Coarse function

Coarse function

In mathematics, coarse functions are functions that may appear to be continuous at a distance, but in reality are not necessarily continuous.[1] Although continuous functions are usually observed on a small scale, coarse functions are usually observed on a large scale.[1]

To evaluate a coarse function at a certain point, a set of nonlinear system of equations must be solved, making the computational cost of solving a coarse system fairly high.[2]

See also

References

  1. ^ a b Chul-Woo Lee and Jared Duke (2007), Coarse Function Value Theorems. Rose-Hulman Undergraduate Mathematics Journal 8 (2)
  2. ^ Dongarra, Jack; Madsen, Kaj; Wasniewski, Jerzy, eds (2006). Applied Parallel Computing: State of the Art in Scientific Computing. Germany: Springer-Verlag Berlin Heidelberg. pp. 316–322. ISBN 978-3-540-29067-4. http://books.google.com/books?id=ZqFkI1MufzMC.