Sopasakis, Alexandros Traffic networks via neural networks: description and evolution. (English) Zbl 07617303 Valenzuela, Olga (ed.) et al., Theory and applications of time series analysis. Selected contributions from the sixth international conference, ITISE 2019, Granada, Spain, September 2019. Cham: Springer. Contrib. Stat., 287-301 (2020). MSC: 62M10 PDFBibTeX XMLCite \textit{A. Sopasakis}, in: Theory and applications of time series analysis. Selected contributions from the sixth international conference, ITISE 2019, Granada, Spain, September 2019. Cham: Springer. 287--301 (2020; Zbl 07617303) Full Text: DOI
Majda, Andrew J.; Qi, Di Strategies for reduced-order models for predicting the statistical responses and uncertainty quantification in complex turbulent dynamical systems. (English) Zbl 1393.76041 SIAM Rev. 60, No. 3, 491-549 (2018). MSC: 76F55 60H30 86A32 PDFBibTeX XMLCite \textit{A. J. Majda} and \textit{D. Qi}, SIAM Rev. 60, No. 3, 491--549 (2018; Zbl 1393.76041) Full Text: DOI arXiv
Harmandaris, Vagelis; Kalligiannaki, Evangelia; Katsoulakis, Markos; Plecháč, Petr Path-space variational inference for non-equilibrium coarse-grained systems. (English) Zbl 1349.65030 J. Comput. Phys. 314, 355-383 (2016). MSC: 65C30 60J70 62B10 68T05 PDFBibTeX XMLCite \textit{V. Harmandaris} et al., J. Comput. Phys. 314, 355--383 (2016; Zbl 1349.65030) Full Text: DOI arXiv
Pazzona, Federico G.; Demontis, Pierfranco; Suffritti, Giuseppe B. Improving the acceptance in Monte Carlo simulations: sampling through intermediate states. (English) Zbl 1349.65020 J. Comput. Phys. 295, 556-568 (2015). MSC: 65C05 PDFBibTeX XMLCite \textit{F. G. Pazzona} et al., J. Comput. Phys. 295, 556--568 (2015; Zbl 1349.65020) Full Text: DOI
Cho, H.; Yang, X.; Venturi, D.; Karniadakis, G. E. Algorithms for propagating uncertainty across heterogeneous domains. (English) Zbl 1347.60093 SIAM J. Sci. Comput. 37, No. 6, A3030-A3054 (2015). MSC: 60H35 60H15 65C30 60G60 PDFBibTeX XMLCite \textit{H. Cho} et al., SIAM J. Sci. Comput. 37, No. 6, A3030--A3054 (2015; Zbl 1347.60093) Full Text: DOI Link
Branicki, Michal; Majda, Andrew J. An information-theoretic framework for improving imperfect dynamical predictions via multi-model ensemble forecasts. (English) Zbl 1342.94056 J. Nonlinear Sci. 25, No. 3, 489-538 (2015). MSC: 94A15 62B10 62M20 60G25 60G35 47N30 PDFBibTeX XMLCite \textit{M. Branicki} and \textit{A. J. Majda}, J. Nonlinear Sci. 25, No. 3, 489--538 (2015; Zbl 1342.94056) Full Text: DOI
Torrens, Paul M.; Kevrekidis, Yannis; Ghanem, Roger; Zou, Yu Simple urban simulation atop complicated models: multi-scale equation-free computing of sprawl using geographic automata. (English) Zbl 1335.91054 Entropy 15, No. 7, 2606-2634 (2013). MSC: 91D10 68U20 PDFBibTeX XMLCite \textit{P. M. Torrens} et al., Entropy 15, No. 7, 2606--2634 (2013; Zbl 1335.91054) Full Text: DOI
Wang, Yan Reliable kinetic Monte Carlo simulation based on random set sampling. (English) Zbl 1327.65008 Soft Comput. 17, No. 8, 1439-1451 (2013). MSC: 65C05 35Q62 65G40 80A32 PDFBibTeX XMLCite \textit{Y. Wang}, Soft Comput. 17, No. 8, 1439--1451 (2013; Zbl 1327.65008) Full Text: DOI
Arampatzis, Giorgos; Katsoulakis, Markos A.; Plecháč, Petr; Taufer, Michela; Xu, Lifan Hierarchical fractional-step approximations and parallel kinetic Monte Carlo algorithms. (English) Zbl 1259.82110 J. Comput. Phys. 231, No. 23, 7795-7814 (2012). Reviewer: Dominik Strzałka (Rzeszów) MSC: 82C80 82C20 82C70 65C05 65Y10 47D07 PDFBibTeX XMLCite \textit{G. Arampatzis} et al., J. Comput. Phys. 231, No. 23, 7795--7814 (2012; Zbl 1259.82110) Full Text: DOI arXiv Link
Kalligiannaki, Evangelia; Katsoulakis, Markos A.; Plecháč, Petr; Vlachos, Dionisios G. Multilevel coarse graining and nano-pattern discovery in many particle stochastic systems. (English) Zbl 1247.82009 J. Comput. Phys. 231, No. 6, 2599-2620 (2012). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B20 82B26 82B80 65C40 65C05 PDFBibTeX XMLCite \textit{E. Kalligiannaki} et al., J. Comput. Phys. 231, No. 6, 2599--2620 (2012; Zbl 1247.82009) Full Text: DOI arXiv
