Spectral Methods
Spectral Methods
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DOI：
10.1007/978-3-030-31574-0_8
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
Nathan Mendes;M. Chhay;J. Berger;D. Dutykh
中科院分区：
文献类型：
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作者：
Nathan Mendes;M. Chhay;J. Berger;D. Dutykh
这些笔记的主题可以很容易地扩展到一个完整的一学期的课程。尽管如此，我们将尝试沿着给出谱方法和伪谱方法的理论基础。主要重点是傅立叶型离散，即使一些迹象表明如何处理非周期性问题，通过切比雪夫和勒让德的方法，以及。这里提出的应用是根据博士学校的主题扩散型问题。
The topic of these notes could be easily expanded into a full one-semester course. Nevertheless, we shall try to give some flavour along with theoretical bases of spectral and pseudo-spectral methods. The main focus is made on Fourier-type discretizations, even if some indications on how to handle non-periodic problems via Tchebyshev and Legendre approaches are made as well. The applications presented here are diffusion-type problems in accordance with the topics of the PhD school.