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Implementation and analysis of adaptive algorithms for the numerical solution of partial differential equations

Implementation and analysis of adaptive algorithms for the numerical solution of partial differential equations
偏微分方程数值求解自适应算法的实现与分析
批准号:
311796-2008
负责人:
Haynes, Ronald
金额:
$0.39万
依托单位国家:
加拿大
项目类别:
Discovery Grants Program - Individual
财政年份:
2009
资助国家:
加拿大
项目状态:
已结题
起止时间:
2009-01-01 至 2010-12-31

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英文摘要
Mathematically, many models of interesting physical phenomena are written as partial differential equations (PDEs). Except for certain idealized situations, the PDEs which result are not amenable to analytical solution. Instead we rely on numerical approximations. I am particularly interested in time-dependent PDEs in two or three spatial dimensions whose solutions exhibit large solution variation, some type of singularity, blow-up or moving fronts. To efficiently track these regions of interest it is necessary to develop methods which adapt to the rapidly evolving features of the solution.
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  • 批准号:
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  • 项目类别:
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  • 资助金额:
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