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arXiv:math/0209336 [math.NA]AbstractReferencesReviewsResources

Convergence of a particle-in-cell scheme for the spherically symmetric Vlasov-Einstein system

Gerhard Rein, Thomas Rodewis

Published 2002-09-25Version 1

We consider spherically symmetric, asymptotically flat space-times with a collisionless gas as matter model. Many properties of the resulting Vlasov-Einstein system are not yet accessible by purely analytical means. We present a discretized version of this system which is suitable for numerical implementation and is based on the particle-in-cell technique. Convergence of the resulting approximate solutions to the exact solution is proven and error bounds are provided.

Comments: 38 pages
Journal: Indiana Univ. Math. Journal, Vol. 52, No. 4, 821-861 (2003)
Categories: math.NA, gr-qc, math-ph, math.MP
Subjects: 65M12
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