An analysis of 3D particle path integration algorithms
type: Item
instance of: scholarly article
title: An analysis of 3D particle path integration algorithms
zbMATH Open document ID: 0840.65081
published in: Journal of Computational Physics
publication date: 1996-06-30T00:00:00Z
review text: The Cauchy problem for a system of three differential equations \(x' = u(x,t)\) is studied with applications to steady and unsteady velocity fields. The function \(u\) is considered to be given at some set of discrete times only. An analysis (the accuracy, the stability, the memory requirements, the computational efficiency) of multistep, multistage and some hybrid schemes is given.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 851762
zbMATH Keywords: 3D particle path integration algorithms
zbMATH Keywords: multistep methods
zbMATH Keywords: multistage methods
zbMATH Keywords: Cauchy problem
zbMATH Keywords: system
zbMATH Keywords: velocity fields
zbMATH Keywords: stability
author: David L. Darmofal
author: Robert Haimes
reviewed by: Miroslav Bartušek
MaRDI profile type: Publication
OpenAlex ID: W2067573540
DOI: 10.1006/JCPH.1996.0015
description: scientific article; zbMATH DE number 851762