The standard Newton-Raphson's method has been extended for under and overdetermined systems or in more general, for situations when the Jacobian is not regular, has deficient ...

This package allows to solve second order elliptic differential equations in two variables: div(a*grad u) - b*u = f in the domain domain u = gD Dirichlet boundary ...

This notebook demonstrates the Orszag-tau (a modification of the Galerkin) spectral method for a simple ODE and an ODE eigenvalue problem. It is intended as a first ...

Aitken's method allows faster computation of fixed points. It converges even when the direct approach to fixed point computation fails. Two simple examples are provided to ...

Mathematica contains Advanced Documentation in many areas. This notebook is an updated example of a notebook from Version 5 of Mathematica, and can be seen in the Help ...

This is an implementation of the Method of Multipliers (also known as the Augmented Lagrangian Method) due to Hestenes, Powell, Rockafellar and others. It solves nonlinear ...

Advanced Numerical Methods is a Mathematica application package that expands the functionality of the Control System Professional with an extensive collection of ...

In this paper, we present the detailed Mathematica symbolic derivation and the program which is used to integrate a one-dimensional Schrödinger equation by a new two-step ...

Liapunov functions allow the determination of stability for non- linear systems without the need to find exact solutions. The Variable Gradient Method provides a systematic ...

The chasing method proposed by Gelfand and Lokutzievskii and implemented in the Mathematica package "Numerical Solution of Linear Boundary Value Problems" is described. This ...