Calculation and approximation of the cnoidal function in cnoidal wave theory

DOI10.1016/J.COMPFLUID.2012.07.012zbMath1365.65051OpenAlexW1974310625MaRDI QIDQ2361961

Xiaohe Xia, Yunfeng Xu, Jian-Hua Wang

Publication date: 5 July 2017

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2012.07.012

zbMATH Keywords

maximum errortrigonometric function approximationabsolute average errorcnoidal functioncnoidal wave theory

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Elliptic functions and integrals (33E05) Numerical approximation and evaluation of special functions (33F05)

Cites Work

• On precise integration method.
• The anomalous behavior of the runup of cnoidal waves
• Cnoidal waves and bores in uniform channels of arbitrary cross-section
• A presentation of cnoidal wave theory for practical application

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