Obtaining Feynman's path integral, which is a representation for the system's Green's function, is essential for many physical problems. In this paper, a symbolic algebra ...

In this work we give a detailed description of a method for the calculation of QCD corrections to electroweak processes in dimensional regularization that does not require ...

We review several notebooks at functions.wolfram.com and show that closed form expressions for general derivatives of some functions can be written in a shorter form (as a ...

We describe a reliable symbolic computational algorithm for inverting general cyclic heptadiagonal matrices by using parallel computing along with recursion. The ...

Courseware of a graduate-level course in Engineering Mathematics. Tutorial files in Mathematica concerning various topics accompany the textbook (Advanced Engineering ...

This non-traditional introduction to the mathematics of scientific computation describes the principles behind the major methods, from statistics, applied mathematics, ...

Recently a relationship was discovered between the number of permutations of n letters that have no increasing subsequence of length >k, on the one hand, and the number of ...

In this paper, a class of Lotka-Volterra discrete diffusion systems is considered. A mechanical procedure for checking the positive definiteness of polynomials from the ...

We describe a simplified cylindrical decomposition algorithm that allows us to find at least one rational point in each connected component of an open semialgebraic set. In ...

A primer for using Mathematica to add a new dimension to the way mathematics is taught and learned. Focuses on basics: "front-end" use of Mathematica, basic commands and ...