Elastic curves on the sphere
type: Item
instance of: scholarly article
title: Elastic curves on the sphere
zbMATH Open document ID: 0830.65083
DOI: 10.1007/BF02519034
published in: Advances in Computational Mathematics
publication date: 1995-08-13T00:00:00Z
review text: When elastic curves on the sphere are treated by standard Runge-Kutta methods, some invariants are no more invariants. The authors modify the equations and apply an appropriate integration method. A classification of the fundamental forms of the curves is presented which refers to Jacobi's elliptic functions.
reviewed by: D. Braess
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 37C80
Mathematics Subject Classification ID: 33E05
zbMATH DE Number: 784483
zbMATH Keywords: elastic curves
zbMATH Keywords: Runge-Kutta methods
zbMATH Keywords: invariants
zbMATH Keywords: integration method
zbMATH Keywords: Jacobi's elliptic functions
author: Guido Brunnett
author: Peter E. Crouch
MaRDI profile type: Publication
cites work: Q4203268
cites work: Q4091004
cites work: Numerical integration of ordinary differential equations on manifolds
cites work: Spherical splines
cites work: Q4203269
cites work: Cubic Splines on Curved Spaces
full work available at URL: https://doi.org/10.1007/bf02519034
OpenAlex ID: W1986281772
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description: scientific article; zbMATH DE number 784483