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Scientific Computing Research Environments for the Mathematical Sciences (SCREMS)

Scientific Computing Research Environments for the Mathematical Sciences (SCREMS)
数学科学的科学计算研究环境 (SCREMS)
批准号:
0112383
负责人:
William Abikoff
金额:
$5.0万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2001
资助国家:
美国
项目状态:
已结题
起止时间:
2001-09-01 至 2002-08-31

项目摘要

项目成果

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中文摘要
翻译
康涅狄格大学斯托尔斯分校数学系将购买一个文件服务器,这是一个机架式集群,用于并行计算和可视化设备,将专门用于支持数学科学研究。该设备将用于几个研究项目,特别是:在研究生和博士后研究员的帮助下,教师的以下工作:Choi在并行算法方面的工作,以协助数学生物学中的虚拟细胞计划;诺伊曼教授将研究与马尔可夫链转移概率相关的并行化算法;几何分析和相关的可视化映射的扩展,流形的共形几何和特殊曲面,如有理最小曲面是教授们研究的重点。阿比科夫和麦库恩;拓扑计算和三维流形的相关代数和符号计算,以及Steenrod代数上的模块结构的计算,由某些向量束的分类空间产生,将由教授进行。詹巴尔沃和托勒夫森;计算偏微分方程在物理科学中的应用,包括耦合薛定谔方程、行波和非线性Gross-Pitaevskii方程。崔,科尔特拉赫特和麦肯纳。
英文摘要
The Department of Mathematics at the University of Connecticut atStorrs will purchase a file-server, a rack-mounted cluster forparallel computation and visualization equipment which will bededicated to the support of research in the mathematical sciences.The equipment will be used for several research projects, including inparticular: the following work of faculty with the assistance ofgraduate students and post-doctoral fellows:Prof. Choi's work on parallel algorithms to assist the virtual cellproject in mathematical biology; Prof. Neumann will study theparallelization of algorithms associated to transition probabilitiesof Markov chains; geometric analysis and associated visualization ofextensions of mappings, conformal geometry of manifolds and specialsurfaces such as rational minimal surfaces are the focus ofinvestigations by Profs. Abikoff and McCune; topological computationsand related algebraic and symbolic computations of 3-dimensionalmanifolds and of the structure of modules over the Steenrod algebrawhich arise from the classifying spaces of certain vector bundles willbe conducted by Profs. Giambalvo and Tollefson; Computational partialdifferential equations with applications in the physical scienceswhich include coupled Schr\"odinger equations, travelling waves andthe non-linear Gross-Pitaevskii equation will be studied byProfs. Choi, Koltracht and McKenna.
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The Lars Ahlfors Centennial Conference
  • 批准号:
    0725703
  • 项目类别:
    Standard Grant
  • 资助金额:
    $2.5万
  • 财政年份:
    2007
  • 负责人:
    William Abikoff
  • 依托单位:
2001 Ahlfors-Bers Colloquium
  • 批准号:
    0101539
  • 项目类别:
    Standard Grant
  • 资助金额:
    $3.0万
  • 财政年份:
    2001
  • 负责人:
    William Abikoff
  • 依托单位:
Mathematical Sciences Computing Research Environments
  • 批准号:
    9305863
  • 项目类别:
    Standard Grant
  • 资助金额:
    $8.2万
  • 财政年份:
    1993
  • 负责人:
    William Abikoff
  • 依托单位:
Mathematical Sciences: Kleinian Groups and Riemann Surfaces
  • 批准号:
    8503239
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $3.51万
  • 财政年份:
    1985
  • 负责人:
    William Abikoff
  • 依托单位:
海外基金