On the ideal weights for WENO/WENO-like finite difference schemes for the first derivative, I

Jian Kang and Xinliang Li
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Jian Kang: University of Chinese Academy of Sciences, No. 19 Yuquan Road, Shijingshan District, Beijing 100049, P. R. China2Institute of Mechanics, Chinese Academy of Sciences, No. 15 Beisihuanxi Road, Haidian District, Beijing 100190, P. R. China
Xinliang Li: University of Chinese Academy of Sciences, No. 19 Yuquan Road, Shijingshan District, Beijing 100049, P. R. China2Institute of Mechanics, Chinese Academy of Sciences, No. 15 Beisihuanxi Road, Haidian District, Beijing 100190, P. R. China

International Journal of Modern Physics C (IJMPC), 2020, vol. 31, issue 07, 1-12

Abstract: An interesting fact which was used in the construction of targeted essentially non-oscillatory (TENO) schemes is that a (n+1)th order accurate scheme can be written as a linear combination of two nth order accurate schemes. Taking advantage of this fact, we propose a formula to determine the ideal weights used in developing finite difference WENO/WENO-like schemes. Such quantitative results are helpful for further discussion on finite difference WENO/WENO-like schemes.

Keywords: Finite difference; weighted essentially non-oscillatory; ideal weights; proof (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S0129183120500990

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