A commercial computer algebra program, Mathematica, is used to generate the C matrix that characterizes our implementation of the Löwdin alpha-function method as applied to ...

We present a number of programs to investigate and visualize chaos as it occurs with iterated application of functions. We look at ways to picture orbits under repeated ...

The Iterated Function Systems (IFS) model has been popularized by Barnsley as a useful method for generating self-similar fractals. This article introduces a package for ...

We describe a set of procedures that automate many algebraic calculations common in statistical asymptotic theory. The procedures are very general and serve to unify the ...

VisualDSolve, a package developed by Dan Schwalbe and Stan Wagon, provides a wide variety of tools for visualizing solutions to ordinary differential equations. Some of these ...

Permutation group approach to the one-dimensional XXX Heisenberg open spin-1/2 chain with nearest neighbor interaction is proposed, which is formulated not only for ...

The tools of lattice theory are applied to readdress the static state feedback linearization problem for discrete-time nonlinear control systems. Unlike the earlier results ...

Mathematica 10 introduces system-wide support for computation with geometric regions, both mesh-based discretized regions and exact symbolically specified regions. In my talk ...

We have applied the new approach of homotopic perturbation method (NHPM) for wave- and heat-like equation featuring time-fractional derivative. A combination of NHPM and ...

This book presents an introduction to the foundations, interpretations, and data-analytic applications of symmetry studies with an emphasis on applications in optical ...