Fast conservative and entropic numerical methods for the Boson Boltzmann equation

Details Fast conservative and entropic numerical methods for the Boson Boltzmann equation Fast conservative and entropic numerical methods for the Boson Boltzmann equation

2010-09-14

arxiv.org/abs/1009.2748v1

Numerische Mathematik, 99 (2005), 509-532

Mathematics

Numerical Analysis

Scientific paper

In this paper we derive accurate numerical methods for the quantum Boltzmann equation for a gas of interacting bosons. The schemes preserve the main physical features of the continuous problem, namely conservation of mass and energy, the entropy inequality and generalized Bose-Einstein distributions as steady states. These properties are essential in order to develop schemes that are able to capture the energy concentration behavior of bosons. In addition we develop fast algorithms for the numerical evaluation of the resulting quadrature formulas which allow the final schemes to be computed only in O(N^2 log N) operations instead of O(N^3).

Affiliated with

Also associated with

No associations

Rating

Fast conservative and entropic numerical methods for the Boson Boltzmann equation 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 Fast conservative and entropic numerical methods for the Boson Boltzmann equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fast conservative and entropic numerical methods for the Boson Boltzmann equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-397726