术和工业实习计划。高级研究生将有机会与美国和国外机构的高级研究人员合作。过去的IPDE学生从此类访问中获利,以及雪佛龙和劳伦斯·利弗莫尔的研究实验室。 RTG资金将使IPDE集团能够系统化此练习并为所有IPDE学生提供。该赠款的很大一部分是为研究生和博士后助理提供支持。资金的总共包括八年的博士后研究员,每年平均每年获得赠款的研究生学员的七名研究生。研究生将在本学年以及夏季季度的两个季度得到支持。博士后研究员将通过教授50%的正常负担获得剩余的薪水。研究生和博士后研究员都包括旅行资金。还提供了本科津贴,以资助当地实验室的本科研究项目和实习。 IPDE研讨会系列将通过一系列先验系列的讲座来增强,并通过研讨会扬声器向该部门进行扩展访问,IPDE是一个活跃的领域,涵盖了地震探索,医学成像以及在物理理论中产生的模型中的研究。在减少当地助教职位资金的时期,RTG赠款为该领域的研究生教育提供了重大支持。预算中,每年平均有14个季度的研究生培训支持将使该系能够维持重要的研究生群体,并为美国公民和永久居民IPDE学生提供从教学职责到致力于研究的时间。这些研究生将根据预算的学术和工业实习计划获得资金,以扩大对其他大学和研究实验室的访问。他们将与潜在的雇主建立联系,并与其他学术导师建立关系。这些联系将在他们职业生涯的阶段创建,然后才能在学术职位的责任中,并将在整个早期职业生涯中为他们提供帮助。博士后同事职位的资金将使IPDE成员能够利用部门和大学资金组成可行的博士后研究人员。 50%的教学负载将为博士后同事提供更多的时间进行研究。旅行资金将允许访问其他机构。暑期学校将吸引来自全国各地的高级本科生和初学者,并向他们介绍IPDE领域的当前研究主题。该部门将能够确定潜在的学生招募其研究生课程,而研究生支持资金将使我们能够吸引顶级候选人。对REU计划的支持将每年从UW赞助三个学生的参与。该计划在全国范围内吸引了申请,并且合格的申请人比目前的资金多。许多强大的申请人通过UW的荣誉本科课程,并将招募为REU计划。为额外的TA职位提供资金以协助运行REU,将使所有参与者受益,并在夏季为高级本科生或研究生提供支持。 RTG赠款的集体活动将在所有职业级别上加强UW的IPDE计划,并向全国范围的学生介绍这一重要的研究领域。

项目成果

期刊论文数量(0)
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会议论文数量(0)
专利数量(0)

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Gunther Uhlmann其他文献

Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in \R^N
R^N 中可变指数的 Musielak-Orlicz-Morrey 空间上的极大函数、Riesz 势和 Sobolev 嵌入
  • DOI:
  • 发表时间:
    2011
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Sei Nagayasu;Gunther Uhlmann;Jenn-Nan Wang;大野 貴雄;日比野 正樹;Mervan Pasic and Satoshi Tanaka;鈴木政尋;Tadahiro Miyao;大野貴雄
  • 通讯作者:
    大野貴雄
On determining a Riemannian manifold from the Dirichlet-to-Neumann map
从狄利克雷到诺依曼映射确定黎曼流形
  • DOI:
  • 发表时间:
    2001
  • 期刊:
  • 影响因子:
    0
  • 作者:
    BY Matti Lassas;Gunther Uhlmann
  • 通讯作者:
    Gunther Uhlmann
Formal power series solutions of nonlinear partial differential equations and their multisummability
非线性偏微分方程的形式幂级数解及其多重可求性
On the summability of divergent power series solutions of certain first-order linear PDEs
关于某些一阶线性偏微分方程的发散幂级数解的可和性
  • DOI:
  • 发表时间:
    2013
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Victor Isakov;Sei Nagayasu;Gunther Uhlmann;Jenn-Nan Wang;大野 貴雄;T.Miyao;日比野 正樹
  • 通讯作者:
    日比野 正樹
1階偏微分方程式に対するCauchy-Kowalevsky の定理の不動点定理による証明
使用不动点定理证明一阶偏微分方程的柯西-科瓦列夫斯基定理
  • DOI:
  • 发表时间:
    2012
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Sei Nagayasu;Gunther Uhlmann;Jenn-Nan Wang;大野 貴雄;日比野 正樹
  • 通讯作者:
    日比野 正樹

