Semi-analytical Karhunen-Loeve representation of irregular waves based on the prolate spheroidal wave functions

DOI10.1016/j.jcp.2017.09.023zbMath1375.45002OpenAlexW2756988368MaRDI QIDQ1683831

Gibbeum Lee, Yeunwoo Cho

Publication date: 1 December 2017

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.09.023

zbMATH Keywords

Karhunen-Loeve expansionprolate spheroidal wave functionordinary irregular wavesrepresentation of random data

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Data smoothing in stochastic control theory (93E14) Wave equation (35L05) Eigenvalue problems for integral equations (45C05)

Cites Work

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• The use of the Karhunen-Loève procedure for the calculation of linear eigenfunctions
• The eigenvalue problem for infinite complex symmetric tridiagonal matrices with application
• Certain inequalities involving prolate spheroidal wave functions and associated quantities
• Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes
• Characteristic-eddy decomposition of turbulence in a channel
• A hierarchy of low-dimensional models for the transient and post-transient cylinder wake
• Karhunen–Loeve representation of stochastic ocean waves
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
• The Karhunen–Loéve decomposition of minimal channel flow

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