An efficient Lagrangian interpolation scheme for computing flow maps and line integrals using discrete velocity data
type: Item
instance of: scholarly article
title: An efficient Lagrangian interpolation scheme for computing flow maps and line integrals using discrete velocity data
zbMATH Open document ID: 1447.37069
author: Guoqiao You
author: Renkun Shi
author: Yuhua Xu
published in: Journal of Scientific Computing
publication date: 2018-08-29T00:00:00Z
review text: When only discrete velocity data at mesh points is available, the authors suggest a new Lagrangian approach for constructing flow maps of dynamical systems given by ODEs. Their method is based on an efficient interpolation scheme. In addition, an error analysis and a discussion of the computational complexity is given. Various nicely illustrated applications (double gyre flow, coherent ergodic partition as application to a real dataset, geometrical optics) conclude the paper.
Mathematics Subject Classification ID: 37M15
Mathematics Subject Classification ID: 37M05
Mathematics Subject Classification ID: 65P10
zbMATH DE Number: 6928665
zbMATH Keywords: flow maps
zbMATH Keywords: flow visualization
zbMATH Keywords: coherent structures
reviewed by: Christian Pötzsche
MaRDI profile type: Publication
full work available at URL: s10915-017-0620-7
OpenAlex ID: W2770744005
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DOI: 10.1007/S10915-017-0620-7
description: scientific article; zbMATH DE number 6928665