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 ...

Calculus (Mathematica Overview)

Differentiation Total Derivatives Derivatives of Unknown Functions

Numerical Calculus Package (Numerical Calculus Package Tutorial)

The functions defined in the NumericalCalculus` context provide support for finding numerical solutions to calculus-related problems. This loads the package: The built-in ...

DiracDelta (Built-in Mathematica Symbol)

DiracDelta[x] represents the Dirac delta function \[Delta](x). DiracDelta[x_1, x_2, ...] represents the multidimensional Dirac delta function \[Delta](x_1, x_2, ...).

NonCommutativeMultiply (Built-in Mathematica Symbol)

a ** b ** c is a general associative, but non-commutative, form of multiplication.

QPolyGamma (Built-in Mathematica Symbol)

QPolyGamma[z, q] gives the q-digamma function \[Psi]_q (z).QPolyGamma[n, z, q] gives the n\[Null]^th derivative of the q-digamma function \[Psi]_q^(n)(z).

Notation, Symbolize and InfixNotation (Notation Package Tutorial)

Syntax of notation declarations. Notation takes both an external representation and an internal representation as arguments. Mathematica translates any input matching the ...

Work with Spline Functions (Mathematica How To)

Mathematica 's powerful spline functionality includes both numeric and symbolic support. Built-in basis polynomials and efficient spline construction provide a way to ...

Interpolation (Built-in Mathematica Symbol)

Interpolation[{f_1, f_2, ...}] constructs an interpolation of the function values f_i, assumed to correspond to x values 1, 2, ... . Interpolation[{{x_1, f_1}, {x_2, f_2}, ...

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 ...