Localization errors in solving stochastic partial differential equations in the whole space Gerencser, Mate Gyöngy, István Cauchy problems with SPDEs on the whole space are localized to Cauchy problems on a ball of radius R. This localization reduces various kinds of spatial approximation schemes to finite dimensional problems. The error is shown to be exponentially small. As an application, a numerical scheme is presented which combines the localization and the space and time discretization, and thus is fully implementable. American Mathematical Society 2017 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/642 Gerencser M, Gyöngy I. Localization errors in solving stochastic partial differential equations in the whole space. <i>Mathematics of Computation</i>. 2017;86(307):2373-2397. doi:<a href="https://doi.org/10.1090/mcom/3201">10.1090/mcom/3201</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1090/mcom/3201 info:eu-repo/semantics/altIdentifier/issn/0025-5718 info:eu-repo/semantics/altIdentifier/wos/000400929100013 info:eu-repo/semantics/altIdentifier/arxiv/1508.05535 info:eu-repo/semantics/openAccess