Martin-Linares, Cristina P.; Psarellis, Yorgos M.; Karapetsas, George; Koronaki, Eleni D.; Kevrekidis, Ioannis G. Physics-agnostic and physics-infused machine learning for thin films flows: modelling, and predictions from small data. (English) Zbl 07774980 J. Fluid Mech. 975, Paper No. A41, 22 p. (2023). MSC: 76M99 76A20 68T05 PDFBibTeX XMLCite \textit{C. P. Martin-Linares} et al., J. Fluid Mech. 975, Paper No. A41, 22 p. (2023; Zbl 07774980) Full Text: DOI arXiv OA License
Laing, Carlo R.; Kevrekidis, Ioannis G. Equation-free analysis of spike-timing-dependent plasticity. (English) Zbl 1345.92041 Biol. Cybern. 109, No. 6, 701-714 (2015). MSC: 92C20 92C55 PDFBibTeX XMLCite \textit{C. R. Laing} and \textit{I. G. Kevrekidis}, Biol. Cybern. 109, No. 6, 701--714 (2015; Zbl 1345.92041) 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
Laing, Carlo R.; Zou, Yu; Smith, Ben; Kevrekidis, Ioannis G. Managing heterogeneity in the study of neural oscillator dynamics. (English) Zbl 1291.92039 J. Math. Neurosci. 2, Paper No. 5, 22 p. (2012). MSC: 92C20 34C60 34C15 37N25 PDFBibTeX XMLCite \textit{C. R. Laing} et al., J. Math. Neurosci. 2, Paper No. 5, 22 p. (2012; Zbl 1291.92039) Full Text: DOI
Samaey, G.; Roberts, A. J.; Kevrekidis, I. G. Equation-free computation: An overview of patch dynamics. (English) Zbl 1218.65012 Fish, Jacob (ed.), Multiscale methods. Bridging the scales in science and engineering. Oxford: Oxford University Press (ISBN 978-0-19-923385-4/hbk). 216-246 (2010). MSC: 65C30 60H15 60H35 65M20 65M06 35R60 PDFBibTeX XMLCite \textit{G. Samaey} et al., in: Multiscale methods. Bridging the scales in science and engineering. Oxford: Oxford University Press. 216--246 (2010; Zbl 1218.65012) Full Text: DOI
Vandekerckhove, Christophe; Kevrekidis, Ioannis; Roose, Dirk An efficient Newton-Krylov implementation of the constrained runs scheme for initializing on a slow manifold. (English) Zbl 1203.65154 J. Sci. Comput. 39, No. 2, 167-188 (2009). MSC: 65M06 PDFBibTeX XMLCite \textit{C. Vandekerckhove} et al., J. Sci. Comput. 39, No. 2, 167--188 (2009; Zbl 1203.65154) Full Text: DOI
Samaey, Giovanni; Vanroose, Wim; Roose, Dirk; Kevrekidis, Ioannis G. Newton-Krylov solvers for the equation-free computation of coarse traveling waves. (English) Zbl 1194.76234 Comput. Methods Appl. Mech. Eng. 197, No. 43-44, 3480-3491 (2008). MSC: 76M28 76V05 76R50 65F10 PDFBibTeX XMLCite \textit{G. Samaey} et al., Comput. Methods Appl. Mech. Eng. 197, No. 43--44, 3480--3491 (2008; Zbl 1194.76234) Full Text: DOI
Russo, Lucia; Siettos, Constantinos I.; Kevrekidis, Ioannis G. Reduced computations for nematic-liquid crystals: a timestepper approach for systems with continuous symmetries. (English) Zbl 1120.76008 J. Non-Newton. Fluid Mech. 146, No. 1-3, 51-58 (2007). MSC: 76A15 76M25 PDFBibTeX XMLCite \textit{L. Russo} et al., J. Non-Newton. Fluid Mech. 146, No. 1--3, 51--58 (2007; Zbl 1120.76008) Full Text: DOI
Cisternas, Jaime; Gear, C. William; Levin, Simon; Kevrekidis, Ioannis G. Equation-free modelling of evolving diseases: coarse-grained computations with individual-based models. (English) Zbl 1063.92046 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2050, 2761-2779 (2004). MSC: 92D30 65C20 PDFBibTeX XMLCite \textit{J. Cisternas} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2050, 2761--2779 (2004; Zbl 1063.92046) Full Text: DOI arXiv
Li, Ju; Kevrekidis, Panayotis G.; Gear, C. William; Kevrekidis, Ioannis G. Deciding the nature of the coarse equation through microscopic simulations: The baby-bathwater scheme. (English) Zbl 1031.65019 Multiscale Model. Simul. 1, No. 3, 391-407 (2003). MSC: 65C35 82C21 35Q53 35R30 65M32 37K05 PDFBibTeX XMLCite \textit{J. Li} et al., Multiscale Model. Simul. 1, No. 3, 391--407 (2003; Zbl 1031.65019) Full Text: DOI