During our second semester calculus class, we learned about many types of integration. After learning about integrating by using antiderivatives, we explored numerical ...

The classical Gauss-Laguerre quadrature rule for the semi-infinite integration interval (10, variation) is modified and applied to the case of the weight function exp(-x)/x ...

A numerical method based on the Green's function (the potential theory) approach is adapted for computation of the electric fields in electrodynamic balances. The accuracy of ...

Theoretical details necessary to calculate arbitrary-order correction terms to vibrational-rotational energies and wave functions in Rayleigh-Schrödinger perturbation theory ...

Permutation theory has many applications in several fields of science and technology and it also has a charm in itself. Mathematica is particularly suitable for writing ...

The efficient expansions by classical orthogonal polynomials is a well known and hard solving problem for applied mathematics. At first sight there is no problem as ...

Given a set of vertices for a convex or concave polygon, a smooth and bounded interpolant (valid in the interior of the domain) may be constructed in an explicit algebraic ...

A recursion procedure for the analytical generation of hyperspherical harmonics for tetraatomic systems, in terms of row-orthonormal hyperspherical coordinates, is presented. ...

This is the only book written by a geologist specifically to show geologists and geoscientists how to use Mathematica to formulate and solve problems. It spans a broad range ...

In this paper third-, fifth-, seventh-, and ninth-order geometric spherical aberrations for Hutter's electrostatic lens have been studied analytically and calculated ...