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Symbolic-numeric algorithms and applications for systems of differential polynomial equations and inequalities

Symbolic-numeric algorithms and applications for systems of differential polynomial equations and inequalities
微分多项式方程组和不等式组的符号数值算法和应用
批准号：
RGPIN-2016-06458
负责人：
Reid, Gregory
金额：
$1.09万
依托单位：
University of Western Ontario
依托单位国家：
加拿大
项目类别：
Discovery Grants Program - Individual
财政年份：
2017
资助国家：
加拿大
项目状态：
已结题
起止时间：
2017-01-01 至 2018-12-31
来源：
https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=635179
关键词：
Symbolicnumericalgorithmsapplicationssystems

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英文摘要
This is an interdisciplinary proposal between pure mathematics, applied mathematics and computer science. Advanced methods from algebraic and differential geometry are used to create mathematical theory, algorithms and computer implementations for general systems of nonlinear partial differential equations. The algorithms identify and include missing constraints (integrability conditions) resulting from differentiating such systems. Such constraints restrict initial and boundary data, and are crucial in determination of analytical features and numerical solutions of such systems.
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Symbolic-numeric algorithms and applications for systems of differential polynomial equations and inequalities
  • 批准号：
    RGPIN-2016-06458
  • 项目类别：
    Discovery Grants Program - Individual
  • 资助金额：
    $1.09万
  • 财政年份：
    2021
  • 负责人：
    Reid, Gregory
  • 依托单位：
    University of Western Ontario
Symbolic-numeric algorithms and applications for systems of differential polynomial equations and inequalities
  • 批准号：
    RGPIN-2016-06458
  • 项目类别：
    Discovery Grants Program - Individual
  • 资助金额：
    $1.09万
  • 财政年份：
    2020
  • 负责人：
    Reid, Gregory
  • 依托单位：
    University of Western Ontario
Symbolic-numeric algorithms and applications for systems of differential polynomial equations and inequalities
  • 批准号：
    RGPIN-2016-06458
  • 项目类别：
    Discovery Grants Program - Individual
  • 资助金额：
    $1.09万
  • 财政年份：
    2019
  • 负责人：
    Reid, Gregory
  • 依托单位：
    University of Western Ontario
Symbolic-numeric algorithms and applications for systems of differential polynomial equations and inequalities
  • 批准号：
    RGPIN-2016-06458
  • 项目类别：
    Discovery Grants Program - Individual
  • 资助金额：
    $1.09万
  • 财政年份：
    2018
  • 负责人：
    Reid, Gregory
  • 依托单位：
    University of Western Ontario
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