An error estimate for an energy conserving spectral scheme approximating the dynamic elastica with free ends

DOI10.1016/j.apnum.2017.05.001OpenAlexW2613081782MaRDI QIDQ2012614

Kazuho Ito

Publication date: 1 August 2017

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.05.001

zbMATH Keywords

spectral methodEuler elasticaenergy-conserving scheme

Mathematics Subject Classification ID

Numerical analysis (65-XX)

Related Items

Convergence of a spectral Galerkin scheme for the dynamic elastica with periodical or hinged boundary

Cites Work

• An energy conserving spectral scheme for the periodic dynamic elastica
• Large oscillations of beams and columns including self-weight
• Stabilization of the dynamic elastica only by damping torque
• On the interaction of solitary waves of flexure in elastic rods
• An impetus-striction simulation of the dynamics of an elastica
• Spectral Methods
• Nonlinear dynamical theory of the elastica
• Uniform Stabilization of the Dynamic Elastica by Boundary Feedback
• Convergence of a Second-Order Scheme for the Nonlinear Dynamical Equations of Elastic Rods
• Spectral Methods