We derive two reaction–diffusion systems modeling the impact of a nuclear waste contamination on food chain population sets. We exhibit the numerical difficulties the problem features and provide second order accurate nonnegative approximate solutions in two space dimensions.

FastDer++ is a C++ class library for automatic differentiation designed for use in situations where a set of dependent variables and their gradients are to be evaluated in a large number of points. Typical settings constitute non-linear systems of partial differential equations (PDEs) and ODEs....

We develop computational mechanisms for intelligently simulating nonlinear control systems. These mechanisms enhance numerical simulations with deep domain knowledge of dynamical systems theory and control theory, a qualitative phase-space representation of dynamical systems, symbolic and...