The Lie derivative, , which represents the rate of change of a differential form in the direction of a vector field X is also an intrinsic operator and therefore we expect that there exists a purely discrete operator L X which operates on cochains and satisfies the commutation relation .
People also ask
What is a discrete derivative?
What is the Lie derivative?
What is the lie bracket and Lie derivative?
What is the chain rule for Lie derivative?
The Lie derivative is the differential of the representation of the diffeomorphism group on tensor fields.
Apr 1, 2012 · In the discrete-time case we introduce the algebraic definition of the Lie derivative, using the concepts of forward and backward shifts. The ...
Abstract. In this paper, we present a numerical technique for performing Lie advection of arbitrary differential forms.
Abstract. The paper extends the concept of the Lie derivative of the vector field for the discrete-time case, preserving its geometrical meaning.
The paper extends the concept of the Lie derivative of the vector field, used in the study of the continuous-time dynamical systems, for the discrete-time case.
Dec 7, 2009 · In this paper, we present a numerical technique for performing Lie advection of arbitrary differential forms.
Mar 25, 2016 · Discrete Lie derivative. September 2015. Conference: ENUMATH 2015. Authors: Marc Gerritsma at Delft University of Technology · Marc Gerritsma.
The discrete exterior derivative ... Other operators and operations such as the discrete wedge product, Hodge star, or Lie derivative can also be defined.
Jun 23, 2017 · We have by using the Leibniz rule of the Lie derivative, [[LX,f],g](T)=[LX,f](gT)−g[LX,f](T)=LX(fgT)−fLX(gT)−gLX(fT)+fgLX(T)=(LX(fg))T+(fg)LX(T) ...
Missing: Discrete | Show results with:Discrete