On the energy theorem for the Lagrange equations in the discrete case

DOI10.1016/0096-3003(85)90023-2zbMath0573.70015OpenAlexW1964879213WikidataQ126816332 ScholiaQ126816332MaRDI QIDQ1062781

Laura Gotusso

Publication date: 1985

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(85)90023-2

zbMATH Keywords

energy integraldiscretizing Lagrange equations

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Lagrange's equations (70H03)

Related Items (8)

Hamiltonian-conserving discrete canonical equations based on variational difference quotients ⋮ Discrete Lagrange's equations and canonical equations based on the principle of least action ⋮ A new conservative/dissipative time integration scheme for nonlinear mechanical systems ⋮ An analysis of the stress formula for energy-momentum methods in nonlinear elastodynamics ⋮ Energy-consistent time integration for nonlinear viscoelasticity ⋮ A thermodynamically consistent numerical method for a phase field model of solidification ⋮ Numerical study of the motion of a string vibrating against an obstacle by physical discretization ⋮ Unified Approach to Hamiltonian Systems, Poisson Systems, Gradient Systems, and Systems with Lyapunov Functions or First Integrals

Cites Work

• Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. I: Motion of a single particle
• Discrete numerical methods in physics and engineering
• DISCRETE HAMILTONIAN MECHANICS
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