NIntegrate Integration Strategies (Mathematica Tutorial)

An integration strategy is an algorithm that attempts to compute integral estimates that satisfy user-specified precision or accuracy goals. An integration strategy normally ...

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 ...

Brent's Method (Mathematica Tutorial)

When searching for a real simple root of a real valued function, it is possible to take advantage of the special geometry of the problem, where the function crosses the axis ...

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 ...

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.

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.

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 ...

Im (Built-in Mathematica Symbol)

Im[z] gives the imaginary part of the complex number z.

Re (Built-in Mathematica Symbol)

Re[z] gives the real part of the complex number z.

TrekGenerator (Equation Trekker Package Symbol)

TrekGenerator is an option to EquationTrekker that specifies the method used to generate treks.