This paper presents a class of numerical methods for the approximate solution of ordinary differential equations where the derivatives depend on the history of the solution. These methods, which are ...

Numerical methods for systems of first order ordinary differential equations are tested on a variety of initial value problems. The methods are compared primarily as to how well they can handle ...

MECH.5200 — Graduate Id: 036063 Offering: 1 Credits: 3-3 Description Mathematical approaches for numerically solving partial differential equations. The focus will be (a) iterative solution methods ...

Description: Numerical solution of initial-value problems by Runge-Kutta methods, general one-step methods, and multistep methods; analysis of truncation error, discretization error, and rounding ...

Covers finite difference, finite element, finite volume, pseudo-spectral, and spectral methods for elliptic, parabolic, and hyperbolic partial differential equations. Prereq., APPM 5600. Recommended ...