Variational order for forced Lagrangian systems

Martín de Diego D, Sato Martín de Almagro RT (2018)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2018

Journal

Nonlinearity Institute of Physics: Hybrid Open Access

Abstract

We are able to derive the equations of motion for forced mechanical systems in a purely variational setting, both in the context of Lagrangian or Hamiltonian mechanics, by duplicating the variables of the system as introduced by C. Galley. We show that this construction is useful to design high-order integrators for forced Lagrangian systems and, more importantly, we give a characterization of the order of a method applied to a forced system using the corresponding variational order of the duplicated one.

Authors with CRIS profile

Rodrigo Sato Martin de Almagro

Involved external institutions

Spanish National Research Council / Consejo Superior de Investigaciones Científicas (CSIC) ES Spain (ES)

How to cite

APA:

Martín de Diego, D., & Sato Martín de Almagro, R.T. (2018). Variational order for forced Lagrangian systems. Nonlinearity.

MLA:

Martín de Diego, David, and Rodrigo Takuro Sato Martín de Almagro. "Variational order for forced Lagrangian systems." Nonlinearity (2018).

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