--- _id: '642' abstract: - lang: eng text: 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. author: - first_name: Mate full_name: Gerencser, Mate id: 44ECEDF2-F248-11E8-B48F-1D18A9856A87 last_name: Gerencser - first_name: István full_name: Gyöngy, István last_name: Gyöngy citation: ama: Gerencser M, Gyöngy I. Localization errors in solving stochastic partial differential equations in the whole space. Mathematics of Computation. 2017;86(307):2373-2397. doi:10.1090/mcom/3201 apa: Gerencser, M., & Gyöngy, I. (2017). Localization errors in solving stochastic partial differential equations in the whole space. Mathematics of Computation. American Mathematical Society. https://doi.org/10.1090/mcom/3201 chicago: Gerencser, Mate, and István Gyöngy. “Localization Errors in Solving Stochastic Partial Differential Equations in the Whole Space.” Mathematics of Computation. American Mathematical Society, 2017. https://doi.org/10.1090/mcom/3201. ieee: M. Gerencser and I. Gyöngy, “Localization errors in solving stochastic partial differential equations in the whole space,” Mathematics of Computation, vol. 86, no. 307. American Mathematical Society, pp. 2373–2397, 2017. ista: Gerencser M, Gyöngy I. 2017. Localization errors in solving stochastic partial differential equations in the whole space. Mathematics of Computation. 86(307), 2373–2397. mla: Gerencser, Mate, and István Gyöngy. “Localization Errors in Solving Stochastic Partial Differential Equations in the Whole Space.” Mathematics of Computation, vol. 86, no. 307, American Mathematical Society, 2017, pp. 2373–97, doi:10.1090/mcom/3201. short: M. Gerencser, I. Gyöngy, Mathematics of Computation 86 (2017) 2373–2397. date_created: 2018-12-11T11:47:40Z date_published: 2017-01-01T00:00:00Z date_updated: 2021-01-12T08:07:26Z day: '01' department: - _id: JaMa doi: 10.1090/mcom/3201 intvolume: ' 86' issue: '307' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1508.05535 month: '01' oa: 1 oa_version: Submitted Version page: 2373 - 2397 publication: Mathematics of Computation publication_identifier: issn: - '00255718' publication_status: published publisher: American Mathematical Society publist_id: '7144' quality_controlled: '1' scopus_import: 1 status: public title: Localization errors in solving stochastic partial differential equations in the whole space type: journal_article user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87 volume: 86 year: '2017' ...