You can use these live scripts as demonstrations in lectures, class activities, or interactive assignments outside class. This module addresses standard topics from a first course in numerical methods ...

An entirely new framework is established for developing various single- and multi-step formulations for the numerical integration of ordinary differential equations. Besides polynomials, ...

Abstract: Analytically solving complex or large-scale differential equations is often difficult or even impossible, making numerical integration methods indispensable. However, as all numerical ...

Abstract: Differential equations are the main apparatus employed in continuous simulation for modeling dynamics in systems and processes, and an array of numerical integration methods is utilized to ...

This repo contains a simple numerical example (1d wave equation - constant velocity) intended for teaching and demonstration purposes. There are two files: One file with gaps that to be filled during ...