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NDSolve Advanced Documentation: Method Plug-in Framework
Author

Rob Knapp
Organization: Wolfram Research, Inc.
Department: Kernel Technology
Description

Mathematica contains Advanced Documentation in many areas. This notebook is an updated example of a notebook from Version 5 of Mathematica, and can be seen in the Help Browser:

Built-in Functions > New in Version 5.0 > Numerical Computation > NDSolve (modified) > Advanced Documentation > ODE Integration Methods > Extensions

Built-in Functions > Numerical Computation > Equation Solving > NDSolve > Advanced Documentation > ODE Integration Methods > Extensions

It can also be found within the following Mathematica folder. If the updated notebook is desired, place it here.

Mathematica\5.0\Documentation\English\RefGuide\ AdvancedDocumentation\DifferentialEquations\Plug-ins.nb

Online, it can be seen within documents.wolfram.com

The explanation for this particular notebook begins as follows:

The control mechanisms set up for NDSolve have been set up so that you can define your own numerical integration algorithms and use them as specifications for the Method option of NDSolve.
Subject

*Mathematics > Calculus and Analysis > Differential Equations
Keywords

NDSolve, ODE Integration Methods
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Plug-ins.nb (155.4 KB) - The NDSolve Method Plug-in Framework