article published yes Mate Gerencser author 44ECEDF2-F248-11E8-B48F-1D18A9856A87 István Gyöngy author JaMa department 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 Society2017 eng 0025-5718 1508.05535 00040092910001310.1090/mcom/3201 863072373 - 2397 Gerencser, Mate, and István Gyöngy. “Localization Errors in Solving Stochastic Partial Differential Equations in the Whole Space.” <i>Mathematics of Computation</i>, vol. 86, no. 307, American Mathematical Society, 2017, pp. 2373–97, doi:<a href="https://doi.org/10.1090/mcom/3201">10.1090/mcom/3201</a>. 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> Gerencser, Mate, and István Gyöngy. “Localization Errors in Solving Stochastic Partial Differential Equations in the Whole Space.” <i>Mathematics of Computation</i>. American Mathematical Society, 2017. <a href="https://doi.org/10.1090/mcom/3201">https://doi.org/10.1090/mcom/3201</a>. Gerencser M, Gyöngy I. 2017. Localization errors in solving stochastic partial differential equations in the whole space. Mathematics of Computation. 86(307), 2373–2397. M. Gerencser and I. Gyöngy, “Localization errors in solving stochastic partial differential equations in the whole space,” <i>Mathematics of Computation</i>, vol. 86, no. 307. American Mathematical Society, pp. 2373–2397, 2017. Gerencser, M., &#38; Gyöngy, I. (2017). Localization errors in solving stochastic partial differential equations in the whole space. <i>Mathematics of Computation</i>. American Mathematical Society. <a href="https://doi.org/10.1090/mcom/3201">https://doi.org/10.1090/mcom/3201</a> M. Gerencser, I. Gyöngy, Mathematics of Computation 86 (2017) 2373–2397. 6422018-12-11T11:47:40Z2025-09-11T07:20:20Z