Optimal prediction and the Klein–Gordon equation

  1. Ole H. Hald
  1. Department of Mathematics, University of California, Berkeley, CA 94720-3840

  1. Communicated by Alexandre J. Chorin, University of California, Berkeley, CA (received for review January 11, 1999)

Abstract

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.

Footnotes

« Previous | Next Article »Table of Contents

This Article

  1. PNAS April 27, 1999 vol. 96 no. 9 4774-4779
  1. » Abstract
  2. Full Text (PDF)

Classifications

About Our New Site Design >>
Link: Advanced Search

This Week's Issue

  1. August 19, 2008, 105 (33)
  1. Current Issue
  1. Alert me to new issues of PNAS

Most