Given the path of a particle r=r(t), then the "inverse dynamical problem" is: what is the force F(t) acting on the particle? The problem posed will be illustrated using the ...

Mathematical modeling of the carcinogenic process has recently attracted considerable amonut of research efforts from quantitative cancer researchers. This notebook ...

A general method for approximate solution of one-dimensional Schrödinger equations with a wide range of square-integrable potentials is described. The potential is expanded ...

A symbolic approach to inverse boundary-value problems is described. Finite element or boundary element calculation of a given system is performed using symbolic parameters ...

The results of filter design obtained by solving non-linear coefficient derived polynomial equations is reported. Taking Butterworth filters as an example, and working with ...

The bifurcation solutions and their stability of a three-hinged rod under spring constraints and a kind of follower force is investigated. The equations for the system are ...

This paper treats the industrial application of computer-algebra simulation (CALS). CALS is a combination of symbolic and numeric methods, which is very well suited for ...

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 ...

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 ...

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 ...