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Introduction

  • Jianping Yuan,
  • Jianlin Chen,
  • Chen Gao,
  • Chuan Ma,
  • Josep J. Masdemont,
  • Gerard Gómez

摘要

The Jet Transport (JT) technique, also known as Differential Algebra (DA), is an automatic differentiation method that allows to obtain high-order Taylor expansions of nonlinear functions. This methodology has its origin in an attempt to solve analytical problems using an algebraic approach. In mathematics, the Jet is an operation that for a given differentiable function produces a Taylor polynomial at each point of its domain. The basic idea behind the JT method is to propagate jets along the vectorfield (map) of a continuous (discrete) dynamical system.