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Numerical Solving of ODEs and PDEs in Mathematica

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

1999 Mathematica Developer Conference
Conference location

Champaing, IL

This talk will look into NDSolve in some detail. Problems arising from the numerical solution of ordinary differential equations will be explored, including higher-order differential equations and systems of equations, initial- and boundary-value problems, and stiffness. The current state of the numerical solver for partial differential equations will be outlined. The various types of errors that inevitably arise will be highlighted. A short preview of upcoming features for NDSolve will also be included.

*Applied Mathematics > Numerical Methods
*Mathematics > Calculus and Analysis > Differential Equations
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ODEPDE.nb (3 MB) - Mathematica Notebook