IMA Participating Institution Graduate Summer School 2010: Computational Wave Propagation, Michigan State University

IMA参与机构研究生暑期学校2010:计算波传播,密歇根州立大学

基本信息

  • 批准号:
    1011791
  • 负责人:
  • 金额:
    $ 2.74万
  • 依托单位:
  • 依托单位国家:
    美国
  • 项目类别:
    Standard Grant
  • 财政年份:
    2010
  • 资助国家:
    美国
  • 起止时间:
    2010-10-01 至 2011-09-30
  • 项目状态:
    已结题

项目摘要

The investigator and his collaborators are organizing the 2010 IMA participating institutes graduate summer school. Additional support from the NSF will enable the investigators to bring in students from non-IMA affiliated institutions and invite domestic and international speakers to give lectures. The 2010 summer school on computational wave propagation covers three different topics: advanced numerical methods for full wave propagation, contemporary asymptotic methods for wave equations, and applications of wave equations. The part of the advanced numerical methods for full wave propagation will be led by Jean-Claude Nedelec of Polytechnique, France. The part of the contemporary asymptotic methods for wave equations will be led by Robert Burridge. The part of applications of wave equations will consist of roughly twelve lectures by active researchers in wave propagation. This is a unique and timely synthesis of disciplines that will position future researchers for the next step in computational wave propagation. In turn, this will have long-term impact in applied mathematics, engineering and industrial applications. The IMA graduate summer school has a 19-year record of excellent programs that have jump-started the careers of many young mathematicians. Average attendance for these events in recent years has been 58 participants, including organizers and speakers. The 2010 graduate summer school brings students together with outstanding researchers in an intimate and intensive setting which will lead students to the frontiers of mathematical research. Students have a chance to get to know world-class mathematicians on a less formal basis than their interactions with the faculty at their home institutions. Feedback from participants of past programs has been unequivocally positive. The IMA summer schools are an important option for graduate students in mathematics as they reach for advanced degrees, and they are an attractive feature of affiliate institutions' graduate programs. The IMA and its affiliates are particularly committed to helping to advance the careers of mathematics students from under-represented groups. In addition, the focus of the 2010 graduate summer school is on computational wave propagation which has many important applications in nanotechnology, material sciences, and radar technology.
研究者和他的合作者正在组织2010年IMA参与机构的研究生暑期学校。国家科学基金会的额外支持将使研究人员能够从非ima附属机构引进学生,并邀请国内外演讲者进行讲座。2010年计算波传播暑期学校涵盖三个不同的主题:全波传播的高级数值方法,波方程的当代渐近方法,以及波方程的应用。全波传播的先进数值方法部分将由法国理工学院的Jean-Claude Nedelec领导。波方程的当代渐近方法部分将由Robert Burridge领导。波动方程的应用部分将由活跃的波传播研究人员大约十二堂课组成。这是一个独特而及时的学科综合,将定位未来的研究人员在计算波传播的下一步。反过来,这将对应用数学、工程和工业应用产生长期影响。IMA研究生暑期学校有19年的优秀项目记录,这些项目启动了许多年轻数学家的职业生涯。近年来,包括组织者和演讲者在内,这些活动的平均出席人数为58人。2010年研究生暑期学校将学生与优秀的研究人员在亲密和密集的环境中聚集在一起,将学生带到数学研究的前沿。学生们有机会在不那么正式的基础上认识世界级的数学家,而不是在他们与本国机构的教师互动。过去项目参与者的反馈是明确的积极的。IMA暑期学校是攻读高级学位的数学研究生的一个重要选择,也是附属机构研究生课程的一个有吸引力的特点。IMA及其附属机构特别致力于帮助来自代表性不足群体的数学学生推进职业发展。此外,2010年研究生暑期学校的重点是计算波传播,它在纳米技术,材料科学和雷达技术中有许多重要的应用。

