When numerically solving Hamiltonian dynamical systems it is advantageous if the numerical method yields a symplectic map. If the Hamiltonian can be written in separable ...

TeXForm[expr] prints as a TeX version of expr.

Most of the documentation provided for Mathematica is concerned with explaining what Mathematica does, not how it does it. But the purpose of this is to say at least a little ...

Extrapolation methods are a class of arbitrary-order methods with automatic order and step-size control. The error estimate comes from computing a solution over an interval ...

Some operators used in basic arithmetic and algebra. Note that the  for ∖[Cross] is distinguished by being drawn slightly smaller than the × for ∖[Times]. Interpretation of ...

The basic idea behind the "StiffnessSwitching" method is to provide an automatic means of switching between a nonstiff and a stiff solver. The "StiffnessTest" and ...

NSum[f, {i, i_min, i_max}] gives a numerical approximation to the sum \[Sum]i = i_min i_max f.NSum[f, {i, i_min, i_max, di}] uses a step di in the sum.

Type 2+2 and then press Shift+Enter (hold down the Shift key and press Enter) to tell Mathematica to evaluate your input. Note that labels are added automatically, and output ...

SawtoothWave[x] gives a sawtooth wave that varies from 0 to 1 with unit period.SawtoothWave[{min, max}, x] gives a sawtooth wave that varies from min to max with unit period.

SquareWave[x] gives a square wave that alternates between +1 and -1 with unit period.SquareWave[{y_1, y_2}, x] gives a square wave that alternates between y_1 and y_2 with ...