Projection Method for NDSolve (Mathematica Tutorial)

When a differential system has a certain structure, it is advantageous if a numerical integration method preserves the structure. In certain situations it is useful to solve ...

Orthogonal Polynomials (Mathematica Tutorial)

Orthogonal polynomials. Legendre polynomials LegendreP[n,x] arise in studies of systems with three-dimensional spherical symmetry. They satisfy the differential equation ...

InitializeGenerator (Equation Trekker Package Symbol)

InitializeGenerator[gen, problem, dvars, {t, t_min, t_max}, opts] returns the trek generator gen[data] when called by EquationTrekker. The specific form of data depends on ...

NFourierTransform (Fourier Series Package Symbol)

NFourierTransform[expr, t, \[Omega]] gives a numerical approximation to the Fourier transform of expr evaluated at the numerical value \[Omega], where expr is a function of t.

Fourier Series Package (Fourier Series Package Tutorial)

The Mathematica kernel provides the functions FourierTransform and InverseFourierTransform for computing the symbolic Fourier exponential transform and inverse transform. It ...

MiniMaxApproximation (Function Approximations Package Symbol)

MiniMaxApproximation[expr, {x, {x_0, x_1}, m, n}] finds the rational polynomial function of x, with numerator order m and denominator order n, that gives a mini-max ...

OrderStarPlot (Function Approximations Package Symbol)

OrderStarPlot[r, f] draws the order star depicting the region where | r/f | < 1 for the functions r and f.OrderStarPlot[r, f, z] draws the order star where r and f are ...

GTOPO30 (Mathematica Import/Export Format)

GTOPO30 global topographic data. United States Geological Survey (USGS) standard. Distribution format for a global digital elevation model (DEM) with 30-arc-second grid ...

SP3 (Mathematica Import/Export Format)

SP3 geospatial file format. National Geodetic Survey standard format. Stores information about the orbits of GPS satellites. SP3 is an acronym derived from Standard Product ...

AccuracyGoal (Built-in Mathematica Symbol)

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