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Mathematical Sciences Computing Research Environments

Mathematical Sciences Computing Research Environments
数学科学计算研究环境
批准号:
9508223
负责人:
Clarence Wilkerson
金额:
$7.3万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
1995
资助国家:
美国
项目状态:
已结题
起止时间:
1995-08-01 至 1998-01-31

项目摘要

项目成果

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中文摘要
翻译
普渡大学数学系将购买4台高性能工作站。这些系统将与一个文件服务器和高速网络相结合,形成一个与现有部门网络兼容的高速计算集群。该设备将专门用于支持数学科学的研究,并将用于研究项目,特别是以下的纯数学和应用数学项目。应用数学方面的研究包括多孔介质流动的三维建模、梯度加权移动单元法三维时变偏微分方程的数值求解、小波在二维和三维非线性图像快速处理中的应用。在纯数学项目提出了从复杂变量实现经典核函数的数值新分解,将符号计算技术应用于交换代数,代数几何和代数拓扑问题。这些项目共享对高性能的需求,因为在大多数情况下,当前的测试用例需要在可用的设备上运行许多小时或几天。
英文摘要
9508223 Wilkerson The Department of Mathematics at Purdue University will purchase four high performance workstations. These would be integrated with a fileserver and highspeed networking to form a highspeed computing cluster compatible with the existing departmental network. This equipment will be dedicated to the support of research in the mathematical sciences and will be used for research projects, including in particular the following projects in pure and applied mathematics. The projects from applied mathematics include the 3-D modeling of flow in porous media, the numerical solution of 3-D time dependent PDEs by the gradient-weighted moving element method, and the application of wavelets to fast nonlinear image processing in 2-D and 3-D. Projects in pure mathematics propose to implement numerically new decompositions of classical kernel functions from complex variables, to apply symbolic calculation techniques to problems from commutative algebra, algebraic geometry, and algebraic topology. These projects share the demand for high performance, since in most instances the current test cases demand many hours or days on the available equipment.
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Collaborative Research: FRG: Homotopical Approaches to Group Actions
  • 批准号:
    0354787
  • 项目类别:
    Standard Grant
  • 资助金额:
    $40.5万
  • 财政年份:
    2004
  • 负责人:
    Clarence Wilkerson
  • 依托单位:
Operads, Group Actions, and Classifying Spaces
  • 批准号:
    0206963
  • 项目类别:
    Standard Grant
  • 资助金额:
    $13.05万
  • 财政年份:
    2002
  • 负责人:
    Clarence Wilkerson
  • 依托单位:
The Algebra of Spectra, Group Actions, and Classifying Spaces
  • 批准号:
    9971953
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $34.3万
  • 财政年份:
    1999
  • 负责人:
    Clarence Wilkerson
  • 依托单位:
Mathematical Sciences: Lie Groups up to Homotopy
  • 批准号:
    9505006
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $9.95万
  • 财政年份:
    1995
  • 负责人:
    Clarence Wilkerson
  • 依托单位:
国内基金
海外基金
Handbook of the Mathematics of the Arts and Sciences的中文翻译
  • 批准号:
    12226504
  • 项目类别:
    数学天元基金项目
  • 资助金额:
    20.0万元
  • 批准年份:
    2022
  • 负责人:
    黄朝凌
  • 依托单位:
SCIENCE CHINA: Earth Sciences
Journal of Environmental Sciences
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