Mathematica 3.0 is used for calculating the eigenvalues, partition function and level density of the hindered rotor by solving the appropriate Mathieu equation. An ...

This tutorial demonstrates the use of J/Link and Java swing methods to create an interactive environment for function manipulation in Mathematica 5.2. The notebook includes ...

The paper describes the Mathematica-based software for studying nonlinear control systems. The software relies on an algebraic method, called functions’ algebra. The ...

A volume integral method for the calculation of Doppler ultrasound spectral power density (spd) functions is described. Axisymmetric flow in a circular tube with a power law ...

Obtaining finite difference approximations using function values at equally spaced sample points is an important problem in numerical analysis. A familiar example is ...

We show how high-precision values of the coefficients of power series expansions of functions related to Riemann's Zeta function may be calculated. We also show how the ...

Many interesting solutions of the so-called Basler problem of evaluating the Riemann zeta function zeta(s) when s=2, which was of vital importance to Euler and the Bernoulli ...

Let G = SL(2,C) and Fr be a rank r free group. Given an admissible weight λ in N3r−3, there exists a class function defined on Hom(Fr , G) called a central ...

In this article algorithmic methods are presented that have essentially been introduced into computer algebra systems like Mathematica within the last decade. The main ideas ...

A program for calculating abscissas and weights of Gaussian quadrature rules for arbitrary weight functions and intervals is reported. The program is written in Mathematica. ...