A Local Refinement Strategy for Constructive Quantization of Scalar SDEs

نویسندگان

  • Thomas Müller-Gronbach
  • Klaus Ritter
چکیده

We present a fully constructive method for quantization of the solution X of a scalar SDE in the path space Lp[0, 1] or C[0, 1]. The construction relies on a refinement strategy, which takes into account the local regularity of X and uses Brownian motion (bridge) quantization as a building block. Our algorithm is easy to implement, its computational cost is close to the size of the quantization, and it achieves strong asymptotic optimality provided this property holds for the Brownian motion (bridge) quantization.

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عنوان ژورنال:
  • Foundations of Computational Mathematics

دوره 13  شماره 

صفحات  -

تاریخ انتشار 2013