Many differential equations exhibit some form of stiffness, which restricts the step size and hence effectiveness of explicit solution methods. A number of implicit methods ...

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

A trust region method has a region around the current search point, where the quadratic model for "local minimization" is "trusted" to be correct and steps are chosen to stay ...

This loads the package. Economized rational approximations. A Pad é approximation is very accurate near the center of expansion, but the error increases rapidly as you get ...

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 ...

Cluster analysis is an unsupervised learning technique used for classification of data. Data elements are partitioned into groups called clusters that represent proximate ...

RudvalisGroupRu[] represents the sporadic simple Rudvalis group Ru.

Arithmetic Numerical Mathematics in Mathematica The Uncertainties of Numerical Mathematics

Mathematica 8 introduces a coherent collection of algorithms and data structures for working with permutation groups. Building upon Mathematica's proven symbolic ...

Mathematica has a collection of commands that do unconstrained optimization (FindMinimum and FindMaximum) and solve nonlinear equations (FindRoot) and nonlinear fitting ...