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

Mathematica represents vectors as lists, and never needs to distinguish between row and column cases. Vectors in Mathematica can always mix numbers and arbitrary symbolic or ...

NonConstants is an option for D which gives a list of objects to be taken to depend implicitly on the differentiation variables.

Mathematica has special sparse-array technology for efficiently handling arrays with literally astronomical numbers of elements when only a small fraction of the elements are ...

Polynomial algorithms are at the core of classical "computer algebra". Incorporating methods that span from antiquity to the latest cutting-edge research at Wolfram Research, ...

CDFWavelet[] represents a Cohen\[Dash]Daubechies\[Dash]Feauveau wavelet of type "9/7". CDFWavelet["type"] represents a Cohen\[Dash]Daubechies\[Dash]Feauveau wavelet of type " ...

BiorthogonalSplineWavelet[] represents a biorthogonal spline wavelet of order 4 and dual order 2.BiorthogonalSplineWavelet[n, m] represents a biorthogonal spline wavelet of ...

ReverseBiorthogonalSplineWavelet[] represents a reverse biorthogonal spline wavelet of order 4 and dual order 2.ReverseBiorthogonalSplineWavelet[n, m] represents a reverse ...

The aim of these tutorials is to provide a self-contained working guide for solving different types of problems with DSolve. The first step in using DSolve is to set up the ...

ButcherHeight[tree] gives the height of tree.