%0 Journal Article %T Localization errors in solving stochastic partial differential equations in the whole space %A M¨¢t¨¦ Gerencs¨¦r %A Istv¨¢n Gy£¿ngy %J Mathematics %D 2015 %I arXiv %X 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 discretisation, and thus is fully implementable. %U http://arxiv.org/abs/1508.05535v1