13 citations · 45 across the 24 of their papers we have counts for
7 papers · 1 filter
Automated Bifurcation Analysis for Nonlinear Elliptic Partial Difference Equations on Graphs
John M. Neuberger, Nandor Sieben, James W. Swift
We seek solutions to the semilinear elliptic partial difference equation , where is the matrix corresponding to the Laplacian operator on a graph $…
Symmetry and Automated Branch Following for a Semilinear Elliptic PDE on a Fractal Region
John M. Neuberger, Nandor Sieben, James W. Swift
We apply the Gradient-Newton-Galerkin-Algorithm (GNGA) of Neuberger & Swift to find solutions to a semilinear elliptic Dirichlet problem on the region whose boundary is the Koch sn…
Computing Eigenfunctions on the Koch Snowflake: A New Grid and Symmetry
John M. Neuberger, Nandor Sieben, James W. Swift
In this paper we numerically solve the eigenvalue problem on the fractal region defined by the Koch Snowflake, with zero-Dirichlet or zero-Neumann boundary conditions…
Rectangular Polyomino Set Weak (1,2)-achievement Games
Edgar Fisher, Nandor Sieben
In a polyomino set (1,2)-achievement game the maker and the breaker alternately mark one and two previously unmarked cells respectively. The maker's goal is to mark a set of cells…
Morita Equivalence of C^*-Crossed Products by Inverse Semigroup Actions and Partial Actions
Nandor Sieben
Morita equivalence of twisted inverse semigroup actions and discrete twisted partial actions are introduced. Morita equivalent actions have Morita equivalent crossed products.
Bounds on the Rubbling and Optimal Rubbling Numbers of Graphs
Gyula Y. Katona, Nandor Sieben
A pebbling move on a graph removes two pebbles at a vertex and adds one pebble at an adjacent vertex. Rubbling is a version of pebbling where an additional move is allowed. In this…