Energy-preserving numerical schemes of high accuracy for one-dimensional Hamiltonian systems

Details Energy-preserving numerical schemes of high accuracy for one-dimensional Hamiltonian systems Energy-preserving numerical schemes of high accuracy for one-dimensional Hamiltonian systems

2010-09-14

arxiv.org/abs/1009.2738v1

Computer Science

Numerical Analysis

15 pages, 6 figures. Presented at the conference "BIT 50 - Trends in Numerical Computing" (Lund, 17-20 June 2010)

Scientific paper

We present a class of non-standard numerical schemes which are modifications of the discrete gradient method. They preserve the energy integral exactly (up to the round-off error). The considered class contains locally exact discrete gradient schemes and integrators of arbitrary high order. In numerical experiments we compare our integrators with some other numerical schemes, including the standard discrete gradient method, the leap-frog scheme and a symplectic scheme of 4th order. We study the error accumulation for very long time and the conservation of the energy integral.

Affiliated with

Also associated with

No associations

Rating

Energy-preserving numerical schemes of high accuracy for one-dimensional Hamiltonian systems 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 Energy-preserving numerical schemes of high accuracy for one-dimensional Hamiltonian systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Energy-preserving numerical schemes of high accuracy for one-dimensional Hamiltonian systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-397699