##### 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.