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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:
9406776
负责人:
Ronald Shonkwiler (Shenk)
金额:
$5.0万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
1994
资助国家:
美国
项目状态:
已结题
起止时间:
1994-07-15 至 1995-06-30

项目摘要

项目成果

Ronald Shonkwiler (Shenk)的其他基金

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中文摘要
翻译
9406776佐治亚理工学院数学学院首席研究员Shonkwiler将购买硅谷图形挑战赛L并行计算机相关硬件和软件。这台设备将专门用于支持群体中个人的数学研究,他们中的一些人需要计算能力来使他们的计算可行,还有一些人正在进行并行处理的研究。这些设备将使国际和平研究所及其研究生能够开展几个研究项目,特别包括:常微分方程组的全球动力学;来自时间序列数据的全球动力学;3.)四色定理的证明及其推广,称为格罗茨奇猜想;双曲组的数值方法;和5.)全局优化中的随机重新启动。所有上述项目都具有强大的计算组件,旨在开发可靠和严格的算法。
英文摘要
9406776 Shonkwiler The Principal Investigators of the School of Mathematics of the Georgia Institute of Technology will purchase a Silicon Graphics Challenge L parallel computer associated hardware and software. This equipment will be dedicated to support the mathematical research of the individual of the group some of whom need the computational power to make their computations feasible and some of whom are doing research in parallel processing. The equipment will allow the PI's and their graduate students to carry out several research projects, including in particular: 1.) Global Dynamics of Ordinary Differential Equations; 2.) Global Dynamics from Time Series Data; 3.) Proof of the Four Color Theorem and its Generalization Known as Grotzsch Conjecture; 4.) Numerical Methods for Hyperbolic Systems; and 5.) Random Restarts in Global Optimization. All of the projects above have a strong computational component and aim at developing reliable and rigorously algorithms.
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Research in Manipulating Fractal Images and Fractal Analysis
  • 批准号:
    9705135
  • 项目类别:
    Standard Grant
  • 资助金额:
    $7.1万
  • 财政年份:
    1997
  • 负责人:
    Ronald Shonkwiler (Shenk)
  • 依托单位:
Mathematical Sciences: Fractal Encoding of Rock Fractures
  • 批准号:
    9201304
  • 项目类别:
    Standard Grant
  • 资助金额:
    $9.96万
  • 财政年份:
    1992
  • 负责人:
    Ronald Shonkwiler (Shenk)
  • 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
SCIENCE CHINA Information Sciences