AccuracyGoal is an option for various numerical operations which specifies how many effective digits of accuracy should be sought in the final result.

PrecisionGoal is an option for various numerical operations which specifies how many effective digits of precision should be sought in the final result.

Compiled is an option for various numerical and plotting functions which specifies whether the expressions they work with should automatically be compiled.

The equations of motion for a free rigid body whose center of mass is at the origin are given by the following Euler equations (see [MR99]). Two quadratic first integrals of ...

Automatically selecting between hundreds of powerful and in many cases original algorithms, Mathematica provides both numerical and symbolic solving of differential equations ...

Mathematica 's functions for solving differential equations can be applied to many different classes of differential equations, including ordinary differential equations ...

In most cases, you want the head f of a Mathematica expression like f[x] to be a single symbol. There are, however, some important applications of heads that are not symbols. ...

Introduction ODE Integration Methods Partial Differential Equations

The shooting method works by considering the boundary conditions as a multivariate function of initial conditions at some point, reducing the boundary value problem to ...

The flexibility of Mathematica's symbolic architecture is reflected in its rich collection of carefully defined constructs for localization and modularization. The use of ...