Specifying Derivatives (Mathematica Tutorial)

The function FindRoot has a Jacobian option; the functions FindMinimum, FindMaximum, and FindFit have a Gradient option; and the "Newton" method has a method option Hessian. ...

Piecewise (Built-in Mathematica Symbol)

Piecewise[{{val_1, cond_1}, {val_2, cond_2}, ...}] represents a piecewise function with values val_i in the regions defined by the conditions cond_i. Piecewise[{{val_1, ...

NewtonCotesWeights (Numerical Differential Equation Analysis Package Symbol)

NewtonCotesWeights[n, a, b] gives a list of the n pairs {x_i, w_i} of the elementary n-point Newton-Cotes formula for quadrature on the interval a to b, where w_i is the ...

FindMinimum (Built-in Mathematica Symbol)

FindMinimum[f, x] searches for a local minimum in f, starting from an automatically selected point.FindMinimum[f, {x, x_0}] searches for a local minimum in f, starting from ...

Using a Text-Based Interface (Mathematica Tutorial)

The standard front end interface, as discussed in "Using a Notebook Interface", is appropriate for most users' purposes. In some cases, however, you may not need to use the ...

IDA Method for NDSolve (Mathematica Tutorial)

The IDA package is part of the SUNDIALS (SUite of Nonlinear and DIfferential/ALgebraic equation Solvers) developed at the Center for Applied Scientific Computing of Lawrence ...

SetGraphOptions (Combinatorica Package Symbol)

SetGraphOptions[g, opts] returns g with the options opts set. SetGraphOptions[g, {v_1, v_2, ..., v_opts}, g_opts] returns the graph with the options v_opts set for vertices ...

Factorial2 (Built-in Mathematica Symbol)

n!! gives the double factorial of n.

ListVectorPlot3D (Built-in Mathematica Symbol)

ListVectorPlot3D[array] generates a 3D vector plot from a 3D array of vector field values.ListVectorPlot3D[{{{x_1, y_1, z_1}, {vx_1, vy_1, vz_1}}, ...}] generates a 3D vector ...

DifferentialRoot (Built-in Mathematica Symbol)

DifferentialRoot[lde] represents a function that solves the linear differential equation specified by lde[y, x].