11 citations · 12 across the 7 of their papers we have counts for
9 papers
Invariant Polydiagonal Subspaces of Matrices and Constraint Programming
John M. Neuberger, Nándor Sieben, James W. Swift
In a polydiagonal subspace of the Euclidean space, certain components of the vectors are equal (synchrony) or opposite (anti-synchrony). Polydiagonal subspaces invariant under a ma…
A Bifurcation Lemma for Invariant Subspaces
John M. Neuberger, Nándor Sieben, James W. Swift
The Bifurcation from a Simple Eigenvalue (BSE) Theorem is the foundation of steady-state bifurcation theory for one-parameter families of functions. When eigenvalues of multiplicit…
Invariant synchrony subspaces of sets of matrices
John M. Neuberger, Nandor Sieben, James W. Swift
A synchrony subspace of R^n is defined by setting certain components of the vectors equal according to an equivalence relation. Synchrony subspaces invariant under a given set of s…
Synchrony and Anti-Synchrony for Difference-Coupled Vector Fields on Graph Network Systems
John M. Neuberger, Nándor Sieben, James W. Swift
We define a graph network to be a coupled cell network where there are only one type of cell and one type of symmetric coupling between the cells. For a difference-coupled vector f…
Newton's Method and Symmetry for Semilinear Elliptic PDE on the Cube
John M. Neuberger, Nandor Sieben, James W. Swift
We seek discrete approximations to solutions of semilinear elliptic partial differential equations of the form , where is a one-parameter family o…
An MPI Implementation of a Self-Submitting Parallel Job Queue
John M. Neuberger, Nandor Sieben, James W. Swift
We present a simple and easy to apply methodology for using high-level self-submitting parallel job queues in an MPI environment. Using C++, we implemented a library of functions,…