Modulated Fourier expansions and heterogeneous multiscale methods

Modulated Fourier expansions and heterogeneous multiscale methods
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DOI:
10.1093/imanum/drn031
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发表时间:
2009-07
影响因子:
2.1
通讯作者:
J. Sanz-Serna
J. Sanz-Serna
中科院分区:
数学2区
文献类型:
--
作者:
J. Sanz-Serna

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我们证明,对于高振动常微分方程问题,调制傅立叶展开方法可以很好地用来理解和分析E,Engquist和他们的同事提出的多尺度方法。
We show that, for highly oscillatory ordinary differential equation problems, the modulated Fourier expansion approach can be advantageously used to understand and analyse the heterogeneous multiscale methods introduced by E, Engquist and their co-workers.