Jacobi stability and dynamical systems analysis form a powerful framework for understanding the robustness and intricate evolution of nonlinear systems across diverse disciplines. By employing a ...

We develop a family of fast methods for approximating the solutions to a wide class of static Hamilton-Jacobi PDEs; these fast methods include both semi-Lagrangian and fully Eulerian versions.

In this paper an analysis will be presented for the ADI (alternating direction implicit) method of Peaceman and Rachford applied to initial-boundary value problems for partial differential equations ...