Majda, Andrew J.; Gershgorin, Boris Improving model fidelity and sensitivity for complex systems through empirical information theory. (English) Zbl 1256.94026 Proc. Natl. Acad. Sci. USA 108, No. 25, 10044-10049 (2011). MSC: 94A15 62B10 62M30 PDFBibTeX XMLCite \textit{A. J. Majda} and \textit{B. Gershgorin}, Proc. Natl. Acad. Sci. USA 108, No. 25, 10044--10049 (2011; Zbl 1256.94026) Full Text: DOI
Tartakovsky, Alexandre M.; Panchenko, Alexander; Ferris, Kim F. Dimension reduction method for ODE fluid models. (English) Zbl 1368.76052 J. Comput. Phys. 230, No. 23, 8554-8572 (2011). MSC: 76M25 76T10 PDFBibTeX XMLCite \textit{A. M. Tartakovsky} et al., J. Comput. Phys. 230, No. 23, 8554--8572 (2011; Zbl 1368.76052) Full Text: DOI
Katsoulakis, Markos A.; Plecháč, Petr; Rey-Bellet, Luc Numerical and statistical methods for the coarse-graining of many-particle stochastic systems. (English) Zbl 1203.82145 J. Sci. Comput. 37, No. 1, 43-71 (2008). MSC: 82D60 65C30 82B28 82B80 PDFBibTeX XMLCite \textit{M. A. Katsoulakis} et al., J. Sci. Comput. 37, No. 1, 43--71 (2008; Zbl 1203.82145) Full Text: DOI Link
Neelin, J. David; Peters, Ole; Lin, Johnny W.-B.; Hales, Katrina; Holloway, Christopher E. Rethinking convective quasi-equilibrium: Observational constraints for stochastic convective schemes in climate models. (English) Zbl 1153.86316 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1875, 2581-2604 (2008). MSC: 86A10 76E06 PDFBibTeX XMLCite \textit{J. D. Neelin} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1875, 2581--2604 (2008; Zbl 1153.86316) Full Text: DOI
Majda, Andrew J.; Franzke, Christian; Khouider, Boualem An applied mathematics perspective on stochastic modelling for climate. (English) Zbl 1153.86315 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1875, 2429-2455 (2008). MSC: 86A10 PDFBibTeX XMLCite \textit{A. J. Majda} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1875, 2429--2455 (2008; Zbl 1153.86315) Full Text: DOI
Katsoulakis, Markos A.; Plecháč, Petr; Rey-Bellet, Luc; Tsagkarogiannis, Dimitrios K. Mathematical strategies in the coarse-graining of extensive systems: error quantification and adaptivity. (English) Zbl 1260.82049 J. Non-Newton. Fluid Mech. 152, No. 1-3, 101-112 (2008). MSC: 82B80 65C05 65C20 82B20 PDFBibTeX XMLCite \textit{M. A. Katsoulakis} et al., J. Non-Newton. Fluid Mech. 152, No. 1--3, 101--112 (2008; Zbl 1260.82049) Full Text: DOI Link
Katsoulakis, Markos A.; Plecháč, Petr; Rey-Bellet, Luc; Tsagkarogiannis, Dimitrios K. Coarse-graining schemes and a posteriori error estimates for stochastic lattice systems. (English) Zbl 1152.82002 ESAIM, Math. Model. Numer. Anal. 41, No. 3, 627-660 (2007). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 82B20 82B80 82C80 82-08 82D60 PDFBibTeX XMLCite \textit{M. A. Katsoulakis} et al., ESAIM, Math. Model. Numer. Anal. 41, No. 3, 627--660 (2007; Zbl 1152.82002) Full Text: DOI arXiv Numdam EuDML
Horntrop, David J. Mesoscopic simulation of Ostwald ripening. (English) Zbl 1158.82312 J. Comput. Phys. 218, No. 1, 429-441 (2006). MSC: 82C44 65C30 PDFBibTeX XMLCite \textit{D. J. Horntrop}, J. Comput. Phys. 218, No. 1, 429--441 (2006; Zbl 1158.82312) Full Text: DOI
Katsoulakis, Markos A.; Trashorras, José Information loss in coarse-graining of stochastic particle dynamics. (English) Zbl 1127.82043 J. Stat. Phys. 122, No. 1, 115-135 (2006). MSC: 82C80 60K35 94A17 PDFBibTeX XMLCite \textit{M. A. Katsoulakis} and \textit{J. Trashorras}, J. Stat. Phys. 122, No. 1, 115--135 (2006; Zbl 1127.82043) Full Text: DOI
Chatterjee, Abhijit; Vlachos, Dionisios G. Temporal acceleration of spatially distributed kinetic Monte Carlo simulations. (English) Zbl 1076.82533 J. Comput. Phys. 211, No. 2, 596-615 (2006). MSC: 82C80 82B80 PDFBibTeX XMLCite \textit{A. Chatterjee} and \textit{D. G. Vlachos}, J. Comput. Phys. 211, No. 2, 596--615 (2006; Zbl 1076.82533) Full Text: DOI
Katsoulakis, Markos A.; Plecháč, Petr; Tsagkarogiannis, Dimitrios K. Mesoscopic modeling for continuous spin lattice systems: model problems and micromagnetics applications. (English) Zbl 1083.82004 J. Stat. Phys. 119, No. 1-2, 347-389 (2005). Reviewer: Dominique Lepingle (Orléans) MSC: 82B20 82C20 82C80 PDFBibTeX XMLCite \textit{M. A. Katsoulakis} et al., J. Stat. Phys. 119, No. 1--2, 347--389 (2005; Zbl 1083.82004) 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