Lagrangian and Hamiltonian Taylor variational integrators
Sign Up to like & getrecommendations! Published in 2017 at "BIT Numerical Mathematics"
DOI: 10.1007/s10543-017-0690-9
Abstract: In this paper, we present a variational integrator that is based on an approximation of the Euler–Lagrange boundary-value problem via Taylor’s method. This can be viewed as a special case of the shooting-based variational integrator.… read more here.
Keywords: lagrangian hamiltonian; variational integrators; variational integrator; method ... See more keywords
The Emergence of the Relativistic Lagrangian from the Non-Relativistic Multiplicative Lagrangian
Sign Up to like & getrecommendations! Published in 2025 at "Foundations of Physics"
DOI: 10.1007/s10701-025-00874-x
Abstract: The multiplicative Lagrangian and Hamiltonian introduce an additional parameter that, despite its variation, results in identical equations of motion as those derived from the standard Lagrangian. This intriguing property becomes even more striking in the… read more here.
Keywords: relativistic lagrangian; multiplicative lagrangian; lagrangian non; lagrangian hamiltonian ... See more keywords