Prediction of large-scale dynamics using unresolved computations

Details Prediction of large-scale dynamics using unresolved computations Prediction of large-scale dynamics using unresolved computations

1999-09-17

arxiv.org/abs/math/9909102v1

Mathematics

Numerical Analysis

24 pages

Scientific paper

We present a theoretical framework and numerical methods for predicting the large-scale properties of solutions of partial differential equations that are too complex to be properly resolved. We assume that prior statistical information about the distribution of the solutions is available, as is often the case in practice. The quantities we can compute condition the prior information and allow us to calculate mean properties of solutions in the future. We derive approximate ways for computing the evolution of the probabilities conditioned by what we can compute, and obtain ordinary differential equations for the expected values of a set of large-scale variables. Our methods are demonstrated on two simple but instructive examples, where the prior information consists of invariant canonical distributions

Affiliated with

Also associated with

No associations

Rating

Prediction of large-scale dynamics using unresolved computations 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 Prediction of large-scale dynamics using unresolved computations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Prediction of large-scale dynamics using unresolved computations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-349886