JacobiCS (Built-in Mathematica Symbol)

JacobiCS[u, m] gives the Jacobi elliptic function cs(u | m).

JacobiDC (Built-in Mathematica Symbol)

JacobiDC[u, m] gives the Jacobi elliptic function dc(u | m).

JacobiNC (Built-in Mathematica Symbol)

JacobiNC[u, m] gives the Jacobi elliptic function nc(u | m).

JacobiNS (Built-in Mathematica Symbol)

JacobiNS[u, m] gives the Jacobi elliptic function ns(u | m).

JacobiSC (Built-in Mathematica Symbol)

JacobiSC[u, m] gives the Jacobi elliptic function sc(u | m).

KleinInvariantJ (Built-in Mathematica Symbol)

KleinInvariantJ[\[Tau]] gives the Klein invariant modular elliptic function J(\[Tau]).

RootIntervals (Built-in Mathematica Symbol)

RootIntervals[{poly_1, poly_2, ...}] gives a list of isolating intervals for the real roots of any of the poly_i, together with a list of which polynomials actually have each ...

Plot the Results of NDSolve (Mathematica How To)

NDSolve solves a differential equation numerically. It returns solutions in a form that can be readily used in many different ways. One typical use would be to produce a plot ...

Optimization (Mathematica Guide)

Integrated into Mathematica is a full range of state-of-the-art local and global optimization techniques, both numeric and symbolic, including constrained nonlinear ...

ImplicitRungeKutta Method for NDSolve (Mathematica Tutorial)

Implicit Runge–Kutta methods have a number of desirable properties. The Gauss–Legendre methods, for example, are self-adjoint, meaning that they provide the same solution ...