Discretisation of regularity structures

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Title: Discretisation of regularity structures
Authors: Erhard, D
Hairer, M
Item Type: Working Paper
Abstract: We introduce a general framework allowing to apply the theory of regularity structures to discretisations of stochastic PDEs. The approach pursued in this article is that we do not focus on any one specific discretisation procedure. Instead, we assume that we are given a scale ε>0 and a "black box" describing the behaviour of our discretised objects at scales below ε.
Issue Date: 8-May-2017
URI: http://hdl.handle.net/10044/1/64262
Publisher: arXiv
Copyright Statement: © 2018 The Author(s).
Keywords: math.PR
math.PR
math.AP
math.PR
math.PR
math.AP
Publication Status: Published
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



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