OrthogonalProjection Method for NDSolve (Mathematica Tutorial)

Consider the matrix differential equation where the initial value y_0 y(0)∈^m×p is given. Assume that y_0^Ty_0I, that the solution has the property of preserving ...

Numerical Solution of Differential ... (Mathematica Tutorial)

The function NDSolve discussed in "Numerical Differential Equations" allows you to find numerical solutions to differential equations. NDSolve handles both single ...

Examples (DatabaseLink Tutorial)

This example shows how to use a private database to store Mathematica commands and query the data from Java and Mathematica. If you find that the examples in this section do ...

Introduction (NETLink Tutorial)

Welcome to .NET/Link, a product that integrates Mathematica and Microsoft's .NET platform. .NET/Link lets you call .NET from Mathematica in a completely transparent way, and ...

Function Approximations Package (Function Approximations Package Tutorial)

This loads the package. Economized rational approximations. A Pad é approximation is very accurate near the center of expansion, but the error increases rapidly as you get ...

Numerical Solution of Partial ... (Mathematica Tutorial)

The numerical method of lines is a technique for solving partial differential equations by discretizing in all but one dimension, and then integrating the semi-discrete ...

Finite Fields Package (Finite Fields Package Tutorial)

A field is an algebraic structure obeying the rules of ordinary arithmetic. In particular, a field has binary operations of addition and multiplication, both of which are ...

Formatted Output (Mathematica Tutorial)

Ever since Version 3 of Mathematica, there has been rich support for arbitrary mathematical typesetting and layout. Underlying all that power was a so-called box language, ...

Grids, Rows, and Columns in Mathematica (Mathematica Tutorial)

Mathematica provides a broad range of powerful constructs for laying out content on a screen or page. They are designed to be immediately useful for the beginner, yet also ...

Delay Differential Equations (Mathematica Tutorial)

A delay differential equation is a differential equation where the time derivatives at the current time depend on the solution and possibly its derivatives at previous times: ...