Test Problems (Mathematica Tutorial)

All the test problems presented in [MGH81] have been coded into Mathematica in the Optimization`UnconstrainedProblems` package. A data structure is used so that the problems ...

Application Structure (TetGenLink Tutorial)

TetGenLink is a Mathematica application that makes the functions of TetGen available to Mathematica. This is done with Wolfram LibraryLink, which allows TetGen to be used in ...

Histogram3D (Built-in Mathematica Symbol)

Histogram3D[{{x_1, y_1}, {x_2, y_2}, ...}] plots a 3D histogram of the values {x_i, y_i}.Histogram3D[{{x_1, y_1}, {x_2, y_2}, ...}, bspec] plots a 3D histogram with bins ...

Eigensystem (Built-in Mathematica Symbol)

Eigensystem[m] gives a list {values, vectors} of the eigenvalues and eigenvectors of the square matrix m. Eigensystem[{m, a}] gives the generalized eigenvalues and ...

Interaction with Mathematica (Library Link Tutorial)

Wolfram LibraryLink allows dynamic libraries to be directly loaded into the Mathematica kernel so that functions in the libraries can be immediately called from Mathematica. ...

Calling Mathematica from .NET (NETLink Tutorial)

"Calling .NET from Mathematica" describes using .NET/Link to allow you to call from Mathematica into .NET, thereby extending the Mathematica environment to include the ...

Numerical Nonlinear Local Optimization (Mathematica Tutorial)

Numerical algorithms for constrained nonlinear optimization can be broadly categorized into gradient-based methods and direct search methods. Gradient search methods use ...

SymplecticPartitionedRungeKutta Method ... (Mathematica Tutorial)

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 ...

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 ...

DiscretePlot3D (Built-in Mathematica Symbol)

DiscretePlot3D[expr, {i, i_min, i_max}, {j, j_min, j_max}] generates a plot of the values of expr when i runs from i_min to i_max and j runs from j_min to ...