Optimal prediction and the Klein-Gordon equation

Details Optimal prediction and the Klein-Gordon equation Optimal prediction and the Klein-Gordon equation

1999-10-08

arxiv.org/abs/math/9910048v1

Mathematics

Numerical Analysis

18 pages

Scientific paper

The method of optimal prediction is applied to calculate the future means of
solutions to the Klein-Gordon equation. It is shown that in an appropriate
probability space, the difference between the average of all solutions that
satisfy certain constraints at time t=0, and the average computed by an
approximate method, is small with high probability.

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