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William D Kalies
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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), 71-77, 2009
1342009
A database schema for the analysis of global dynamics of multiparameter systems
Z Arai, W Kalies, H Kokubu, K Mischaikow, H Oka, P Pilarczyk
SIAM Journal on Applied Dynamical Systems 8 (3), 757-789, 2009
1332009
An algorithmic approach to chain recurrence
WD Kalies, K Mischaikow, RCAM Vandervorst
Foundations of Computational Mathematics 5, 409-449, 2005
1212005
Homotopy classes for stable connections between Hamiltonian saddle-focus equilibria
WD Kalies, J Kwapisz, R VanderVorst
Communications in Mathematical Physics 193, 337-371, 1998
1101998
Multitransition homoclinic and heteroclinic solutions of the extended Fisher-Kolmogorov equation
WD Kalies, R VanderVorst
journal of differential equations 131 (2), 209-228, 1996
881996
A computational approach to Conley’s decomposition theorem
H Ban, WD Kalies
682006
Topological characterization of spatial-temporal chaos
M Gameiro, K Mischaikow, W Kalies
Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 70 (3 …, 2004
682004
Lattice structures for attractors I
WD Kalies, K Mischaikow, RCAM Vandervorst
arXiv preprint arXiv:1307.1737, 2013
472013
Analysis of blood vessel topology by cubical homology
M Niethammer, AN Stein, WD Kalies, P Pilarczyk, K Mischaikow, ...
Proceedings. International Conference on Image Processing 2, II-II, 2002
462002
Homotopy Classes for Stable Periodic and Chaotic¶ Patterns in Fourth-Order Hamiltonian Systems
WD Kalies, J Kwapisz, JB VandenBerg, R VanderVorst
Communications in Mathematical Physics 214, 573-592, 2000
462000
Rigorous computation of the global dynamics of integrodifference equations with smooth nonlinearities
S Day, WD Kalies
SIAM Journal on Numerical Analysis 51 (6), 2957-2983, 2013
432013
Lattice structures for attractors II
WD Kalies, K Mischaikow, RCAM Vandervorst
Foundations of Computational Mathematics 16 (5), 1151-1191, 2016
392016
Polygonal approximation of flows
E Boczko, WD Kalies, K Mischaikow
Topology and its Applications 154 (13), 2501-2520, 2007
392007
Lattice structures for attractors III
WD Kalies, K Mischaikow, RCAM Vandervorst
Journal of Dynamics and Differential Equations, 1-40, 2021
382021
Topological portraits of multiscale coordination dynamics
M Zhang, WD Kalies, JAS Kelso, E Tognoli
Journal of Neuroscience Methods 339, 108672, 2020
372020
Cubical approximation and computation of homology
W Kalies, K Mischaikow, G Watson
Banach Center Publications 47 (1), 115-131, 1999
371999
Efficient computation of Lyapunov functions for Morse decompositions
A Goullet, S Harker, K Mischaikow, W Kalies, D Kasti
Discrete Contin. Dyn. Syst. Ser. B 20 (8), 2418-2451, 2015
262015
Analytic continuation of local (un) stable manifolds with rigorous computer assisted error bounds
WD Kalies, S Kepley, JD Mireles James
SIAM Journal on Applied Dynamical Systems 17 (1), 157-202, 2018
252018
Verified homology computations for nodal domains
S Day, WD Kalies, T Wanner
Multiscale Modeling & Simulation 7 (4), 1695-1726, 2009
242009
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, 623-654, 2007
242007
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