Variational integrators for forced Lagrangian systems based on the local path fitting technique

作者：

Highlights：

• A new method is proposed to construct variational integrators for forced systems.

• Variational integrators obtained by the new way inherit the benefit of existing ones.

• The new approach significantly improves the precision of resulting integrators.

• A detailed error estimation is attached to the construction of the integrator.

摘要

•A new method is proposed to construct variational integrators for forced systems.•Variational integrators obtained by the new way inherit the benefit of existing ones.•The new approach significantly improves the precision of resulting integrators.•A detailed error estimation is attached to the construction of the integrator.

论文关键词：Variational integrator,Forced Euler–Lagrange equations,Local path fitting,Lagrange interpolation polynomial

论文评审过程：Received 7 February 2021, Revised 10 October 2021, Accepted 12 October 2021, Available online 1 November 2021, Version of Record 1 November 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126739