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Other Wavelet-Based Numerical Methods

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Wavelets Theory and Its Applications

Part of the book series: Forum for Interdisciplinary Mathematics ((FFIM))

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Abstract

Systematically, wavelet-based methods for solving PDEs can be separated into the following categories in a very broad manner. Methods based on wavelet expansions: Methods discussed in Sects. 7.4 and 8.2 fall in this category. Wavelet compression can be applied either to the solution [1] (i.e., to generate the adaptive grid as discussed in Sect. 9.1.1), the differential operators [2, 3], or both [4]. Wavelets are used to optimize traditional methods: Methods discussed in Sect. 9.1 fall in this category. Other wavelet methods: There are a few approaches that use wavelets in such a way that does not fit into anyone of previous categories and will be discussed in this chapter.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, Delhi, India

    Mani Mehra

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  1. Mani Mehra
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Mehra, M. (2018). Other Wavelet-Based Numerical Methods. In: Wavelets Theory and Its Applications. Forum for Interdisciplinary Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-13-2595-3_9

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