Maple für Professional
Maple für Akademiker
Maple für Studenten
Maple Personal Edition
Maple Player
Maple Player für iPad
MapleSim für Professional
MapleSim für Akademiker
Maple T.A. - Testen & beurteilen
Maple T.A. MAA Placement Test Suite
Möbius - Online-Courseware
Machine Design / Industrial Automation
Luft- und Raumfahrt
Fahrzeugtechnik
Robotics
Energiebranche
System Simulation and Analysis
Model development for HIL
Anlagenmodelle für den Regelungsentwurf
Robotics/Motion Control/Mechatronics
Other Application Areas
Mathematikausbildung
Technik
Allgemein- und berufsbildende Schulen
Testen und beurteilen
Studierende
Finanzmodelle
Betriebsforschung
Hochleistungsrechnen
Physik
Live-Webinare
Aufgezeichnete Webinare
Geplante Veranstaltungen
MaplePrimes
Maplesoft-Blog
Maplesoft-Mitgliedschaft
Maple Ambassador Program
MapleCloud
Technische Whitepapers
E-Mail Newsletters
Maple-Bücher
Math Matters
Anwendungs-Center
MapleSim Modell-Galerie
Anwenderberichte
Exploring Engineering Fundamentals
Lehrkonzepte mit Maple
Maplesoft Welcome-Center
Resource-Center für Lehrer
Help-Center für Studierende
tensor[directional_diff] - compute the directional derivative
Calling Sequence
directional_diff( f, V, coord)
Parameters
f
-
scalar field
V
contravariant vector field
coord
list of coordinate names
Description
The function directional_diff(f, V, coord) computes the directional derivative of the scalar field f with respect to the coordinates coord in the direction of the contravariant vector V.
f must be of type algebraic, and V must be a tensor_type with index character [1] (a contravariant vector field). The result is an algebraic expression.
Simplification: This routine uses the `tensor/directional_diff/simp` routine for simplification purposes. The simplification routine is applied to each component of the gradient of f (an intermediate calculation) and once to the contraction of this gradient with V (the result). By default, `tensor/directional_diff/simp` is initialized to the `tensor/simp` routine. It is recommended that the `tensor/directional_diff/simp` routine be customized to suit the needs of the particular problem.
Examples
Compute the directional derivative of f with respect to coord in the direction of V:
Compute the directional derivative of an arbitrary scalar field g(x,y,z) in the direction of an arbitrary vector field U = (u1, u2, u3):
See Also
Physics[Vectors][DirectionalDiff], Student[MultivariateCalculus][DirectionalDerivative], tensor, tensor/Lie_diff, tensor/partial_diff, tensor[simp], VectorCalculus[DirectionalDiff]
Download Help Document