Integreat Package

Documentation	Installation
Examples

Integreat is a comprehensive Mathematica package for deriving and analyzing time integration methods including

Runge–Kutta (RK) methods

Functions for 30+ method properties

Support for embedded pairs and dense output

Order conditions generated via B-trees

Linear multistep methods (LMMs)

Constructors for Adams methods, BDF, Nyström methods, and other popular families

Functions for 10+ method properties

General linear methods (GLMs)

Functions for 15+ method properties

Support for casting RK methods and LMMs as GLMs

Order conditions for high stage order methods

Trees for Taylor series analysis

B-trees

N-trees for partitioned ODEs

Arbitrary-index DAE-trees

Documentation

View the online documentation

For catalogs of functions provided by Integreat and links to function documentation, see the guide pages:

Runge–Kutta Methods

Linear Multistep Methods

General Linear Methods

The tech notes provide some mathematical background, example code, and discussions about the package:

Runge–Kutta Methods

Linear Multistep Methods

General Linear Methods

Examples

Compute properties of a Runge–Kutta method:

Derive the second order Adams–Bashforth method:

Installation

Installing or upgrading Integreat is as simple as running

Once installed, Integreat subpackages can be loaded with

Integreat can be uninstalled using