When numerically solving Hamiltonian dynamical systems it is advantageous if the numerical method yields a symplectic map. If the Hamiltonian can be written in separable ...

CUDALink is a built-in Mathematica package that provides a simple and powerful interface for using CUDA within Mathematica's streamlined work flow. CUDALink provides you with ...

The C code generator can be used to create standalone executables that link to the Wolfram runtime library. This example creates a standalone C executable for a low-pass ...

FindHamiltonianCycle[g] attempts to find a Hamiltonian cycle.

MinimumBandwidthOrdering[g] attempts to find a vertex ordering that minimizes the bandwidth of the undirected graph g.MinimumBandwidthOrdering[m] attempts to find row and ...

RotationTransform[\[Theta]] gives a TransformationFunction that represents a rotation in 2D by \[Theta] radians about the origin.RotationTransform[\[Theta], p] gives a 2D ...

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 ...

This tutorial contains simple examples of DatabaseLink that give an overview of its functionality and some ideas of how to get started. It uses a lightweight database, ...

An integration rule computes an estimate of an integral over a region, typically using a weighted sum. In the context of NIntegrate usage, an integration rule object provides ...

One significant advantage Mathematica provides is that it can symbolically compute derivatives. This means that when you specify Method->"Newton" and the function is ...