Error and Exponential Integral Functions (Mathematica Guide)

Using original algorithms developed at Wolfram Research, Mathematica evaluates error and exponential integral functions anywhere in the complex plane, to arbitrary ...

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 ...

PolyGamma (Built-in Mathematica Symbol)

PolyGamma[z] gives the digamma function \[Psi](z). PolyGamma[n, z] gives the n\[Null]^th derivative of the digamma function \[Psi] (n) (z).

ButcherSimplify (Numerical Differential Equation Analysis Package Symbol)

ButcherSimplify is an option to RungeKuttaOrderConditions that specifies whether to apply Butcher's row- and column-simplifying conditions.

NMaximize (Built-in Mathematica Symbol)

NMaximize[f, x] maximizes f numerically with respect to x.NMaximize[f, {x, y, ...}] maximizes f numerically with respect to x, y, .... NMaximize[{f, cons}, {x, y, ...}] ...

NMinimize (Built-in Mathematica Symbol)

NMinimize[f, x] minimizes f numerically with respect to x.NMinimize[f, {x, y, ...}] minimizes f numerically with respect to x, y, .... NMinimize[{f, cons}, {x, y, ...}] ...

NewtonCotesError (Numerical Differential Equation Analysis Package Symbol)

NewtonCotesError[n, f, a, b] gives the error in the elementary n-point Newton-Cotes quadrature formula for the function f on an interval from a to b.

PolyLog (Built-in Mathematica Symbol)

PolyLog[n, z] gives the polylogarithm function Li_n (z).PolyLog[n, p, z] gives the Nielsen generalized polylogarithm function S n, p (z).

SetPrecision (Built-in Mathematica Symbol)

SetPrecision[expr, p] yields a version of expr in which all numbers have been set to have precision p.

RungeKuttaOrderConditions (Numerical Differential Equation Analysis Package Symbol)

RungeKuttaOrderConditions[p, s] gives a list of the order conditions that any s-stage Runge\[Dash]Kutta method of order p must satisfy. RungeKuttaOrderConditions[p] gives the ...