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Robust and reliable software for the numerical solution of ODEs

Robust and reliable software for the numerical solution of ODEs
用于 ODE 数值求解的强大而可靠的软件
批准号：
8644-2006
负责人：
Enright, Wayne
金额：
$3.79万
依托单位：
University of Toronto
依托单位国家：
加拿大
项目类别：
Discovery Grants Program - Individual
财政年份：
2006
资助国家：
加拿大
项目状态：
已结题
起止时间：
2006-01-01 至 2007-12-31
来源：
https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=338358
关键词：
Robustreliablesoftwarenumericalsolution

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中文摘要
翻译
我们计划分析和改进常微分方程组(ODES)和偏微分方程组(PDE)数值方法的可靠性和健壮性。我们还计划分析和开发有效的工具，用于可视化和验证微分方程的近似解。我们将确定并量化在效率和可靠性之间产生的关键权衡。在可能的情况下，我们将实施允许用户从可用差错控制策略的小菜单中进行选择的方法。更昂贵的策略将产生近似解，其精度更有可能与规定的容差一致。
英文摘要
We plan to analyze and improve the reliability and robustness of numerical methods for differential equations -- both ordinary differential equations (ODEs) and partial differential equations (PDEs).We also plan to analyze and develop effective tools for the visualization and verification of approximate solutions to differential equations. We will identify and quantify the key trade-off that arises between efficiency and reliability. Where possible we will implement methods which allow the user to select from a small menu of available error control strategies. The more expensive strategies will produce approximate solutions that are more likely to have an accuracy that is consistent with the prescribed tolerance.
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The Development of Reliable Numerical Software for the Investigation of Systems of Differential Equations
  • 批准号：
    RGPIN-2016-05595
  • 项目类别：
    Discovery Grants Program - Individual
  • 资助金额：
    $1.89万
  • 财政年份：
    2021
  • 负责人：
    Enright, Wayne
  • 依托单位：
    University of Toronto
The Development of Reliable Numerical Software for the Investigation of Systems of Differential Equations
  • 批准号：
    RGPIN-2016-05595
  • 项目类别：
    Discovery Grants Program - Individual
  • 资助金额：
    $1.89万
  • 财政年份：
    2020
  • 负责人：
    Enright, Wayne
  • 依托单位：
    University of Toronto
The Development of Reliable Numerical Software for the Investigation of Systems of Differential Equations
  • 批准号：
    RGPIN-2016-05595
  • 项目类别：
    Discovery Grants Program - Individual
  • 资助金额：
    $1.89万
  • 财政年份：
    2019
  • 负责人：
    Enright, Wayne
  • 依托单位：
    University of Toronto
The Development of Reliable Numerical Software for the Investigation of Systems of Differential Equations
  • 批准号：
    RGPIN-2016-05595
  • 项目类别：
    Discovery Grants Program - Individual
  • 资助金额：
    $1.89万
  • 财政年份：
    2018
  • 负责人：
    Enright, Wayne
  • 依托单位：
    University of Toronto
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