The Implementation of Jet Transport Software

This chapter is devoted to introduce the Jet Transport (JT) technique, and considers both its algorithmic procedures and their implementation in a computer environment. In essence, JT technique is composed of polynomial expansion techniques (in Taylor or Chebyshev basis) and a series of associated algebraic operations defined in the algebra of polynomials. This polynomial approximation technique employs Taylor or Chebyshev polynomials to fit basic nonlinear functions up to an arbitrary order, such as exponentials, powers, logarithms, and trigonometric functions. The specific algebra trivially defines not only polynomial addition, subtraction, multiplication and division operations, but also some useful algorithms, such as polynomial composition, numerical integration, and domain splitting techniques. In what follows, all these operations are introduced in order to build a tailored JT framework for carrying out the polynomial-based semi-analytical method in an automatic, accurate and efficient way.