球对称Vlasov-Einstein系统的粒子网格方法收敛性
Convergence of a particle-in-cell scheme for the spherically symmetric Vlasov-Einstein system
AI总结：
针对球对称Vlasov-Einstein系统，提出基于粒子网格的离散化方案，证明近似解收敛于精确解并提供误差界。
摘要：
我们考虑以无碰撞气体为物质模型的球对称、渐近平直时空。由此产生的Vlasov-Einstein系统的许多性质尚无法通过纯解析方法获得。我们提出了该系统的离散化版本，适用于数值实现，并基于粒子网格技术。我们证明了所得近似解收敛于精确解，并给出了误差界。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
