Optimal prediction and the Klein-Gordon equation
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
1999
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| _version_ | 1866912655990587392 |
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| author | Hald, O. H. |
| author_facet | Hald, O. H. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_9910048 |
| institution | arXiv |
| publishDate | 1999 |
| record_format | arxiv |
| spellingShingle | Optimal prediction and the Klein-Gordon equation Hald, O. H. Numerical Analysis 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. |
| title | Optimal prediction and the Klein-Gordon equation |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/math/9910048 |