Analysis of blood vessel topology by cubical homology. - Konstantin Mischaikow; Pawel Pilarczyk; William D. Kalies; Marc Niethammer; Andrew Stein; Allen R. Tannenbaum (ICIP (2), 2002)

An Algorithmic Approach to Chain Recurrence. - William D. Kalies; Konstantin Mischaikow; Robert C. A. M. Vandervorst (Found. Comput. Math., 2005)

On the detection of simple points in higher dimensions using cubical homology. - Marc Niethammer; William D. Kalies; Konstantin Mischaikow; Allen R. Tannenbaum (IEEE Trans. Image Process., 2006)

Verified Homology Computations for Nodal Domains. - Sarah Day; William D. Kalies; Thomas Wanner (Multiscale Model. Simul., 2009)

A Database Schema for the Analysis of Global Dynamics of Multiparameter Systems. - Zin Arai; William D. Kalies; Hiroshi Kokubu; Konstantin Mischaikow; Hiroe Oka; Pawel Pilarczyk (SIAM J. Appl. Dyn. Syst., 2009)

Rigorous Computation of the Global Dynamics of Integrodifference Equations with Smooth Nonlinearities. - Sarah Day; William D. Kalies (SIAM J. Numer. Anal., 2013)

Lattice Structures for Attractors II. - William D. Kalies; Konstantin Mischaikow; Robert C. A. M. Vandervorst (Found. Comput. Math., 2016)

Analytic Continuation of Local (Un)Stable Manifolds with Rigorous Computer Assisted Error Bounds. - William D. Kalies; Shane Kepley; Jason D. Mireles-James (SIAM J. Appl. Dyn. Syst., 2018)

An Algorithmic Approach to Lattices and Order in Dynamics. - William D. Kalies; Dinesh Kasti; Robert C. A. M. Vandervorst (SIAM J. Appl. Dyn. Syst., 2018)

Extracting Global Dynamics of Loss Landscape in Deep Learning Models. - Mohammed Eslami; Hamed Eramian; Marcio Gameiro; William D. Kalies; Konstantin Mischaikow (CoRR, 2021)

Complexity in a Hybrid van der Pol System. - Vincent Naudot; Shane Kepley; William D. Kalies (Int. J. Bifurc. Chaos, 2021)

Equilibria and their Stability in Networks with Steep Sigmoidal Nonlinearities. - William D. Kalies; Tomás Gedeon; Hiroshi Kokubu; Konstantin Mischaikow; Hiroe Oka (SIAM J. Appl. Dyn. Syst., 2021)

Identifying Nonlinear Dynamics with High Confidence from Sparse Data. - Bogdan Batko; Marcio Gameiro; Ying Hung; William D. Kalies; Konstantin Mischaikow; Ewerton R. Vieira (SIAM J. Appl. Dyn. Syst., 2024)