Homotopy continuation methods have proven to be reliable and efficient to approximate all isolated solutions of polynomial systems. In this paper we show how we can use this capabi...
Andrew J. Sommese, Jan Verschelde, Charles W. Wamp...
Viscous profiles of shock waves in systems of conservation laws can be viewed as heteroclinic orbits in associated systems of ordinary differential equations (ODE). In the case of ...
In this paper we propose a new framework for designing a delay differential equation (DDE) solver which works with any supplied initial value problem (IVP) solver that is based on...
The paper introduces a notion of support for realvalued functions. It is shown how to approximate supports of a large class of functions based on supports of so called polynomial ...
We describe Deskcheck, a parametric static analyzer that is able to establish properties of programs that manipulate dynamically allocated memory, arrays, and integers. Deskcheck c...