Writing in the Bulletin of the American Mathematical Society, William Thurston said: "Mathematicians have developed habits of communication that are often dysfunctional." Our ...

In this paper we design an algorithm using operational calculus methods and Mathematica functional programming operators. The purpose of the algorithm is the computation of ...

A symbolic procedure for deriving various finite difference approximations for the three-dimensional Poisson equation is described. Based on the software package Mathematica, ...

Virtually every RF circuit or system design incorporates semiconductor devices such as mixers, diodes, switches, and amplifiers. To some extent, all of these devices exhibit ...

Applying the higher-order averaging method, we study the periodically forced, standard Duffing oscillator. A package of the computer algebra system, Mathematica, recently ...

Arithmetic systems such as those based on IEEE standards currently make no attempt to track the propagation of errors. However a formal error analysis can be complicated and ...

The use of minimax approximation is suggested as the best possible approach during the evaluation of stress intensity factors from the respective integral including the ...

I will first derive the system of differential equations for parametrizing a plane curve, then extend the derivation to obtain a similar system of differential equations for ...

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 ...

We present an adaptive multiprecision poly-algorithm for the approximation of all the roots of polynomials with complex coefficients whose real and imaginary parts can be ...