Katsoulakis, M. A.; Majda, A. J.; Sopasakis, A. Hybrid deterministic stochastic systems with microscopic look-ahead dynamics. (English) Zbl 1197.35336 Commun. Math. Sci. 8, No. 2, 409-437 (2010). MSC: 35R60 60H15 65C05 82C27 93C20 PDFBibTeX XMLCite \textit{M. A. Katsoulakis} et al., Commun. Math. Sci. 8, No. 2, 409--437 (2010; Zbl 1197.35336) Full Text: DOI Euclid
Katsoulakis, M. A.; Majda, A. J.; Sopasakis, A. Prototype hybrid couplings of macroscopic deterministic models and microscopic stochastic lattice dynamics. (English) Zbl 1130.34032 Chen, Gui-Qiang (ed.) et al., Stochastic analysis and partial differential equations. Emphasis year 2004–2005 on stochastic analysis and partial differential equations, Evanston, IL, USA. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4059-7/pbk). Contemporary Mathematics 429, 143-187 (2007). Reviewer: Andrew Dale (Durban) MSC: 34E13 34F05 65C05 82C27 82C80 PDFBibTeX XMLCite \textit{M. A. Katsoulakis} et al., Contemp. Math. 429, 143--187 (2007; Zbl 1130.34032)
Katsoulakis, M. A.; Majda, A. J.; Sopasakis, A. Intermittency, metastability and coarse graining for coupled deterministic-stochastic lattice systems. (English) Zbl 1133.82010 Nonlinearity 19, No. 5, 1021-1047 (2006). MSC: 82C26 82C20 34C15 34C55 37L60 PDFBibTeX XMLCite \textit{M. A. Katsoulakis} et al., Nonlinearity 19, No. 5, 1021--1047 (2006; Zbl 1133.82010) Full Text: DOI
Katsoulakis, M. A.; Majda, A. J.; Sopasakis, A. Multiscale couplings in prototype hybrid deterministic/stochastic systems. II: stochastic closures. (English) Zbl 1101.34042 Commun. Math. Sci. 3, No. 3, 453-478 (2005). Reviewer: Henri Schurz (Carbondale) MSC: 34F05 93E99 34E13 PDFBibTeX XMLCite \textit{M. A. Katsoulakis} et al., Commun. Math. Sci. 3, No. 3, 453--478 (2005; Zbl 1101.34042) Full Text: DOI
Katsoulakis, M. A.; Majda, A. J.; Sopasakis, A. Multiscale couplings in prototype hybrid deterministic/stochastic systems. I: Deterministic closures. (English) Zbl 1103.93013 Commun. Math. Sci. 2, No. 2, 255-294 (2004). MSC: 93A30 93C65 60K35 93E03 PDFBibTeX XMLCite \textit{M. A. Katsoulakis} et al., Commun. Math. Sci. 2, No. 2, 255--294 (2004; Zbl 1103.93013) Full Text: DOI
Khouider, Boualem; Majda, Andrew J.; Katsoulakis, Markos A. Coarse-grained stochastic models for tropical convection and climate. (English) Zbl 1063.86002 Proc. Natl. Acad. Sci. USA 100, No. 21, 11941-11946 (2003). MSC: 86A10 PDFBibTeX XMLCite \textit{B. Khouider} et al., Proc. Natl. Acad. Sci. USA 100, No. 21, 11941--11946 (2003; Zbl 1063.86002) Full Text: DOI Link
Katsoulakis, Markos A.; Majda, Andrew J.; Vlachos, Dionisios G. Coarse-grained stochastic processes for microscopic lattice systems. (English) Zbl 1063.82033 Proc. Natl. Acad. Sci. USA 100, No. 3, 782-787 (2003). MSC: 82C80 60K35 65C05 PDFBibTeX XMLCite \textit{M. A. Katsoulakis} et al., Proc. Natl. Acad. Sci. USA 100, No. 3, 782--787 (2003; Zbl 1063.82033) Full Text: DOI Link
Katsoulakis, Markos A.; Majda, Andrew J.; Vlachos, Dionisios G. Coarse-grained stochastic processes and Monte Carlo simulations in lattice systems. (English) Zbl 1034.82053 J. Comput. Phys. 186, No. 1, 250-278 (2003). MSC: 82C80 65C05 65C35 60K35 PDFBibTeX XMLCite \textit{M. A. Katsoulakis} et al., J. Comput. Phys. 186, No. 1, 250--278 (2003; Zbl 1034.82053) Full Text: DOI