William D. Kalies

According to our database, William D. Kalies authored at least 13 papers between 2002 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of three.

2024

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., March, 2024

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

Complexity in a Hybrid van der Pol System.

Vincent Naudot, Shane Kepley, William D. Kalies

Int. J. Bifurc. Chaos, 2021

Extracting Global Dynamics of Loss Landscape in Deep Learning Models.

Mohammed Eslami, Hamed Eramian, Marcio Gameiro, William D. Kalies, Konstantin Mischaikow

CoRR, 2021

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

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

2016

Lattice Structures for Attractors II.

William D. Kalies, Konstantin Mischaikow, Robert C. A. M. Vandervorst

Found. Comput. Math., 2016

2013

Rigorous Computation of the Global Dynamics of Integrodifference Equations with Smooth Nonlinearities.

Sarah Day, William D. Kalies

SIAM J. Numer. Anal., 2013

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

Verified Homology Computations for Nodal Domains.

Sarah Day, William D. Kalies, Thomas Wanner

Multiscale Model. Simul., 2009

2006

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

2005

An Algorithmic Approach to Chain Recurrence.

William D. Kalies, Konstantin Mischaikow, Robert C. A. M. Vandervorst

Found. Comput. Math., 2005

2002

Analysis of blood vessel topology by cubical homology.

Konstantin Mischaikow, Pawel Pilarczyk, William D. Kalies, Marc Niethammer, Andrew Stein, Allen R. Tannenbaum

Proceedings of the 2002 International Conference on Image Processing, 2002