#### Description:

Lagrange interpolation functions.What can be modified:

- order of interpolating polynom,
- number of elements,
- position of nodes,
- nodal values.

**Notice:**

- approximation is continuous and smooth (derivatives of all orders are continuous) within one element, while it is only continuous (it may "kink") between elements.
- interpolating functions has value equal to 1 at exacly one node, while it has value equal to 0 in all other nodes ("Kronecker delta property"),
- sum of values of interpolating functions in arbitrary point is equal to 1.
- change of nodal value affect the approximation only on element(s) which the node belongs to.

Contact: jan.stransky(at)fsv.cvut.cz

Last update: 25th September 2018

Last update: 25th September 2018

© 2011 - 2018 Jan Stránský

All rights reserved

All rights reserved