Discrete Calculus of Variations for Quadratic Lagrangians. Convergence Issues

Details Discrete Calculus of Variations for Quadratic Lagrangians. Convergence Issues Discrete Calculus of Variations for Quadratic Lagrangians. Convergence Issues

2011-06-27

arxiv.org/abs/1106.5350v1

Mathematics

Optimization and Control

6 figures

Scientific paper

We study in this paper the continuous and discrete Euler-Lagrange equations arising from a quadratic lagrangian. Those equations may be thought as numerical schemes and may be solved through a matrix based framework. When the lagrangian is time-independent, we can solve both continuous and discrete Euler-Lagrange equations under convenient oscillatory and non-resonance properties. The convergence of the solutions is also investigated. In the simplest case of the harmonic oscillator, unconditional convergence does not hold, we give results and experiments in this direction.

Affiliated with

Also associated with

No associations

Rating

Discrete Calculus of Variations for Quadratic Lagrangians. Convergence Issues does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Discrete Calculus of Variations for Quadratic Lagrangians. Convergence Issues, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discrete Calculus of Variations for Quadratic Lagrangians. Convergence Issues will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-638260