Discrete mechanics of arbitrary order

DOI10.1016/0045-7825(83)90019-1zbMath0501.73075OpenAlexW2050132558MaRDI QIDQ1172440

Andrzej Marciniak

Publication date: 1983

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(83)90019-1

zbMATH Keywords

numerical examplesarbitrary high orderdifference dynamical equationsGreenspan's discrete mechanics

Mathematics Subject Classification ID

Related Items (2)

Arbitrary order numerical methods conserving integrals for solving dynamic equations ⋮ Arbitrary order numerical solutions conserving the Jacobi constant in the motion near the equilibrium points

Cites Work

• A new explicit discrete mechanics with applications
• Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. II: Motion of a system of particles
• Numerical treatment of ordinary differential equations by extrapolation methods
• NEW FORMS OF DISCRETE MECHANICS
• An algebraic, energy conserving formulation of classical molecular and Newtonian 𝑛-body interaction
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