NullSpace[m] gives a list of vectors that forms a basis for the null space of the matrix m.

ButcherPhi[tree, s] gives the weight of tree in an s-stage Runge\[Dash]Kutta method. ButcherPhi[tree] gives the weight of tree in stage-independent tensor notation.

ButcherPrincipalError[p, s] gives the principal error for a method of order p with s stages. ButcherPrincipalError[p] gives the principal error using stage-independent tensor ...

GaussianQuadratureError[n, f, a, b] gives the leading term in the error of the elementary n-point Gaussian quadrature formula for the function f on an interval from a to ...

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

Explicit is a setting for the option RungeKuttaMethod specifying the type of Runge\[Dash]Kutta method to be generated.

QuadratureType is an option to NewtonCotesWeights and NewtonCotesError that specifies whether the endpoints are to be included as abscissas.

Mathematica has the most extensive collection of mathematical functions ever assembled. Often relying on original results and algorithms developed at Wolfram Research over ...

The differential equations that arise in practice are of two types. Here is an example of the first type. Here is an example of the second type. This equation has a symbolic ...

Systems of ODEs are important in various fields of science, such as the study of electricity and population biology. Like single ODEs, systems of ODEs can classified as ...