Resolving the multitude of microscale interactions accurately models stochastic partial differential equations
Article
Article Title | Resolving the multitude of microscale interactions accurately models stochastic partial differential equations |
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ERA Journal ID | 32385 |
Article Category | Article |
Authors | |
Author | Roberts, A. J. |
Journal Title | LMS Journal of Computation and Mathematics |
Journal Citation | 9, pp. 193-221 |
Number of Pages | 29 |
Year | 2006 |
Place of Publication | London, United Kingdom |
ISSN | 1461-1570 |
Digital Object Identifier (DOI) | https://doi.org/10.1112/S146115700000125X |
Web Address (URL) | http://www.lms.ac.uk/jcm/9/lms2005-032/sub/lms2005-032.pdf |
Abstract | Constructing numerical models of noisy partial differential equations is very delicate. Our long term aim is to use modern dynamical systems theory to derive discretisations of dissipative stochastic partial differential equations. |
Keywords | differential equations; numerical modelling; manifold theory |
ANZSRC Field of Research 2020 | 490409. Ordinary differential equations, difference equations and dynamical systems |
490302. Numerical analysis | |
490510. Stochastic analysis and modelling | |
Byline Affiliations | Department of Mathematics and Computing |
https://research.usq.edu.au/item/9xwq5/resolving-the-multitude-of-microscale-interactions-accurately-models-stochastic-partial-differential-equations
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