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 of a multigrid method for nonsymmetric and/or indefinite elliptic problems is presented. In this multigrid method various types of smoothers may be used. One type of ...

Introductory course on using a range of finite-difference methods to solve initial-value and initial-boundary-value problems involving partial differential equations. The course covers theoretical ...