Math 622. Numerical Ordinary Differential Equations.  Lecture 3 hours; 3 credits. Prerequisite: MATH 409/509. An in-depth study of the numerical solution to ordinary differential and partial equations. Topics include linear multi-step methods, Runge-Kutta methods, methods for stiff differential equations, collocation methods, and strong and weak stability analysis for ODEs. For PDEs, finite difference methods are examined. This course is designated as a simulation course.