Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Integrate discrete data

  1. Nov 8, 2012 #1
    I have a grid and on each point on the grid I have discrete velocity data. I however donot have anyalytical function. I need to integrate the points and check where in space they will be after some time. I know it very easy to do it with runge-kutta if i have the analytical function for velocity but how can i do it just using the discrete data??

    Attached Files:

  2. jcsd
  3. Nov 8, 2012 #2


    User Avatar
    Science Advisor

    "Runge-Kutta", or any numerical integration method, sums values of f at discrete points: f(x+ nh, y+ mk), for example. Just use the given function values, choosing [itex]\Delta x[/itex], [itex]\Delta y[/itex] as the distances between the given x and y values rather than a fixed step like "x+ nh" or "y+ mk".
  4. Nov 9, 2012 #3
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Integrate discrete data Date
How to discretize an integral Mar 24, 2015
Trapezoidal Integral of Discrete Values Apr 5, 2014
Discretizing an integral Mar 19, 2012
Discrete Surface and Volume Integrals Dec 26, 2010
Integrals and continuum vs discrete Jun 4, 2010