Approximation of the solutions of boundary value problems in Lagrangian mechanics

DOI10.1016/0021-8928(95)00060-7zbMath0906.70010OpenAlexW2043698809MaRDI QIDQ1369901

Ivan I. Kosenko

Publication date: 4 November 1997

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

Full work available at URL: https://doi.org/10.1016/0021-8928(95)00060-7

zbMATH Keywords

kinetic energyprojection methodGalerkin's methoditerative processshooting methodtangent spacemean-square approximationgeneralized velocitiesArzela's theoremextremality of Hamilton's principlefunctional path spaceimpact interactions

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Holonomic systems related to the dynamics of a system of particles (70F20) Lagrange's equations (70H03)

Cites Work

• The use of Chebyshev polynomials to construct perturbed-motion trajectories in non-linear mechanics
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