Gunther Uhlmann的其他文献

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{{ truncateString('Gunther Uhlmann', 18)}}的其他基金

Conformal Geometry, Analysis, and Physics
共形几何、分析和物理
  • 批准号:
    2154127
  • 财政年份:
    2022
  • 资助金额:
    $ 207.09万
  • 项目类别:
    Standard Grant
Mathematics for Imaging with Waves
波成像数学
  • 批准号:
    2105956
  • 财政年份:
    2021
  • 资助金额:
    $ 207.09万
  • 项目类别:
    Standard Grant
Applied Inverse Problems Conference 2019
2019年应用反问题会议
  • 批准号:
    1856116
  • 财政年份:
    2019
  • 资助金额:
    $ 207.09万
  • 项目类别:
    Standard Grant
Inverse Boundary Problems
逆边界问题
  • 批准号:
    1800453
  • 财政年份:
    2018
  • 资助金额:
    $ 207.09万
  • 项目类别:
    Continuing Grant
Applied Inverse Problems 2014 Conference Finland
2014 年芬兰应用反问题会议
  • 批准号:
    1500517
  • 财政年份:
    2015
  • 资助金额:
    $ 207.09万
  • 项目类别:
    Standard Grant
International Congress of Mathematical Physics 2015; Santiago, Chile; July 27-August 1, 2015
2015年国际数学物理大会;
  • 批准号:
    1505555
  • 财政年份:
    2015
  • 资助金额:
    $ 207.09万
  • 项目类别:
    Standard Grant
Applied Inverse Problems 2013 Conference
应用反问题2013年会议
  • 批准号:
    1310868
  • 财政年份:
    2013
  • 资助金额:
    $ 207.09万
  • 项目类别:
    Standard Grant
Inverse Boundary Problems
逆边界问题
  • 批准号:
    1265958
  • 财政年份:
    2013
  • 资助金额:
    $ 207.09万
  • 项目类别:
    Continuing Grant
International Conference on Inverse Problems and PDE Control
反问题和偏微分方程控制国际会议
  • 批准号:
    1201356
  • 财政年份:
    2012
  • 资助金额:
    $ 207.09万
  • 项目类别:
    Standard Grant
Workshop on Coupled-Physics Inverse Problems
耦合物理反问题研讨会
  • 批准号:
    1301825
  • 财政年份:
    2012
  • 资助金额:
    $ 207.09万
  • 项目类别:
    Standard Grant

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Collaborative Research: EMSW21-RTG: Logic in Southern California
合作研究:EMSW21-RTG:南加州的逻辑
  • 批准号:
    1044150
  • 财政年份:
    2011
  • 资助金额:
    $ 207.09万
  • 项目类别:
    Continuing Grant
Collaborative Research: EMSW21-RTG: Logic in Southern California
合作研究:EMSW21-RTG:南加州的逻辑
  • 批准号:
    1044604
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    2011
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    $ 207.09万
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    Continuing Grant
EMSW21-RTG: Training the Research Workforce in Geometry, Topology and Dynamics
EMSW21-RTG:几何、拓扑和动力学方面的研究人员培训
  • 批准号:
    1045119
  • 财政年份:
    2011
  • 资助金额:
    $ 207.09万
  • 项目类别:
    Continuing Grant
Collaborative Research: EMSW21-RTG: Logic in Southern California
合作研究:EMSW21-RTG:南加州的逻辑
  • 批准号:
    1044448
  • 财政年份:
    2011
  • 资助金额:
    $ 207.09万
  • 项目类别:
    Continuing Grant
EMSW21-RTG: Research Training Group in Interactions of Representation Theory, Geometry and Combinatorics
EMSW21-RTG:表示论、几何和组合学相互作用研究培训小组
  • 批准号:
    0943745
  • 财政年份:
    2010
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    Continuing Grant
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