Nonlinear PDEs (Mathematica Tutorial)

The general first-order nonlinear PDE for an unknown function u(x,y) is given by Here F is a function of uu(x,y), p ( ∂u(x,y) ) / ( ∂x ) , and q ( ∂u(x,y) ) / ( ∂y ) . The ...

NMinimize (Built-in Mathematica Symbol)

NMinimize[f, x] minimizes f numerically with respect to x.NMinimize[f, {x, y, ...}] minimizes f numerically with respect to x, y, .... NMinimize[{f, cons}, {x, y, ...}] ...

Data Transforms and Smoothing (Mathematica Guide)

Directly integrated into Mathematica's uniform architecture for handling lists of data is an array of highly optimized algorithms for transforming and smoothing datasets that ...

New in 6.0: Numerical Data Handling (Mathematica Guide)

Version 6.0 added a collection of carefully optimized functions to Mathematica's powerful arsenal of numerical handling capabilities.

StruveH (Built-in Mathematica Symbol)

StruveH[n, z] gives the Struve function H n (z).

InterpolatingFunction (Built-in Mathematica Symbol)

InterpolatingFunction[domain, table] represents an approximate function whose values are found by interpolation.

FindRoot (Built-in Mathematica Symbol)

FindRoot[f, {x, x_0}] searches for a numerical root of f, starting from the point x = x_0.FindRoot[lhs == rhs, {x, x_0}] searches for a numerical solution to the equation lhs ...

Reduce (Built-in Mathematica Symbol)

Reduce[expr, vars] reduces the statement expr by solving equations or inequalities for vars and eliminating quantifiers. Reduce[expr, vars, dom] does the reduction over the ...

Mathieu and Related Functions (Mathematica Tutorial)

Mathieu and related functions. The Mathieu functions MathieuC[a,q,z] and MathieuS[a,q,z] are solutions to the equation y^′′+[a-2qcos(2z)]y0. This equation appears in many ...

Accumulate (Built-in Mathematica Symbol)

Accumulate[list] gives a list of the successive accumulated totals of elements in list.