Composition and Splitting Methods for ... (Mathematica Tutorial)

In some cases it is useful to split the differential system into subsystems and solve each subsystem using appropriate integration methods. Recombining the individual ...

Numerical Solution of Differential ... (Mathematica Tutorial)

The function NDSolve discussed in "Numerical Differential Equations" allows you to find numerical solutions to differential equations. NDSolve handles both single ...

ArcSinh (Built-in Mathematica Symbol)

ArcSinh[z] gives the inverse hyperbolic sine sinh -1 (z) of the complex number z.

BesselJ (Built-in Mathematica Symbol)

BesselJ[n, z] gives the Bessel function of the first kind J_n (z).

Erfi (Built-in Mathematica Symbol)

Erfi[z] gives the imaginary error function erf(i z)/i.

HypergeometricU (Built-in Mathematica Symbol)

HypergeometricU[a, b, z] is the confluent hypergeometric function U(a, b, z).

LaguerreL (Built-in Mathematica Symbol)

LaguerreL[n, x] gives the Laguerre polynomial L_n (x). LaguerreL[n, a, x] gives the generalized Laguerre polynomial L_n^a(x).

SpheroidalPS (Built-in Mathematica Symbol)

SpheroidalPS[n, m, \[Gamma], z] gives the angular spheroidal function PS n, m (\[Gamma], z) of the first kind.

Introduction to Advanced Numerical ... (Mathematica Tutorial)

The Mathematica function NDSolve is a general numerical differential equation solver. It can handle a wide range of ordinary differential equations (ODEs) as well as some ...

ArcCosh (Built-in Mathematica Symbol)

ArcCosh[z] gives the inverse hyperbolic cosine cosh -1 (z) of the complex number z.