Introduction and Overview of Hydrocode for Impact Cratering Modeling

An introduction to continuum mechanics and some numerical methods used for simulations of continuous phenomena, with a brief overview of their use in the numerical modeling of impact cratering phenomena. References are provided for more details.

Dynamical Numerics for Numerical Dynamics

An examination of the problem of assessing the validity of numerical simulations of continuous-time dynamical systems by treating numerical methods as discrete-time dynamical systems. Simulations of simple explicit and implicit Runge-Kutta methods, along with their Matlab code, are included.