Mechanical integrators derived from a discrete variational principle
type: Item
instance of: scholarly article
title: Mechanical integrators derived from a discrete variational principle
zbMATH Open document ID: 0963.70507
DOI: 10.1016/S0167-2789(97)00051-1
author: Jeffrey M. Wendlandt
author: J. E. Marsden
published in: Physica D
publication date: 2000-01-24T00:00:00Z
Mathematics Subject Classification ID: 70-08
Mathematics Subject Classification ID: 70H25
Mathematics Subject Classification ID: 65L99
Mathematics Subject Classification ID: 70E15
Mathematics Subject Classification ID: 70F20
Mathematics Subject Classification ID: 70H03
zbMATH DE Number: 1392832
zbMATH Keywords: rigid body integration
zbMATH Keywords: discretized Hamilton's principle
zbMATH Keywords: time-stepping algorithms
zbMATH Keywords: discrete version of Noether's theorem
zbMATH Keywords: symplectic-momentum mechanical integrators
zbMATH Keywords: Lagrangian systems with holonomic constraints
zbMATH Keywords: rigid body
zbMATH Keywords: double spherical pendulum
describes a project that uses: Mathematica
MaRDI profile type: Publication
cites work: RATTLE: A ''velocity'' version of the SHAKE algorithm for molecular dynamics calculations
cites work: Long-term dissipativity of time-stepping algorithms for an abstract evolution equation with applications to the incompressible MHD and Navier-Stokes equations
cites work: Q4343685
cites work: On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
cites work: Nonholonomic mechanical systems with symmetry
cites work: Symplectic integration of Hamiltonian systems
cites work: Product formulas and numerical algorithms
cites work: Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
cites work: Time integration and discrete Hamiltonian systems
cites work: Hamiltonian-conserving discrete canonical equations based on variational difference quotients
cites work: Symplectic Partitioned Runge–Kutta Methods for Constrained Hamiltonian Systems
cites work: Discrete mechanics - a general treatment
cites work: Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. I: Motion of a single particle
cites work: Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. II: Motion of a system of particles
cites work: Q4002473
cites work: A symplectic integrator for Riemannian manifolds
cites work: Symplectic numerical integrators in constrained Hamiltonian systems
cites work: The use of Hamilton's principle to derive time-advance algorithms for ordinary differential equations
cites work: Conserving algorithms for the dynamics of Hamiltonian systems on Lie groups
cites work: Q4026085
cites work: Q3313340
cites work: Lectures on Mechanics
cites work: Integration algorithms and classical mechanics. Based on the conference held at the Fields Institute, Waterloo, Canada, October 1993
cites work: Q4318503
cites work: Lagrangian reduction and the double spherical pendulum
cites work: Q4343694
cites work: Equivariant constrained symplectic integration
cites work: Symplectic maps, variational principles, and transport
cites work: Discrete versions of some classical integrable systems and factorization of matrix polynomials
cites work: Q4857368
cites work: Momentum conserving symplectic integrators
cites work: Symplectic Integration of Constrained Hamiltonian Systems by Composition Methods
cites work: Q4343695
cites work: Q4016507
cites work: Q4315882
cites work: Mechanics. From Newton's laws to the deterministic chaos.
cites work: Time-discretization of Hamiltonian dynamical systems
cites work: On the stability of symplectic and energy-momentum algorithms for nonlinear Hamiltonian systems with symmetry
cites work: The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
cites work: Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum
cites work: Q3810564
cites work: Integrable Lagrangian correspondences and the factorization of matrix polynomials
cites work: Q4023140
full work available at URL: s0167-2789(97)00051-1
OpenAlex ID: W2000008197
description: scientific article; zbMATH DE number 1392832