Marcio Gameiro
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Quantitative three-dimensional microstructure of a solid oxide fuel cell cathode
JR Wilson, AT Duong, M Gameiro, HY Chen, K Thornton, DR Mumm, ...
Electrochemistry Communications 11 (5), 1052-1056, 2009
A topological measurement of protein compressibility
M Gameiro, Y Hiraoka, S Izumi, M Kramar, K Mischaikow, V Nanda
Japan Journal of Industrial and Applied Mathematics 32 (1), 1-17, 2015
Three-dimensional analysis of solid oxide fuel cell Ni-YSZ anode interconnectivity
JR Wilson, M Gameiro, K Mischaikow, W Kalies, PW Voorhees, ...
Microscopy and Microanalysis 15 (1), 71, 2009
Evolution of pattern complexity in the Cahn–Hilliard theory of phase separation
M Gameiro, K Mischaikow, T Wanner
Acta Materialia 53 (3), 693-704, 2005
Analytic estimates and rigorous continuation for equilibria of higher-dimensional PDEs
M Gameiro, JP Lessard
Journal of Differential Equations 249 (9), 2237-2268, 2010
Topological characterization of spatial-temporal chaos
M Gameiro, K Mischaikow, W Kalies
Physical Review E 70 (3), 035203, 2004
Combinatorial-topological framework for the analysis of global dynamics
J Bush, M Gameiro, S Harker, H Kokubu, K Mischaikow, I Obayashi, ...
Chaos: An Interdisciplinary Journal of Nonlinear Science 22 (4), 047508, 2012
Homology and symmetry breaking in Rayleigh-Bénard convection: Experiments and simulations
K Krishan, H Kurtuldu, MF Schatz, M Gameiro, K Mischaikow, S Madruga
Physics of Fluids 19 (11), 117105, 2007
A Posteriori Verification of Invariant Objects of Evolution Equations: Periodic Orbits in the Kuramoto--Sivashinsky PDE
M Gameiro, JP Lessard
SIAM Journal on Applied Dynamical Systems 16 (1), 687-728, 2017
Rigorous computation of smooth branches of equilibria for the three dimensional Cahn–Hilliard equation
M Gameiro, JP Lessard
Numerische Mathematik 117 (4), 753-778, 2011
Validated continuation over large parameter ranges for equilibria of PDEs
M Gameiro, JP Lessard, K Mischaikow
Mathematics and computers in simulation 79 (4), 1368-1382, 2008
A framework for the numerical computation and a posteriori verification of invariant objects of evolution equations
JL Figueras, M Gameiro, JP Lessard, R de la Llave
SIAM Journal on Applied Dynamical Systems 16 (2), 1070-1088, 2017
Applications of robust synchronization to communication systems
MF Gameiro, HM Rodrigues
Applicable Analysis 79 (1-2), 21-45, 2001
Computation of smooth manifolds via rigorous multi-parameter continuation in infinite dimensions
M Gameiro, JP Lessard, A Pugliese
Foundations of Computational Mathematics 16 (2), 531-575, 2016
Rigorous numerics for ill-posed PDEs: periodic orbits in the Boussinesq equation
R Castelli, M Gameiro, JP Lessard
Archive for Rational Mechanics and Analysis 228 (1), 129-157, 2018
Efficient rigorous numerics for high-dimensional PDEs via one-dimensional estimates
M Gameiro, JP Lessard
SIAM J. Num. Anal. 51 (4), 2063-2087, 2013
Continuation of point clouds via persistence diagrams
M Gameiro, Y Hiraoka, I Obayashi
Physica D: Nonlinear Phenomena 334, 118-132, 2016
Topological horseshoes of traveling waves for a fast–slow predator–prey system
M Gameiro, T Gedeon, W Kalies, H Kokubu, K Mischaikow, H Oka
Journal of Dynamics and Differential Equations 19 (3), 623-654, 2007
Chomp: Computational homology project
K Mischaikow, H Kokubu, M Mrozek, P Pilarczyk, T Gedeon, JP Lessard, ...
Software available at http://chomp. rutgers. edu, 2014
Interaction network analysis in shear thickening suspensions
M Gameiro, A Singh, L Kondic, K Mischaikow, JF Morris
Physical Review Fluids 5 (3), 034307, 2020
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