项目成果

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Jianliang Qian其他文献

Correction to: A Finite Element/Operator-Splitting Method for the Numerical Solution of the Two Dimensional Elliptic Monge–Ampère Equation
  • DOI:
    10.1007/s10915-018-0854-z
  • 发表时间:
    2018-10-28
  • 期刊:
  • 影响因子:
    3.300
  • 作者:
    Roland Glowinski;Hao Liu;Shingyu Leung;Jianliang Qian
  • 通讯作者:
    Jianliang Qian
Simplex free adaptive tree fast sweeping and evolution methods for solving level set equations in arbitrary dimension
  • DOI:
    10.1016/j.jcp.2005.08.020
  • 发表时间:
    2006-04-10
  • 期刊:
  • 影响因子:
  • 作者:
    Thomas C. Cecil;Stanley J. Osher;Jianliang Qian
  • 通讯作者:
    Jianliang Qian
Hadamard integrators for wave equations in time and frequency domain: Eulerian formulations via butterfly algorithms
时域和频域波动方程的 Hadamard 积分器:通过蝶形算法的欧拉公式
  • DOI:
    10.48550/arxiv.2401.01423
  • 发表时间:
    2024
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Yuxiao Wei;Jin Cheng;Shingyu Leung;Robert Burridge;Jianliang Qian
  • 通讯作者:
    Jianliang Qian
Tensor-FLAMINGO unravels the complexity of single-cell spatial architectures of genomes at high-resolution
Tensor-FLAMINGO 以高分辨率揭示了基因组单细胞空间结构的复杂性
  • DOI:
    10.1038/s41467-025-58674-w
  • 发表时间:
    2025-04-11
  • 期刊:
  • 影响因子:
    15.700
  • 作者:
    Hao Wang;Jiaxin Yang;Xinrui Yu;Yu Zhang;Jianliang Qian;Jianrong Wang
  • 通讯作者:
    Jianrong Wang
An accurate spectral/discontinuous finite-element formulation of a phase-space-based level set approach to geometrical optics
  • DOI:
    10.1016/j.jcp.2005.02.009
  • 发表时间:
    2005-09-01
  • 期刊:
  • 影响因子:
  • 作者:
    Bernardo Cockburn;Jianliang Qian;Fernando Reitich;Jing Wang
  • 通讯作者:
    Jing Wang

Jianliang Qian的其他文献

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{{ truncateString('Jianliang Qian', 18)}}的其他基金

Innovative Butterfly-Compressed Microlocal Hadamard-Babich Integrators for Large-Scale High-Frequency Wave Modeling and Inversion in Variable Media
用于可变介质中大规模高频波建模和反演的创新型蝶形压缩微局域 Hadamard-Babich 积分器
  • 批准号:
    2309534
  • 财政年份:
    2023
  • 资助金额:
    $ 2.74万
  • 项目类别:
    Standard Grant
Collaborative: Novel Fast Microlocal, Domain-Decomposition Algorithms for High-Frequency Elastic Wave Modeling and Inversion in Variable Media
协作:用于可变介质中高频弹性波建模和反演的新型快速微局部域分解算法
  • 批准号:
    2012046
  • 财政年份:
    2020
  • 资助金额:
    $ 2.74万
  • 项目类别:
    Standard Grant
OP: Collaborative Research: Development of Advanced Image Reconstruction Methods for Pre-Clinical Applications of Photoacoustic Computed Tomographry
OP:合作研究:光声计算机断层扫描临床前应用的先进图像重建方法的开发
  • 批准号:
    1614566
  • 财政年份:
    2016
  • 资助金额:
    $ 2.74万
  • 项目类别:
    Continuing Grant
Fast Huygens Sweeping Methods for Large-Scale High Frequency Wave Propagation and Wave-Related Imaging Problems
用于大规模高频波传播和波相关成像问题的快速惠更斯扫描方法
  • 批准号:
    1522249
  • 财政年份:
    2015
  • 资助金额:
    $ 2.74万
  • 项目类别:
    Standard Grant
Conference on mathematical and computational challenges of wave propagation and inverse problems
波传播和反问题的数学和计算挑战会议
  • 批准号:
    1439979
  • 财政年份:
    2014
  • 资助金额:
    $ 2.74万
  • 项目类别:
    Standard Grant
Fast level-set methods for large-scale geospatial-information based inverse gravimetry problems and applications to threats detection
基于大规模地理空间信息的反重力问题的快速水平集方法及其在威胁检测中的应用
  • 批准号:
    1222368
  • 财政年份:
    2012
  • 资助金额:
    $ 2.74万
  • 项目类别:
    Standard Grant
Fast multiscale Gaussian wavepacket transforms and multiscale Gaussian beams for high-frequency waves and inverse problems
用于高频波和反演问题的快速多尺度高斯波包变换和多尺度高斯光束
  • 批准号:
    1115363
  • 财政年份:
    2011
  • 资助金额:
    $ 2.74万
  • 项目类别:
    Standard Grant
New numerical methods for Hamilton-Jacobi equations, Gaussian beams, and kinetic inverse problems
Hamilton-Jacobi 方程、高斯梁和动力学反问题的新数值方法
  • 批准号:
    0810104
  • 财政年份:
    2008
  • 资助金额:
    $ 2.74万
  • 项目类别:
    Standard Grant
New Numerical Methods for Hamilton-Jacobi and Liouville Equations; Their Applications to Geometrical Optics, Wave Propagation and Travel-time Tomography
Hamilton-Jacobi 和 Liouville 方程的新数值方法;
  • 批准号:
    0753797
  • 财政年份:
    2007
  • 资助金额:
    $ 2.74万
  • 项目类别:
    Standard Grant
New Numerical Methods for Hamilton-Jacobi and Liouville Equations; Their Applications to Geometrical Optics, Wave Propagation and Travel-time Tomography
Hamilton-Jacobi 和 Liouville 方程的新数值方法;
  • 批准号:
    0542174
  • 财政年份:
    2005
  • 资助金额:
    $ 2.74万
  • 项目类别:
    Standard Grant

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