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

Abstract: We use Whitham’s averaged Lagrangian method extended with the multiple-scale formalism to derive a sixth-order nonlinear Schrödinger equation for the complex ...

Methods are given whereby the steady-state kinetic characteristics of multienzyme reactions consisting of individual single-enzyme reactions linked by freely diffusible ...

We offer a large collection of Mathematica notebooks used in a graduate course on equilibrium statistical mechanics. Two types of notebooks are provided: Formalism ...

Taking into account uncertainties on data or parameters while certifying results of computations in terms of bounding of errors is a big challenge that has to be faced by ...

This paper presents a new technique for achieving spectral accuracy and fast computational performance in a class of black hole perturbation and gravitational self-force ...

In this paper we report the development of a symbolic computing tool for the automatic design of linear and nonlinear state observers for nth order nonlinear dynamical ...

The Galois Field package is an implementation of finite fields in Mathematica. The package uses the same operations as Mathematica itself (i.e., +,-,*,/ ,^): this requires ...

One of the most known deterministic prime number testing methods is due to Wilson [1]. Wilson's theorem states that p is prime iff (p-1)!= -1 mod p. Here we derive from both ...

An advanced applied mathematics textbook presenting methods for modeling scientific computations with Mathematica. Presents an overview of the essential subjects relative to ...